diff --git "a/data/dm_maths/full_data_2/10785_11255.jsonl" "b/data/dm_maths/full_data_2/10785_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10785_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 13005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 6. Let r be t(5). Let n be -1*(4 - 52\/r). Put 0.1, n, -10, 0.3 in increasing order.\nAnswer: -10, n, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016715 + 0.2.\nAnswer: 0.183285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70060214 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10916*d + 30431 + 373*d**3 - 30431 + 10916*d.\nAnswer: 373*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 517580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 8*u**4\/3 + 7*u**3 - 60*u**2. What is the derivative of c(i) wrt i?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -289, -396, -505, -616, -729?\n\"Answer: -j**2 - 104*j - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754 is divided by 5 + (2 - 4) + -12 + 879.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z**3 - 41*z**3 + 209*z**2 - 26*z**3.\nAnswer: -102*z**3 + 209*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**2\/2 + 13*t + 7. Let y be h(-15). Let r be (y\/(-35))\/(-2 - (-51)\/15). Is r less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -89)\/((-170)\/68)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01281912527 rounded to five decimal places?\nAnswer: -0.01282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e5e - -1?\nAnswer: -e5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*j + 1, 5*r + 3 = 5*j + 8. Factor r*g**2 + 39*g**3 - g**2 - 37*g**3 - 3*g**2 - 4*g.\nAnswer: 2*g*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2007522 (base 8) to base 5.\nAnswer: 113400320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762047.7kg to grams.\nAnswer: 762047700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + l)*(14*l**3 - 43*l**3 - 36*l**3).\nAnswer: -130*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.29541 rounded to 0 decimal places?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 15*t**2 + 216*t - 590. Calculate f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 greater than -11239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -313 + 313. Let f(k) be the second derivative of -1\/6*k**4 + 0*k**2 + 2*k + y + 0*k**3. Let w(m) = -4*m**2. Calculate -9*f(r) + 4*w(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, c: 1, n: 4, o: 3, g: 1}. Give prob of picking 2 n, 1 g, and 1 c.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 304\/9*1 + (-2)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/22*(-2)\/(-1). Which is the fourth smallest value? (a) 3\/5 (b) u (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -4*r. Calculate the smallest common multiple of r and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 1 (c) -0.6 (d) 6\/67 (e) -2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*-1)\/((-118)\/9676)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 5*m**4 - 2*m**4 + ((-7*m**3 + 1 - 1)*(-2*m - 2*m + 7*m) + m**2 + m**4 - m**2)*(-3 + 2 + 3).\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p + 3. Let s(w) = w**2 - 4*w - 4. Let m be s(4). Let i be r(m). Let o(z) = -z + z + i + 7*z. Let h(g) = -4*g - 4. What is 5*h(l) + 3*o(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**4 - 2*h**3 + 293777*h**2 - 3809288*h + 2?\nAnswer: -48*h**2 - 12*h + 587554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.839 - 0.201. Let r = 0.04 + w. What is the nearest to 0.3 in r, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61738372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z - 3 = 0. Suppose -2*w + 4*v + 12 = 0, -z*w + 5*v + 28 = v. Suppose -c = 3*c - w. What is the greatest common divisor of 32 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69736 or -200?\nAnswer: -69736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:56 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068269634 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/3)\/n)\/n*n)\/(n*n**(-6\/5)))\/(n**(7\/4)*n*n**(-3)) assuming n is positive.\nAnswer: n**(-53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Let x(q) = 8*q + 7. Let y(n) = 9*n + 8. Let h(d) = 7*x(d) - 6*y(d). Calculate h(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (3*(-1*sqrt(104) + sqrt(104)) - sqrt(104)))\/(sqrt(8) - sqrt(800)*2).\nAnswer: -2*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000101 + 100?\nAnswer: 110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/(-4) + (-7)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n + 3*n - 2*i, -3*n = -3*i + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(8)\/sqrt(4) + 4 + sqrt(2)))*2)**2.\nAnswer: 32*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(((-12)\/66)\/(24\/36)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2) - 6*(sqrt(2) - 1*sqrt(2))) + ((sqrt(11) - (-2*sqrt(11) - sqrt(11))) + -5 + sqrt(99)*-2)**2.\nAnswer: 69 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 442051.7g?\nAnswer: 442051700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 8*n - 15. Give v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42, 164, 366, 648?\n\"Answer: 40*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848935000 rounded to the nearest one million?\nAnswer: 2849000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9. Let i = -3 - -3. Let f = d - i. Let o(q) = q**2 - q - 1. Determine o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(9) + (sqrt(9) - sqrt(900)) + sqrt(9)) + 6*sqrt(11)*2)*-2*-6)**2.\nAnswer: 10912176\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - v = -10, 3*x - 2*v - 8 = -0*x. Solve 3*n - x*n = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.015 - -0.215. Sort -0.1, 4, 5, p in decreasing order.\nAnswer: 5, 4, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872846?\nAnswer: 2, 3, 104047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1529656 + 5629656. Round g to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2534)\/420 + (-9)\/30 - 2\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d - 130*d**2 - 14*d + 11*d - 1. Let m be f(1). Is 22 a factor of (4 - 2)\/(3\/m*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1139\/91 + -3\/182. Let c = -13 + s. Let j = -253\/405 + 2\/81. What is the third biggest value in j, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -17*w + 14*w. Solve -2*m + 15 = m - 3*h, w*m + 2*h = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*p + 22, 4*q = 4*p - 22 - 34. Let r(j) = 2*j**2 - 21*j + 3. Let k be r(9). Let z = q - k. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/(v\/(v*v*(v*v**(-2\/29))\/v*v*v)))*v*v**6\/v assuming v is positive.\nAnswer: v**(118\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dfe7 - -7?\nAnswer: dfee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*w + 22 = 7559 - 607 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 11) in base 13?\nAnswer: c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w + 5. Let q be o(-2). Let v be (30\/(-20))\/(5\/(-8) - q). Which is the fourth biggest value? (a) 4 (b) -2\/19 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 15*x + 5*x - 3*x + 0*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*i + 8 = 0, -2*u - u = 3*i - 12. Suppose 0 = -u*p - 3*p - 15. Sort p, -1, 0 in descending order.\nAnswer: 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 913952*x + 14480427\/5 - 1\/5*x**4 + 504\/5*x**3 - 84162\/5*x**2 = 0.\nAnswer: -3, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d7a8 + -748?\nAnswer: 6d060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obb when three letters picked without replacement from {o: 1, f: 1, b: 2, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13819746 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*h**3*s - 9*h**3 - h**2*s**2 + 23*h**2 - 6*h*s**2 wrt s.\nAnswer: 13*h**3 - 2*h**2*s - 12*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 17. Let m(v) = 67*v + 16. Calculate -4*m(q) + 4*w(q).\nAnswer: -264*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 875 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1063068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/147)\/(12\/(-56)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174393135?\nAnswer: 5, 19, 29, 37, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 - 11540*f**4 + 4*f**2 + 508?\nAnswer: 60*f**2 - 276960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i + 749. Let o be l(84). Solve 15*p = -o + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose 1 = 5*n - h, -4*h + 0*h = 5*n - 21. Let k be (4\/(-4)*0)\/(-1). Let x be 1 - 6*(k - -1). Sort n, x, 4 in descending order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/35 + 24\/5. Solve 0*x + 16 = q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + 4\/(-6) - -1. Solve 2*r - 2*b - b = 2, k = -b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -511*h + 0*h**3 + 574*h + 10 + 18*h**2 + h**3. What is the remainder when b(-13) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -43, 3, 1, -109, 5 in ascending order.\nAnswer: -109, -43, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117.034 + 0.034. Let l = v + 122. Suppose 0 = 2*p + 3 - 1. What is the nearest to 0 in -0.5, l, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 24621132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w + 137. What is c(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-7))\/(4\/3164) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/8654958 and 74\/447.\nAnswer: 1289588742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-544.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -3301\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d - 3*t + 4704, 4*d = -3*t + 6272. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*o = 5*n - 17, -n = -2*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0275 + -679.0275. Let z = x + 679.00000349. What is z rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -922*i**3*m*y + 86*i**3*y**3 - 132*i**3 + 2*i**2*m*y**3 - 2*i**2*m*y + 2083*i**2*m + 6*i + 2*m*y**3 + 79*y**2 wrt i?\nAnswer: -5532*m*y + 516*y**3 - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554771 to the power of 1\/2, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/513)\/(3\/(-27))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a factor of 103864264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26475, -52950, -79425, -105900, -132375?\n\"Answer: -26475*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-5)*(-10)\/12. Suppose w*y = -2 + 12, -u + 59 = -4*y. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = t, -4*x - t + 0*t = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 265826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.812 - -11.842. What is the third smallest value in r, 5\/6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 5 - 2*i + 2)*(725*i - 50*i**3 - 725*i).\nAnswer: -100*i**4 + 150*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6073 - 0.60735164. Round r to six dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l**(-1))\/(l**(-2)\/(l*l*l**(-1)*l*l))*(l**(-1))**(11\/9)*l**(-6\/7)\/(l**(-3\/10)\/l*l) assuming l is positive.\nAnswer: l**(2659\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(1900))**2 + 1).\nAnswer: -7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 394*l**2 - 5669*l + 4. Calculate c(-81).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**4 + 25*q**3 - 15*q**2 - 25. Let d(a) = -9 + 10 + 48*a**2 - a**3 - 48*a**2. Let m(b) = 50*d(b) + 2*x(b). Find the third derivative of m(s) wrt s.\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*y - 8 = 0, 15*v + v + y + 50 = 3*v + 5*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -27284.\nAnswer: -27283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66046871 to the nearest integer?\nAnswer: 8127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 23 = -3*w + 152, 0 = 2*w + 4*u - 90. Calculate the remainder when 63 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*q + 7, -2*n - q + 2 = -3*n. Let x(i) = 3*i - 1. Suppose y + 0*y = -2. Let u(m) = -4*m + 2. Let l(w) = y*u(w) - 3*x(w). Give l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 22*d**2 + 2606*d - 103. What is the units digit of u(-46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976 is divided by 644.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 369311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:19 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23330679 divided by -47711.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10828918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33\/10 + -81\/20. Let b = 1 - 1. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, v: 5, r: 3, b: 1, u: 1}. Give prob of sequence bvmr.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1885, 18824 in decreasing order.\nAnswer: 18824, 1885, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20703983 >= 20703982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 21415?\nAnswer: -21414.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16553 + -15233?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62562 divided by 2?\nAnswer: -31281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Suppose -3*q = -3*c - 21, 0 = n*c + 2 + 6. Let r = 0 + q. What is the smallest value in 2\/3, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/13 + 12*w**2 + 154*w\/13 = 0. Calculate w.\nAnswer: -77, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -21. Is d >= -7\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -121932?\nAnswer: 41\/121932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 1 + -3 + -2*sqrt(325) + 4))**2 + 4.\nAnswer: 180*sqrt(13) + 11713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 11 = -y, 95320 - 95322 = -3*o + 4*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (624\/65)\/((-36)\/(-45)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 337, 6, 1 in descending order.\nAnswer: 337, 6, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - -1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 3. Let t(x) = 18*x + 1 - 68*x + 21*x + 28*x. What is -i(y) - 4*t(y)?\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d - 65. Let h(p) = -7*p + 32. What is -13*h(w) - 6*l(w)?\nAnswer: w - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -3.35024?\nAnswer: -0.3015216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2836 is divided by 108.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9 + 3 - 18 + 0 - 4*u. Let p(t) = 5*t + 24. Let o(m) = -4*d(m) - 3*p(m). What is the units digit of o(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 50. Let d(i) = -2*i - 26. Determine 8*b(n) + 18*d(n).\nAnswer: 12*n - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 7*r - 4. Let f(x) = -3*x**2 + 12*x + 6. Let a(t) = 5*d(t) + 3*f(t). Suppose 2*p = -0*p + 12. What are the prime factors of a(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0 + 0*t**3 + 3*t + 0*t**2 - 1\/6*t**4. Let u(f) = 2*f. Give h(u(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1497*r**3 - 894*r**3 - 53*r**2 + 17*r**2 + 20*r**2 + 16*r**2.\nAnswer: -2391*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/50*6*15\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/5, 3, -1.18, 2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 24. Give a(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 35. Let l = -2214 + 1327. Is 4\/14 - l\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 20*n**2 + 3. Suppose 4*c + 80 = -5*w, -6*w + c = -3*w + 65. Let m be g(w). Factor -4*f**5 + 13*f**m - 9*f**3 + 4*f**4 - 8*f**2 + 4*f**2.\nAnswer: -4*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4507*h - 946*h**2 + 7531*h - 6694*h - 4426*h**2 wrt h.\nAnswer: -10744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:29 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51980345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1674*k - 9458*k - 12440*k as t*k + x and give t.\nAnswer: -23572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let h(o) be the first derivative of -15*o**2 + 146*o - 146*o + 28. Determine h(x(f)).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/4 + 23930\/20. Suppose 5*s = 4*m + n, 2*m = 5*s - 846 - 346. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563538632 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + (-4 - (1 - 2)). Suppose -6 = 2*u - 4*m - 16, -5*m + t = 3*u. Solve 20 = -2*h - u*y, 10 = -4*h - 2*y - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1788 is divided by 1783.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 64 = -11*p. Let s(z) = -z**3 - 9*z**2 + z + 13. Let f be s(-9). Suppose -f*r = r - 80. Calculate the highest common factor of p and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -239356?\nAnswer: -239356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -42.\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2991, 2 in ascending order.\nAnswer: -3, 2, 5, 2991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 4. Let l be n(4). Let h be 15\/27 - (-4)\/l. Which is the nearest to h? (a) 0.3 (b) -0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let d(b) = 6*b. Let s(q) = -d(q) + 4*t(q). Let f(r) = 24*r**2. Determine f(s(l)).\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*k + 34 - 85 = 0, 0 = -2*u - 5*k + 37. Calculate the remainder when (9\/(-2))\/((-12)\/u) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9a (base 13) to base 15.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - -515?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, b: 2, o: 10}. Give prob of sequence oo.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 1, f: 1, z: 4, e: 2, t: 3}. What is prob of sequence zbzt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q - 4828 = 44*q + 7*q for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8574 - 68677\/8. Let p = -1412\/315 - 20\/63. What is the common denominator of f and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 6*a - 82. Solve -o - 7 = -2*c, -5 - 1 = -3*c + a*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54416411 is divided by 4218.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 1235 - 3370. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 3}. What is prob of picking 1 q and 2 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-3) + -44)*-1. Suppose -2*f = -h - 32. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/15730 and 109\/126555.\nAnswer: 2784210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) 0.2 (d) 0 (e) -5 (f) -4629\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 0*o + 162 = 0. Let q = 30 - o. Solve -2*x + 1 = -q*x + i, -3*x = -i + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1452, -0.4, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -2\/5 (c) 3239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12595759*f**3*o**3*z - 12*f**3*o**2*z - 2*f**2*o**3 + 2*f**2*o*z - 37*f*o**3*z + 371095*f*o**3 wrt f.\nAnswer: -75574554*o**3*z - 72*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 691160 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4062876.848 rounded to the nearest ten thousand?\nAnswer: 4060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 - -461. Suppose -5697*d + 5693*d + 100 = -0. What is the greatest common factor of c and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a + 3. Suppose -b + o + 4 = -a, 3*o + 17 = b. Suppose 0 = -b*m + 8 + 7. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -9, -11, -13?\n\"Answer: -2*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.456, 0, -0.4, -1\/8, -4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**2 - 25*l + 30. Let b(x) = 9 + 5*x + 3*x**2 - 4 - 3 - x - 3*x. Let i(v) = 4*b(v) + y(v). Let i(p) = 0. Calculate p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57\/9 + 2\/(-6). Let m(i) = -2*i**2 + 8*i - 1. Let o be m(c). Let w = 30 + o. What is the remainder when 17 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3912, -7502, -10766, -13704, -16316?\n\"Answer: 163*w**2 - 4079*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*c + 16 = -2*c, -h = 3*c + 18. Is -65\/3 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from {c: 1, m: 6, o: 1, a: 2, r: 8, f: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 15, 4, -11?\n\"Answer: -2*l**2 - l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -20*g**3 + 8*g**2 + 11*g - 4. Let d(b) = -13*b**3 + 5*b**2 + 7*b - 3. Suppose -5*v + 90 - 66 = -2*o, -3*o = -2*v - 8. Calculate v*d(c) - 5*l(c).\nAnswer: -4*c**3 + c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 2729 = 6*j - 91. Solve j = 15*f + 141 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*-6)\/(sqrt(27)\/sqrt(48)).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005066617913 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m**2 + 7*m - 33. Let n(h) = -4*h**2 + 2*h - 12. Determine 8*n(v) - 3*r(v).\nAnswer: v**2 - 5*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16158081 to the power of 1\/2, to the nearest integer?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + -72. Let o = n - -215. List the prime factors of o.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21527033 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -89*m**2 + 223*m - 9. What is n(3)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2294499234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 4*z - 2. Let w(u) = -u**2 - u. Let s be w(-4). Let p = s - -8. Give i(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*i + 12*i - 19*i)*((1 + 0 - 2)*(-3 - 4 + 3) - 1 - 1 + 4) as y + b*i and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -112. Suppose 2*i + 190 = 4*g, -4*i - 170 = -l*g - 6*i. What is the common denominator of (-1 - (-26)\/4)*g\/126 and -39\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2637115 (base 8) to base 6\nAnswer: -23443153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6048 and 27637281.\nAnswer: 884392992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -5) + (-2 - 9). Let c = -7 - u. Let w = 0 + c. Solve 10 = -2*s - 4*v, w*s + 6 = 5*s - 4*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -44*w + 53. Let m(b) be the second derivative of -43*b**3\/6 + 27*b**2 + 7*b. Let p(u) = 5*m(u) - 6*z(u). What is the first derivative of p(f) wrt f?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -1, -5, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 3, q: 2, x: 5}. Give prob of sequence xxqq.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6043 is divided by 120?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiokoxm. Give prob of sequence km.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 12 = -3*x, -4 = -t + x. Is (15 - t) + 4\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*i + 806, 3*i = -0*i - 5*k + 610. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 861 + -8607\/10. Let t(h) be the second derivative of 8*h + 0*h**4 + 0*h**3 + 0 + 3\/2*h**2 + v*h**5. Differentiate t(z) wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -2 + 3 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 22012035 + 81723965. Round b to the nearest 100000.\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(112)*-6 + 0 + 1*-1*sqrt(112) + -1.\nAnswer: -1 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-6)\/(-10)*(-220)\/88). Solve -t*d - 11 = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12\/237809?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngynyyunygyvyvy. What is prob of sequence yu?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54603 and 3.\nAnswer: 54606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - 0) + 3 + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-810)\/207 - 6\/69. Let c be 20\/270*18*(-6)\/i. Solve -c*p - 6 = y, 0*p = -4*y + 4*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:02 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 4*s**2 - s**2)*(-2*s**2 - 2*s**2 + 2*s**2) - 8*s**2 - 27 + 27 + s**4.\nAnswer: 19*s**4 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + i - 8 = 0, i - 5*i + 17 = -3*y. What are the prime factors of ((-11)\/(-33))\/(y\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/120 - r**5\/60 - r**4\/12 - 2*r**3\/3 - 29*r**2 + 3. Determine q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 117.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from wkykgkeykwngew?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*q**2 + 153*q**2 - 315*q**2 - 449*q**2.\nAnswer: -748*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6) + (-3 - (-9)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*n - 132 = -6*k, 8 = -4*n. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 20736550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 11 = -2*m, -5*u = m + 8 + 1. What is the remainder when 62 is divided by (17 + 6)\/((1 + -2)\/u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6335)\/(-9050)*55\/(-3619)?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(112) + 1)**2)*1*-4.\nAnswer: 64*sqrt(7) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/14 in 0.4, 1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(255)\/(sqrt(25)\/sqrt(5)))\/(-4*sqrt(12)\/sqrt(4))*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1314121 + -2252?\nAnswer: -1320413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -8875910.\nAnswer: -8875900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 3 = 3*t + p, -4*p - 10 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5633 + -3970. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/94496 and -47\/7402?\nAnswer: 349729696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60449*g*h**2 - 45*g*h + g - 609*h wrt h.\nAnswer: 120898*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 1397836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -27, -88, -203, -390, -667?\n\"Answer: -3*t**3 - 4*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*j = 33, -5*v + 15 = j - 2*j. Calculate the common denominator of -47\/6 and (-1)\/v*(-10)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 + 162*o**3 - 1641*o**2 + 3744*o - 2268 = 0. What is o?\nAnswer: -63, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4 + 9802*c**3 - 109650*c**2 - 7802938*c - 61429472 = 0.\nAnswer: -4912, -13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 32, 34, 36?\n\"Answer: 2*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 365?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239205 is divided by 1282?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -570824 (base 12) in base 15?\nAnswer: -1c6ee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21ba + -17b?\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 - 6170*w + 1903445 = 0. Calculate w.\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(-1)*k)\/k*k))\/k)**(-4\/13))**(-30)*(k**(-1\/6)*(k*k*k\/(k\/(k\/k**7*k)))\/k)**30 assuming k is positive.\nAnswer: k**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 9*h**2 + 2 + 0 - 2*h. Suppose 0 = -2*r - 3 + 9. Is f(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l - 2*l)*(1497*l + 14392*l + 4314*l) + (-2*l + l + 3*l)*(-3*l + 2*l + 3*l) + 1 - 1 + l**2 to the form y + s*l**2 + x*l and give s.\nAnswer: -40401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5595 - 5594.7. What is the fourth biggest value in 8, v, -1\/3, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 26840449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/12 - 4*r**2. Let s(z) be the second derivative of 5*z**4\/4 - 6*z. Give l(s(q)).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5658576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 55.1. What is the third biggest value in 1\/3, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 + -7.63. Let i = x - -6.89766. Round i to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33046776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 43 - 16. Suppose -6*a + k*a - 15 = 0. Suppose 2*t + 16 = -2*t, -a*o - 3*t - 180012 = 0. Round o to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**7\/1260 + g**6\/720 + g**5\/60 - g**4\/12 - 9*g. Let j(k) be the third derivative of p(k). What is j(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 381\/2392 + -1\/184. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s**(1\/11) assuming s is positive.\nAnswer: s**(-65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650 = 223*a + 35*a - 2220 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + n + 2*n + (-6*n + 0*n - 5*n)*(1 + 0 + 1) - n - 2*n + 4*n)*(-1 - n + 1) as d*n + t*n**2 + g and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - -13 - 8)*(2280\/(-9))\/(-4). Which is greater: -378 or i?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5789459.\nAnswer: 13, 593, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62746, 125755, 189266, 253531, 318802, 385331?\n\"Answer: 42*h**3 - h**2 + 62718*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75773*r + 145 - 145 - 24816*r - 1 - r + 1 + (0*r - r + 3*r)*(-2 - 2 + 2) + 3*r - 5*r + r to z*r + w and give z.\nAnswer: -100595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 200 + -3?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let x = 21 + -19. Suppose s = x*h - 345 - 255. What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206\/27 - 1375\/54. Calculate the common denominator of -47\/22 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 12) to base 6.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8670 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87218 (base 14) in base 6?\nAnswer: -11001354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) -22 (c) -12177 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -4 + 1 + sqrt(162) - (5 + -1*(-5 + (sqrt(128)*1 - sqrt(128)))))**2.\nAnswer: -54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -57*k**2 + 5. Let v(z) = 58*z**2 + z - 6. Let b(t) = -4*a(t) - 3*v(t). What is the units digit of b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1474023\/5 - -293577. Let b = p - -1234. Factor -8\/5 + b*v - 14\/5*v**2.\nAnswer: -2*(v - 2)*(7*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Let h(x) = -34*x**2 - 5*x - 10. Let a(m) = -34*m**2 - 4*m - 8. Let f(n) = 5*a(n) - 4*h(n). What is r(f(o))?\nAnswer: -1156*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-1804))\/((-5)\/10). Let m = 23891\/1804 - t. Calculate the common denominator of 23\/11 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/6)*z**(-2\/9))**(-7))**(37\/5) assuming z is positive.\nAnswer: z**(-4403\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77926, 78156, 78388, 78628, 78882, 79156, 79456?\nAnswer: 79788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = w + 5*y - 19, 5*w + 2*y - 142 = 0. What is the first derivative of -6*g**4 - 29 - 6*g**4 - w - 5*g**4 wrt g?\nAnswer: -68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 102*u\/5 - 104\/5.\nAnswer: 2*(u - 1)*(u + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -11 - (-16 - 0) - (55 - 1)) + 4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2011 - -3876. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5864 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 151 (c) -3\/7 (d) -2\/169 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2331264 by 624.\nAnswer: -3736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 1. Let q be k(0). Let u be -2 - (q - 0 - 1). Suppose -2*o + 2*s = 7200002, u = 2*o + o - 4*s + 10800004. Round o to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 4*o**2 + 4*o - 1. Calculate f(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011084344 to 4 dps.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -961 - 3314?\nAnswer: -4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.758 rounded to one dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.233 and -405859.\nAnswer: -405858.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 500799161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*q + 3 - 2*q - 1 - 5 wrt q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and -2396.\nAnswer: -2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by 340\nAnswer: 127\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*q = -12, 2*p = -2*p + q - 1. Let n = p + 15. Calculate the remainder when 55 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -610280 to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 205379047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 8. Suppose 2*k + 44 = 4*h - 2*k, -5*h = -2*k - 58. What is the remainder when h is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 13 in ascending order.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 - 196. What is the closest to 2\/5 in l, -1, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1667, -2459, -3373, -4469, -5807, -7447, -9449?\n\"Answer: -10*y**3 - y**2 - 719*y - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-974)\/13149)\/(2\/(-783))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15259, -30827, -46395?\n\"Answer: -15568*p + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/18 and 23\/3513.\nAnswer: 21078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.43 - 28.53. What is the third smallest value in u, 1\/4, 0, 0.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 0.07, -2358, 1\/7 in ascending order.\nAnswer: -2358, 0, 0.07, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 0, 3 in decreasing order.\nAnswer: 73, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6 + 18*m**3 + 516*m**2?\nAnswer: -120*m**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**3 - 9*p**2 + 7*p + 10. Let d(n) = -n**2 + 18*n - 51. Let z be d(14). What is the units digit of c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -559.2921, -1\/5?\nAnswer: -559.2921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1509.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -76569*n - 8. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 290 + -163. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1b64?\nAnswer: 1b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -312\/7 - -44. Which is the nearest to 1? (a) -0.22 (b) 0.4 (c) -1\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 11*z + 6*z - 2760, 4*p - 5*z = 2207. Suppose -9*l + 10*l - p = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = d - 8, -3*d - 5*m - 16 = -50. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, 1 t, and 1 a when four letters picked without replacement from tdtqdddtatddddtdd.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*m + 40, 0 = -3*m + 3*u - 8*u + 34. Suppose 2*v - m*v - 2 = 0. Put 3, v, 5 in ascending order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 2*i**3 + 0*i**3)*(i + 0*i + i) - 33*i**4 - 3*i**4 + 2*i**4 - 1 + 1 - i**4.\nAnswer: -37*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2 + 585*s - 295750 = 0.\nAnswer: -910, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4883146 divided by -11\nAnswer: -4883146\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -376357 - -2?\nAnswer: -376355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b9 + 6199?\nAnswer: 6385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5827 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57.195 - 52.2. Let u = -5 + t. Round u to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*g**3 - 8*g**4 - 19*g**2 + 72 - 13*g**3 + 12*g**4 + 135*g**2 + 156*g = 0. What is g?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000034823 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201019917 and 9639?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126090973?\nAnswer: 19, 701, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {t: 1, p: 1, y: 1, k: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 6. Let h be s(-10). Suppose -h*q = x + 2 + 8, x + 6 = -3*q. What is the smallest common multiple of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -8 - (-590)\/198. Let u = -91\/396 + d. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -1\/255?\nAnswer: -1\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(2 - 0). What is the closest to o in 2, -3, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4643019 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2 - 1 + 1)*(3*i - 3*i - 3*i)*(-7*i + 5 - 5).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 5. Let x(g) = -g + 1. Let o be x(5). Let h(t) = -t - 4. Let m(i) = o*l(i) - 5*h(i). Let n(j) = j**3 - 5*j. Calculate -5*m(u) - n(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10639716 is divided by 425588.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 4*r**3\/3 + 2. Let m(k) = 86*k**2. Let t(z) = -2163*z**2. Let g(j) = 126*m(j) + 5*t(j). Give g(x(c)).\nAnswer: 336*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076764 less than -0.08?\nAnswer: -1076764.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*k + 43, 21 = -k + 5*q - 20. Let m = -9 - k. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6) + (-4)\/(32\/(-68))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -74?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 22 - (1560 + -1532).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 136 - (10860 + -10805)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7925.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167174712?\nAnswer: 2, 3, 41, 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150723 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:13 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3 and -1 + (-57)\/6 - (1 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(20*a + 280 - 280)*(-1 + 18 + 21) as r + s*a and give s.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2226195671?\nAnswer: 7, 61, 167, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyybkkykvvxbdyvvbbv. Give prob of picking 1 d, 1 b, and 1 y.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30599753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {u: 2, t: 3, r: 1, x: 2, k: 1, v: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075150?\nAnswer: 2, 5, 149, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*a**3 - 147*a**3 - 5 + 1 + (-8*a**3 - 9*a**2 + 9*a**2)*(2 - 1 - 2) in the form r*a + p*a**2 + k*a**3 + v and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 11*m**2 + 14*m - 23. Let h be (-4)\/(-10)*-21 - ((-99)\/(-15) + -6). What is r(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {n: 6, i: 1, s: 4, d: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 29. Which is the fourth biggest value? (a) 1 (b) 1\/5 (c) 2\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 + 66800*p**3 - 1111209550*p**2 - 145305030000*p - 4731603800625 = 0.\nAnswer: -65, 33465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5939721 - 6*k + 5939721.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281865257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/825 and 31\/72675?\nAnswer: 799425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - 67. Let x = 183 - s. Solve 0 = -2*i - 2*f + 4, -i - 5*f + x = 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 15*n + 42. Let t(v) = -v - 1. Let w(j) = -q(j) - 18*t(j). Let y be w(10). Solve -y*i + 8 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4061756 - 4?\nAnswer: -4061761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 865 + -51. List the prime factors of u.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 21. Let m = -14 + f. Differentiate -2*v - m*v**2 + 2*v + 8 - 2 wrt v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/21*(1 - 4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4. Let h(q) = q - 21. Let y(t) = -11*f(t) - 2*h(t). What is the remainder when 10 is divided by y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -20*p. Suppose p = 6*g - 159 - 339. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + (sqrt(5) - ((sqrt(5) - (5 + sqrt(125))) + sqrt(5)) - sqrt(5)) + 1 - (-3 + (sqrt(320) - (-2 + sqrt(320))))*-3) + 1)**2.\nAnswer: 72*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/552*60\/80?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + 2*v**3 + 4*v**3 + (-2*v**2 + 2*v**2 + 3*v**3)*(4 + 2 - 2) - v**3 - 4*v**3 - 5*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let z(l) = -188220434*l**2. Give z(c(d)).\nAnswer: -188220434*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-19))\/(((-147)\/(-14))\/(315\/(-90))).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 6. Let q(o) = 8*o + 8. Let v(h) = -3*h - 2. Let z(c) = -5*q(c) - 14*v(c). Let f(g) = 2*y(g) - z(g). Let s(a) = 89*a**2. Give s(f(k)).\nAnswer: 1424*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12756?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus -3588386264?\nAnswer: 3588386264.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14175)\/(-135))\/(-210))\/(((-154)\/20)\/11).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34981, -69965, -104949, -139933, -174917, -209901?\nAnswer: -244885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1613\/9 - 179. Let u = 0.046 + 2.554. Let s = u + -2.7. Sort -0.05, z, s in descending order.\nAnswer: z, -0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50347, -100676, -150969, -201208, -251375, -301452, -351421?\n\"Answer: 3*k**3 - 50350*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 72. Let s(g) = 3*g + 71. Let r(y) = -4*i(y) + 3*s(y). Let b be r(19). Let z = b - -235. List the prime factors of z.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50490863 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 42. Let u = -13 + c. Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m*m\/(m**4\/m*m*m))**44\/(((m*m**(2\/3)*m)\/m*m*m*m**(-6))\/((m*m**(-2\/11)*m*m)\/(m*m\/(m*(m**(-6)*m)\/m)))) assuming m is positive.\nAnswer: m**(-28015\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 + 4*p - 4. Let u(n) = -2*n**3 - 10*n**2 - 10*n + 10. Let r = 5 - 17. Let w(a) = r*t(a) - 5*u(a). Let w(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 - 201. What is the remainder when f is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3)*0\/1. Let c = 4 - i. What is the greatest common divisor of 36 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9150 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 9*i**2 - i**3 + 7*i**2 + 2*i**4 - 2*i.\nAnswer: 2*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63252.\nAnswer: 2, 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 13 - -45 - 21 - 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(204) - 2*(sqrt(204) + (1*sqrt(204) - sqrt(204)) + sqrt(204)))\/((2*sqrt(36))\/sqrt(3)) + 6*-4*(sqrt(425) + -1).\nAnswer: -243*sqrt(17)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3766969?\nAnswer: 3766969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p**2 - 5*p**2)*(-422*p + 422*p - 13*p**3).\nAnswer: 26*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117226, -117229, -117232, -117235?\n\"Answer: -3*g - 117223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209)\/(2563803\/(-174)) - (-404)\/(-8601)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, t: 1, l: 1, p: 2, u: 1}. Give prob of sequence pp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1823766855 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1214374*i**3 - 1058*i**2 - 1009?\nAnswer: 7286244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiugtiutggtugttgtg. Give prob of sequence tg.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 123873.812 to the nearest 100.\nAnswer: 123900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s - 30. Let n be o(4). Let y be (1 + -7)*n*(1 + -3). Suppose g = 5*r - 60, 2*r + 0*g = -5*g + y. What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3 + 5*n**3 + 3*n**2 - 6*n**3 + 7*n**2 - 2*n**2 - 6*n. Let y be d(7). What is the derivative of x**4 + 30 + 2*x**y - 50 + 26 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1424)\/96 - 1\/(-3)) + (-54)\/(-36).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 15. Let o(g) = -g**3 + 9*g**2 - 13*g - 27. Let c be o(7). Give v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042956 - 1.\nAnswer: -0.957044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 321457603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c - 27 - 467 = -94 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 7. Let q be 5 + -3 + (3 - 2). Let t be d(q). Suppose -3*r - 5*p + 180 = -t*p, -4*p - 40 = -r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107460268, -107460255, -107460228, -107460181, -107460108, -107460003?\n\"Answer: b**3 + b**2 + 3*b - 107460273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)\/(1 - 3). Let j(m) = m**2 - 15*m - 4. Let s be j(14). Let w(a) = 2*a + 34. Let y be w(s). Is y at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -2, 5 in descending order.\nAnswer: 5, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.042 + 14.982914065\nAnswer: 11.940914065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 22*h + 198. Give p(9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287969627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -18 + 8. Let x(b) = 2*b + 9. Is x(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 - 61074\/63)\/(2\/(-14)). Suppose 5*g = j + 993. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94999, 189987, 284965, 379933?\nAnswer: 474891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 224*w**3 - 2*w**2 + 2. Let g be t(1). Let k = g - 39. What is the remainder when k is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(17) - sqrt(17)*1*2) + -5 - sqrt(153)\/(sqrt(9) + (sqrt(9) - sqrt(144)*-3))) + -2.\nAnswer: -6 - 15*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -10299?\nAnswer: -102a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -57*l + 108. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 46. Let p be t(-7). Solve -p*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 15*h - 24. Calculate i(10).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p - 806. Let n be g(-67). Sort 6, -5, n, -1 in ascending order.\nAnswer: -5, n, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + (-5 - (-5 - -4)) - (34 - 130)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.72 + -5.3. Let v = -2.42 + j. Which is the closest to 1? (a) 5 (b) v (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -2 (b) -0.4 (c) -0.07 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.06, 0, -0.3, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16939, 16941, 16943, 16945?\nAnswer: 16947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 3\/1075, -0.5, 0.2, 115, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwuuajw. Give prob of picking 2 w and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3088, 8175, 13250, 18307, 23340, 28343, 33310?\n\"Answer: -l**3 + 5094*l - 2005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(2448) - sqrt(17)))**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 162 in decreasing order.\nAnswer: 162, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 8, -5, 1, 0.\nAnswer: -5, -3, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 286997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 53024 = 40*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-188)\/53)*(-18)\/(-54). Let v = -586\/371 - n. Is v at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21106768804\/427 - 49430424. Let s = t + -3\/61. Let m = -52 - s. Which is the biggest value? (a) 3 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -2 (b) 4 (c) 0.276 (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, 4*t - 3*h - 3244 = -h. Suppose 2*i + 3*i + 2*q - t = 0, -644 = -4*i - 4*q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60858 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 306714920 + -306715001.0000444. Let h = -81 - s. What is h rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.84749714 to two dps.\nAnswer: -16.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-2 - 1) + -5 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8870686, -17741327, -26611968?\nAnswer: -35482609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/12 - 8*o**3\/3 + 15*o**2 + 2*o + 430. What is x(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 5*k. Suppose 3*q + k = 10. Suppose 3*i = -2*i + 25. Sort q, -5, i in descending order.\nAnswer: i, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(605) - -5*(2 + sqrt(605)))*-5*-6.\nAnswer: 1500 + 9900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -5*a + 220, -5*a + 53 + 44 = 5*f - 48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Work out -6565.39 - -2.2.\nAnswer: -6563.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2763676083 - -40.88.\nAnswer: -2763676042.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-2\/3)\/l))\/l)**15*(l**1)**(-4\/21) assuming l is positive.\nAnswer: l**(206\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**2 + 4*x**2)*(1 - 1 + 2*x + (-5 + 9 - 10)*(-5*x + 4 - 4) + 4*x - 5*x + 0*x).\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 23 = 123. Let s = n + 271. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 4, 87, 47.\nAnswer: -5, -4, -3, 4, 47, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24345569 to the nearest integer?\nAnswer: 4934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -186. Let v = 80 - p. Let d = -36 - -30. Put -1, 1, d, v in increasing order.\nAnswer: d, v, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - i - 2 + ((1 - 5 + 2)*(-i + 0 + 0) + 2*i + 5*i - 6*i - i + 18*i + 12*i)*(-2 + 2 + 1).\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -609, -2320, -6957, -15984, -30865, -53064, -84045?\nAnswer: -125272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 1193 (c) -1\/60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 3224979*l**3 + 6449959*l**2\/2.\nAnswer: -l**2*(l - 1)*(l + 6449959)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-5)\/(-10)*-3. Let u be -3*2\/j - 9. Is 696\/20*(-25)\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = 0, -2*t + 3*t - 4*w = -24. Let d be (t\/8)\/(1\/(-4)). Let z(l) = -2*l + 2*l - 4*l + d*l. Let p(o) = o**2. What is p(z(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -3*n - 4\/3*n**3 - 5\/2*n**2 + 0 - 1\/12*n**4. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 7275.\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f9e0 - -55?\nAnswer: fa35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0 + 1\/12*a**4 + 0*a**2 + 48*a - 38\/3*a**3 + 0*a**5 + 1\/30*a**6. What is the second derivative of b(l) wrt l?\nAnswer: 12*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(13\/6)*n**32\/n*n**(-14\/9)\/((n\/(n*n*n\/n**(-4\/9)*n))\/n))**(2\/39) assuming n is positive.\nAnswer: n**(589\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105344533 - -254?\nAnswer: -105344235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*-1 + sqrt(70))*-5)\/(1*sqrt(10)*3) - (0 + (sqrt(77) - (sqrt(77) - sqrt(77)*-2))\/sqrt(11) + 2))*-2.\nAnswer: -4*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 6*l**2 - l + 1. Calculate the smallest common multiple of j(-6) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 5*o**2 - o - 5. Let s be u(4). Let d be (3\/(-2))\/((-1)\/(-18)*3). Let w be (-3)\/d*(0 + 45). Calculate the highest common divisor of w and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + -0.83. Let m = -0.02 + s. What is m rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -436\/19, 3, -5, -832?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -26) + -17 + 16 + 0 + 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.3 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 813*f - 817*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -3ab52b50?\nAnswer: -3ab52b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose 8*v = 80 + 576. Suppose -17*f + v + 20 = 0. Solve h*u + f + 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f + 2. Is 27 a factor of v(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 8 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13849 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0 - y + 4 + y**3 - 2 - 4. Let d be l(0). Let x(s) = -s**3 + 2*s**2 + 3*s + 2. Let r be x(3). Put d, 0, r in decreasing order.\nAnswer: r, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqff when four letters picked without replacement from {c: 6, q: 2, x: 6, f: 4}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {x: 5, c: 1, v: 4, n: 6}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -70573 < 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 42*j + 3. Let y be g(3). Let b = y - -21. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z + 12987 = 40*z + u, 0 = -4*z - 5*u + 12983. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10312234240 + -3?\nAnswer: 10312234232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7707 or 7004?\nAnswer: 7004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (3 + -9)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79264 and 1112173.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(320) + 1)**2 + -1.\nAnswer: 16*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + 134*m + 122. Let h be w(-29). Let b(i) = 53*i - 4. Let v be b(6). Let r = v + h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 5*i - 3. Let a(m) = -m + 2. Let y(f) = -3*a(f) + j(f). Factor y(k).\nAnswer: (k - 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*-6)\/(2*sqrt(1728)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 85 = 65. What is the common denominator of 56\/9 and 128\/q - 14\/21?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + -313?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 7 - 15. Let z(o) = o**2 + 6. Let y(w) = -2*w**2 - 11. Let m(n) = l*z(n) - 6*y(n). Let s(k) = 0 + 0 - 3*k**2. What is s(m(f))?\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 28 = 4*q - o, 3*q + 2*o = 1. Suppose 225 = 3*v - q*j, -2*j + 0 = -2. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 436 = -3*u, -11*u - 2*p + 164 = -12*u. Which is smaller: -2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-119))\/((-90)\/255)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*s - 56, -31 = 2*y - 4*y + 3*s. Let d = -702692 - -702695. Solve -y = -d*u + 3*c + 4, -2*c - 10 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/(-10904)*-141)\/(-2*1\/(-200))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4563\/7 or 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -0.6, 0, 25\/2544, -9\/2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 61\/3. What is the nearest to -0.3 in -2\/11, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 46, 63, 62, 37, -18, -109?\n\"Answer: -h**3 + 36*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00083043 rounded to six dps?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*a + 2 + 36, -5*p = -5*a + 65. Let i be (2 - p\/(-5))*(-315)\/(-462). Is -1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -651*o**2 - 5806*o - 5433*o + 8778*o wrt o?\nAnswer: -1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*y - 23. Suppose -1 = y*c - 51. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 10*m**3 - 4*m**3 + 2*m**2 - 2*m**3 - 2*m**3 + 6*m**3 + (-5*m + 5*m - 2*m**2)*(4*m + 0*m - 2*m) - 2*m**3 - 3*m**3 + 6*m**3.\nAnswer: 5*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180)\/sqrt(4))\/(sqrt(729) - 1*sqrt(729) - sqrt(729))*5.\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142580 and -170.\nAnswer: 24238600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose d*w + f = -63 + 205, 0 = -4*w + f + 187. Suppose 2*a - 31 = -p, -56 = -2*p - 2*a - 0*a. Calculate the remainder when w is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 7*r + 5. Suppose -r*h - 10 = 2*y, -2*y + 2*h - 27 = -3. What is y rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-581 + -8 + -6)\/((-6)\/21). Let u = k + -2078. Let 39\/2*p**2 + 9\/2 - u*p**3 - 39\/2*p = 0. Calculate p.\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q + 23*q - 44*q + 2*q + 5*q. Let v(n) = -7*n + 6 - 6. Calculate b(v(u)).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100010100011100111 (base 2) to base 6\nAnswer: 3011143","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 803*j - 774*j - 4*j**2 + j**3 + 13*j**2 + 16*j**2 + 57. Is o(-23) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 732598 - -3b?\nAnswer: 732617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261460.7g to kilograms.\nAnswer: 261.4607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 11*j + 3458 = 0. List the prime factors of j.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 26 = 4, 2*s = -5*h + 136. Which is bigger: 115 or h?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*g - 179*g - 1440 = 150*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**3 + 13*v**2 + 9*v + 5. Calculate o(-5).\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-110))\/(468\/104)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 4*o**2 - 8*o + 15. Let i be c(3). Solve i = 3*n + 7 + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)\/f)**10 assuming f is positive.\nAnswer: f**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i + 3. What is l(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*o - 6*b + 48 = 0, 2*o - 5*o - 5*b = -28 - 24 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q. Let r be u(0). Suppose -1133 = -v - r*v. Suppose 4*p + 142 = -2*j + 904, 0 = 3*j + 4*p - v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40631 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 59 + 27)*(927*o**2 - 76*o + 76*o).\nAnswer: 28737*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r - 12. Suppose -4*f - 2*u = f + 141, 0 = -5*f - 4*u - 147. Let i = r - f. Solve 6*k - 3*k = i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 8. What is the nearest to 0.2 in q, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302420241 (base 5) to base 10\nAnswer: 5123196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.642005774 - 2.642. Round r to 7 dps.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-13))\/u)\/(u\/(u*u**(-2)*u*u)))\/((u*u**4*u)\/((u\/u**(-6\/17))\/u)) assuming u is positive.\nAnswer: u**(-317\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-6))\/(245\/(-231) + 1). Let t = -8 + 19. Calculate the greatest common factor of t and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.29 times -5?\nAnswer: -16.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -11 + (-1 - -1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4 - 15 - 1 - 14*k. Suppose 0 = -g - 2. Let v(y) = -3*y - 4. Let x(w) = g*p(w) + 11*v(w). Let s(n) = -n - 1. Calculate 3*s(u) - x(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 3*v**2 - 591*v - 3425. Give d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61566893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4744 + 2799*i - 4698 + 9442 + 39*i**2 - 2799*i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2 or -6?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 7*b - 3*b)*(-15 - 1 - 24)*(-1 + 0 + 4).\nAnswer: -480*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14 - 23*d + 10*d + 10*d. Give b(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(88)\/sqrt(176) - sqrt(8) - sqrt(8)).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 0.1, -0.3, -1\/4, -364.\nAnswer: -364, -3, -0.3, -1\/4, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -526 + 2*b + 526. Let n(y) be the first derivative of -y**3\/2 - y - 2. Let x(w) be the first derivative of n(w). Give x(i(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, -0.2, 0.273, 1\/4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 9*f - 8. Let h be d(-6). Let y(l) = -l + 22. Let k be y(h). Suppose -3*b = 3*g + 2*b - k, -2*b = 0. Solve -9*x + g*x = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266 + 306. Solve 39*j - m*j = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 174 + 69 = 0. Calculate the lowest common multiple of 15 and (-27 - 0)\/(u\/(-35)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 5 (b) -21.13 (c) 0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3892*c**4 + 267*c**3 - 6*c**2 + 21010559*c.\nAnswer: 46704*c**2 + 1602*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 11 + 77. Let a be 64\/(-5) - 3\/15. Let f = a - s. Calculate the lowest common multiple of 8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 - ((-14)\/(-4) - (-1)\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (26\/(-6) - -5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.14786 - 0.14786. What is the closest to 37\/4 in -5, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -34 - 21*u + 56*u + 14 + 12 - 31*u. Give m(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200168 and 27.\nAnswer: 3600504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdfhhvmvfmmxfmd. What is prob of sequence dxm?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.543261 meters to kilometers.\nAnswer: 0.005543261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327027 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d**2 + 1961*d - 10. Let w(h) = 26*h**2 + 2941*h - 16. Calculate -8*l(g) + 5*w(g).\nAnswer: 2*g**2 - 983*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -209, -250, -267, -254, -205, -114?\n\"Answer: i**3 + 3*i**2 - 75*i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173863 and -2.\nAnswer: 347726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9748515137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -17 + -2 + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 2 + sqrt(125) - ((sqrt(125) - (sqrt(125)*-3 + -3)) + 5))**2.\nAnswer: -30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9230640 times 3\nAnswer: 27691920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 12:07 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(187) + sqrt(187)*2*3 + sqrt(187))\/((1*sqrt(99))\/sqrt(9)*-3).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 248, 384, 536, 710, 912, 1148, 1424?\nAnswer: 1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133178?\nAnswer: 2, 3, 188863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618663840 by 123732768.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*x - 24, -q + 4 = -4*q + x. Let f(v) = 3*v**2 - 2*v + 2. What are the prime factors of f(q)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-10 - -35) + -7 - -2 - (28 + 76)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*p + 17*i*q**2 + 3*i*q - 6*i + 9*p*q**3 - 10*p*q**2 + 2*p*q - 1 wrt q.\nAnswer: 34*i + 54*p*q - 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 0, 4 = -2*b + 3*b - 4*n. Suppose -20 = w + b*w. Is 3 a factor of (w\/7)\/(2\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5))**(5\/14)\/(j\/(j*j\/j**(1\/10))*j*(j*j**6*j*j)\/j))**(-5\/11) assuming j is positive.\nAnswer: j**(276\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -65. Suppose 2*s - j*b = 52, -2*b + 4*b - 165 = -5*s. Calculate the remainder when 59 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3105\/17 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 15*o - 9. Determine y(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/98398 and -36\/4772303?\nAnswer: 9544606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 787 - 786. Let y = -162892\/43 - -3788. Do l and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5))\/(k**(-2\/5)\/k))**24*((k\/(k*k**(-1\/7))*k)\/(k*k\/(k**(2\/3)*k)))**(-3\/13) assuming k is positive.\nAnswer: k**(80723\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 less than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2192\/7 + -312. What is the common denominator of -19\/154 and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 12770664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16078844.4 take away -306?\nAnswer: 16079150.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 3*h - 5. Let q be o(5). Let a be 1*12\/(-15)*q. Let i(x) = -x**3 - 5*x**2 - 6*x - 2. What is i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5 - 3*n**2 + n**2 + 0*n**2 + 13*n + 4*n**2. Let y be s(-7). Which is the biggest value? (a) y (b) 0.03 (c) -0.3 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000000 - -110?\nAnswer: -10010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*u + 4 = -3*k, -2*u - 16 = -2*k. Suppose -5*c + 3*i - k*i + 4365 = 0, -4*c = 3*i - 3492. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose -4*y + s + 13 = 0, -5*y - s = -2*s - 17. Suppose -i*k + y*k - 108 = 0. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 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: Which is smaller: 707 or 706?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*y**3 + d**3*y + 2735*d**2*y - 709472*d*y**3 + 518*y**2 wrt y?\nAnswer: -12*d**3 - 4256832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-2\/7)*(o*o**(1\/4)\/o)\/o**(-2\/9) assuming o is positive.\nAnswer: o**(451\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164305528733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1128 = 16*m. Calculate the remainder when m is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -654 by 6.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -19?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 - f + 17. Let m(d) = 2*d**2. Determine -4*m(a) - q(a).\nAnswer: -a**2 + a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -5 - 17*-46.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167 + 1012. Suppose -10*k = -3735 + d. Calculate the highest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, a: 2, n: 1, x: 2, f: 3}. What is prob of picking 1 n and 2 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + d)*(6*d**2 - d**2 - d**2) + 5*d**3 - 2*d**3 - 4*d**3 + 4*d - 4*d - 2 - 12*d**3.\nAnswer: -17*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 295*h*i*r**2 - i + 115*r**2 with respect to h.\nAnswer: 295*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {g: 1, c: 2, f: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 26 = -8*z. Let i be 4\/3 + 2\/(-6). Let w = 3 + i. Solve -z = -w*f - f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101877*i - 101843*i - 42223546 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33510280 from -0.01.\nAnswer: -33510280.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 3*h - 2*h)*(12*h - 15 + 15) + 1 - 2*h**2 - 1 in the form g + x*h + c*h**2 and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (49\/7 + -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 727808174*w - 19323785 wrt w.\nAnswer: 727808174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4 - 265*h**3 - 10 - 11 + 26 + h + h**2. Let o be x(-1). Suppose 4*t = 11*t - o. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.002*23\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -43\/2. Let w = -0.1 + -0.1. Let l = 0.8 - w. What is the closest to -2\/5 in -2, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by (-22032)\/(-1564) + 4\/(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/3 + 23198*c\/3 - 15468 = 0 for c.\nAnswer: -11601, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let h = -5 + 33. Suppose 7*q - h = 5*q. Let d(t) = -18*t - 12*t - q + 28*t. Determine d(r(j)).\nAnswer: -2*j - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 9)*(-h + 0*h + 2*h) + 0*h - 2 + 5 + h.\nAnswer: -13*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4731\/460 - -171\/23. Calculate the common denominator of v and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 221*m + 213*m + 249*m + 215*m - 898*m. Let j(y) be the third derivative of -31*y**5\/15 + y**2. Give c(j(s)).\nAnswer: -46128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/36296348 and 95\/32582.\nAnswer: 36296348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10950 divided by 150.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-91) + 164\/52. Solve -q*n + 4*d = 20, -2*n - 2*n - 14 = d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -169, -13, 9 in increasing order.\nAnswer: -169, -13, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 20?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -277145*x - 55. Let f be j(-21). Suppose 1716466 = 2*u - 5*v + 13356456, -5*v + f = -u. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 10:15 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236\/18*(-4 - (-38)\/2) a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-369)\/45 - -7)\/(((-288)\/(-260))\/24).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 285*d + 100. Let m(q) = 142*q + 43. What is -7*m(a) + 3*y(a)?\nAnswer: -139*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f**2 - 4*f. Let d be b(4). Solve -v - 19 = -0*p - 4*p, d = 3*p - 5*v - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (4 + -3 - (-34 - -48)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 - 5*k**2 + (2*k - 3 + 3)*(-2*k + 3*k + 0*k) + 2*k**2 + 0*k**2 - 8*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - 43?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 11) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y + 16*y + 8*y - 24*y. Let b(d) = -11*d. Give p(b(o)).\nAnswer: -121*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - -8. Suppose -3*a + m + 3 = 0. Suppose -a = -y - 0*y. What is the remainder when 29 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*w + 1. Let g(n) = -w*n + 0*n + 2*n + 2*n. Let m(h) be the second derivative of h**4\/6 + h. Determine m(g(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(22 - 274)*(-4)\/5?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31177347 divided by 1\nAnswer: 31177347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:35 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1239 - 2477\/2. Which is the nearest to -0.1? (a) -1\/53 (b) -1\/5 (c) r (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l + 7. Let n(v) = -v**2 - 2*v + 7. What is the lowest common multiple of n(-3) and g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 66827?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321.5 + 321. What is the third biggest value in 0.1, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*g**4 - 48*g + 48*g + (24*g**3 + 250*g - 250*g)*(0*g - 2*g + g).\nAnswer: -41*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 30 = -3*b + 8*v + 4, 6*v = -5*b + v + 35 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, f: 3}. Give prob of sequence af.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let d = -1.937 - -0.037. Let z = 1.7 + d. What is the second smallest value in z, 11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*z - 2*q, 3*q - 5*q = z + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3. Let a(n) = 3*n**2 - n + 10. Let k be 3\/9 + (-22)\/(-6). Suppose -1 = -k*s - 9. Give s*a(y) + 7*q(y).\nAnswer: y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285.39991641 - -285.4. Round g to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*r = -3, 4 = -3*r + 1. Let w(n) = -241*n - 477. Let a be w(-2). Solve a*u = l*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/(5640\/90)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4\/7)*y**2*y**3*y**(-1\/3)*y assuming y is positive.\nAnswer: y**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/(-63)*(-140)\/200.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c + 2538 = 120*c + 3*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 53. Solve -n - 2*m + 5*m = 18, -3 = -j*n - 3*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by -14.\nAnswer: 132\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 9.1 (c) 2\/3 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -110936*l - 1109488. Calculate u(-10).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 10*a - 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -33*w. Let p(b) = 4*b**2 - 2. Let r(f) = 1. Let z(v) = -p(v) - 2*r(v). Give z(x(t)).\nAnswer: -4356*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-605)\/484*3\/(-10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/52*-4*(-39)\/(-182)*7.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f - 2*l = -186, 3*f - l - 544 = 0. Let u = 29 - 3. Calculate the highest common factor of u and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = -13. Let r(u) = -u - 6*u + g*u + 2*u. Let d be r(-6). Let j(i) = -i**2 + 6*i + 1. Calculate j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1038 - 8795?\nAnswer: -7757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 288, 629, 1096, 1683, 2384?\nAnswer: 3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*y + 32 + 120. Which is the closest to y? (a) 0.4 (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -111540611?\nAnswer: 111540630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 500*y**4 - 51267*y - 11737685.\nAnswer: 2000*y**3 - 51267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 16. Let v be q\/(-8) - (-26)\/4. Suppose 5*r - v*r = 30. Put -5, 4, r in ascending order.\nAnswer: r, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 4*v. Let j = 9 + -13. Is o(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-15) - 2996\/7490?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5224 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48215718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d**2 + d + 1. Suppose l + 5 = 5*v, -l = 2*l + 2*v - 2. Suppose -4*t = -2*y - 14, l*y + 7 = 2*y + 3*t. What is the units digit of j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126198 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/54)\/((-4)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6973 a factor of 192439650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 22*s + 128. Let h(j) = -j**2 - 12*j + 1. Let n be h(-10). Is 28 a factor of v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 30 = p. Solve p = w - 2*d, -w - 2*w - 5*d - 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (9 + 10 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -79. Solve -8*c + 5*c - 5*t = o, -t + 4 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2860628148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0*b = 4*b, 5*r - 12 = -b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 29*x**2 - 3*x + 2. Suppose -9*s = -11 + 2. Let d be z(s). What is the units digit of 2 - (-3 - d - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1511 + 2178. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 601 = -160 + 210. Suppose 3*t = 3*w + 183, -t - w + 61 = 10. Calculate the remainder when t is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 27\/2*h**3 + 3\/8*h**5 - 9\/2*h**4 - 12*h**2 + 0*h.\nAnswer: 3*h**2*(h - 8)*(h - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 300 - 300 + 161*k**4 + (-2*k**2 - k**2 + 6*k**2)*(-4*k**2 - k**2 + 2*k**2).\nAnswer: 152*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h + 12504 = 0. Suppose -4*t + h = 4*l, -3*t + 3126 = -0*t + 4*l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 1694674.\nAnswer: 16946.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 3817466*k**2 - 1908832*k**2 - 1908634*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*i**2 - 9\/4 + 3\/2*i.\nAnswer: -(i - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10*-5*2. Let w be 8\/1 + (-36 - -27). Put 5, k, w in decreasing order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*l + x, 8*l - 31*l - 5*x - 25 = -13*l - 10*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-15) + 116\/30. Suppose 3*a = m + 3, -p*a + 12 = 5*m - 11. Factor x**m - 8*x**2 + 4*x**4 - 20*x + x**5 + x**5 - x**5 - 8 - 6*x**2.\nAnswer: (x - 2)*(x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 6. Let m be t(6). Suppose 4*x + 0*x + j - 70 = m, j - 36 = -2*x. Let b = x + -5. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 303*q**2 - 63*q + 181. Is a(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((64 - (36 + -6)) + -39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*6*(-1 + 2 + (sqrt(300) - (1 + sqrt(300) - sqrt(300))) + 2) + -5)**2.\nAnswer: 55440*sqrt(3) + 394729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3a4 (base 13) in base 8?\nAnswer: -54123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 8*g + n + 12, -4 = 5*g - 4*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 - 2*h**2 + 14*h - 3. Let w be x(10). Let k = -2156 - w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 10570.\nAnswer: 10572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 23. Determine j(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 432 = y. Let i be 1882*4\/(y\/(-1569)). Let m = -27333 - i. Find the common denominator of 41\/8 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.495 and 41.4.\nAnswer: 40.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(3)*-4))\/(sqrt(10) + (sqrt(250) - (sqrt(250) - 4*sqrt(250))))*-1*1*4)**2.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8750563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = -5. Let k(c) = -15*c - 2*c**2 - 6*c**2 - 8*c**2 - c**3 - 24 - 35*c. Let w be k(-12). Are m and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/36? (a) -242 (b) 0.08 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/10)\/(6\/15). Let y(v) = -v**2 + 4*v + 1. Let s be y(q). Find the second derivative of -3*t - 2*t**s - t**4 + 2*t wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 343227 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319328178.\nAnswer: 2, 31, 239, 156521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2521 = 51*h - 52*h, -s + 843 = -h. Let x = s + -527. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5\/4)\/q)**(-6\/23))**26 assuming q is positive.\nAnswer: q**(351\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.19, 0.3, 5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1454797*0.8\nAnswer: -1163837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34905475 is divided by 332433?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, o: 7}. Give prob of sequence vv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -2, -1624\/123 in increasing order.\nAnswer: -1624\/123, -2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 5. Suppose -3*b = 0, -3*n + y = -b - 2*b. Find the second derivative of 6*x**5 + 5*x**5 - 7*x - 6*x**n wrt x.\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/64 - 211\/576. Suppose 0 = -0*z - 4*z - 16. Let i be ((-2)\/(-8))\/((-1)\/z - 2). What is the closest to -2\/5 in -1\/3, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 2. Let r be (-56)\/(-10) + 6\/(-10). Suppose 0 = r*q - 41 - 19. Calculate the least common multiple of a(-4) and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - g**2 - 1 + 6*g**2 + g**2 to the form r*g**2 + v*g + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(24)\/sqrt(3) + ((sqrt(88) + -3*sqrt(88) - sqrt(88)) + sqrt(88) - sqrt(88))\/sqrt(11))\/(6*sqrt(36)\/(-1*sqrt(9))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2290 = -2*c, 4*c + 2858 = -26*n + 31*n. Let y = n + -258. Calculate the remainder when y is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + 4 + (4 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:48 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32524194403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -1.5, -0.84?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 234*u = -24*u - 368. Solve -168 = -u*k - 160 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-118)\/(-4))\/(636\/2968*(-42)\/18)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1 = -v, -11*v - j = -14*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) + 37\/(-22). Let o = -1.999 - 0.001. Which is the second biggest value? (a) o (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from aaaaaezaazzaazzu.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 320113 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 6*c - 134. Let x be t(11). Let u = x - -436. Sort 3, 17, 4, u in descending order.\nAnswer: 17, u, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = b + 1 - 0, -3*a - 4 = -2*b. Suppose -x + 134 = 5*o + 23, b*o - 112 = -2*x. Is (o\/(-33))\/(4\/(-330)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.97 - -25.9. What is the third smallest value in -5, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -76. What is the common denominator of d - -4 - (4 - 54\/(-48)) and (-70)\/8*(-6)\/100?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4321\/91 - -621\/13. What is the biggest value in n, -2, -23.09?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 2*c**2 - 2*c**2 + (-2 + 0 + 0)*(-8*c**2 + 3*c**2 + 3*c**2) + (-9*c**2 + 22*c**2 + 5*c**2)*(-2 - 3 + 2).\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17766514971 + 0.2?\nAnswer: 17766514971.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*s + 176, 8*s - 113 = -2*v + 5*s. Suppose 0 = c + h + h - 10, -2*h = 5*c - v. What is the highest common factor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9)*0 - 6. Let s(v) = v**3 + 7*v**2 + 5*v + 2. What is the units digit of s(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48404474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -20*y - 466. Determine i(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12*-26886\nAnswer: -322632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 5:18 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-2 - sqrt(68))*2 + sqrt(68) + (sqrt(68) - (-6*2*sqrt(68) + sqrt(68))))\/(sqrt(4) + sqrt(4) + (sqrt(80)\/sqrt(2))\/sqrt(10) - sqrt(64)*1))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from xxpppppxppppxppxppp?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:57 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**2\/7 - 1172*i\/7 - 56.\nAnswer: 4*(i - 98)*(3*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*t + 240 = -75, 0 = -91*w - 92*w - 5*t + 437 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8469605 and 26?\nAnswer: 8469631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.55 from -291.265.\nAnswer: -292.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13 and -0.082359.\nAnswer: 0.047641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666450 is divided by 6695?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1782, 0, -2, 464 in descending order.\nAnswer: 464, 5, 0, -2, -1782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 26*r**2 + 122*r - 178. Calculate the remainder when m(24) is divided by 512.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -2\/7 (c) -5 (d) 60 (e) -8007\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = -20210*l + 20265*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162404 divided by 4.\nAnswer: -40601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -575091936.9527 take away -0.06?\nAnswer: -575091936.8927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.047 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5164 - -47770\/9. Suppose 2*g + z = 285, 0 = -g + z - 6*z + 138. Let w = g - n. Do w and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -58, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12850, -51427, -115714, -205705, -321394, -462775, -629842, -822589?\n\"Answer: c**3 - 12861*c**2 - c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*r + 441792 = 238*r. What are the prime factors of r?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 23. Let p(g) = g**2 - g. Let r be p(1). Let d(o) = o**2 + o + 8. Calculate the remainder when l is divided by d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 17. Suppose -2*i = -o*i. Solve i = -3*k + 18 - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 107?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*g - 11*g - 13*g + 27*g)*(-2*g + 0*g - 4*g).\nAnswer: -174*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1463?\nAnswer: -4\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304)\/19000*-125*53?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000241233789 to seven decimal places.\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17*f. Let u(g) = 52*g. What is -16*i(d) - 5*u(d)?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/12)\/(63\/504).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7183606.\nAnswer: 2, 67, 53609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2*(-2)\/(-3))\/(-26 - -28). Which is the nearest to u? (a) 3\/5 (b) -2.8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(10)\/sqrt(2)*-2 + 1 + sqrt(5) + 1 + -1)**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 8. Let k be j(-1). Solve -1 + k = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 545? (a) -5 (b) 3 (c) 29623\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 43539986 and 43539984 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a - q - 96, -5*a - 250 = 5*q. Let b(j) = 2*j - 51. Let w be b(0). Let z = a - w. Solve 7 + 3 = z*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 315*i - 290*i + 0.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d = -2. Suppose -d*i + 172 = -0*i. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*k**3*p - j**3*k*p + 19*j**2*k**2 + j*k**2*p - 480171*k**3*p - 228*k**2 + 10*p wrt k.\nAnswer: 6*j**3*p - 2881026*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221021012222 - 2?\nAnswer: -1221021020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 120 = 5*a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-7\/3))\/p*p**3*p)**(-46))**(-1\/5) assuming p is positive.\nAnswer: p**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3572? (a) 4 (b) -3.3 (c) 0 (d) -0.3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3055\/26)\/47)\/((-20)\/312).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 2*z - 291. Determine h(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(1573) + 0 + sqrt(1573)) + -3 + 1 + sqrt(1573))**2*5 + -5.\nAnswer: -6050*sqrt(13) + 951785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110000010011 (base 2) in base 4?\nAnswer: 12300103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -5 (c) 5 (d) -49\/62 (e) 4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11646 - 83*v - 11646 in the form o*v + w and give o.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 7*d + 3*d**3 - d**2 + 4*d**2 + 4 + 2*d**2. What is z(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*m + 5*i - 0 - 28, -3*m + 157*i = 160*i - 48 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121327*p**2 - 364146*p**2 + 121498*p**2 + 121317*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 715298388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1697514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42464?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 953012\/335 or 2844?\nAnswer: 2844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-40)*32*105\/672*28\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - q**3 + 2846*q**2 + 6*q**3 - 2.\nAnswer: 3*q**3 + 2846*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:40 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -115.916+-0.1208663\nAnswer: -116.0368663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3740103 is divided by 650?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183 (base 13) to base 14.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(4*d**4 + 0*d**4 - 3*d**4) + 0*d**4 + 2*d**4 - 3*d**4)*(-4*d - d + 4*d + (-4*d - d + 3*d)*(-2 + 3 - 3) - d - 1 + 1).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d - 58. Let u(p) = 668*p + 4017. Let a be u(-6). What is i(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262870 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015888436 to 6 decimal places.\nAnswer: -0.001589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*i - 18, -191*j - 3 = i - 192*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -18720?\nAnswer: 18719.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(1698\/(-5943))*(-2 + -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/(-876)*(-3)\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*n - 1, 5*z - 5*n - 1 = -11. Let m(j) = 2*j + 7 + 2*j**2 + 5*j - j**2. What is the units digit of m(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21466056 and 537?\nAnswer: 3842424024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-57) + (-160)\/(-76). Let n be t\/(13\/(-52) - 62\/(-232)). Do 115 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscc when four letters picked without replacement from sssccssssssss.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119027456 divided by 62168192?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/12, -2631 in descending order.\nAnswer: -1\/12, -1\/2, -2631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2*(-3)\/(-66))\/((-4)\/(-190)) and 107\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 46 = 5*t, -4*t - 28 = -4*y. Suppose 3*b - y = -3. Let r(p) = -p - 1 - p**b + 0*p + 2*p. Let n(u) = -4*u**2 + 3*u - 4. Give n(s) - 3*r(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 22. Let q be n(16). Let h be -18*((-18)\/q)\/(4\/(-10)). Let s = h + -45. Find the common denominator of -47\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293015850 minus -4?\nAnswer: -293015846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1989 (base 12) in base 3?\nAnswer: -11021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let l(z) be the first derivative of -1 + 0*z**2 - 2\/3*z**3 + q*z. Factor l(x).\nAnswer: -2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-74 + -2)*1)\/(-2). Calculate the greatest common factor of h and 380.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 157894*c - 315784.\nAnswer: -(c - 157892)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9978 or 109763\/11?\nAnswer: 109763\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 298.347 millennia?\nAnswer: 2983.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h + 4*h)*(10 - 11*h**4 - 10 + (h - h - h**3)*(-3*h - 5 + 5)).\nAnswer: -48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*158\/6*3. Let d = 241\/3 - n. Which is the closest to -0.1? (a) 4 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -51*u**3 - 3*u**2 - 4*u - 32. Let l(z) = -z**3 - z**2 - 2*z - 8. What is c(r) - 4*l(r)?\nAnswer: -47*r**3 + r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -35, -0.2, 3\/8?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssseessssssss. What is prob of picking 2 e and 1 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/8677 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20\/12*98373\/14905\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 774688 <= 4.74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40926398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**10\/5040 + w**6\/180 + w**3 - 2. Let v(s) be the third derivative of b(s). What is the third derivative of v(h) wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2680)\/3)\/8*120000\/2. Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200704.9 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose 0 = n - 5*n - x + 14, k*x = 4. Suppose 0*z - n*z + 6 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007952 to 5 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 4*k - 19. Let l be (-20 + 2)\/(8\/4). Let t be n(l). What is the highest common divisor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 + 55*s + 10. Let k be d(-6). Let z = 23 - 57. Let m be (-1)\/4 - z\/8. Solve l + 4*v - m = 0, -v = -2*l + k*v - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6140?\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 21 = 0, 6*o + 2*o + 4*h - 12 = 0. Let f be (-4)\/(-3)*6\/2. Suppose f*l = -o*m + 2*m + 53, -5*m = -l - 4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6401160 and 8961624.\nAnswer: 44808120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -201780 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30)*((-15)\/(-4))\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 82210.41um?\nAnswer: 8.221041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 93.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + 3*b - 3. Let l be n(2). Let q = -27 + 29. What is the biggest value in 3, l, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Let r be (1 - 1)\/(m*1). Suppose t + t = r, -2*n = -2*t + 4. Is 0.2 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1294927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 108 = 4*m + 4*p, -4*m + p - 108 = 0. Let c be ((-36)\/m)\/(4\/54). Let s be (c\/(-15))\/((-244)\/10). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -177290 from -1.761.\nAnswer: 177288.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = n + 3*m, 3*n + 3*m - 70 = -2*m. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002 (base 3) in base 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 6. Let o(y) = -y**2 + 2*y + 2. Let g(p) = -6*o(p) - 2*q(p). Let n(u) = 30*u. Determine g(n(m)).\nAnswer: 5400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 - 3 = -2*c, 3*o = 4*c + 17. Find the third derivative of 3*r**2 + 2*r**3 + 0*r**3 - 4*r**o wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**2\/2 - p. Let k(b) = -4 + 7*b**2 - 6*b**2 - 3*b**2 - 2*b. Let v = 3 - 5. Calculate v*f(s) + k(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 615\/140 + -4 - 1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 + 2*m + 4. Calculate the remainder when a(2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 + -0.1. Let y = 4.88 - -0.12. Which is the third biggest value? (a) x (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(51\/(-85)*10\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 974057.\nAnswer: 2\/974057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mntnnwmmbtntwtttwtw. Give prob of picking 1 t and 3 m.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v - 0*v. Suppose -c + 2*b = 0, -5*c - v + 23 = b. Find the second derivative of 2*a - 3*a**4 - c*a + 4*a wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57132 = -1202*a + 262*a + 12428 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253a351 - -4?\nAnswer: 253a355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*x + 795873*b**3 + 4*b**2*x + 52726*b**2 + 12*x wrt b?\nAnswer: 18*x + 4775238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -12. Suppose f + 0 = -3, -7 = -q - 3*f. Let r(p) = -p**3 + 27 - q + p - p**2 - 16. Give r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 10 = 14. Let r be 2\/(-1)*(a + (-36)\/(-8)). Let d(w) = -2*w + 3. What is d(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9527 - 571723\/60. What is the common denominator of 11\/4 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.1, 0, -95, -15, -2\/5 in decreasing order.\nAnswer: 0, -0.08, -0.1, -2\/5, -15, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 150*h**2 - h - 1. What is x(-1)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*d. Suppose -5*n - 3*z + 280 = d, -n - 3*z = 3*n - 224. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/7 (b) 3 (c) -5 (d) -10\/9 (e) 5703.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -67136602 divided by -26\nAnswer: 2582177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1738 and 1877 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6244, -12095, -17946, -23797, -29648, -35499?\nAnswer: -41350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2279 - -2275. Let d be (10\/8)\/(-1)*4. Suppose 5*q + 5 = -0*q. What is the third biggest value in d, z, -2\/7, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48140095 or -48140094?\nAnswer: -48140094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2 + 2 - p)*((2 - 4 + 4)*(-3 + 3 + 1) - 138 - 67 - 66 + 1 - 4 + 2 - 2 + 4 + 0 + (-4 + 5 + 1)*(-2 + 3 + 1) + 1 - 5 + 1)*(6 - 3 + 0).\nAnswer: 1602*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*((-1*(sqrt(84) + (6*sqrt(84) - sqrt(84))) - sqrt(84)) + sqrt(84)))\/(6*(sqrt(108) + 2*sqrt(108)*-1)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 8 = 0, 3*j - 14 = 4*b. Suppose -m - 5*i = -395, -2*m - m + 1198 = j*i. Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/4)*w)**(3\/17)\/(w**(-18)*w**(14\/9)) assuming w is positive.\nAnswer: w**(10307\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 237373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73476 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-651)\/1519 + 478\/21 + 6\/9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87220584 a multiple of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4883 bigger than -4882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m + 98. Let f be l(-7). Solve 2 = 3*x - h, x + 4 = f*h - 2*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.04. Let a = 96 - 97. Sort v, 3, a in decreasing order.\nAnswer: 3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 3 - -11 - (798 + -802)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -288*q + 2. Let n(m) = -1441*m + 11. Calculate -11*g(f) + 2*n(f).\nAnswer: 286*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*d**3 - 1793*d**3 + 81 + 113 + 2131*d**3.\nAnswer: -d**3 + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 7. Let m be 3 + 220\/30*3\/2. Calculate the remainder when (-166)\/(-3) + m\/(-42) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 86212 and 86212 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*c**3 + 78*c - 2*c**2 + 0 + 1 + 0 + 50*c**3 to the form u + k*c + f*c**3 + o*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/3 + 85 - 0 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 20*i - 19. Determine r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 2 - 12*w + 5*w in the form t*w + u and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) -2.3 (d) 0.62 (e) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*m - 127*m - 214115. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 88. Let j = k + -28. Let h = -92 - -94. Calculate the greatest common divisor of h and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/20 - 31*t**2. Let i(b) = 37*b**2. Determine c(i(n)).\nAnswer: 4107*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m - 9 = 0, 0 = 5*o - 5*m - 8970. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 15, 1 in increasing order.\nAnswer: 1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1034629 and 236812.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 621.6731 to 0 decimal places.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -28277550\nAnswer: 11311020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406058 is divided by 316.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/154 - (-47)\/(-77)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(4\/3))\/(r*r\/r**(2\/7)*r))\/(((r*r*r\/(r**(-6)*r)*r*r*r*r)\/r)\/(r*r**4)) assuming r is positive.\nAnswer: r**(-134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 743301*q\/2 - 552496376601\/4.\nAnswer: -(q + 743301)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z**2. Let w(g) = -10639*g. Determine w(n(x)).\nAnswer: 117029*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -75*l + 1650. What is the remainder when 525 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.24 from 1428.09.\nAnswer: 1415.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1044304044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*a - 1 + 12 = 0, -2*a = -2*f + 24. Solve 4*b - 5 = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:44 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 110 = -4*f, -6*s = -4*f - 4*s + 122. Let o = f + 14. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -i. Is ((-4)\/i)\/2 - -57 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, -1\/6, 1, 0.2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 298, 1187, 2662, 4723, 7370, 10603, 14422?\n\"Answer: 293*c**2 + 10*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25*g + 21*g + 59 = 0, 16 = z + 5*g. Solve -2*u + 4*x - 3*x = 5, x - z = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*d + 4*q, 7*d - 2*d = q + 293. What is the remainder when d is divided by 2\/(-7) - 284\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281483\/750664 - -2\/93833. Factor -15\/8*v**2 - 1\/2*v**3 + u - v.\nAnswer: -(v + 1)*(v + 3)*(4*v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-25)\/14)*666\/(-518)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(10\/(-75)*3). Suppose -2*t + k + 261 = 6*k, m*t - k = 612. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3411162 divided by -1137054.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 - 3 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2220 - 70. Suppose -21*s + 26*s - u = 0. Let c = s + 111. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8643605*z**2 + 11271990.\nAnswer: -17287210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*i + 2 = 0, 2*g + 0*i - i - 6 = 0. Let q be (g\/10)\/(13\/26). Let s = -3 + 2. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2 - 1)*-11*(0 + -1). Solve -i*d = 18 - 73 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*s = 384, -s = 3*h + 379 + 14. Suppose -1 = o + 1, 0 = 3*t + 4*o + 383. Let r = t - h. Solve 4*y - 4*z = 36, -r*y - 2*z + 11 = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkfijvj. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31631378 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 23280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1176748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i**2 + 0*i**3 + 1\/3*i**5 - i**4 + 0*i + 0.\nAnswer: i**4*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = -2*t + 1, 5*t - b = 14. Let k(j) = 0*j**2 - j**2 + 5*j - j**3 + 4 - t*j**2 - j**2. Is 5 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4*288\/54. Let f(h) be the second derivative of 23\/4*h**5 + 31\/4*h**u + 5\/3*h**6 + 16\/3*h**3 + 2*h**2 + 0 + 2*h. Determine n, given that f(n) = 0.\nAnswer: -1, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 15. Let x be s(5). Let v(k) = k + 1. Let n be v(7). Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519528.\nAnswer: 2, 3, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7658 - 7626. Suppose 2*q = -b - 1 - 10, 5*b + q + 10 = 0. Let l(i) = 28*i**2 - 2*i. Let a be l(b). Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-8) - (-8 + -1 - 2). What is the second derivative of j - 81*j**2 + 81*j**2 + g*j**5 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 16*b**2 + 1. Suppose -90 = 98*s - 188. Let u(x) = 1. What is s*u(a) - o(a)?\nAnswer: 3*a**3 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 = -55*x - 2134 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 24*i - 1. Let c be l(-12). Let p(d) = 6*d**2 - 1. Let j be p(c). Suppose 83 = -j*a + 313. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(7) - (-2*sqrt(77))\/sqrt(11)) + sqrt(7))) + (sqrt(77)*-3)\/sqrt(11).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 2. What are the prime factors of s(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*s + 5, -t + 4*t + s = 9. Suppose u - 178 - 675 = -4*g, t*g = 4*u + 868. What is g rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7204*n**4 - 4*n**3 + 115*n**2 + 124*n wrt n.\nAnswer: 172896*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28220001 rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -140818 >= -140818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837 divided by -27.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8*(-8 - 6 - -20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 45 = 3*q, 15 = -y - 4*q + 6. Let i = 0.1 + 0. Sort i, y, -4\/3 in descending order.\nAnswer: y, i, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/577 (b) 62 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 27*t**2 - 4 + t + 4 + 10. Is 11 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 1)*(9 - 113 + 9)*(3*f**2 - 5*f**2 + 0*f**3 + f**3) to w + s*f + c*f**3 + i*f**2 and give i.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 41*c**3 - 2*c**2 + 1. Calculate r(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 5*o + 0*o)*(-2*o**2 - 2 + 2) + 50*o**3 + 4*o - 9*o**3 - 77 - 39*o**3 in the form i + x*o**3 + a*o**2 + m*o and give i.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/6 + 7*i**3\/8 - 9*i**2\/8 - 84*i. Determine z so that b(z) = 0.\nAnswer: -3, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3918 + 15673\/4. Suppose -3*w = 5*d - 32, d - 1 - 7 = -w. Factor -3\/4 + r*y**d - y + y**3 + 1\/2*y**2.\nAnswer: (y - 1)*(y + 1)**2*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*z = 12, 2 = 5*i + 4*z - 14. Let n(b) = b**2 + b + 5*b**2 - 5*b**2 + 6. What is n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*-33.2085.\nAnswer: 69.73785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51101, 51309, 51517?\nAnswer: 51725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*r - 5*r + 5, -2*d = 4*r. Suppose d*j + 0*j = 1042. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -44*n**3 - 6*n**2 - 2*n. Let z(b) = 45*b**3 + 8*b**2 + 3*b. What is 4*y(a) + 3*z(a)?\nAnswer: -41*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 1. Let g = -52 - -49. Give y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5326842929 to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 762 (base 14) to base 16\nAnswer: 5b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11837*x - 1319*x + 1168*x - 3191*x + (-1 + 1 + x)*(3 - 6 + 1).\nAnswer: -15181*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 c when three letters picked without replacement from uttdccttcdudttttttt?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.3 (c) 0.1 (d) 484\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and 75\/577252?\nAnswer: 577252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 n when three letters picked without replacement from {h: 3, e: 9, n: 1, r: 1}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d - 1. Let p be w(4). Let v = p - 34\/3. Put -5\/2, v, -4 in increasing order.\nAnswer: -4, -5\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -30471?\nAnswer: 30474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 301030 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:44 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2778?\nAnswer: -1\/2778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124681 and -0.141.\nAnswer: -17580.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -2*j. Suppose 6*v = j + 14. Factor 6\/7*l + 2\/7 - 6\/7*l**4 - 4\/7*l**v + 4\/7*l**2 - 2\/7*l**5.\nAnswer: -2*(l - 1)*(l + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/16*14170\/(-15587)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnmm when four letters picked without replacement from {m: 5, n: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*v**5 - 516*v**4 - 16848*v**3 + 21716*v**2 - 4368*v = 0. What is v?\nAnswer: -21, 0, 1\/4, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - g = 4, -3*d - g + 11 = -3*g. Suppose 58 = d*k + 4. Suppose 3*t - t - k = 0. Solve 3*q = -0*q - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8026638 + -201287223.8026638. Let n = w - -201287219.99999937. Let m = -2 - n. Round m to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8273 - -20092. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 456679765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14639 - 14637. Let s be (-6)\/24 - (-3)\/(-20). Which is the closest to t? (a) 3\/5 (b) 0.4 (c) 5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2721 times 149.5\nAnswer: 406789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4789889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 3 (c) 14\/5 (d) -87 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v - 20. Suppose 2*u = -4*t + 2670, v*t = -5*u - 0*u + 3330. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from uuueeeejeeeju?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkbbbbkbbbbbbbbbbbb. Give prob of sequence kk.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.96028 - 13.\nAnswer: -14.96028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(153)*-3 + sqrt(153))*5 - sqrt(153)))**2 + -3.\nAnswer: 462822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/12 + q**2\/2 - 1. Let u(t) be the second derivative of b(t). Let o(p) = 17*p**2 - 11*p**2 - 14*p**2. Give o(u(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - r + 37. Let s be w(0). Let h = -4 + s. Let u = h + -15. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -6*t + 16, -2*t = 3*b - 181. Calculate the lowest common multiple of 462 and b.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -140. What is the remainder when j is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(7*4\/(-20)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 12*i - 23. Let y be (0 + -3)*1 + 12. Let q be w(y). Solve -u + q*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60662*s = 60646*s + 271 - 1551 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (2 + sqrt(325) + -3)) + sqrt(325) + -4 + (sqrt(91)\/(sqrt(7)*-4) - (-2*sqrt(117))**2).\nAnswer: -471 + 19*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqiiijavqi. Give prob of picking 1 v, 1 j, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 0.04, 1.1, 5 in ascending order.\nAnswer: 0.04, 1.1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.053273511 rounded to three dps?\nAnswer: -4.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + j + y - 1 = 0, j = 4*y - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.9869 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 5*v**2 + 3*v - 3. Let o(q) = -4*q - 1. Let f be o(-1). Calculate the remainder when 42 is divided by b(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 384229\/109 - 3525. Let n = 254\/981 - a. Let y = -0.0172 + 3.0172. Is y at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 189. Solve -5*j + 4*l = -y + 10, -j + 3*l + 8 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 17*o**2 + 0 + 8\/105*o**7 + 0*o**5 + 1\/24*o**4 + 0*o + 0*o**6 + 0*o**3. Find the second derivative of y(x) wrt x.\nAnswer: 192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 13 - (233 - 228)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-116)\/3)\/(3\/1782). Let j = b - -413315\/18. Find the common denominator of 35\/18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*h + 6, 3*i - 7 - 10 = -h. Solve 4*s = -3*x + 21, 4*s - 5*x + h = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10275 and 24797?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) 1.2 (c) 0.1 (d) 3.04 (e) 0 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211395.\nAnswer: 3, 5, 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-2))\/n)\/(n*(n\/(n\/(n\/(((n*(n\/n**7)\/n)\/n)\/n))*n))\/n))\/(n**2)**5)**(-2\/7) assuming n is positive.\nAnswer: n**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/4 - g**3\/2 - g**2\/2 - 4*g. What is the tens digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3192979 is divided by 1982.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1242 and 2898.\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -69. What is the common denominator of ((-412)\/(-408) + -1)\/(k\/755) and 79\/6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*v - z, -4*z - 5 = -3*v + 3. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -67.\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3737 or 1064?\nAnswer: 1064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 7*v - 8. What is the units digit of v\/((-14)\/(-176)) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 0)*(-g + 9 - 9).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 13, -3599*w + 3597*w - 10 = -12*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5 + 37899*o**3 - 93422*o**2 wrt o?\nAnswer: -120*o**2 + 227394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -803077 - -1616077. What is c rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16*z**2 + 761*z - 4542. Give j(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from kelylyvz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 78, 45\/4, 8, -2 in descending order.\nAnswer: 78, 45\/4, 8, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) - -3 - 2. Let y = 64 + -59. Which is the closest to z? (a) -1 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35172.21ml to litres.\nAnswer: 35.17221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from utdoddoodotudtut.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 55\/1833726 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 937626?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**2 - o**2 + 2*o**2)*(-4 - 1 + 3)*(-1 + 1 + 2) to the form r + x*o + f*o**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s**2 - 4*s)*(2*s - 3*s - s)*((-3 - 1 - 2)*(0 + 0 + 3) + 0 - 1 + 3).\nAnswer: -64*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-177)\/(-30) - 6)\/(2\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 1. Calculate v(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**4 + i**2 + i - 1. Let u(d) = -13*d**4 - 2*d**2 - 2*d - 1. Let j(b) = -u(b) - 2*z(b). Differentiate j(k) with respect to k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 22*m + 508. Let g be w(-23). Sort 0, 1, 12, g in descending order.\nAnswer: 12, g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1029933 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469203179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 15165464\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9992508*o**2 + 9472351*o wrt o.\nAnswer: -19985016","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1692715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 0.25587?\nAnswer: 0.45587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46672524 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21775096 and 0.14.\nAnswer: 21775096.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*k + 22, 0 = -g - 2*g - 12. Let h = k - 0. Calculate the greatest common divisor of 36 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 67*c - 222. Let d be f(12). Suppose 4*z + 5*a = 2*a + 61, 78 = 5*z + 2*a. Solve -z = 2*t - d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.510017 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 + 7*y + 1. Let p(f) = f. Let g(d) = -k(d) + 6*p(d). What is g(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-120 + 109 + (-1 - (2 - 20)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(((-5)\/2)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 minutes before 10:16 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 5, -0.051, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012282 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 - w**2 + w**2 + (w**2 - 5*w**2 + 2*w**2)*(-3*w + 4*w + 0*w) - 4*w**3 + w**3 + 5*w**3 + (-2 + 3 - 2*w**2 + 1)*(-6*w + w + 3*w).\nAnswer: 2*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 + 5*f + 5. Determine k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*l)*(-3 + 2 + 0)*(-6 + 0 + 1)*(-1 + 1 + 3)*(-1 + 0 + 5) to the form r + c*l and give c.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 29. Let a be (3\/3 - 373)*b. Suppose 0 = 3*t - a + 183. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 280, 305?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 2, -3, 4 in decreasing order.\nAnswer: 4, 2, -3, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 30*w + 5*c - 394, -5*w - 4*c = -488. Let l be -2 - (44\/8 - 3)*-2. What is the greatest common divisor of w and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41669\/88 or 474?\nAnswer: 41669\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -165d8 (base 14) to base 8\nAnswer: -155362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(300) + 0 - sqrt(3))**2 - sqrt(3))*1.\nAnswer: -1215 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 5*x - 6085 = 0, 2*a - 6080 = 4*x. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003017621 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 321868951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28259053 to the power of 1\/2, to the nearest integer?\nAnswer: 5316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -243302*t - 4136130. What is u(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = -3. Let q(l) = -l**2 + l + 1. Let p be q(m). Is (-2010)\/(-12)*p*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54996 is divided by 618.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 0.9.\nAnswer: -78.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -6*2\/4) + (109 - 100)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 2034 - 2034 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 > 2007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51901616 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 43, 5, 3767, -3\/7?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 50416023.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(2*(-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15) + 32\/(-24))*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 21*k - 9. Let t(f) = -f**2 + 5*f + 2. What is 4*l(u) + 18*t(u)?\nAnswer: -2*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0)*61\/(-549)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 3294858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644082 by 72.\nAnswer: 107347\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2. Let c(v) = -3785939*v**2. Give x(c(a)).\nAnswer: -57333336446884*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20972977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 49*p**3 + 7*p - 38*p**3.\nAnswer: 11*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3843 + -13d?\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m - 2. Let u be g(0). Let n(h) = -h - 3 - 3*h + 0. What is n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 30 = -3*c. Calculate the highest common factor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 182*x + 29431. Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2219, -2229, -2239, -2249?\n\"Answer: -10*s - 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34.9445 * 9\nAnswer: 314.5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1*(-2)\/(-3)*(-55)\/(2640\/(-34272))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/35, 5, 0.05 in increasing order.\nAnswer: -2, 0.05, 2\/35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.62? (a) 224 (b) -7 (c) 2\/7 (d) 2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/11, 204, 1.5, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/((-1258)\/(-37)) + (-48)\/5)*(-10)\/(-376).\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180226 is divided by 15012.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6657934*m**3 - 20787474.\nAnswer: -19973802*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 35985*s - 216018.\nAnswer: 3*(s - 6)*(s + 12001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.0000008 - 35. Round z to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -246?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 19. Suppose -4*q + 4*a = 0, -5*q + 3*a + t = -q. Factor -5*h**4 + 4*h**q - 6*h**4 - h**5 - 4*h + 7*h**4 + 2*h**5 + 3*h**3.\nAnswer: h*(h - 2)**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277507 is divided by 476.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 1367 = -1439. Solve 3*s - 180*q = -179*q + c, 2*s = 2*q - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1703 + 2351. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.55 - 1.45. Sort 2\/19, 2, r in decreasing order.\nAnswer: 2, 2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-3)\/(-6)*(-13)\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -949, 9, 31.\nAnswer: -949, -4, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15) + (-188)\/(-5). Suppose 122 = -4*x + n. Let c be (-31)\/(-35) + 6\/x. What is the closest to -1 in 3, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y = -58*y + 8. Let r be 4*(9 + y)\/(0 - -1). Factor 3\/2*s**3 + 1\/2*s**r + 1\/2*s + 3\/2*s**2 + 0.\nAnswer: s*(s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2641*j**2 + 133*j. Let t(k) = -32*k**2 + 146*k + 16. Let x(l) = l**2 + 18*l + 2. Let y(v) = t(v) - 8*x(v). Determine 4*w(a) - 266*y(a).\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(15\/7))**(-2\/5) assuming z is positive.\nAnswer: z**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 3.924, -6\/7, -5, 5, 17 in descending order.\nAnswer: 17, 5, 3.924, -6\/7, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 131 = -5*h + 2*m, 4*h - 3*m = 87. Suppose 3*r + 3 - h = 0. Let v(n) = n**2 - 5*n. Is 14 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:28 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41668*g**2 - 42851*g**2 + 82970*g**2.\nAnswer: -1549*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 85*z + 260*z**2 + 7 - 11 + 9 = 0. Calculate z.\nAnswer: -1\/4, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let t(k) = -k**3 + 2*k**2 - 2*k + 1. Determine t(o) - 2*u(o).\nAnswer: -o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**7\/420 + o**6\/120 - o**5\/120 - 7*o**2. Solve q(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2.58.\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/13, -432, 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-10))\/(g\/(g\/((g*g**(-6\/13))\/g))))**(-3\/5)*g**(-4\/7)\/(g\/(g\/g**(-1\/10)))*(g**(-2\/7))**(-1\/61) assuming g is positive.\nAnswer: g**(-407647\/55510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {y: 7, v: 2, k: 10, e: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -3\/2, -7, -0.5 in ascending order.\nAnswer: -7, -3\/2, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1101110111001100101111 (base 2) to base 16\nAnswer: 37732f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 854\/13 at most -9.263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 + 8*g - 6. Let u be o(6). Suppose 9 + u = 3*z. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shs when three letters picked without replacement from {h: 6, z: 3, s: 2, r: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 139 - 145 = 0. Sort a, 1, 0, 11 in increasing order.\nAnswer: 0, 1, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 426\/(-27) + (-2)\/9. Let f be -3 - u\/(3 + -1). Suppose 10*z = f*z. Solve z = 5*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13255\/(-4) - (-21)\/28. Round n to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k - 1 - 6*k - 3 wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 544 + 158 = 0. Let r = h + -140. Let q = -55 + r. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 377743.\nAnswer: -377744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 9*w - 4824 + 4776 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1403, -1405, -1417, -1445, -1495, -1573?\n\"Answer: -y**3 + y**2 + 2*y - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + 0.5. Suppose 0 = -4*h + 6*h + 6. Let j = -3.89 - -7.89. What is the closest to b in j, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/252 + (-3)\/12 - (-1700)\/360\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5 - 3 + 0 - 3*r + 0. Let d be i(-11). Suppose -5*q = -210 + d. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-1 + 1 - 2*s) - s + 0 + 0 + 71 - 20 - 47 - 179*s as o*s + g and give o.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -156, -338, -542, -768, -1016, -1286?\n\"Answer: -11*q**2 - 149*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 4*f**4 + 2*f**4)*(0 + 0 + f) + 0*f**5 - 438*f - 2*f**5 + 442*f.\nAnswer: -3*f**5 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 9*v - 21. Let j(o) = o**2 - 4*o - 10. Let u(p) = -4*h(p) + 9*j(p). What is u(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.668 times 64\nAnswer: 1898.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 5*k**2 - 3*k + 5. Suppose 5*n = 2*i - 3, 4*i + 3 = -n - 2. Let p = i + -5. Determine x(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -2\/9 (c) 5 (d) -0.2859 (e) -45\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 7544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 29*g. Let x(b) = 2*b. Give x(i(n)).\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6322345658 + 18.42.\nAnswer: -6322345639.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -1087 + 1057. Solve -x*d = -23 + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5 = -471. Let t = g + 1070\/9. Which is the biggest value? (a) t (b) -2 (c) 1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01624916943 to 5 decimal places.\nAnswer: -0.01625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 190, 385, 646, 967, 1342, 1765?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = 3*v + 12, -j - 3*v = 3. Solve j = 37*f - 18 - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2700 and 2594900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 5. Let s be y(5). Suppose -4*h + 0*h + 16 = s. Let v be (-1)\/((-4)\/11) - 2. Which is the closest to -2? (a) v (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = h + h. Suppose -3*s - h = -5*l, -6*l = -4*s - l. Suppose -2*a = -4*n - 20, -29 = -s*a - 2*n + 57. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.76 + -8.76. Let f = -1.9 + 1.6. Let k = -4 + 3.94. What is the closest to k in -2\/7, b, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 538 - -14?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 2. Suppose r + 0*r + 3*j - d = 0, 4*j = 3*r. Find the second derivative of 0*v + r*v - 12*v - 17*v**4 wrt v.\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23841, -43230, -62619, -82008, -101397, -120786?\n\"Answer: -19389*u - 4452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/13)\/v*v)\/v*v*v\/v**5*(v**1)**(-5\/6))\/(v**(-1\/5)*v**(3\/2)*(v*v**(-4))\/(v*(v\/v**(-4))\/v)) assuming v is positive.\nAnswer: v**(379\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 31*j**2 - 510*j - 6006. Calculate q(-40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110222 - 222212120?\nAnswer: -212101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 345. Let c = 295 - w. Solve 0 = -2*j + c*k + 3 - 9, -5 = -5*j - 5*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10831.037 and -0.3.\nAnswer: 3249.3111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/1184*(-672)\/210?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-1))\/((-2)\/4). Suppose 0 = 3*k - 8*k + 3*a + 17, a = -4*k. Suppose -k = -w + l. Calculate the remainder when 13 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 11\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 1752*t**2 + 295797*t\/2 - 3159941.\nAnswer: (t - 3418)*(t - 43)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 4*z = -104 + 120, -5*z + 20 = -2*j. Which is the nearest to j? (a) -1\/2 (b) -2 (c) 0.4 (d) -171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 66, -4, -3 in decreasing order.\nAnswer: 66, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 337 + -341. Let g = -179 + 1429\/8. Which is the third biggest value? (a) g (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*d = 0, 2*r + 7*d = 2*d + 16. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -70*b**3 + b**2 - b - 1. Let z be m(-1). Suppose -z - 167 = -2*k. Let o = 175 + -158. Calculate the greatest common factor of k and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 3, c: 1, t: 2, d: 4}. Give prob of sequence ght.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -373152 by 598.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -303687.832 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257139074 to the power of 1\/2, to the nearest integer?\nAnswer: 65247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/45 and 10\/622449.\nAnswer: 3112245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*w - 5*w = 35, 3*w = -4*f + 57. Suppose -15*d + 11*d = 3*c - 15, -f = -3*c + 4*d. What is the nearest to 1\/4 in -33, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 82*h + 12143 - 157*h - h**2 + 71*h. Is n(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 10:32 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otto when four letters picked without replacement from zggzottoggzggzo?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 169 = -2*d, 3*b + 106 = -5*d + 16. Let u be (-12)\/28 + 73240\/b. What is the units digit of (-1)\/5 - u\/65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/(-18)*(-3)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 88.214\nAnswer: 88.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366105 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169508 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3036 = -0*x + 22*x. What is the smallest common multiple of x and 207?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclcpcw. Give prob of sequence cwcc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13176 divided by 366\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 4099127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.253936l?\nAnswer: 4253.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 2*l - 11*l + l + 7*l. Calculate g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/6 - 1392\/(-1008)) + (-1120)\/(-4606).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23033 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4389823415 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 3, -13, -47, -105, -193?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (20 - 5) - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-84\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102192 is divided by 6350?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/12*(10 - 4 - 2601\/357)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 6*l + 2 - 2*l - 4*l - 4*l to u*l**3 + b*l**2 + o + c*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -6) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1950 = 19*g - 24*g. Suppose -5*q - 2*v + 3175 = 0, 5*v + 2930 = 4*q + g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Suppose 30 = -5*a - r*a. Let k be (-60)\/(-63) + 4\/a. Which is greater: k or -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -24. Let x = 0.1 - 0.2. Let o = -3.1 - x. Which is the second smallest value? (a) m (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*23\/(-92).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 69. Solve 0 = 5*y + 3*s - 35, 4*s = -4*y + 3*s + l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00237414859 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 219\/((-1)\/(-2) - 2). Let b = -140 - n. Let j be ((-56)\/21)\/(-8) - (-16)\/b. Let c(p) = 3*p**2 - 3*p - 1. Calculate c(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q - 167. Let r be n(10). Let s be 8\/16*-6 + r. Let c(a) = -a**3 - 4*a**2 - 3*a + 2. Let h be c(-3). Sort s, 5, h in ascending order.\nAnswer: s, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g**4*o + 499*g**3*o - 2*g**2*o - 70261*g*o wrt g?\nAnswer: -168*g**2*o + 2994*g*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 6758735?\nAnswer: -4\/6758735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 213 = -10. Let u be 5 + q\/(-63) + 4\/18. Suppose -u - 22 = -2*w. What is the remainder when 21 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**5\/30 - 3*l**2\/2 - 87. Let d(j) be the second derivative of s(j). Let f(x) = 9*x**2. Determine d(f(p)).\nAnswer: 162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kwkwwwkwkokko?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + -1 + 4 + -3 + (3*(sqrt(180) - (2 + sqrt(180))) - sqrt(180))**2 + -1.\nAnswer: 73*sqrt(5) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21020112022?\nAnswer: -21020112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 2, a: 1, y: 1}. Give prob of sequence cy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:34 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*s = -461*s + 5, 4*s = 3*q - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, -0.05, -4, 0.65?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13. Suppose k*i + 4*i + 63 = 5*g, 4*g - 2*i = 48. Suppose -42*x = 277 - 5359. Calculate the highest common factor of x and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*c - 901*c + 532665 - 408*c - 989*c - 532665.\nAnswer: -2144*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117711 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {s: 6, m: 1, z: 5, g: 1, n: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -15 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Let h = -2479619\/315 + 7872. Let f = 1\/35 + h. Which is the third smallest value? (a) f (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -4 + -1 + 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/112 - -3\/16. Let m be 0 - -2 - -1 - (4 - 5). Suppose m*d + 37 = 17. Which is the closest to h? (a) d (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 0.4 (b) -12 (c) 29 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430967 and 54944.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {n: 2, h: 6, b: 2, g: 1, l: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*v + 4136 - 3865 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose 3*g + 2*g - 20 = 0. Put g, w, -2 in descending order.\nAnswer: g, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:40 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3472 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -71*a**2 - 1. Let v(b) = 2134*b + 2. Determine v(z(c)).\nAnswer: -151514*c**2 - 2132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 51 - 21 = 0. Suppose 6*t + 65 - 5 = 0. Let i = f + t. Solve -4*g + 20 = -i*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-16))\/(7\/(-56))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -828 (c) 0 (d) -0.1 (e) 1\/3 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -22*g**3 - 223*g**2 - 4*g - 141. What is n(-11)?\nAnswer: 2202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:49 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4 - 70*x**3 = 0 for x.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/993 + 1964\/10923. What is the closest to -0.1 in -2\/13, t, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329187 is divided by 339?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.62 - 0.52. Let a = o - -0.9. Let l = -10.00175 + a. Round l to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 81*h**2 - 92*h + 15. What is p(2)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/31, 2, 134, -3\/17?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 + r - 38. Let q be f(0). Let j = 54 + q. Let g = -11 + j. Solve -3*y - 2*y = -g*a - 25, -2*y + 3*a = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) + (sqrt(196) - (sqrt(196)*-1 + sqrt(196)))*4)\/sqrt(7))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 14 + 7*o**2 + 7 wrt o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/72)\/((-11)\/3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -48. Let k(m) = -m**3 + 10*m**2 - 16*m - 9. Let t be k(q). Let y be ((-114)\/t)\/1 + 4\/(-6). Calculate the greatest common factor of 108 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261750 by 87250.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10746 - 10735. Solve k*x - 8 = 15*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -24*r**3 - 135*r**2 - 20*r + 106. Let p(n) = 5*n**3 + 28*n**2 + 4*n - 22. Calculate -29*p(o) - 6*q(o).\nAnswer: -o**3 - 2*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c + 8. Let u be r(-3). What is the third derivative of 25*n**2 + 7*n**5 - 20*n**u - 24*n**2 wrt n?\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3\/7*q**2 + 0*q + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 - (-1197)\/(-231). Let v be (-14)\/((-14)\/17) - 13. Put -2, -4, j, v in ascending order.\nAnswer: j, -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*c**2\/4 - 771*c\/4 + 111\/2 = 0. What is c?\nAnswer: -37, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/119 - ((-460)\/14)\/5. Suppose z*x = -8*x - 33600. What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 1, c: 6, e: 4, j: 7}. What is prob of sequence cjt?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*y**2 + 21*y**2 - 12*y**2 + 15*y**2 + 32*y**2 to m + z*y + n*y**2 and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2873400 divided by 8\nAnswer: -359175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*b + 753, -b + 3*b - 291 = -3*o. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10892)\/31024 - 2\/8*-1. Let w = 317855857\/46566470 + -27314\/16811. Let z = v + w. What is the common denominator of z and 69\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 6934154.\nAnswer: -5, -4, -2, 6934154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -81.3. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, t: 6, h: 5, o: 1}. Give prob of sequence qo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*w**3 + 79*w**2 - 1260*w + 288.\nAnswer: (w - 3)*(w + 4)*(103*w - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - -0.03. Let j be 2\/(-5)*5\/8. Which is the closest to j? (a) 1 (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22993, 22878, 22759, 22636, 22509, 22378?\nAnswer: 22243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - -4 - 3) + -3. Let m(s) = -s - 9*s + o*s + 6*s. Let c(h) = 5*h - 26*h + 4*h + 2*h. What is c(m(r))?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*c**2 - 55*c**2 - 229*c - 410*c)*(-3 - 2 + 3 + (0 + 1 + 1)*(-1 - 1 + 3) - 6 - 1 + 5).\nAnswer: -2*c**2 + 1278*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-5)\/(-196)) + 2. Suppose -p - i + 53 = -b, -2*b = p - 302. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 7124668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501650 and 45425.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/10 + 1)\/((-24)\/(-60)). Let p(d) = -3*d + 3. Let v be p(6). Let k be 1\/v + (-8)\/(-20). Which is the third biggest value? (a) r (b) k (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(2*m - 7*m - 2*m) - 6*m - 10 + 10)*(-1 - 6 - 5).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1754 equal to -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185217604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 2423 - 4828 + 2424.\nAnswer: -3*l**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2201, -2384, -2771, -3368, -4181, -5216, -6479, -7976?\nAnswer: -9713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 0.12.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/39)\/(496\/2046)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 6*x**2 - 15. Let c be p(-8). Suppose -y + c = 5*z, -5*z = 2 + 3. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12 and 31\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119760949 is divided by 7676?\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5110 - -3?\nAnswer: -5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**4 + 182095*u**2 - 3*u - 670539?\nAnswer: -4*u**3 + 364190*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hirpdphr. What is prob of picking 1 p and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/6 + t**2 - 8. Determine g, given that w(g) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258215 (base 12) in base 15?\nAnswer: 4b2172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -1216461.\nAnswer: 16\/1216461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646536 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 16*r**4 - r**2 - 2*r**4)*(37*r - 124*r + 324*r) + (-4*r**2 - r**4 + 4*r**2)*(3*r - 5*r + 5*r).\nAnswer: 3315*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-10 + (-2 - (-105 + 77)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1042407 by 94.\nAnswer: -1042407\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4097*n = -2*c - 4093*n - 16, -c = 4*n - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) -0.12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 1. Let c be y(-2). Let a be 6\/3 - (-27)\/c. Calculate the highest common factor of 121 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*z*z\/(z*z**15*z))\/(z**12\/z*z\/(z\/z**13)*z) assuming z is positive.\nAnswer: z**(-317\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5148)\/(-33))\/26*(-9)\/(19926\/(-9)).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 - 4*n**2 - 4. Let f(t) = -17*t**3 + 11*t**2 + 12. What is 4*f(q) + 11*j(q)?\nAnswer: -2*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5784 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*-1)\/sqrt(5) + -3 + 1.\nAnswer: -5*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 80980603*d - 80980609*d + 2.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**8\/336 - h**7\/210 + h**6\/120 + h**5\/60 - 15*h**2. Suppose i(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from dzkzzkfekztkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-20))\/(3\/(-6)). Let h = 161 - 161. Suppose h = 3*f + 59 - 62. Which is the biggest value? (a) -4 (b) 0.5 (c) f (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216 - 121. Let d = -88.7 + v. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -692*n**2 - 474*n + 6. Let f(z) = -692*z**2 - 473*z + 4. Let p(g) = 3*f(g) - 2*j(g). Find the second derivative of p(d) wrt d.\nAnswer: -1384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -55.4, -0.11, -2\/5, 3, 1.7?\nAnswer: -55.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.01 + 0.01. Let s = -441\/8 - -219\/4. Let j = -1\/8 - s. Which is greater: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**2 + 0*d**3 + 21*d**2 - 4*d**3 - d**3 + 71*d**2 in the form x*d**3 + h + g*d + f*d**2 and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -18. Let w be 1056\/110 + (-6)\/i. Solve -11 = 4*y + w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c**6 + 0 + 0*c**4 + 0*c**3 + 0*c - 7\/20*c**5 + 11\/70*c**7 + 19*c**2. What is the third derivative of h(k) wrt k?\nAnswer: 792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(-27\/5))\/t*t)\/t**(-16)*(t*t*t*t**(-2\/17))\/t**(-23) assuming t is positive.\nAnswer: t**(4189\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(330)*-2 - sqrt(330)) + sqrt(330) + sqrt(330))*-6)\/sqrt(6))\/(-5*1*sqrt(891)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 487510000 to the nearest one million.\nAnswer: 488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssshssssssy. What is prob of sequence hsy?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 2*d + 2. Let q be j(-2). Let p be q\/(-8) + (-1)\/4. Is 1418\/18 + p\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 15 (c) -0.113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6\/11))\/m**6*(m**1)**(2\/7))**(4\/21) assuming m is positive.\nAnswer: m**(-428\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.06 (b) 19.7 (c) 0.2 (d) 2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4 = -11. Suppose 8*q + 2*q + 40 = 0. Let i be (m\/((-18)\/q))\/1. What is the closest to -1 in i, -4, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 22, -9 in ascending order.\nAnswer: -171, -9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6*a**3 - 3*a**4 + 3*a**2 + 6*a - 63 + 63 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + z**3 - 2 - 3*z**3 - 5*z**4 + 239*z**2 - 225*z**2 to b*z**2 + n*z + g*z**4 + h*z**3 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -96\/55?\nAnswer: -96\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1)**2 - (-5 + -4*sqrt(63)).\nAnswer: -6*sqrt(7) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5340)\/30 - 29)\/((-2)\/66).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 - 110. What is the least common multiple of 6 and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 707608.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 15. Let w be s(21). What is the greatest common divisor of w and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = -28*u + 38*u. Let t = -0.02 - -0.04. Which is the third smallest value? (a) 1 (b) -5 (c) u (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 + 2*w + 9. Let f(a) = 3*a**2 + a + 4. Let v(h) = 9*f(h) - 4*n(h). Factor v(c).\nAnswer: c*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42)*146300\/418?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244118?\nAnswer: 2, 3, 101, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -11. Let w(a) = 3*a**2 + 6*a - 2. Calculate the remainder when w(g) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 2. Let q be f(2). Suppose -3*h = -0*u + 3*u - 6, 3*h + 4*u - 4 = q. Suppose 0*v - 2*l = 3*v - 34, -44 = -2*v + h*l. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130745895 to 7 decimal places.\nAnswer: -0.0013075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 10792 - 10804 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243792843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48224, -47912, -47390, -46658, -45716, -44564?\nAnswer: -43202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6 + -1)*374. Let o = 308 - r. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 <= -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-3 - 6)) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-5))\/(4\/10). Suppose z*p + 300 = 8*p. Calculate the remainder when 23 is divided by p\/6 + 2\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*r - 859*r = 210*r + 270*r + 68474 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4761 + 0*s - 2*s - 4778.\nAnswer: -2*s - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3 + 6*d - 8 + 0. What is the tens digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, 86, 218, 360, 512, 674?\n\"Answer: 5*d**2 + 107*d - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - -2. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -548, -824, -1100, -1376, -1652?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*8\/20*(-1995)\/252)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6810\/22700*10\/(-288).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475 (base 9) to base 15.\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 230 = -7*g + 2*g, 0 = g + 3*d - 36. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((89\/356)\/(3\/(-12)))\/(37\/(-1)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 28804*v**2 + 28816*v + 57616.\nAnswer: -4*(v - 2)*(v + 1)*(v + 7202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 20 = 2*n. Sort n, -2, 10, -1.\nAnswer: -2, -1, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:14 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.16 (c) 0.1 (d) -5 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -979\/14 + 70. What is the nearest to 1\/4 in 4, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11050 and 1501950.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*m + 8, 3*r - 15 = -5*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 5*q**4 - 1 + q**4 + 3*q**3 - 3*q**4 - 2*q**4 in the form z*q + l*q**3 + f + o*q**2 + a*q**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187791806 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -31. Let h(q) = q**3 - 6*q**2 + q - 2. Let o be h(6). Solve -15 = 3*y + 4*z - 5*z, -o*y - m = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 - -4)) + (0 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 369.84 + -379. Let s = -0.16 - u. Let z = s - 7. Is -2 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 841.\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 10. Put d, 4, -6 in ascending order.\nAnswer: -6, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/402510 and 73\/376?\nAnswer: 75671880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -14*y - 318. Is (-6)\/3*y\/12 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 470, 535, 636, 767, 922, 1095?\n\"Answer: -j**3 + 24*j**2 + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*s**5 + 3*s**2 + 21*s?\nAnswer: -7680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:45 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f**2 + 3081304*f + 296701073138 = 0. Calculate f.\nAnswer: -385163\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 4*o - 7. Let j be y(5). Suppose -z + 74 = 73. Calculate the remainder when z is divided by (-6)\/4*j\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -138163078.\nAnswer: -2\/69081539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/4 - 5*b**4\/12 - 5*b**3\/6 + 5*b**2\/2 - 6*b. Suppose l(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 342 + 3674. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 4*z**2 + 23*z\/3 + 12.\nAnswer: (z - 9)*(z - 4)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:16 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yvyytvyv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1370919831?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 416507.8 nanometers in kilometers?\nAnswer: 0.0000004165078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*f - 7, -4*f - 14 = g - 33 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13)*-1)**2 + (sqrt(13) + -1 + 5)**2.\nAnswer: 12*sqrt(13) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqciciicccqc. Give prob of picking 3 i and 1 q.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 0 - (-1 - (0 + -4))) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.325136097 to three decimal places.\nAnswer: 0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:09 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2980 + -2975. Let d(z) = 2*z**2 - 3*z. Let l be d(2). Suppose l*m - 9 = k - 2, 3*m - 9 = 2*k. Which is greater: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60823.46 weeks to days.\nAnswer: 425764.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (18 + -19 - 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25 + 21)*(2 - -1 - 1). Does 38 divide 1*-914*8\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.069124 millennia?\nAnswer: 0.69124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11*a = 48, -21*a - 113 + 28 = -22*a - 16*a for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -458744 (base 9) in base 14?\nAnswer: -72544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 5*k + 5. Let a be s(-4). Suppose -21*o = -24*o + 24. Let f be (-3)\/((-12)\/o) - -4. Solve y + a = -2*j + 4, y - j = -f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2)*(0 - (-38)\/4). What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*l - 70609 = 9947 for l.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + -162. Let a = q - -478. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, s: 1, c: 1, k: 1, p: 11}. Give prob of sequence up.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 16. Suppose 7*z - n*z = -41. Let f = z - 21. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/24 + z**5\/15 - z**4\/12 - 7*z**3\/6 - 63*z**2. What is the second derivative of t(c) wrt c?\nAnswer: 30*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w - 10893 = -10266 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-9)\/(-30))*9. Calculate the remainder when -2*(-9)\/117 - (-271)\/13 is divided by 10\/b*(-34 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 + 0.4.\nAnswer: -415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -3*r**5\/5 - 8*r**3\/3 - 144*r + 82. Find the first derivative of g(k) wrt k.\nAnswer: -12*k**3 - 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 20 = -4*i. Let v be 45\/2*i\/3 - -2. What is the highest common divisor of v and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.8336168 rounded to zero decimal places?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004606 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {h: 1, r: 4, s: 5, f: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135041 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37657?\nAnswer: 37657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.67. Let x = 557.9 - 558. Sort x, l, -5.\nAnswer: -5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6358 and 78262356?\nAnswer: 860885916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 1) + 25 + -8 - 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let l = y - 0.5. Let a = 1469\/9 + -163. Sort 5, l, a in descending order.\nAnswer: 5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019476457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3 in descending order.\nAnswer: 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 139*k - 19 - 153*k.\nAnswer: -14*k - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 3*s - 4. Calculate j(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1383 + -1383.4. Let d be 1\/(16\/((-4)\/2)). Put l, d, 0.3 in descending order.\nAnswer: 0.3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 49 = 38*i + 608 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 3:21 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-288)*-44)\/((-2002)\/156)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31223 (base 8) in base 11?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -9)*2\/2. Suppose 4*q - 40 = -4*m, -3*q + q + 5*m + 27 = o. Let u = q + 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 - 212*l - 110. Let t be d(0). Put -4, 7, t in descending order.\nAnswer: 7, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12464282*q**2 + 9*q + 236 wrt q.\nAnswer: -24928564","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81746*i**4 - 7866*i?\nAnswer: 980952*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 9. Let t be f(11). Suppose -32 = -t*i + 5*b, 4*b = -4*i + 95 + 25. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence now when three letters picked without replacement from {o: 2, d: 5, w: 1, n: 1, c: 6, p: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.039 + -1817519.099.\nAnswer: -1817519.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146348595?\nAnswer: 5, 7, 32752817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 210?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvpvvvpvpvvppppppv. Give prob of sequence pvpv.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) -0.2 (c) 0.2 (d) 129.64 (e) 2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -182, 0.1, -1.61?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**2 - 8395*k + 14419. Determine x(-1201).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q + 14. Let s(z) = -3*z. Let t be s(0). Let u = t + q. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7912030, -15824063, -23736096, -31648129?\n\"Answer: -7912033*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Let r(z) = 6*z - 6. Is 18 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19246662 from 30227.97.\nAnswer: -19216434.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {r: 1, a: 1, b: 1, h: 2, n: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(12\/3) - -4. Suppose -6*t + 7*t - 104 = q, -n*q + 129 = t. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29935310 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.9 and 5\/1539 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 64. Let d = 2.9 - 3. What is the third biggest value in d, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187822 is divided by 999?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 26*c**2 + 1670*c + 11708. What is x(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - (-21)\/(-35). Sort -3, u, 10 in decreasing order.\nAnswer: 10, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - j - j = -1, 4 = -t - j. Let x be (-4)\/(-18) - (-38)\/t. Is 21 a factor of 28 + -6*(-2)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1123202)\/62544 - ((-1694)\/112 + 15). Let i be 1 - 7820\/7818 - 0. Let g = u - i. Calculate the common denominator of -71\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + l - 3*l = -998, -5*f - l = 2513. Let g = f - -524. Calculate the highest common factor of g and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 - 12*b - 16 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/17)\/(74\/(-629))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 6\/(9\/3). Let x be 1*4 - (36 + f). Let n be (-17)\/35 - x\/119. Put 1, -1\/6, n in descending order.\nAnswer: 1, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -13. Let v = -33 - -39. What is the highest common divisor of v and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*a**3 - 5*a**2 - 2*a + 3*a**2 - 127*a**3 + 62*a**3 as g*a**2 + s*a + f*a**3 + l and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -621, -612, -599, -582, -561, -536?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-29))\/(63753\/1232558)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 238.443?\nAnswer: -240.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 448 from -100.39722575.\nAnswer: -548.39722575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**3 + p**2 - 5. Let f(w) = 7*w**2 + 2*w. Calculate -5*f(m) + 6*x(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1962)\/(-2616) + (-1537186)\/16*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbboeebkbekbobbo.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/339450 and 169\/2321400.\nAnswer: 71963400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 19. Let b = r - -10. Let a(q) = -q**3 + 2*q**2 + 6*q - 5. Calculate a(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-8)*(-348)\/9)\/(-1). Suppose 0 = 3*p - 61 + x. What is the greatest common divisor of p and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 110*c - 114*c = -45, 0 = 3*c - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -14. Suppose 4*o - 3*o - 2 = 0. Solve 5*g + 2*y + 1 = 0, 0 = t*g + y + o - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 110 - 95?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/((-20)\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*d + 24, -d + 4*d = -6*h - 39 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 46298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*1 + sqrt(240))*6)\/(sqrt(144)*2))\/(6*(sqrt(12) + -3*sqrt(192) - sqrt(24)\/(sqrt(8)\/sqrt(4)))).\nAnswer: -sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 8*u + 5*u - 17 - 17*u - 7*u.\nAnswer: -2*u - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17486\/5 - -3482. Let c = l - -327\/10. What is the common denominator of -23\/2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 56*a + 58. Determine u(-55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqxezzeeezqxeezqe. Give prob of sequence zzqz.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472328 and 242029?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j, -5*k - j + 66 + 10 = 0. Suppose k*r = 12*r + 12. Suppose -43 = -3*b + r*c, 5*c - 6 - 2 = -b. What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 - 782*z**4 + 6296*z**3 - 18928*z**2 + 25264*z - 12640.\nAnswer: -(z - 2)**4*(z + 790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let w = 1605 + -1605. Let j(h) be the first derivative of 6 - 25\/2*h**2 + w*h. Give j(g(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 11214243?\nAnswer: 11214302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 2*w**2 - 7 - 3*w**2 + w. Suppose -5*r - 8 = 17. Does 13 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/4*(-1)\/(-1). Let g be y*74 + 0 + 0. What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5 + 5836*z**4 + 2148976*z**3 + 14781312*z**2 + 8363520*z - 25299648 = 0. Calculate z.\nAnswer: -726, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 5*d**2 + 4*d**2 + 3*d**2 - 2 + d**4 + 8*d - 2*d**3 to v*d**2 + a + p*d + g*d**3 + t*d**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 5 (c) -4\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175968 and 307944.\nAnswer: 1231776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*c + 21 = 0, -c - 2 + 1 = l. Suppose 2*h = 4*p + 14, -2*h + 9 = -p - 2*p. Let m = -0.6475 - -0.4475. Sort m, h, l in decreasing order.\nAnswer: l, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36130680*a**2 - 78503261 with respect to a.\nAnswer: 72261360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/24*-2)\/((-312)\/(-19968))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**2 - 14*x + 3. Let l(p) = -7*p**2 - 5*p + 1. Let u(k) = -6*i(k) + 17*l(k). Calculate u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*2*(-23)\/(-552)*6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94548 - 50674?\nAnswer: -145222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 22 = 4*p + 2, 0 = -5*c - 5*p + 10. Let n be 2*(c + -2) - -1. Suppose 5*j - n*g + 2*g - 110 = 0, -5*j + 140 = 3*g. Solve 0*h = -5*h + j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182308 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -2 + 60\/(-15) - (-3 - (-125)\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggo. What is prob of sequence gog?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 9\/8, 3, -9\/7?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1384 or 1385?\nAnswer: 1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.9634mg to grams.\nAnswer: 0.2759634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -349775, -699386, -1048997, -1398608, -1748219, -2097830?\n\"Answer: -349611*p - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216*z**3 - 257*z**3 + 83*z**3 + (0 + 5 - 3)*(-z**3 - 2*z**3 + 7*z**3).\nAnswer: -382*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46 and -0.07.\nAnswer: 45.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10284 = 5*g + 1184, 0 = -3*g + 6. Let r = -2440 + t. Is 31 a factor of (r\/(-35))\/(4\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/89184?\nAnswer: -5\/89184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -2 (c) 1 (d) -62 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a century in months?\nAnswer: 18480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.354 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 15, 0*g - 17 = -g - 5*d. Solve -2*s - g = -5*s - 4*y, s - 3*y + 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -11. Let w be ((-8)\/12)\/(c\/(-12)). Solve -8 = -g - w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m = -1777 - 1764 + 3541 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -295 - -301.89. Let u = -0.11 - q. Let b = -7.54 + 8.04. What is the second smallest value in u, b, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8892410632.\nAnswer: 2, 7, 22684721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-3))\/15)\/((-2)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4. Suppose 2*t = 4*v + 16, v - 4*v = 5*t - 14. Let d(y) = -y - 1. Calculate t*d(r) - a(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*z**5 + 4*z**4 + 2*z + 11.\nAnswer: -120*z**3 + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 + 152*r**2 - 11552*r + 877952\/3.\nAnswer: -2*(r - 76)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 255, 382, 527, 696, 895?\nAnswer: 1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4825763.\nAnswer: 4825763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 20. Let i = -11.3 + f. Which is the nearest to -1\/5? (a) -2\/11 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5724*u**4 + 33*u**3*w - 13*u**2*w + 9*u**2 + u*w - 34*u - 2 wrt u.\nAnswer: 137376*u + 198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 116, -51, -5, 5.\nAnswer: -51, -5, -1, 1, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/80*4)\/(761\/(-3044)))\/((-70)\/1)\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -1\/62 (c) -6 (d) -5 (e) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 - 2*i - 14. Let t be m(-8). Suppose t*h - 16 + 10 = 0. Solve f - h*c + 9 = -0*c, 5*f + 4*c - 31 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116578194 is divided by 1581?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 19. Let t(d) be the second derivative of d**4\/12 - 4*d**3\/3 - 2*d**2 + d + 23. What is t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601095235.\nAnswer: 5, 13, 9247619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.84027.\nAnswer: 0.34027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1355*154.\nAnswer: -208670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 2, h: 5, t: 8, r: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 2. Let z be f(-3). Let r(n) = n**3 + 6*n**2 + 5*n + 1. Let q be r(z). List the prime factors of (75\/6)\/(q\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1093*v**3 + v**2 + 192*v?\nAnswer: -6558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3693*j**2 - 3684*j**2 + 39 - 115 + 34 + 42.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bdd12d7 + -4?\nAnswer: 1bdd12d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -740 + 773. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/6 - 3*f**2\/2 + 7*f\/3 + 4.\nAnswer: (f - 6)*(f - 4)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 16) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1123 = -5714. Suppose 4*i - f = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d**3*w - 408*d**3 - 3*d**2*w + d - 2*w - 2 wrt d?\nAnswer: 42*w - 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -67?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72800116 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 1253672*i**4 - 130974039072*i**3 + 4560996277794520*i**2 + 4561127253087268*i = 0.\nAnswer: -1, 0, 104473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1895 is divided by 118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363991*j**5 + 101992*j - 1 wrt j.\nAnswer: -7279820*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*v + 278 - 98, 0 = 5*v + 5*o - 300. Suppose -v = -4*j - 0*j. Calculate the remainder when -20 - -85 - (9 + 3) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let t(m) = 96*m + 39. Let v(a) = 20*a. Let x(b) = t(b) - 5*v(b). Determine -6*d(j) - x(j).\nAnswer: -2*j - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 240 = -2*w. Calculate the greatest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, b: 1}. Give prob of picking 1 b and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425593, -850859, -1276125, -1701391?\nAnswer: -2126657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -2 - -11) + 11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/18 and -43\/429406.\nAnswer: 3864654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 790 = 145. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.606914, 2, -0.2 in decreasing order.\nAnswer: 2, -0.2, -3.606914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 + 9 + 10)*(158*v**2 + 7*v**2 + 75*v**2) as x + w*v + l*v**2 and give l.\nAnswer: 13440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 45436?\nAnswer: 7\/22718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67733726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 66.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 e when four letters picked without replacement from ccceeeeeenccececepe?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**8*(f*f**(2\/9))\/f*f**11\/f*(f\/f**8)\/f assuming f is positive.\nAnswer: f**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*3))**2 + -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0435656 to 4 decimal places.\nAnswer: -0.0436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*o = 16, -2*c = 10*o - 6*o + 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001011 + 101011111100100?\nAnswer: 101011010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*s)*(3 - 2 + 0) - 13*s + s + s)*(3*s**4 - 3*s**4 + 3*s**4).\nAnswer: -39*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/132*990\/275. Let p be (-7)\/5 - 2\/(-5). Are u and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 505, 755?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 23*r**2 - 24 in the form b*r**2 + y + p*r and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:52 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -68*d**2 + 20*d - 2. Let l(w) = -2*w. Calculate 10*l(b) + v(b).\nAnswer: -68*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2105 (base 10) to base 9\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.85274 take away 0.001?\nAnswer: -6.85374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720 - 69 = -46*r - 7 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:27 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3 + 4636273*m**2\/6 - 193178*m\/3 = 0.\nAnswer: 0, 1\/12, 386356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**2*r - b**2 - 12*b*r - 111*b + 54*r - 7 wrt r?\nAnswer: -3*b**2 - 12*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*b - 389 = 0, 2*q + 2*q + 2*b = 306. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.037 - -3.237. Let i = h + -4.2. Let p = i + 0.5. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60047 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -172*b**2 - 145*b - 1166. Let v be o(-8). Is v greater than -11016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 22122?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1569*y - 3 + 3 + 2*y**2 + 270*y.\nAnswer: 2*y**2 + 1839*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9620 divided by -9620.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1096493, 2192985, 3289477, 4385969, 5482461?\n\"Answer: 1096492*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose 0 = -k*h + h. Suppose -3*x + 27 = -h*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.99 + 0.01. What is the closest to -0.1 in m, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 12 = 9*g. Suppose 5*s + 18 = 3*s + g*n, -8 = 4*s + 3*n. Put -0.1, 0.14, s in increasing order.\nAnswer: s, -0.1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 17\/(-13) - (-1062370)\/(-1668420)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 1255\/7 (c) 54\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 37*m**2 + 17*m - 89. Determine g(-19).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6370 and 630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3 + 3)*(-1 + 2 + 0) - 42*o + 13*o - 26*o - 3*o - 4 + 3 + o - 4*o + 2*o + 0*o.\nAnswer: -57*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 679194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-9)\/6)*-2. Suppose q + 4*q + f*g - 32 = 0, g = -3*q + 16. Does 7 divide ((-7)\/(-1))\/(q\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*x = 58*x + 1055 - 3758. What is the closest to x in -7, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/(v**9\/v)*(v*v*v\/((v\/(v**(-2\/9)\/v))\/v)*v*v)**(-7\/2) assuming v is positive.\nAnswer: v**(-245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4)*(-26 - (-8786)\/345). Sort 1\/9, 0, p, 5, -3 in descending order.\nAnswer: 5, 1\/9, 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 45*p\/4 + 27.\nAnswer: 3*(p - 12)*(p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4269 - -4306 - (3 + -2)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*h + 23, 0 = 4*h - 3*u - 9 + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaacc. What is prob of picking 1 a and 2 c?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - v + 1 = -0, 13 = -h - 3*v. Suppose 5*t + 24 = t. Calculate the remainder when (t\/(-7))\/(h\/(-112)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-45)\/2*6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37342, -37352, -37368, -37390?\nAnswer: -37418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095601109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:59 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 37084*g\/5 + 171902882\/5.\nAnswer: 2*(g - 9271)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/6, 3, 2\/11, -81?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 3 (c) 2\/5 (d) 4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 30*l + 13. Give i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - j - 3*j + 55 = 0, -4*j = -5*p + 49. What is the remainder when 61 is divided by 4*(p\/4 - -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l - 5*w = -266, 2*l - w + 282 = 0. Let j = -92 - l. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/1110)\/(-12)*30\/6?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*a + 32, 5*h - 96 = -6*a + 7*a. Suppose l - 4 = 16. What is the greatest common factor of h and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*-3*sqrt(70)\/(3*sqrt(490) - sqrt(490)) + -1))**2.\nAnswer: -48*sqrt(7)\/7 + 148\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102.5 - -103. Let f = -2.2 + 2. Let n = -0.1 + f. Which is the closest to 3? (a) n (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*i = -33 - 3, 12 = a + 3*i. Let z(w) be the third derivative of -w**4\/12 + 2*w**3 + 22*w**2. Calculate z(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 21*n - 678. Let k be h(34). Solve k*f = 80 + 100 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -78*w**2 + 1366*w - 5965. Give i(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdwlyf. Give prob of sequence lf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0305276 months in decades?\nAnswer: 0.00858773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -4.1 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24122 - -1303?\nAnswer: -22516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(684) + -1 + -2*2*sqrt(684) + sqrt(684))*2)**2.\nAnswer: 5184*sqrt(19) + 99792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.005 (b) -2\/3 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 - 14*w**3 - 11*w**2 + 420*w + 900 = 0. Calculate w.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -345, -342, -337, -330?\n\"Answer: h**2 - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -199, -303, -409, -517?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 77. Let d = 12 + -13. Which is the nearest to x? (a) -0.2 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*v**4 + 7*d**3*v + 39245339*d*v**4 - 1006642*d*v**2 wrt v?\nAnswer: -24*d**3*v + 941888136*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 427, 655, 871, 1069, 1243, 1387, 1495, 1561?\n\"Answer: -j**3 + 235*j + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 72.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3712 - 3707. Let i(z) = 20*z**3 + 7*z**2 + 13. Let p(s) = -13*s**3 - 5*s**2 - 9. Give h*i(f) + 7*p(f).\nAnswer: 9*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 27146690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*k = 9, -3*q - 2*k + 3 = 2. Let p(a) = -a**3 - 2*a**2 + 11*a - 8. Give p(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:28 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1408 and -109\/224.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1343812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32 - 32) + -1 + 0. Let q = -0.99 + -0.01. Let k = q - -0.97. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-167349)\/(-613)*4\/(-14).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 287964749 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 next in 442, 445, 448?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, j: 1}. What is prob of picking 1 j and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let p(r) = -3*r**j - 2*r**2 + 4*r**2. Let z(o) be the first derivative of -o**3\/3 - 17. What is z(p(i))?\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741950179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36837569 or 73675137\/2?\nAnswer: 36837569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 2046 + 2139 = 0. Suppose 0 = 6*s - 9*s + d. Let l = 17 + s. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 3\/7, -2\/11, -11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.90048ml to litres.\nAnswer: 0.09990048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9277, -18540, -27803, -37066, -46329, -55592?\nAnswer: -64855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 282249?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86607 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3711 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5880 + -5765. Solve 20*h + 3*h + f = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218945000 rounded to the nearest 1000000?\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and -40\/243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3465\/(-28))\/(-33)*2\/25?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -653, -3, -11.33, -1, 1\/6 in decreasing order.\nAnswer: 1\/6, -1, -3, -11.33, -653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3899, 7724, 11549?\nAnswer: 15374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8740 and 553840?\nAnswer: 10522960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 63*l + 55443 = 61*l, 2*r - l = 22177. Calculate the greatest common divisor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1\/(-3) + 1). Suppose 3*z + a*h - 30 = 0, -3*z - z + 45 = 5*h. Solve 0 = -3*m + z*m + 3*q - 6, m - 5*q = -23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in 4, -0.1, -1\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -275059, -550148, -825237, -1100326?\n\"Answer: -275089*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**9\/15120 + t**5\/120 + t**4\/6 + 3*t. Let p(r) be the third derivative of c(r). Find the first derivative of p(a) wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3126 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185\/5276 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3378.\nAnswer: 1\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/656)\/((-38)\/(-16))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p + 120456 - 119864 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 20. Suppose 0 = 5*h - r*b - 405, -5*h + 2*b = b - 413. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from ktxxkkkttktettxt?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29736311 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468 - -1230. Suppose -k - 5*b + a = 0, -5*k - b - 2*b = -8380. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - s**2 + 1 - 1)*(11 - 4 + 4) in the form v*s + a*s**2 + m and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a*a)\/(a\/a**(-5)))**(30\/13) assuming a is positive.\nAnswer: a**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13964 at least as big as 13953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 12719?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35658.\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-13))\/(362\/25883)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h**2 + 13*h**2 + 24 + h**2)*(2*h - h**2 - 2*h).\nAnswer: -5*h**4 - 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 144\/5 - 4632\/5*q + 58782\/5*q**3 + 20402\/5*q**4 + 33604\/5*q**2 = 0. Calculate q.\nAnswer: -2, -1, 6\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -39*q + 603. Let g be x(15). Solve 0 = 5*h + 4*b - 3, 21*h - 2*b = g*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:11 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350050533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:34 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:06 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by -1929\nAnswer: -53\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 2*z + 1. Let w(m) = 6*m**2 - 5*m**2 - 1 - 2*m**2. Let o(i) = -i**3 - 69*i**2 + 4*i + 277. Let u be o(-69). Give u*f(j) + 3*w(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37340 and 1462.\nAnswer: 38802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11418 = -359*m + 289 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let w = 9.3 + -10. Let q = w + m. Which is the closest to 0.1? (a) -1 (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 2*z - 9*z**2 - z**3 + z - 5. Let i be w(-10). Suppose i*g = -v + 4*v + 15, 0 = -2*v - g - 10. What is the nearest to -1\/4 in -2, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189122 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-10)\/(-6))*-9. Suppose -4*p - r*i = 12, -p + 3*i - 5 = 13. Let s(v) = -v**3 - 7*v**2 - 7*v - 3. Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656249 is divided by 72003?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 36*w**2 - 16. Let v be f(18). Let y(a) = a + 25. Let c be y(v). Let r = c - 7. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 602928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 17. Suppose u - r = -u. Factor 57*v**2 - 7*v + 8 - v**3 - 24*v**2 - u*v - 27*v**2.\nAnswer: -(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = 3. Let y be 13\/(-1) - (-2 - 0). Is y*(-2 + o + -2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2810 and 69\/562.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30663 and 56466.\nAnswer: 192379662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 30) + 1 + -6 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 9:18 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0309 + -536.0309. Let r = s - -346. Let m = r + 189.803. Round m to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:23 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6722843406.\nAnswer: 2, 3, 53, 101, 209317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31292 is divided by 3040?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 58 - 58)*(0 + 30*g**2 + 0) - 2*g + 2*g**3 + 2*g.\nAnswer: -88*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12537)\/(-16119) + 56\/63.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-183)\/(-9) + 4\/(-12). Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 67.22071s?\nAnswer: 67220.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-2*4)\/sqrt(6).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(288))**2 - (-5*((-1 + sqrt(288))**2 + sqrt(288)) + sqrt(288)).\nAnswer: -72*sqrt(2) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:50 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3990, 16196, 36600, 65202, 102002, 147000, 200196?\nAnswer: 261590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28501 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41533*540\nAnswer: -22427820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*z + 1, -4*g - 4 = -5*z + z. Suppose -38 = v - 2*v + 2*h, -h - 2 = z. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*y - 93*y + 390 = 0. Put 0.03, 3, y in decreasing order.\nAnswer: 3, 0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let y be (1\/3)\/(f\/12). Solve 5*p = -3*a + 25, p - y*a = -5*a + 17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 26342763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5069 and 174.\nAnswer: 882006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -69?\nAnswer: 22\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12 - x**2 - 28*x - 8 + 6*x + 9*x + 7*x. Determine z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 65*o - 14*o + 5*o.\nAnswer: -80*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*p - 48. Let d(g) = g**2 - 7*g - 6. Let s be d(p). Suppose 0 = x + 2*b - 84, -s*x + 6*x + b = 315. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-5)\/(-7 + 2). Let r(x) be the second derivative of 1\/36*x**4 + 1\/6*x**2 + 1\/9*x**3 + s - x. Find c, given that r(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 57. Suppose q*o + 0 + 15 = 3*t, -3*t - 5*o = 9. Let b(j) = -j**3 - j**2 + 2*j + 1. Determine b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.6 + -14. Let p = j - -0.6. Let q = 1 + p. Which is the closest to 0.1? (a) -1 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**1*r)**(-11)*(r\/(r*r*(r*(r**2\/r)\/r*r)\/r))\/r**2)**(5\/4))**15 assuming r is positive.\nAnswer: r**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 5. Suppose 0*z + q = -4*z + 19, -14 = -2*z - 2*q. Calculate the least common multiple of z and x(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 200.\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 2333*y + 188.\nAnswer: 2333*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 1. Let h(t) = -13*t + 5. Determine 4*d(u) - h(u).\nAnswer: 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(13\/((-26)\/(-12)))\/(-2). Calculate the remainder when 43 is divided by -13 + 38 + 6 + v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816019?\nAnswer: 816019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 65964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35469.54 + 0.09106171\nAnswer: -35469.44893829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 0 + 16*y**2 + 6 - 16*y + 14 - y**3. Let n be g(15). Suppose 0*d - d - 94002 = -2*u, -u + 47010 = -n*d. Round u to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/292 and -65\/15212.\nAnswer: 1110476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0, -10, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 958, 2022, 3086, 4150?\n\"Answer: 1064*b - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f - 9. Let n be ((1 - 1) + 0)\/1 - -2. Let r(a) = -3*a - 2. Give n*m(g) - 9*r(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 4*g**2 + 4 - 4.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16767 and 14904.\nAnswer: 134136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 7*j - 8*j. Let z = j - 34. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1434, 2586, 3728, 4854, 5958, 7034?\n\"Answer: -r**3 + r**2 + 1156*r + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 975148 + -594239. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.041 in 2, -0.4, 5, -0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let i = -2 - h. Let l(k) = -14*k - 2. Calculate the remainder when l(i) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 3. Let c(p) = -9*p**2 - 2*p - 5. Determine -4*c(b) - 7*o(b).\nAnswer: b**2 + 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - w + 15 = -6*w, -15 = -f + 5*w. Is f less than 1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/((v\/(v**(1\/5)\/v))\/v)))**(-12)*(v**6\/v)\/(((v**(10\/7)\/v*v*v)\/v*v)\/v*v) assuming v is positive.\nAnswer: v**(-666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((96\/(-15))\/(-8) + -2)*-5. Solve -4*q + 5*d + b = 1, -15 = -2*q + 5*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let i be ((-8)\/(-6))\/((-10)\/(-15)). Let f(m) be the first derivative of 0*m - 2 - 3\/2*m**i. Calculate a(f(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 2*n + 2*n)*(n**2 - n**2 - 2*n**2) - 3 - n**2 + 55*n - 60*n + 3*n - 22*n**3 as d + g*n**2 + a*n**3 + k*n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 1 - 2*z - 227*z**3 + 5*z**4 + 5*z**4 + 3*z - 9*z**4 to t*z**3 + q*z + o*z**4 + w + i*z**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1371563808 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 3264563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u**3 - u)*(-1259*u + 1259*u - 88*u**2) + 5*u**5 - 5*u**5 + 4*u**5 - 591*u**3 + 591*u**3 - 33*u**5.\nAnswer: 147*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 34\/489547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592438 and 498806?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 5:01 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 9*o**2 - 456*o + 456*o in the form f*o**3 + v + a*o + c*o**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.268071m to millimeters.\nAnswer: 268.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 0)*(140*n**4 - 42*n**2 + 42*n**2) to j*n**4 + m*n**3 + b*n + d*n**2 + t and give j.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**5 + 3144*n**4 - 83676*n**3 + 625616*n**2 - 1012800*n + 467712 = 0.\nAnswer: -812, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -545 + 361. Let j = -179 - y. Solve -3*l = 5*f - 5*l, -j*l = 4*f + 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445 by -89.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(30)\/(-5*sqrt(50)\/sqrt(5)) - (sqrt(240)*5)\/(sqrt(5) + sqrt(15)\/sqrt(3)*-5))**2.\nAnswer: 1728\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1092)\/(-4550))\/(24\/150)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 794\/35, -4, 6\/7, -17?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 1241976.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17282 + -17279. Find v, given that -2*v**2 - b*v**3 + 1\/2*v**4 + 0 + 1\/2*v**5 + 4*v = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-18)*18\/(-5). Let k(v) = 3*v**2 + 3*v - 6. Let m(o) = 20*o**2 + 17*o - 36. Let s(i) = d*m(i) - 39*k(i). Factor s(l).\nAnswer: 3*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17920 and 13272?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let q(b) = 18206196*b - 2. Determine q(v(d)).\nAnswer: 18206196*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c8f5 + -2c9?\nAnswer: 1c62c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*h = -64, 5*h = -5*t + 9*h - 70. Let g be (-14)\/6 - 6\/t. Let c = g - -10. Solve k + c = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 33*p + 3. Let u(i) = -20*i + 126. Calculate u(d(c)).\nAnswer: -660*c + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 93.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -504, -762, -1024, -1290, -1560?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213367.\nAnswer: 3, 13, 19, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119098 and 11186?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*q + 10, 2*o - 3*q - 2*q = 18. Suppose 4*x - o = 4*b, 2*x = 3*b + 2 + 1. Suppose -4*w + 564 = -x*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*y**2 - b*y + 240111*b - 11093625*y**2 - y wrt y?\nAnswer: -6*b - 22187250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21978456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55661 (base 12) in base 7?\nAnswer: -651124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 33. Is (11\/((-198)\/(-636)))\/(p\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 373, 0, -0.11, 0.5, 64, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/11 in -2\/5, 0.6, 5, -0.11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/157)\/r**(-2\/19) assuming r is positive.\nAnswer: r**(276\/2983)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 310296509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 367367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*m - 185 = 0, -48 = -3*o + 4*m + 145. Suppose -2*k - 4*f + 3*f = -80, -5*k = 5*f - 205. Let p = o - k. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24612858.\nAnswer: 2, 3, 179, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**3*x*x*x))**(-1\/83)*(x\/(x**8\/x))\/x**(2\/13) assuming x is positive.\nAnswer: x**(-6627\/1079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105423 rounded to the nearest 1000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -486*i**3 - 7*i + 3. Let h(d) = -4372*d**3 - 60*d + 26. Calculate 3*h(q) - 26*t(q).\nAnswer: -480*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -443?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((3 + 3)\/6) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(1 - 3) - 0\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:09 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3846 - -3?\nAnswer: -3843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlaa when four letters picked without replacement from {l: 2, h: 1, q: 3, k: 3, s: 2, a: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a0c + -a9?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 54*a**2 - 39*a - 732. Calculate the remainder when 657 is divided by u(53).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from {i: 5, x: 2, m: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -906 + 906.0001885. What is s rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 10) to base 15.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21632\/1047 - -2\/349. Which is smaller: t or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from issymmmimymmmeimml. Give prob of picking 1 y, 2 s, and 1 l.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2709476096, 2709476097, 2709476098, 2709476099, 2709476100, 2709476101?\nAnswer: 2709476102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4\/7, -1\/2, -5\/2, -5, 30.7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/6 - 2*o**3\/3 - 3*o**2. What are the prime factors of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -71 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6833)\/(-6))\/((-56)\/(-672))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 160 + 170 - 28. Let v be t(0). Suppose 5*p = 123 + v. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**23\/c*c)\/c)\/c)\/c**26 assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 40541.\nAnswer: 40541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f - 61. Give x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -6. Suppose 0 = -p*w + 4*w + 14. Suppose -w*f = -2*f - 95. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-12492)\/840 + (-1)\/(-14).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -x + 44, -h - 2*x + 4 + 4 = 0. Let f be 13\/(78\/(-15))*(-64)\/10. Let p = h - f. Solve p*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - 28*u - 6. Let p be k(5). Solve p = -8*w - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - 13. Let v be -2*(s\/(-6))\/5. Let k be 110\/(-60) + 2\/(-12). Sort -5, k, v in ascending order.\nAnswer: -5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**7)\/((w**6*w)\/w*w*w))\/(w**(-1)\/w*w**(-3\/5)))\/((w*w**0)**(-37))**(-30) assuming w is positive.\nAnswer: w**(-5532\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4615 - 628 + 4273 + 23880)*(6*f**3 - 2*f**3 - 2*f**3).\nAnswer: 64280*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -436061 (base 9) in base 2?\nAnswer: -111111100011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 24 = 0. Let v(m) = -m**3 - 8*m**2 + 3*m + 18. Let j be v(-8). List the prime factors of -6*x\/j*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 448*j + 3646. Calculate the remainder when 663 is divided by w(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3)*1 + sqrt(3))**2 + 2*sqrt(3) + 1 + -5.\nAnswer: 24 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*sqrt(2448).\nAnswer: 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7506 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1582, -1559, -1512, -1429, -1298, -1107, -844?\n\"Answer: 2*x**3 + 9*x - 1593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -11*q**4\/4 + 11*q - 2. Let n(s) = s. What is c(n(h))?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/30 - 56*z**5\/15 - 490*z**4\/3 - 10976*z**3\/3 + 1473*z**2. Solve d(k) = 0.\nAnswer: -28, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3246*u + 1525*u + 9941*u + 5720*u.\nAnswer: 20432*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*h + 27. Let z(l) = 3*l**2 - 2*l. Let g(d) = 7*d**2 - 5*d. Let q(s) = h*g(s) - 5*z(s). Let w(u) = -10*u**2. Give q(w(a)).\nAnswer: -100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - -49. Suppose 6*n + c = 360. Calculate the remainder when n is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 133*o**2 - 333*o + 7410. What is a(-130)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*b - 28*b - 45*b - 245*b.\nAnswer: -456*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: (-9 + (3 - -6) - 1) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d*o*s**3*v + 2*d*o*s**2 - 7*d*o*s*v**2 - 851*d*s**3*v**3 - 10*d*s**2*v**2 - 2*o*s**2*v + 19*o*s*v**3 wrt v.\nAnswer: -5106*d*s**3 + 114*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4474, -35706, -120484, -285580, -557766?\nAnswer: -963814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 2*j**2 + j - 2. Suppose -2*f + 3*f + 196 = 0. Let i = f - -230. What is the remainder when i is divided by u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 25*w + 3. Let d(t) = -t + 1. Let v be (-10)\/(-4)*(-20)\/25. Let x(o) = v*d(o) - b(o). Is x(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 35*f - 575. Determine b(2).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 44*p - 81\/2*p**2 + 0 - 73\/20*p**5 + 0*p**4 + 1\/6*p**3. Find the second derivative of f(j) wrt j.\nAnswer: -438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 18. Suppose 5*x + 5*i - 383 = 2*i, 0 = b*x - i - 379. What is the remainder when x is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:39 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n + 2*n + 30*n + 29*n - 120*n + 33*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -525\/11 - -8235\/176. Find the common denominator of 71\/22 and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 - 624*t - 10. Let l(z) = 2*z**2 - 208*z - 3. Give 10*l(g) - 3*s(g).\nAnswer: 2*g**2 - 208*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 37 - (-33 + 6 + 18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9944 + -1.1944. Let h = 0 + 8. Which is the closest to -0.1? (a) h (b) z (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938 + 938 - 92529*j + 185066*j - 92538*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 30*h = -1020. Let g be ((-15)\/h)\/((-3)\/(-4)). Sort -1\/9, 2\/7, 1\/8, g in decreasing order.\nAnswer: 2\/7, 1\/8, -1\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12118450 equal to -12118459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3 + 164*z**2 - 3192*z - 7056 = 0.\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 942.3 + -893.26. What is q rounded to zero dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31068, -2183, -5\/2 in decreasing order.\nAnswer: -0.31068, -5\/2, -2183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -42*z**2 + 20*z**2 + 1038*z**3 + 3*z - 2 + 22*z**2. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 8*d**4 - 96*d**3 + 128*d**2 + 512*d = 0 for d.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -4*k**3\/3 + 3*k**2\/2 - 3*k - 415. Let v = 28 - 27. Let h = v + -4. Let i(s) = 7*s**2 - 6*s + 5. What is h*i(g) - 5*q(g)?\nAnswer: -g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**4 - 6 + 0 - v + 7 + 15*v**3 + 7*v**4 in the form a*v + p*v**4 + b + m*v**3 + j*v**2 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -641, 4, -5\/3?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -20, -666, 2 in ascending order.\nAnswer: -666, -20, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5289001*o**3 + 2*o**2 - 180*o - 202.\nAnswer: -31734006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v - 18. What is the least common multiple of s(-6) and 1 - -46*((-9)\/(-6) + -1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 3:08 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 24\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.131 - -11.131. Let p = -0.15 + 10.15. Let d = p - o. Which is bigger: d or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-74)*(2664\/90)\/37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21061 is divided by 1411?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 5*d**2 - 2. Let q(j) = -237*j**3 + 10*j**2 - 4*j + 48. Let w(x) = -2*f(x) - q(x). What is the second derivative of w(g) wrt g?\nAnswer: 1410*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h - 3. Let d be p(2). Determine i, given that d*i + 22 - i - 10 + 3*i**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 13*r + 4. Let c be l(-10). Suppose c = d + 4*t, 3*t - t = -2*d + 38. Suppose 0 = 3*s - 62 - 61. What is the remainder when s is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 59316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 20 - 16*l**2 + 38*l**2 - 19*l**2. Suppose 0 = -7*h + 3*h - a + 18, -4*a = -4*h + 28. Does 4 divide x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/8*(-7 + 3). Let q = -1.2 - 5.8. Let l = q - -8. Which is the closest to l? (a) 0 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*w = 29178, 3*n + 3808 = 3*w - 13694. Let b = -17906\/3 - n. Is b equal to -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 33, -38, 2, 5.\nAnswer: -38, 2, 4, 5, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4648277090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3588*i - 3 + 223*i + 3 - 645*i.\nAnswer: -4010*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 13*h - 42. Let v be p(6). Let i = -19843\/909 - -197\/9. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 9*s**2 + 10*s**2)*(-2*s**2 + s**2 + 0*s**2 + (4 + 1 - 3)*(4*s - 4*s - 2*s**2) - 2*s**2 + s**2 + 2*s**2).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18682?\nAnswer: 2, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -4*h, 5*i - 4 = 4*h - 2*h. Solve i = 4*u - 24 + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by -61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -865472 + -1273428.869?\nAnswer: -2138900.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 163872655 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*p - 130*p**2 + 25687 - 25687 wrt p?\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202550 (base 6) to base 15\nAnswer: -4be9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -36. Calculate the lowest common multiple of p and 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047803 is divided by 43570?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 86. Calculate o(65).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 12. Let p be q(0). Suppose p = 2*t - 10. What is the greatest common factor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2487816256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48 times 4\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4042292\/7 != -577471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let b be (0 - -1)*(-6 - -2). Let z be (-2)\/(-3*b\/(-18)). Let r be m(z). Solve -r = -u + 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 20*c**3 + c**2 - 20*c = 0. Calculate c.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.1. Let v = 8.357 - 0.057. Let d = v + -8. What is the nearest to -0.1 in z, 0.5, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 10:43 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 4*v - 4*v to a*v + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -31. Let j(f) = 6*f**3 - f**2 - f - 1. What is j(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1026*m**5 + 18*m**4 + 6*m**3 + 31*m**2 - 24*m - 107 wrt m.\nAnswer: -61560*m**2 + 432*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*i + 93*i + 73*i = -2835. What is the highest common factor of i and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/24*117\/(-780).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 8, g: 4, q: 2}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 7*v)*(2*v**3 + 4*v - 4*v) + v**4 + 0*v**4 - 4*v**4 + (-4 + 6 - 3)*(-7*v**4 - 11*v**3 + 11*v**3).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = 4*i, 3*i + b - 4*b + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1005 = -8*m. Let a = 12 - 14. What is the units digit of m\/(-6) - 1\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 8) to base 5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/20, 1, -3\/4, -3, 492, 5 in decreasing order.\nAnswer: 492, 5, 1, -3\/20, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 26*k - 561 = 459 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 - 6) + 0)\/((-12)\/304). Let i = r + -56. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 3) + 5)\/(10\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o + o. Suppose 0 = -o*s + 13 + 71. Is (-21)\/s + (-1262)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - x - 3120005 = -0*x, 5199975 = -5*v + 5*x. Round v to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86833272 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 4 (c) -3\/5 (d) 4\/3 (e) 16\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -2*m - 24, 0 = -4*l - 3*m + 73. Calculate the greatest common factor of 95 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*n = 42, 0 = -7*x - 0*n + 5*n - 46 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*x + 30, -4*x + x = 3*z - 30. Suppose 4*c + 110 - x = 3*d, 5*c + 125 = 3*d. Let p = c - -47. Calculate the highest common divisor of 198 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q + 1\/6*q**4 - 1\/45*q**5 - 1\/2*q**3 + q**2 + 0. Solve f(g) = 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**5)\/w**4)**(22\/3)\/(w**2*w*w**(1\/4))**1 assuming w is positive.\nAnswer: w**(-743\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-350)*-35*(-6)\/270.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/56780102 and 139\/18.\nAnswer: 511020918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.10993 - 0.09007. What is the fifth biggest value in x, -0.3, -0.17, -3, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**2 - 2105*y - 2220*y**3 + 2105*y + 64 + 73 + 72 wrt y.\nAnswer: -13320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3474*w**2 - 3473*w**2 + 10393*w**2 - 3445*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) - -5*(sqrt(192) + 4 + sqrt(192) + sqrt(192)).\nAnswer: 20 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4394.17091 to the nearest 10.\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 7 + 18. Suppose 5*o - 5 = 6*o, 0 = 5*p - d*o - 30. Let g be 1 + p + (7\/10 - 3). Is g >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 + 5*u**3 - 14*u**3 - 2*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/9)\/(s*s**(4\/9)))\/(s*s*s**(-1))**(-1\/29) assuming s is positive.\nAnswer: s**(-113\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 28199*x + 21 + 28197*x - 90.\nAnswer: -2*x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5266.573 millennia in decades?\nAnswer: 526657.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3548519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 1\/2, 0.03, -52, 8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*u**2 + 22884*o**2*u - 31*o*u - 52*o - 4*u**2 wrt o?\nAnswer: 4*u**2 + 45768*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 5*t**2 + 122.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 1. Let m be ((-16)\/6)\/(34\/(-51)). Suppose -m*a + 88 - p = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -15*r**4\/4 - 15*r**2\/2 + 11. Find the second derivative of n(s) wrt s.\nAnswer: -90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**2 - 9*m - 14. Let g(f) = -4*f**2 + 3*f + 5. What is -17*g(a) - 6*r(a)?\nAnswer: -10*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 8. Let c be n(-7). Let s = c - 12. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let h = q - 2.9. Sort h, 2\/3, 1\/3 in ascending order.\nAnswer: h, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 j when four letters picked without replacement from {j: 7, i: 9, m: 2}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -446294 divided by -223147\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2*o - 5)*(-17 + 25 + 19)*(-1 + 16 - 1) to the form p + f*o and give f.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 1)*-5 + sqrt(425) + (sqrt(425) - (-4 + sqrt(425)))*-4)**2 + 4.\nAnswer: 840*sqrt(17) + 7245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + v**3 - v**3 + (7*v**3 + 25*v**3 + 6*v**3)*(2*v**2 + 0 + 0) + 2*v**3 - 2*v**3 - 3*v**5.\nAnswer: 71*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1748)\/(-57))\/(2 + 4\/(-3)). What is the highest common factor of t and 736?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.018 - -0.552. Let h = -0.04 - v. Round h to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from rkzzkkzzkkz.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*a + 73*a - 16*a)*(2*a - 2*a - 2*a).\nAnswer: -170*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 5. What is the remainder when b(3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from ffwdafo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -6521, 4, -1, -3 in descending order.\nAnswer: 4, 2, 1, -1, -3, -6521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -5. Let y = 16 - f. Which is smaller: 10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 9:54 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p + 2. Suppose 5*x - 24 = 4*f + 43, -3*x - 2*f = -27. Let k(d) = x + 17 + 3 - 30 - 5*d. Determine 3*i(r) - 4*k(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - -1.18. Suppose -4*o = -2*o. Which is the closest to s? (a) 0.15 (b) o (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**8\/168 - 41*l**7\/210 + l**4\/24 + 70*l**3\/3 + 7*l**2 - 3. Find the second derivative of s(d) wrt d.\nAnswer: 40*d**3 - 492*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 92.4. What is the smallest value in 0.11, f, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272070 by -9.\nAnswer: -30230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2505 (base 8) to base 15\nAnswer: -5ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 1:28 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 3075\/2 - (-762)\/(-127))*-6?\nAnswer: 3, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -530, -234, 746, 2638?\nAnswer: 5670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 7*p - 4. Let u be h(-6). Suppose -4*a = -u*a - 88. What is the units digit of 2\/(-6) - a\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -572 or -589?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, -5, -406135 in increasing order.\nAnswer: -406135, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from xxxvvfsxsvxvvxxp.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 10. Let l(y) = y - 1. Let v(u) = l(u) - q(u). What is the derivative of v(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363 + 547. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 4\/(-2) - 280. Let w be (30\/(-9))\/(2\/m). What is the units digit of 4\/(-14) - w\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -866 - -870 - (6 + -3 - (1 + 32))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 5, -7, -23?\n\"Answer: -2*v**2 - 2*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4622*d = 4631*d - 9248*d - 2*w + 8, -8*w - 48 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4031 + -4032. Which is bigger: z or 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1644.5217 months?\nAnswer: 0.137043475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 + (-82991)\/(-7) - 10\/(-141 - -71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2 - 14*u + 40 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 + f**2)*(-1 - 133 + 387 + 925).\nAnswer: 1178*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/5 - 138372*x**2 - 29910317472*x\/5 + 568545820864\/5.\nAnswer: -4*(x - 19)*(x + 86492)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/30 - 5*s**2. Let f(n) = -1. Let h(k) = 13*k**2 - 1. Let w = -221 - -220. Let i(m) = w*h(m) + f(m). Calculate r(i(l)).\nAnswer: 338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose 16 = 4*m - 56. Let q be 0 + 2*(-2)\/m. Put q, 2\/3, w in increasing order.\nAnswer: q, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27406 and -3488.\nAnswer: 23918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.363, -9, -20, -0.129, -3 in descending order.\nAnswer: 0.363, -0.129, -3, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 4:13 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025538561?\nAnswer: 3, 251, 367, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.386 - -0.086. Let t = d - -1.3. What is the second smallest value in t, 2, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 410594*o**6 + 2*o**2 - 26745*o - 4 wrt o.\nAnswer: 49271280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13813242, -13813246, -13813250, -13813254?\nAnswer: -13813258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = -4*q, 3*q - 4 = p + 1. Solve q = -5*y - 0*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*h = 1519244 - 1523894 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(((-58)\/6786)\/((-6)\/(-27))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 9 = z, -9*z - 5*z - 6 = -13*h - 8*h - 97 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803 and 17825687.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336277, 336268, 336255, 336238, 336217?\nAnswer: 336192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*o + 27, -3*z + 41*o - 36*o + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914296?\nAnswer: 2, 239287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8615*f**2 + 6682*f wrt f?\nAnswer: 17230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 2, g: 10, v: 2, e: 1}. What is prob of picking 2 h and 1 e?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p + 1. Let t(a) = -1. Determine -n(o) + 3*t(o).\nAnswer: 5*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 divided by 142338.\nAnswer: -125\/71169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/4679965 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgqqvfvkkgkvg. What is prob of sequence gvh?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**2 - 61\/3*q**3 - 2*q + 64. Find the second derivative of j(y) wrt y.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*c**4*g + 38*c**4 - c**3*g + c**2*g - c*g + 3096*g wrt c.\nAnswer: -4008*c*g + 912*c - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321122 - 103?\nAnswer: -1321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005122306 to 6 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/5 + 11416*m**2\/5 + 214256888*m\/5 - 284361558656 = 0. What is m?\nAnswer: -10640, 8174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -10. Is 3 + o*(0 - -12) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116286740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1 - 0)) + 0. Suppose 0 = -2*a - 3*c - 21, 11*a - 40 = 16*a + 5*c. Sort z, 0, a, -9 in descending order.\nAnswer: 0, z, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Suppose 0 = 2*a - 3 - 1. Let c(x) = -x**a + 3*x + 4*x - x. Let o(u) = u**2 - 5*u. Let l(p) = -5*c(p) - 6*o(p). Calculate f(l(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 - 13*g**3 - 136*g**2 + 2*g + 1648768 wrt g.\nAnswer: -4*g**3 - 39*g**2 - 272*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500 divided by -500.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2) - 4 - -8. Suppose c*x + 4*t - 7972 = -x, t + 9953 = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -192\/13 (b) 1\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 44 - 92 - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, y: 11}. Give prob of picking 2 y.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460329970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 981223 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + c + 13 - 28 to the form n + r*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2995*m + 853*m - 959*m + ((2 - 5 + 1)*(-3 + 0 + 0) + 2 + 1 - 1)*(-2*m + 3*m + m) in the form f*m + u and give f.\nAnswer: -3085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 7. Suppose -s - h + 2*h - 1 = 0, -5*s - 4*h = -40. Let d(p) = 4*p - 20. Let o(m) = s*d(m) - 11*b(m). Differentiate o(a) with respect to a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220102 (base 3) to base 6.\nAnswer: 13445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 53*i**4\/12 - 2*i**3\/3 - 34*i**2 - 1. What is the units digit of l(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151466 = 1093*k + 730*k + 7135 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/130 and 3\/169?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(5\/7)\/o*o))**9 assuming o is positive.\nAnswer: o**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 24. Let l be i(-8). Let u(z) be the third derivative of z**4\/12 + 59*z**3\/3 - 51*z**2. List the prime factors of u(l).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + -6591.42\nAnswer: -6590.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -10374 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in -3\/229, -0.1, -13\/3?\nAnswer: -3\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 54*p**2 + 3 - 6*p**3 + 1\/4*p**4 - 216*p. Factor f(m).\nAnswer: (m - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9205, 36828, 82865, 147310, 230157, 331400, 451033?\nAnswer: 589050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287725 is divided by 10275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352.5249cm to nanometers.\nAnswer: 3525249000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -23061, -8 in descending order.\nAnswer: -2, -4, -8, -23061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125.8 - -0.2. Let q = 126 - c. Let a = -3 - -3.1. What is the nearest to a in -0.2, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from fshkxfk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 4. Let p be j(0). Is 402\/3*2\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + 8*w**2 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, m: 4, l: 3}. What is prob of sequence gmgm?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -807, -805, -803, -801, -799?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2316, 9265, 20892, 37197, 58180?\n\"Answer: 2339*t**2 - 68*t + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*o + o = 7, o - 17 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 609a8b?\nAnswer: 609a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -243 (b) 14 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.856 + 0.056. Let q = i + 6. Let x = -2.8 - q. Which is the smallest value? (a) 4 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 + 195*x**2 - 3252*x - 16192 = 0.\nAnswer: -4, 23, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 + 5874*p - 142704 = 0. Calculate p.\nAnswer: -1982, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4241 - -5?\nAnswer: 4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.1. Let n be (-7 - (-276)\/40)\/(8\/10). Let f = 3.87 + 0.13. Which is the nearest to 0.02? (a) f (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = p - 121, -5*b + 582 = 5*p - 2*b. Suppose -4*k = 3*v - 23, 3*v - 5*k - 23 - 36 = 0. What is the highest common factor of p and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-10 + 20 - 19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858346720.\nAnswer: 2, 5, 7, 11, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 1 (b) 3\/4 (c) 0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0346 + 0.0346. Is t not equal to 16\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 2. Let m(p) = -p**2 + p**2 - p**2 + 29*p - 29*p. Calculate m(g(s)).\nAnswer: -4*s**2 - 8*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300966?\nAnswer: 2, 3, 103, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*f + 312 - 1077 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*x - 1684, 175*r = 173*r - x + 835. Suppose 250 - 802 = -3*g. What is the highest common divisor of r and g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -18. Let j = -6 - w. Let r(l) = l**3 - l**2 + 2*l - 5. Let u(y) = -3*y**3 + 2*y**2 - 7*y + 16. Let a(v) = -7*r(v) - 2*u(v). Calculate a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96787 divided by 7?\nAnswer: 96787\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 2*i. Let y(f) = 2*f**2 + 18*f - 10. Let j(c) = -5*r(c) + y(c). What is j(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630105401 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 8 = 11*r. What is the remainder when 0 + r - 12\/(-3) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-24)*(-24)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*v - v - 11, v + o + 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**(-1\/8))\/u)\/(u*u\/((u*u*u*u**1*u*u*u*u*u)\/u))*u**(-5)*(u\/u**1)\/u)**29)**(34\/3) assuming u is positive.\nAnswer: u**(1479\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 150 = -3*r, 3*m - 108 - 166 = -5*r. What is the remainder when 1112 is divided by r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 139*p**2 - 28915*p + 614. What is y(208)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16389 = -2176*m - 11899 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-39)\/(-21) - 4\/(-28))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*v - 11*v - 25, v = -5. Solve w = -5*a + 19*a - 70 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -410, -586, -1062, -1988, -3514, -5790, -8966?\n\"Answer: -25*c**3 - c - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + n + 15, -t - 3 - 7 = 4*n. Suppose a + 2*a - 2*d = 22, 0 = -a - 2*d + t. What is f in 0*f**3 - 40*f + 2*f**3 - 17*f**3 + f**3 - 46*f**2 - a = 0?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 143, 163, 191, 227?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 4:22 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 38 and 406931200.8229.\nAnswer: 406931238.8229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2122?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16083 + 32169 - 2*w - 16090.\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*(n**4\/n)\/n*n)))\/n**5*(n\/(n**(1\/5)*n))\/n*n*n**(-1)*n assuming n is positive.\nAnswer: n**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4317*s - 1207*s + 7555*s - 805*s.\nAnswer: 9860*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 21*n**2 + 2*n + 7*n - 29*n - 6*n - 20*n**2 in the form f*n + t*n**2 + v*n**3 + c and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62174981, -62174980, -62174979, -62174978, -62174977?\nAnswer: -62174976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205180985 to the power of 1\/2, to the nearest integer?\nAnswer: 14324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, v: 5, x: 5}. Give prob of picking 1 x and 1 v.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/((-144)\/(-78)))\/(1\/(-8)). Suppose l = -4*z + 114. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*f - 1172*f = 51 - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 94*j**2\/9 - 508*j\/9 + 208\/3.\nAnswer: 2*(j - 3)*(j - 2)*(j + 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1871*a + 507041. Give g(-271).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -3\/5 (c) -5 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4543 + 2980. Is -1563 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 19. Let d be s(13). Let f = -12 + d. Let k(l) be the second derivative of -l**4\/12 - l**3 + 7*l**2\/2 - l. Calculate k(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 79\/3. Let q = 0.078 + -14.478. Let c = -13.9 - q. Sort g, -4, c in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + sqrt(567))**2 + sqrt(567)) - (5 + (sqrt(567)*3 + sqrt(567) - sqrt(567)))**2.\nAnswer: -3415 - 135*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 1301?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -23*y. Let h(u) = 21*u**2. Determine h(a(c)).\nAnswer: 11109*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6308*j - 6316*j = 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 5. Let b = s + 16. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 61 = 8. Solve 12 = h*p - 3*a, 0 = -3*p - 2*p - 5*a - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41533848 divided by 728664.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.40884 nanometers in kilometers?\nAnswer: 0.00000000001540884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((-106 - -118) + -2 + -72)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*u + 102306 = 17*u. Round u to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 58.3836876 minutes?\nAnswer: 0.0057920325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - o - 2. Let s be y(-4). Let q be (-8)\/12*s\/(-4). Suppose -2*i + 2*c - 3*c + 417 = 0, 628 = q*i + c. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 252843*h**3 + 2*h + 4*h**2 + 252850*h**3 + 590*h**4 - 2 to the form r*h**4 + a*h**2 + s*h + z*h**3 + n and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664214046.\nAnswer: 2, 3, 19, 1381, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 30 = 23. Let u = p - -89. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1995 = 26*p - 41*p. Calculate the lowest common multiple of 95 and p.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634 is divided by 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6*s**2 + 4 + 7*s**2.\nAnswer: s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.91717626 - 0.93077. Let t = -0.0136 - j. What is t rounded to 7 decimal places?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 170, 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (89 - 76) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15328 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435450 and 174180.\nAnswer: 870900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 20 = -146. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/3)\/((c\/(c*(c*c*c**(-8))\/c*c*c))\/c)*(c\/(c\/(c\/c**16)))**41)**38 assuming c is positive.\nAnswer: c**(-70376\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 5. Let f be r(7). Let t be 1\/1*(1 + 1). Let b be 18\/3 + (t - 1). Solve 4*x + a = -13, f*x + 0*a = -5*a + b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44872\/(-504) + (39 - -50).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(1\/((-20)\/(-75))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*2 + 12. Let v(d) = 2*d**3 - 4*d**2 + 10*d + 6. Let t be v(w). Round t to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0)*11\/2. Let b(n) = -10*n**2 - 6*n. Let q(z) = 2*z**2 + z. Suppose -5 = -4*r + 3. Calculate r*b(p) + s*q(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:20 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12) + (-76)\/(-24). Solve -2*w + 8 = 5*d, -5*w - 8*d = -r*d - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 16 = -4*o, -5*o - 6*d - 325 = -2*d - 345 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (-8)\/(-36) - 34\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3537393.9 and -458185.\nAnswer: 3079208.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 819246.2nm?\nAnswer: 819.2462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1824 + 1825. Let o = 0.05 + -0.55. What is the nearest to -1 in 4, 2, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 5)*(0*l - 2*l - 10 + 13) to z + m*l and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**2 - 232740*m - 232736 = 0.\nAnswer: -58184, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = 3*w, q + 2*w + 2*w = -16. Let i = -368 + 373. Sort q, i, 4 in increasing order.\nAnswer: q, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*i - 500*i - 89 = -5*q, -4*i - 4*q = -q - 60 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3959, -15655, -35187, -62573, -97831, -140979, -192035, -251017?\nAnswer: -317943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/93 (b) 14 (c) 0.4 (d) -44 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3830 = 208*d - 6880 + 102 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(-2*i + 4*i + 2*i) - 2*i - 5*i + 3*i - 4 + 4 + i + (1 - 3*i - 1)*(-1 + 3 + 0) + i + 6*i - 5*i + 2*i - 5*i + 5*i + (-i + 2 - 2)*(-1 + 3 - 1).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 9. Calculate c(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -145*l**3 - 721*l**2 + 22*l + 6. Determine p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3326 - 2207 = -48*u + 2031 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1829*a - 693147. What is g(-379)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/32*(-548)\/822?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 81*r + 42. What is the hundreds digit of y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 4132201442?\nAnswer: 4132201441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let v be 19\/d + (-1)\/3. What is the highest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -48*k**2 + 133*k + 197. Calculate j(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/((-270)\/105) + (-86)\/(-8) and 3\/59.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 - 2*z - 396*z**2 + z**3 + 396*z**2 - 9*z**3 + 6393.\nAnswer: 3*z**3 - 2*z + 6393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244233489.\nAnswer: 3, 1163, 70001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 134?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18*3\/(-2)*-9. What is the units digit of ((-10)\/4)\/((-1)\/(-6)*a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4756*j**2 + 2372*j**2 - 71 + 2364*j**2 - 287 to s*j**2 + y + b*j and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let f = 2 - x. Does 2 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2938072603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + t**5 + (-4 - 2*t**5 + 4)*(2 - 2 - 2) + (t**4 - t**4 - 3*t**4)*(0*t - 6*t + t).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 43\nAnswer: 141\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42*((-136)\/102)\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 9*n - 11*n. What is the highest common factor of 49 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/3, 2\/7, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24137664 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -296 + 292. What is the second smallest value in 4\/5, u, 48?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63284\/15 at least as big as 4220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 4) to base 11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14839 or 3080?\nAnswer: 3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 417. Give m(-67).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0.2. Let j = 0.2 - z. Is j at most -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2555*x + 2539*x = -128016. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(-6)*u)\/u))\/(u*u**(-2)\/u*u))\/(u*u**(1\/3))**(-2\/49))**45 assuming u is positive.\nAnswer: u**(15555\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-1*(-2 + (-4)\/(-4)). Let p(n) = 13 - n**2 + k*n - 6*n + 11*n. What is the remainder when 51 is divided by p(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b**2 - 210*b + 28. Let y be a(13). Let l(k) be the first derivative of 0*k**y - 19 + 0*k**3 + 33*k + 5\/4*k**4. Differentiate l(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69975544?\nAnswer: 2, 1213, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from {u: 7, l: 1, v: 1, k: 1, w: 2, a: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10585*h + 10584*h = -6042. Calculate the smallest common multiple of 30 and h.\nAnswer: 30210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22862533 a multiple of 2027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.047 - -10.953. Which is the third smallest value? (a) s (b) -0.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 20 = -5*d. Let w = 23 + d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {d: 1, e: 1, p: 2, j: 1, i: 1, o: 9}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/(-2)*(0 + -22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f + 2*f**2 + 1 - 2*f + 0*f + 28*f**3. Let t be u(1). List the prime factors of 2 + -1 + (t - 9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3401 (base 12) in base 11?\nAnswer: -4368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/4 + (-3)\/3). Solve 3 = a*v - v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4214 + -4213. Put 0.5, p, 0.044 in descending order.\nAnswer: p, 0.5, 0.044","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188160 = -2660*o + 990*o - 1832*o - 1874*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = -68*c + 124*c - 286 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0744346*0.14.\nAnswer: -0.010420844","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -4764 (base 9) in base 11?\nAnswer: -272a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(2 + (sqrt(396)\/sqrt(441))\/sqrt(4))**2*2*4 + -3.\nAnswer: 192*sqrt(11)\/7 + 9985\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1199*l**3 + 50*l**2 + 3*l - 10. Let h(z) = -1799*z**3 - 74*z**2 - 5*z + 16. Let v(k) = -5*h(k) - 8*u(k). Find the third derivative of v(q) wrt q.\nAnswer: -3582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -31.44. Let x = v - -0.54. Sort -2\/17, -4, x, -0.5 in ascending order.\nAnswer: -4, -0.5, -2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 0.1, 0, 0.2 in increasing order.\nAnswer: -3, -0.4, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*30\/35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 2*p - 4*p)*(-3 + 1 + 4) - 17*p + 9*p - 3*p + (0 + 0 - 1)*(238*p - 472*p + 261*p) as x + u*p and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 - 206.5. Which is the biggest value? (a) 1\/8 (b) w (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 52*c - 353. Give w(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 36 = 7*f. Let x be 4\/(-6)*(-90)\/f. Calculate the highest common factor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13*r)\/(r*r\/r**(-9\/2)) assuming r is positive.\nAnswer: r**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-12)*(-108)\/(-396)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-37 + 17 - 22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -2*v**5\/5 - 5*v**4\/3 + 8*v**3\/3 + 6*v**2 + 107*v - 1. Find l such that w(l) = 0.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 9698?\nAnswer: 9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 1376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1038 and -9\/4.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 8*b**3\/3 - 2*b**2 + 3*b + 15. List the prime factors of x(4).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 21680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 2 + -5 + sqrt(1584)*2*6 + 2)**2.\nAnswer: -312*sqrt(11) + 267697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 36 = -3*v - m, 3*m - 5 = -2*v. Let k be (-6)\/8*((6 - 7) + -3). Calculate the smallest common multiple of v and 4\/k*9*1\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555725352.\nAnswer: 2, 3, 7, 13, 53, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -225 + 225 + 24*d. Let q(j) be the third derivative of -j**5\/15 + 19*j**2. Let u(y) = y**2. Let w(m) = q(m) + 3*u(m). Determine t(w(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 7*x + 419*d - 420*d - 18 = 0, 27 = 9*d for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjojjjjjjjjjojjjj. What is prob of sequence ojjo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0797572 to 3 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3231, -3324, -3583, -4092, -4935, -6196, -7959, -10308?\nAnswer: -13327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a microgram in nanograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k + 40. Let a be h(5). Suppose -v = 6 - 3. Let f(i) = -i**2 - 3*i - 4. Let u be f(v). Sort a, -7, u in descending order.\nAnswer: a, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211 - 60 - 2*u**2 + 3*u - 55 - 48 + 258*u**3 - 47 to g*u + a + p*u**3 + t*u**2 and give p.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22446 less than -19?\nAnswer: -22465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-2640)\/(-45))*28\/6. Which is the closest to -2\/9? (a) r (b) 0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817328986 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 99023768 divided by 2\nAnswer: 49511884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y**3 - 9*y + 10. What are the prime factors of w(4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668\/(-132) - 22\/(-363).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.61578291 and -3.\nAnswer: 28.84734873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(275) + 0)*-3.\nAnswer: -45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 take away -4389?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007798 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1309000 and 32725.\nAnswer: 1309000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 - 5*k**2 - 2*k + 4*k + 14 + 4*k**2. Let h be u(4). Solve -3*i - 17 = -h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-18 + 18 - z)*(4 + 0*z**2 + 4*z**2 - 3*z**2).\nAnswer: -2*z**3 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105734293*g**6 + 45386*g**2 + 1853*g?\nAnswer: 12688115160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (2 - (-2 - -4))) + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 1, o: 1, f: 2, e: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxxyjxxy. What is prob of sequence xyyx?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-2)\/4*6 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 30*v + 0*v)*(-v**4 - v**4 + 5*v**4).\nAnswer: 63*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, -2, 3\/2, -1\/2, 1199, 0.3, -1\/3?\nAnswer: 1199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215 + -217.06. Let y = t + 2. Suppose 2*i - 3*i = -3*q - 6, 4*q - 2*i + 10 = 0. Which is the second smallest value? (a) -4 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - i = -2*i + 3043033, -2*i + 2282271 = 3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 631, 965, 1325, 1717, 2147?\nAnswer: 2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -6*k + 42 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 - -4362.\nAnswer: 4475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-14)*3710\/424)\/(12\/(-2)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375736.\nAnswer: 2, 67, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 11*r - 36 = 0. Let a(f) = 11*f**2 + 4*f**3 - 3*f**3 - f**3 + f**3 + 17 - r*f. What is the tens digit of a(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 480*o - 482.\nAnswer: 2*(o - 241)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3105 and 166405?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2258 and 105710528.\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 306*b**2*m**3 + 8*b**2*m**2 - 70*b**2*m - b*m**3 + 176*b*m**2 + 2149*b*m + 5*m wrt b.\nAnswer: 612*m**3 + 16*m**2 - 140*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1792.\nAnswer: -1\/1792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 20\/24 - 4. Let a be 4\/1 - 5598\/1395. Let s = a - 296\/1085. Sort 2\/3, k, 5, s.\nAnswer: s, 2\/3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*p + p - 9 = 0, -3*p = -r - 6. Let g(k) = -k - k**r - 2*k**2 - 3*k**2 - 3 + 0*k**2. Suppose -4*m = m - l + 30, -3*m + 4*l - 35 = 0. What is g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -2 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + ((-5*sqrt(405) - sqrt(45))\/(-1*sqrt(225)) - (sqrt(125) + 2 + sqrt(40)\/(sqrt(8) - sqrt(8)*-2))).\nAnswer: -8 - 32*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 23 = -s, 4*s - 4*p - 69 = 7*s. Suppose 26 = -3*t + 2*t. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -1 + 3. Suppose 2*j = -5*w + 3*j + 2, 3*w = -i*j + 9. Let g(z) = -z**2 + 8*z. Let n(o) = 48*o - 1. Let m(h) = -6*g(h) + n(h). Calculate m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-4)\/8*2. Calculate the remainder when 23 is divided by 24\/2*g\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*a**3 - 2520*a**3 - 2349*a**2 + 2349*a**2.\nAnswer: -2041*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120741 and 11581617?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*t - 756 = -95*t + 68*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165843 (base 10) to base 3.\nAnswer: -22102111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8418 - 3692 - 4103)*(1 - 3*o**4 + 1 + 1).\nAnswer: -1869*o**4 + 1869","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279005 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -13. Let z be l\/24*(-18)\/(-4). Suppose -2*b = -5*b + z. Calculate the lowest common multiple of b and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1 + sqrt(2448))**2 + (-2*sqrt(68))\/sqrt(4).\nAnswer: 46*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 33*z + 22. Let m(p) = -p**2 + 6*p - 4. Let n(b) = 11*m(b) + 2*u(b). Let j(i) = -6*i**2 - 4. Determine -j(g) - 5*n(g).\nAnswer: g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -45. Suppose -2*s - 5 = -33. Suppose 0 = -5*c - 2*o + 25, 4*o - s = -3*c + 3*o. Solve -7 = 3*b + u + c*u, -v = b + 5*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(14\/4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 108 + 28 = 0. Let m(x) = 20*x - j - 4*x + x + 7. Is m(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*b**2)*(-5 + 2 + 2) + 12*b**2 - 3*b - 11*b**2 - 10675 + 10640 to the form d*b**2 + w + n*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 11:41 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*u + 42 = 0. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-4)*12\/9. Let j be (198\/12)\/(s\/32). Let v be j\/(-84) - (-4)\/14. Which is the smallest value? (a) 2\/5 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 243 - 4597*s**2 + 120.\nAnswer: -4597*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 6\/(-9)*267. Suppose 2*d + z - 120 = 0, 7*d - 4*d - o = z. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let k(b) = -b**3 - b**2 - b + 1. Let f(l) be the first derivative of -l**3\/3 - 21*l**2\/2 - 79*l - 16. Let c be f(-16). Calculate c*s(h) - k(h).\nAnswer: h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 35 = -189. What is the highest common divisor of y and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -344, -523?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17564 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + -0.05. Let x = -2.6 + s. Let n = 0.466 + -0.066. Which is the second smallest value? (a) x (b) 1 (c) n (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -26. Sort -4, 2, z in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 11471 = 9095. What is the remainder when z is divided by 116?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (99\/55)\/(2*6\/40). Let b(w) be the first derivative of w**2\/2 - 4*w - 4. Let c be b(m). Let u(t) = t**3 - 2*t**2 - 2*t + 1. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 - n + 7*n**3 - 33*n**4 + 32*n**4 - 4*n**3 as q*n**3 + d*n**4 + w*n**2 + z*n + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.27201487 from -10.4.\nAnswer: -11.67201487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - 1.89. Let x be (-63)\/(-21) + 1*(1 - 0). What is the second biggest value in -1\/5, z, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -29 and -645\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 5*f)*(3*f - 2*f + f)*(84 - 167 + 43).\nAnswer: 400*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/505 + -6577\/3030. Let t = -5\/2 - y. Let p = -0.3 + 0.8. Which is the nearest to t? (a) p (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4470 - -4466. Which is the fourth biggest value? (a) 1\/3 (b) 0.2 (c) k (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + 1.7. What is the closest to v in -4, -1\/13, 2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-1)\/(-56))\/((-81)\/(-63))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -1. Let w = 7 - i. Calculate the smallest common multiple of 14 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 - 282.3. Let l = n + 16. Sort -5, l, 2.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178590.\nAnswer: 2, 3, 5, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4481 * 10.6\nAnswer: 47498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -48204?\nAnswer: -1\/16068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83, -84, -95, -122, -171, -248, -359, -510?\n\"Answer: -j**3 + j**2 + 3*j - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -371*(-80)\/840*(-6)\/16*4\/1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 33*j - 1248 = -55*j. What is the highest common factor of j and 7752?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:52 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - j - 3*j)*(-2*j**2 + 21*j**2 - 5*j**2).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 639 - 637. Which is the closest to -0.5? (a) x (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427538750 is divided by 213769369?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/176 + 107\/528. Let v(k) be the third derivative of -l*k**4 + 0*k**3 + 0 + 6*k**2 + 0*k. Let t(p) = -11*p**2. What is t(v(s))?\nAnswer: -275*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*-4*3\/(-60))\/(18\/(-144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 2. Let y be i(0). Let g = -932 - -925. Sort g, y, 4, 1 in increasing order.\nAnswer: g, y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2116*i - 21214. Calculate o(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 9*i - 4. Sort -4, -3, -6, i in descending order.\nAnswer: i, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -610.3962775 to 2 dps.\nAnswer: -610.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-15) - 50\/(-3). Suppose -5*p = 1 - z. Solve -w + p*w = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/156)\/(2 + 33\/(-12)). Which is the third smallest value? (a) 0.4 (b) 1\/3 (c) -0.017 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -163. Let z = -66 - q. Which is the third smallest value? (a) z (b) -21 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -37. Suppose 3*o + m - 10 - 135 = 0, 2*o + 2*m - 90 = j. Suppose o = -15*c + 17*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 3:46 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 - 4*d - 4. Let p(k) = k**3 + k**2 - 3*k - 3. Let z(n) = -3*l(n) + 4*p(n). Determine z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mnzmzn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a0c (base 15) to base 8.\nAnswer: 36622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 308 = -69*y - 20*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*i = 16561 - 6061 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/15)*a**(2\/3)*a**(-7\/3)\/(a**(-6\/11)\/a) assuming a is positive.\nAnswer: a**(167\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4309 and 179428?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57732328 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) - (-50)\/28. Let z = -0.45 + 0.55. What is the second smallest value in y, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (14 - (6 + 2)) - (6 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13842)\/30*-10 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -286591, -572868, -859145, -1145422, -1431699?\n\"Answer: -286277*i - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 + 2*h**2 + 2*h + 1. Let z be y(-1). Suppose -7*f = -3*f - 36. Let m = z + f. Calculate the smallest common multiple of m and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 356.1128 - 356. Let w = d + 1.8872. Let t = 1 + -3. Put 0.08, w, t in decreasing order.\nAnswer: w, 0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1.126, 2\/13, -0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 823559 and 55.3?\nAnswer: 823503.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 3491.\nAnswer: 3491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (0 + (3*sqrt(468))**2))*-4 + -2 + (-3*(sqrt(468) - (5 + sqrt(468) + -3 + sqrt(468))) + 3)**2.\nAnswer: 300*sqrt(13) + 21139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 411877522 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(5\/8)\/(x**(4\/3)\/(x\/(x\/x**(-4))))*(x**(-1))**21*x**(-2)*x\/(x*x**3*x) assuming x is positive.\nAnswer: x**(-761\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 1. Let i be j(1). Suppose i + 2 = k. Let z(p) = p**2 + 2*p - 3. Is z(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*i + 160 = 82, 30 = 2*x - i. Let q be (-8)\/(-6)*3\/2. Suppose 12 = 3*g - g - 4*w, 2 = g + q*w. Calculate the remainder when x is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 11*z**2\/2 + 5*z - 543. Let y(f) = 10*f + 6. What is 6*o(w) - 5*y(w)?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 18268*d + 7*d**2 - 18268*d + 4.\nAnswer: 7*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26327443 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20))\/(264\/(-220)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 2. Let w(a) = a + 6. Let r be w(i). Solve u - 1 - 2 = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8 - 4. Let h be 3\/(q\/4) + -2. Suppose 5*t - 15 = h*t. Solve 3*m + 1 = t*n, -4*m + 2*m + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011100101111011001110110 + -11?\nAnswer: 10100011100101111011001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) + 0 - -5. Suppose 2*t + j = 6, -2*t - 16 = -a*t - 5*j. Suppose -48 = -5*r + t*r. Calculate the remainder when 30 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t + 4*g - 28780, 14420 = t - 4*g. What is t rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0*x**3 + 2*x**3)*(6 + 0 - 2) - 2*x**3 - x**3 + 8*x**3 - 11*x**3 + 15*x**3 - 7 - x**3.\nAnswer: 20*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 14. 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: Simplify (y**(-3)*y*y*y**(5\/6))**28 assuming y is positive.\nAnswer: y**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 534 or 543?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -44. Let o = c + -3. Suppose -o + 0 = -5*f, t + 4*f = 73. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612602 is divided by 65315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -4 + sqrt(17) + (sqrt(17) - (sqrt(272) + 1)))**2.\nAnswer: -40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*6644503\/(-6)*-2. Suppose -1365572 = -3*b + r. Suppose -2*u - 603310 + 2383315 = w, b = 3*u + 5*w. What is u rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/(119\/21) + 2606\/(-756) and 41\/7.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 - 4*z + 2. Let l be k(-4). Suppose 4*x = -a + x + 26, l*a + x - 37 = 0. What is the remainder when 33 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137\/132 - 70\/33. What is the common denominator of y and 9\/81*(-429)\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 11*l. Let g be ((-15)\/(-9) - 2)*-30. Let x be u(g). Calculate the common denominator of x\/(-16)*12\/7 and -93\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.2 (b) -261 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*p + 242724 = -17*p. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 7861100?\nAnswer: 55027700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500637741?\nAnswer: 3, 5791, 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*g = 11, 3*g = -4*t + g + 28. Sort 1, -1, -9, t in increasing order.\nAnswer: -9, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from {p: 3, d: 4, b: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16 + (-3)\/(-5 - -4). Let a be 248\/10 + d\/(-65). Solve 0*u = 5*u - a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*y - 284*y - 164*y)*(5*y**2 + 4*y**3 - 5*y**2) + 0*y**4 + 0*y**4 - y**4 + (1 + y**2 - 1)*(-2*y**2 + y**2 + 0*y**2).\nAnswer: -1574*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18616943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 115568*p\/5.\nAnswer: 2*p*(p - 57784)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 12*o**2 + 13*o + 20. Let p be d(-11). Let g be 3 + 0 + p - (-27)\/(-21). Which is the closest to 2? (a) g (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffwfffffffff. What is prob of picking 1 f and 1 w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2045 - -7427. Is y a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871.08162 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 32 = -4*b. Let h(z) = -z**3 - 9*z**2 - 3*z + 11. Let f be h(-10). Suppose 50*y + f = 53*y. Calculate the remainder when y is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 36864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 24*i**2 - 6*i**2 + 0*i**2 + 6 as f*i + s*i**2 + v and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmmmxmermmemmxmmxmm. What is prob of picking 1 r, 2 m, and 1 x?\nAnswer: 198\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 - 21 = 0. Suppose -3*n + 15 = 0, -4*t - t - d*n - 185 = 0. Let z = t - -94. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*v - 1649*v + 827*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 18 (b) 305 (c) -321\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8188*w**3 + 2*w**2 - 2162*w - 7613*w - 8189*w**3.\nAnswer: -w**3 + 2*w**2 - 9775*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0 - 2*t**2 + 0. Let m(o) = 8*o. Let y(i) = 9*i. Let r be ((-2)\/3 + 1)\/(3\/54). Let b(z) = r*m(z) - 5*y(z). Give b(h(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (2\/(-2) - -2). Let w(b) = 3*b + l*b - 4 + 0*b. Let s be w(6). Solve -j - 2*f = -s, 0*j + 5*j + 2*f - 30 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 85 + 76 = 0. Let n be 4 - 2\/(-3)*x. Let p(m) = -m + 3. Let l be p(-3). Solve 5*c - 3*d = l, 2*d = -0*c + n*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 + 334. Solve n*t + 42 = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68121 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 + 6*w**2 + 4. Let v(x) = 3*x**3 - 5*x**2 - 4. Determine -5*o(c) - 6*v(c).\nAnswer: 2*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0565 - -0.06. Round b to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 15 - 77) + (-53 - -23)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5446*w**3 - 559*w**3 - 5098*w**3 + (-4*w - w + 2*w)*(w**2 - 5*w**2 + 3*w**2) as z*w**2 + n + c*w + f*w**3 and give f.\nAnswer: -11100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*t - 3*l + 13, 0 = 3*t - 4*l - 1. Let q(c) = c**2 - t*c**2 + c**2. Let j(b) = 2*b. Determine q(j(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (-8 - -17) - (-139 - -98)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (784\/88)\/(-7) + (-15)\/(-55). Let y = -0.12 + 0.1. Sort y, g, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i**(1\/7))**(11\/7)*(i*(i*i\/i**2)\/i)**(-19)*(i**1)**9 assuming i is positive.\nAnswer: i**(144\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -47 in ascending order.\nAnswer: -47, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -967\/93 greater than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 3*t + 30, -1 = 2*x - 0*x + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.3 - -80. Let q = 3 + m. Put -0.2, 0, q in decreasing order.\nAnswer: 0, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 534 (b) 9\/20 (c) 2\/79 (d) 2\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 48*g**2 + 5*g - 246. What is q(48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123*g**3*m - 124*g**3 with respect to m.\nAnswer: 123*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908 and 709463984?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 11*v - 2. Calculate m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*z - 167 + 170 + 72*z to i*z + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2 + 6208*y + 68530 = 0.\nAnswer: -11, 3115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 22 + -9 + -9 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:32 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.7 - 13116864.\nAnswer: -13116852.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 24465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005097783903 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 12 - 11 - (-50)\/20. What is the closest to d in 0, -84\/23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 40*i**2 - 2*i + 43. Let m be c(20). What is q in 1\/3*q**2 - 2\/3*q - 1\/3 + 2\/3*q**m = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 - 5*j + 4. Let r be z(1). Let k be (-15)\/r - ((-75)\/114 - 1). Are k and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 8 = 3*l, 12134*l = 12133*l - 2*a - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let i be (1 - (-7)\/(-9))*(-15)\/(-20). Sort 0.1, n, i in increasing order.\nAnswer: n, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4314*a**3 + 4354.\nAnswer: 12942*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(sqrt(66) - sqrt(66)*-1) - (sqrt(66) + (sqrt(66) - -1*sqrt(66))*-6)))\/(-3*((sqrt(330) - -1*sqrt(330))\/sqrt(11))\/sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 1. Let o(u) = 6*u + 2. Let n be ((-30)\/(-12))\/((-15)\/(-24)). Give n*a(i) - o(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 3, -88, 0 in increasing order.\nAnswer: -88, -1, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*w. Let z(y) be the third derivative of -y**6\/20 - y**5\/60 + y**4\/24 - y**3\/6 + y**2. Calculate z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 11*d**2 + 0*d - 40 + 0*d**3 - 1\/20*d**5 - 5\/8*d**4. Let r(c) be the second derivative of j(c). Solve r(b) = 0 for b.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:11 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -9*n + 190. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 42*r**2 + 44*r - 64. Determine m(43).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4564 + -114098\/25. What is the nearest to 2 in -2\/5, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 469994 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 1602, 3591, 6364, 9915, 14238, 19327?\nAnswer: 25176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -6*z - 24. Suppose -p - z = -34. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:01 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 104394 (base 11) to base 5\nAnswer: 20314331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + d**3 - 8*d**3 + 9*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 96 = 14*p - 9*p. Which is the closest to -0.1? (a) 5\/4 (b) 0.1 (c) -4.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 19*n**2 + 19*n + 7. Is f(18) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88247, 88371, 88709, 89369, 90459, 92087, 94361, 97389?\nAnswer: 101279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zydvyvymyyzvkyvv. Give prob of picking 1 z and 1 k.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z**2 - 2. Let b(d) = -480*d**2 - 65. Let v(q) = 2*b(q) - 65*i(q). Let x(p) = p**2 + 9*p. Determine v(x(n)).\nAnswer: 15*n**4 + 270*n**3 + 1215*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 57. Is i(-11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -140. Suppose a*v = 21*v - 452. List the prime factors of v.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 5. Suppose 0 = 13*t + t. Determine i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 10:58 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1246 and 1.2.\nAnswer: -1244.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100101011100100 + 100?\nAnswer: -1001100101011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-5 - -10)) + (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -6*t. Suppose t*y + 255 = y. Suppose -5*r + y = -0*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 - (7 + (-215)\/30). Let p(z) be the second derivative of w*z**4 + 3*z + 0*z**3 - 1\/10*z**5 + 0 + 0*z**2. Suppose p(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00872929 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -28683, 2, 12 in ascending order.\nAnswer: -28683, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.503 + 0.143. Let q = 2.360113 + k. What is q rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 4\/7, 301, -1\/2, -0.1, -3\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -0.4, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 5*t - 15*t to u + i*t and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 3. Let h be y(2). Suppose -h*m - 50 = -7*m. 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 closest to 20\/57 in 10, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and 83\/589926264.\nAnswer: 589926264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43.1 (b) 42 (c) 3\/2 (d) -2 (e) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 93*x**3 - 2*x**2 + 2*x + 1. Let s be q(-2). Let i = -298 - -313. What is the common denominator of -109\/24 and s\/i*3\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Suppose -5*k + 2*n - 2 = -4, 4*k + 4*n = 24. Let s be 27\/(-3) - ((1 - 8) + k). Which is the closest to i? (a) s (b) -7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 159038?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(6*p + 0*p - p)*(-6 + 16 - 6)*(-2*p**4 - p**4 + p**4).\nAnswer: -80*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1*(9 + -4). Let y = g - -22. Let m be (y\/3 - 3)*-12. Solve 3*z = m*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 10.61?\nAnswer: -9.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17007 - -17021. Let z(w) = 57*w**3 - 2*w**2 + 2*w - 1. Calculate the lowest common multiple of k and z(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 633*c - 289*c**2 + 249*c**2 - 300*c**2 - 348*c + 699*c + 4*c**3.\nAnswer: 4*c*(c - 82)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 5*c + 5. Let a(w) = -5*w**2 - 8*w - 8. Let i(p) = 5*a(p) + 8*y(p). Let v(q) be the third derivative of q**4\/24 + 30*q**2. Calculate i(v(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2894 divided by 1447.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18993399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11202122 (base 3) to base 8\nAnswer: 6621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 210*t**3 - 1955*t**2 - 210*t + 1960 = 0. What is t?\nAnswer: -1, 1, 14, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 11*r - 10 = 0. Suppose -3*o - 14 = h, h - r*h + 1 = -2*o. Sort 5, o, 1 in descending order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 24617*j**2 + 5*j + 2. What are the prime factors of w(-1)?\nAnswer: 2, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18834.2 rounded to the nearest 100?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 20. Let t be m(7). Sort t, -4, -2\/5, 3 in increasing order.\nAnswer: -4, t, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -7623389337209.\nAnswer: 7623389337226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*n**2*u - 8*a*u**2 + 2*n**2*u**3 - 30*n**2 + 2*n*u**3 - 10*n*u**2 wrt n?\nAnswer: -4*a*u + 4*u**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + 3*s**4 + s**4 + (3*s**4 + 4*s**4 - 5*s**4)*(1 + 2 - 2) - 6*s**4 - 2*s**4 - 3*s + 0*s**4 to q*s**2 + o + g*s**3 + c*s + p*s**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/20 - 7*f**4\/12 + 5*f**3\/6 + 2*f**2 + 3*f. Let z be (12\/(-14))\/(6\/(-42)). What is w(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4 + l**3\/3 - l**2 + 2*l - 3. Let n be m(2). Suppose 4*d - 34 = n. Solve -2*z - 16 = -4*f - 4*z, z = -5*f + d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15013 + 5?\nAnswer: 15022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 16*m**2 + 17*m - 25. What are the prime factors of v(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29794 + -17304. Round h to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -3331.\nAnswer: -59958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111220 + -43000?\nAnswer: -204220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3476\/(-56) + (-5)\/(-70). Let a(y) = 44*y - 2. Let h be a(-2). Let s = t - h. What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 + 314*h**2\/9 + 214*h\/3 - 106.\nAnswer: -2*(h - 159)*(h - 1)*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-231)\/11)*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.03 bigger than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 16. Suppose -60 = 2*f - 17*f. Let c(l) = 13*l - 11. Let i(j) = 11*j - 9. Let u(b) = f*c(b) - 5*i(b). Calculate u(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 230.99\nAnswer: -92.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from sxxxxrrrx?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 66*v - 10. Let o be g(3). Suppose 182*w - o*w = -1776. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3613 - 3605. What is the smallest common multiple of 352 and c?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 9, t: 2}. Give prob of picking 1 w and 1 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 6. Let z(s) = -12*s + 24. Let p(w) = 21*a(w) - 5*z(w). Let v(c) = 2*c**2 - 159*c + 393. Let j be v(77). Determine p(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {d: 6, f: 1, p: 2, g: 5, c: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qnqqqqssqsqsqsqqq?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-154)\/(-54))\/(4\/6). Factor 0 + 0*j**4 + 0*j**2 + 4\/9*j**3 - y*j - 2\/9*j**5.\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/40 - -7453*(-31)\/1420420\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7 + 0 + 3*o - 5 + 3. Let p be f(5). Suppose 0 = 2*d - p*d + 4*y + 88, 3*y = 5*d - 114. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77138347 divided by 29887\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkndn. What is prob of picking 1 k and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) 0.2 (b) 42 (c) -2 (d) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d*d)**10*d**(1\/2)\/(d*d\/(d\/(d**(2\/13)*d))) assuming d is positive.\nAnswer: d**(-823\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/13, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534206 is divided by 7742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121000845 to the nearest integer?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 7 - 25)*(-5*o**2 + o**2 + 3*o**2) as p + j*o + c*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:00 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932024.\nAnswer: 2, 113, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -1\/12*w**4 - 11\/6*w**3 + 0 - 4*w + 7\/2*w**2. Let r be c(-12). Let m(s) = 2*s + 7. Calculate m(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -274, -1024, -1788, -2572, -3382, -4224, -5104, -6028?\n\"Answer: -l**3 - l**2 - 740*l + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*n - 1 = 0, 6*c - 4*c - 2 = -3*n. Suppose 7 = 3*k - 2. Let j = 3 - k. Is j greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1893? (a) -3 (b) 0.065071 (c) -2 (d) 0.5 (e) -5 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 2*b**2 - 2*b**2)*(12*b**2 - 56*b + 56*b) - 12*b**2 + 12*b**2 + 10*b**5.\nAnswer: 34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 1:15 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140.9 - -153.9. Put -0.1, o, 23 in decreasing order.\nAnswer: 23, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7 = -u. Suppose 2*i = u*i - 4*m - 131, -5*i + 135 = -5*m. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Suppose 5*f - 1 = 9. Let d(y) = f*y + 0*y - 6*y. What is d(a(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence den when three letters picked without replacement from {e: 9, d: 1, n: 3, i: 2, u: 2}?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m**(-1)*m)*m))*m)**(6\/17)*((m\/m**(-2\/7))\/m)\/(m*(m*m**(-4))\/m) assuming m is positive.\nAnswer: m**(517\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*p + 15, 2*v - 2 = 2*p - 8. What is the closest to 1\/3 in v, -46, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t**2 - 2771*t + 63032. What is m(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -220462 divided by -1?\nAnswer: 220462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 3}. Give prob of picking 3 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(5 - 7)\/(10\/1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37426722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let g = 20 + -14. Let n(c) = -4*c**2. Calculate g*n(k) - 26*m(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from yayaayyyayay?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -30.8. Let t = -0.19976 - y. Round t to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388298 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3599? (a) -0.2 (b) -6\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 23*w**2 + 23*w - 132. Give p(-24).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10200818*g**2 - 128185948*g wrt g?\nAnswer: -20401636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 0.9.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 33 + 15 = 0. Let x(d) = -d**3 + 4*d**2 + 10*d + 14. Let a be x(k). What is the tens digit of (-1 + 35)*a\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 154 - (2\/1 + -2). Suppose 2*p + 3*p - 10 = 0. Suppose -2*u + p = -26. What is the highest common factor of u and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:38 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25994, 25996, 25998, 26000, 26002, 26004?\nAnswer: 26006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 116 = 3*i. Let s = 126 + i. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28998, 45221, 72268, 110145, 158858?\nAnswer: 218413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5.006. What is h rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29806461.\nAnswer: 3, 29, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 0)*(2*t - t + t)*(-2*t**3 + 3*t - 3*t).\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 + 7*b + 6. Let j(x) = x**2 - 5*x - 4. Let r be j(5). Let k = r - -10. Let w be n(k). Solve 3*a + m = -w, 7*m = 4*a + 4*m + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7583 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590056007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -51. What is the highest common divisor of o and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36990 and 548.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0*z**(-9)*z**(6\/11)\/(z*z**(-1\/19)*z*z))**(-13\/6) assuming z is positive.\nAnswer: z**(14131\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**3 + 17*r**3 + 24*r**2 - 24*r**2.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58762 = 51*m - 53*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 12*a - 12. Let s be w(5). Let q(n) = -3*n**3 + n**2 + n - 2. Let c(j) = -3*j**3 + 2*j**2 + j - 3. Give s*c(p) + 3*q(p).\nAnswer: -3*p**3 - p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76642, -307162, -691362, -1229242, -1920802, -2766042?\nAnswer: -3764962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44365*k**3 - 1802*k**2 - 2.\nAnswer: -266190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + o + 1. Let y(n) = -6*n**2 + 7*n + 4. Let z be (-4)\/6*6\/4. Let q(s) = z*y(s) + 4*k(s). What is the second derivative of q(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2427*t - 3774*t - 163397 + 39377 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.170112 decades to centuries.\nAnswer: 0.5170112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1201891\nAnswer: 360567.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (298 + -6 + -1 + 5)\/(-1). Let t = q - -304. Let d(c) = -c**2 + 7*c + 7. What is d(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 373 (b) 5 (c) -3\/28 (d) 0.4 (e) -4 (f) -1 (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 453.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01419 - -0.18698725.\nAnswer: 0.17279725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) 74 (c) -0.02 (d) 0 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(128) + -5)*1 + -1 + (3*(sqrt(128) + (0 + sqrt(128))**2) - sqrt(128) - sqrt(128)).\nAnswer: -8*sqrt(2) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -96*v**3 - 2*v**2 - v + 2. Let q be d(1). Let s = 166 + q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n + 6 - 6)*(n + 40*n**2 + 5 - 43*n**2 + 0*n) to w*n**3 + h*n + a + d*n**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*d - 88, 2127*g - d + 68 = 2124*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1570577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20237020197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1868 = -2*n, 36*m + 8 = 40*m. Suppose -3*d - 2*q + 637 = 0, 5*d - 123 = -4*q + n. What are the prime factors of d?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.659 - 16.5789. What is o rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:15 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 54, 139, 296, 549, 922, 1439?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24003420 and 7035?\nAnswer: 24003420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8240 divided by -2?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - h)*(-37*h - 36*h - 2*h).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 c when four letters picked without replacement from eeeceieiiiieeeec.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 + 118. What is the smallest value in -0.5, k, -1, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 less than or equal to 200\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.036 + -0.036. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 6270?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 527389 + -30.\nAnswer: 527359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.77 rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 + u**2 + 2*u**2)*(u + 0 + 0) - 3*u**2 + 3*u**2 - 6*u**3 + 4*u**3 - 3*u**3 + u**3 to i*u**2 + h*u**3 + k + r*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21072, 42775, 64468, 86145, 107800, 129427, 151020, 172573?\nAnswer: 194080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y - 2. Does 8 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g = 3. Let q = 29.54 + -30. Let s = q + 0.76. Which is the nearest to g? (a) 0.2 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47554 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 times -0.615?\nAnswer: -405.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {w: 1, d: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8620285.014786 - -0.985214. Let t = 8620284.69999904 - x. Let w = -1.3 - t. Round w to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 16. What is the biggest value in n, -1, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 x when four letters picked without replacement from {e: 7, g: 7, x: 2}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -33. Solve 9 = -r*s + 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395137766.\nAnswer: 2, 17, 11621699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12943 + -12938. Let x(u) be the first derivative of 12*u + 2\/3*u**3 + 1 + m*u**2. Factor x(r).\nAnswer: 2*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/18 and 44\/153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*u - 9*u = 10, -4*u = -5*a + 8. Solve a = -8*t - 14 - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004128 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 f(u) = u + 2. Let t(x) = -3*x - 9. Let o(y) = -18*y**2 + 1. Let p be o(-1). Let m = 19 + p. What is m*t(a) + 9*f(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -13. Let v(m) = -3*m + 3 + d*m + 9 + 2*m. List the prime factors of v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-23)\/(c\/(c\/(c\/(c*c**(-5))*c)))*c**(-1)*c**(-4\/9) assuming c is positive.\nAnswer: c**(-274\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/36)\/((-2)\/15)*(16 - (-3)\/(-3))?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51100\/13 - -3933. Find the common denominator of 5\/6 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*z**2 + 2 - 2 + 37*z**2 to the form d + g*z**2 + b*z and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 20*s = -v - 2*s + 507, 2*v - 34*s + 36*s = -154 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 2*r**2 - r**2)*(-3*r + 4*r + 3*r) + (r + 0*r + r)*(-3*r**2 + 5 - 5) + 2*r**3 + 0*r**3 + 0*r**3 in the form m*r + f + d*r**3 + i*r**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - -13721a?\nAnswer: 137249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-4 - (-20)\/6). Is o\/(-4) - (-5518)\/4 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 206658312?\nAnswer: 2, 3, 7, 23, 79, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.042 + -1.042. Sort v, 0.2, 13, -2\/21.\nAnswer: v, -2\/21, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) + ((sqrt(204) - 2*sqrt(204)) + sqrt(204) - sqrt(204))) + sqrt(204))\/(5*2*sqrt(12)) + -3.\nAnswer: -3 + sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6)*(2*o**2 + o**2 - 2*o**2) + 0 + o**2 + 0 - 5 + 5 + 14*o**2.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + 2*i**4 + (-3 + 3 - 2*i)*(i**3 + 4*i**3 - 3*i**3) - 1 - i**4 + 1 - 2*i**4 + 0*i**4 + 0*i**4 + (-2*i - i + 2*i)*(-2*i**3 + 3*i**3 - 2*i**3).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46045*t**3*y + 423*t**2*y - 6*t - 17*y wrt t?\nAnswer: 276270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 441 + -420 + 1 + -1 + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**4 + 64 - 6 + 14 wrt j?\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - m - 2*m + 5*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 840349 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 58 = -5*j, -161*j + 163*j - 23 = -15*v for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2814779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 7 (c) -0.039 (d) -2322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(-4\/5)*m**(1\/5))**(-2) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7176*l - 50158. Give b(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:53 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*h, 2*h - 31 + 12 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qypm when four letters picked without replacement from {q: 2, m: 1, p: 6, w: 1, y: 9}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o**2 - 39*o - 107. What is i(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 833.\nAnswer: 832.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 0 - -5*1. Find t such that 1 - 3*t**2 + 4*t**2 + 2 - 4*t**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*c)*(c - 3*c**3 - 2 - 3*c**2 + 6*c**2 + 3*c**2) as p*c**2 + n*c**4 + s*c + f*c**3 + j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:27 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/300 + h**5\/50 + h**4\/30 + 15*h**2. Factor z(y).\nAnswer: 2*y*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Suppose -48224 = -19*l + 3*l. Let a(b) = -2*b**2 + l - 3014. Calculate o(a(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 94 + 64. Calculate the greatest common factor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 9\/6)\/2. What is the closest to r in -3, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -80 + 37 - (71 + -1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201*w**2 + 260 wrt w?\nAnswer: -402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 473000 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 3. Let s be ((-6)\/4 + 2)*2. Let r = s - 4. Is j(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 16*w**3 - 4 + 6*w - 24*w**2 - 4*w**4 + 6*w + 4*w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513797 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 79.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (209 - 143 + 167)*(0 - 3*f**2 + 0) + f**2 - f**2 - 2*f**2 + (-f + 2*f - 2*f)*(-3*f + 5*f + 0*f) to the form z*f**2 + l*f + n and give z.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -439 and 2519505073?\nAnswer: 2519505512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3565 less than -7816?\nAnswer: -4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*p - 7 = 0, 0 = 16*p - 12*p - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n**2 - 24 - 2*n - 6*n**2 + 22*n**2 as d + g*n**2 + b*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45482 is divided by 14679.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 5*v - 4. Let a be d(3). Let h(f) = -f**3 + 6*f**2 - 4*f - 1. Let k be h(4). Solve a*o = 7*o + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, -3, -5 in increasing order.\nAnswer: -5, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/30 - 11*v**5\/60 - v**4\/8 + 4*v**3\/3 + 23*v**2 + 2. Let a(q) = q**3 - 4*q**2 - q + 3. What is -8*a(d) + 3*p(d)?\nAnswer: 4*d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/13, -5, 0.5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 160 = 5*j - 145, -3*j = -5*m - 31. Let x(k) = k**2 - k + 2. Let o(b) = -2*b**2 + b - 2. Calculate m*o(i) - 6*x(i).\nAnswer: 4*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9) - (-10)\/(-3). Let t be g\/(-8)*(1 + 1). Let n(l) = 14*l**2 + l. Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002575 rounded to five dps?\nAnswer: 0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -22. Let s = 392 - 245. Find the common denominator of -34\/21 and s\/(-90) - x\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 48*g + 147. Let p be w(-3). Suppose 10 = 2*c - 5*n - 33, -2*n = 6. Suppose -10*l = -c*l + 28. Solve -i - k - l = 0, -2*i + p = -4*k + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 7*o**2 + 21*o**2 + 20*o**2.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002246 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a + 1. Let j(x) be the second derivative of -2*x**3\/3 - 7*x - 2. Determine 7*j(d) - 3*n(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:39 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 161*t + 7326. What is k(-37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -45*r - 25. Let i(q) = -q**2 - 46*q - 30. Give 5*i(x) - 6*p(x).\nAnswer: -5*x**2 + 40*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 85. Let h = -16 - -4. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 358875650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 858, 1993, 3128, 4263?\n\"Answer: 1135*f - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 7919\nAnswer: 11\/7919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 54 (b) 3 (c) -0.001 (d) 27 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 55*t**2 - 341*t + 62. Let m(n) = 11*n**2 - 66*n + 12. Let o(c) = -31*m(c) + 6*x(c). Let y(p) = 47*p - 3*p**2 - 47*p. Give o(y(j)).\nAnswer: -99*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 124*f**3 - 2*f**2 + 6*f + 3. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let x = 14 - 21. Let y(s) = s. Let c(i) = -3*i. Let m(a) = x*y(a) - 2*c(a). Calculate f(m(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*s + 21 = 0, -n - 26 = 3*n - 3*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 37*c**3 - 1 + 0 + 39*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -218*f - 24019. What is m(-110)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n**(-2\/105)\/n)\/n)\/n*n*n**(3\/8)*n*n**(6\/7)\/n*n*n*n**(3\/2)\/n*n)**50 assuming n is positive.\nAnswer: n**(19795\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 98 = -13*g. Let t(h) = h + 2. What is t(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1016\nAnswer: -101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(98) + 0)*4 + (sqrt(98) - ((6*(-2 + sqrt(98)) - sqrt(98)) + sqrt(98))))**2.\nAnswer: -968 + 672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2544)\/(-1908))\/((-4)\/69)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let d(c) = -c + 4. Let h(g) = -g + 5. Let o be h(8). Let p(a) = -3. Let x(r) = o*d(r) - 4*p(r). Determine n(x(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -51. Let b(i) = 3*i + 50. Let g be b(s). Solve -4*n = 3*h + 3, g*h = 4*h + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**5\/((z*z*z**(-1\/5))\/z**(-8)) assuming z is positive.\nAnswer: z**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 9*u + 27*u.\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536270 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c + 3*b + 1552, 5*c - 1550 = 5*b. List the prime factors of c.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 258 + 20)*(-14*f**4 - 6*f**4 + 4*f**4) to the form s*f**2 + a*f + i*f**4 + c + l*f**3 and give i.\nAnswer: -5808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:52 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 51 - -2 - (0 - (4 - 10)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 - 244\/(-242). Let i = -237\/605 - y. Let g = 2\/203 + -436\/3045. Which is the nearest to -0.1? (a) -0.3 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 60. Let w(k) = -k**2 - 3*k. Let y(n) = 2*n**2 + 7*n. Let g(o) = m*y(o) + 9*w(o). Let i(q) = 5*q**3 - 5*q**2 + 5*q. Give 5*g(l) - i(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 578 + -2888\/5. Let z = 71 + -145\/2. Which is the second biggest value? (a) z (b) i (c) -9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*d**3*f**2 + 214*d**3*f + 1090*d**3 - 3*d**2*f**2 - 14*d**2 + 2*d*f**2 + 115*d*f + f**2 + 9*f wrt d?\nAnswer: -138*f**2 + 1284*f + 6540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:50 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 16, i: 3, t: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/7 + 346*j**3\/7 - 3440*j**2 + 51296*j = 0 for j.\nAnswer: -229, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/8 + r**3\/2 + r**2. Let k be u(3). Suppose -166 = -4*t - 2*f - k, 4*f = 5*t - 186. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, d: 2}. What is prob of sequence ffd?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.219623 rounded to one dp?\nAnswer: 110.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 + 13*b + 2. What is the least common multiple of 20 and s(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 87. Let j = f - 32. Is j bigger than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 7*s**2 + s + 2*s**2 as i*s**2 + y*s + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 250 in increasing order.\nAnswer: -5, -3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -241113?\nAnswer: -241113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Suppose q - v = 1. Suppose 0 = 3*a + a + f - 81, q*f = -2*a + 42. Solve l - a = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 4*d + 14, -3*q = -2*d - 52. Let w be (-141)\/(-27) + -5 - (-32)\/q. Suppose -t + 257 = -w*g, 2*t = t + 4*g + 267. List the prime factors of t.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopppipoi. What is prob of sequence poop?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 7*q + 2. Let u be d(-7). Suppose u*i = -3*i. Suppose i*o + 129 = 3*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4332 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: Evaluate 4\/((8911\/(-190))\/(-67)*(-15)\/(-168)*2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4. Let s(u) = u**2 - u - 1. Let n(l) = -l**3 - 5*l**2 + 4*l + 4. Let x(i) = -n(i) - 5*s(i). Let k = -12700 + 12698. Determine k*x(m) + f(m).\nAnswer: -m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8 and -101\/30845904.\nAnswer: 30845904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -97. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-7 + 82680\/(-2360)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -6, -26, -66, -132?\n\"Answer: -u**3 - u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**3 + 8*b + 3*b**3 + 0 + 2*b**2 - 10*b**2 - 7. Let p be h(-8). Suppose -p = -k + 26. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 930033062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 2*k + 3*k**3 - 2*k + 112*k**3.\nAnswer: 101*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 27, 39, 53?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172084 (base 9) to base 10.\nAnswer: 106510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + 1 + 1 + 0 + (3 - 3 + 2)*(6 - 1 - 4))*(7 + 4*x - 7).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 20*q**2 - 3*q - 1. Let b(n) = 41*n**2 - 7*n - 2. Let v(u) = -4*b(u) + 9*c(u). Is v(1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)\/(r*r**(-1)*r*r*r)*(r*r**3)\/(r\/r**2*r) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + -102. Suppose 0*o = 2*o - i. Suppose 19 + 3 = 2*k + 5*d, 2*k - o = 2*d. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39090? (a) 2\/19 (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:15 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from pposdzpoppzoozz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(o + 0*o + o) + (-158 + 2426 - 1136)*(0*o - 3*o + 4*o).\nAnswer: 1130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67437915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2197 > -2197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -373\/15 + 71\/3. Let m be (-81)\/(-729) - ((-18)\/(-378))\/(12\/(-14)). Put m, v, -0.4 in descending order.\nAnswer: m, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1021200?\nAnswer: 1021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1, 78, -475, -1, 0 in ascending order.\nAnswer: -475, -20, -1, 0, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/1*(-1)\/3. Suppose -y*k = 3*k - 15. Suppose 3*x + c - 2 = -8, -5*x = 2*c + 9. Sort 2, k, x.\nAnswer: x, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(((-585)\/(-1404))\/((-45)\/10)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 43. Let x = -7 - -3. Let f be (-20)\/(-16)*1\/5. Which is the biggest value? (a) x (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 316474004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 divided by -23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 312*y. Let n(t) = t**2 + 15359 - 15359 - 3*t**2. Calculate x(n(j)).\nAnswer: -4*j**4 - 624*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226170 is divided by 245214.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110922*z**5 + 4*z**4 - 71662*z + 16 wrt z?\nAnswer: 2218440*z**3 + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/24379500 and -77\/72?\nAnswer: 146277000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 3. Let j(z) be the third derivative of -z**4\/12 - z**3 + 5*z**2. Let h(d) = 6*j(d) + 14*x(d). Let u be ((-10)\/8)\/((-2)\/(-8)). What is h(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 135*r**2 - 9*r - 67. Calculate m(-45).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 9*a + 114. Suppose -c - 27 = -a. Suppose 0 = -c*i + 3*i + 16. Solve 4*y + i = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 1. Let z(y) = 5*y**2 - 12*y - 11. Let j(b) = 6*k(b) + z(b). Let w be j(-11). Let c = w - 13. What is c rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*m = -3162. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 - 9*k - 9. Let z(c) = c**2 - c - 1. Suppose 11 + 115 = 7*n. Give n*z(v) - 2*y(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 plus -0.0514?\nAnswer: 151.9486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 53*y - 36*y. Suppose 0 = -r - 4*g - 4 + 7, -2*g + 3 = r. What is the third smallest value in 0.11, 0.1, y, r?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140587240?\nAnswer: 2, 5, 13, 1051, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 2699*i**3 - 207*i**2 + 203*i**2 - i - 6*i.\nAnswer: 2699*i**3 - 4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 36*u - 3*u**3 - 11231 + 2*u**3 + 11244 + 10*u**2 - 37*u. Let j = 6 - -1. Suppose 8*a - 10 = j*a. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-21)\/(-2)) + 372\/(-21). Let n be -6*t\/(-24) - -4. Which is the third biggest value? (a) n (b) -28 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9876*t + 237037. Give w(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = 2*p, 24 = -y - 5*p. Solve s = 2*a + 7, 2*s - s = -y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 2\/3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3701336 (base 11) to base 10\nAnswer: 6443773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aapp when four letters picked without replacement from {p: 2, u: 1, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 14 + 0)*(0*i - 2*i + 4*i + (-3 + 3 + 1)*(i - i - 2*i) - i + 0*i - i + 0 + 0 - i - 1 + 1 + i + 1 + 3*i - 1) as p + d*i and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n - 4*h + 27 - 45, -22*h + 44 - 225 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/23 - 221092*s**2\/23 + 2*s\/23 + 221092\/23 = 0.\nAnswer: -110546, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17177, 68604, 154297, 274250, 428457, 616912?\nAnswer: 839609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + 4\/4 + -1. Solve j - 25 = -5*g, -g = -m*j + 5*j + 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/8)\/(((-21)\/6)\/7). Let i(p) = -1. Let q(a) = -a + 3. Give y*q(u) - 6*i(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + m + (-1 + 4 - 1)*(-1 + 1 + m))*(5*m**3 - 93*m**4 - 5*m**3).\nAnswer: -279*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.53 - -13.47. Let r = 0.56 - 3.56. Is h smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -210?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -34. Let h = m + -14. Which is the biggest value? (a) 1\/5 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 19*r**2 - 21*r + 71. What is y(18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*s = -8*k - 3, 2*s = 3*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 105 + 429. What is the lowest common multiple of 63 and t?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 2)*(0 + 3 - 2) + 7 + 2 - 13 + 3 - 3 + 1)*(-11*b + 41*b + 14*b) to u*b + t and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 5\/3*f**3 + 1\/2*f**4 - 3 - f**2 - f**5 + 0*f. Find n, given that y(n) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 + 137. Suppose 5*z - 109 + 84 = -3*m, -2*z - 3*m + 19 = 0. Sort z, 1, w in descending order.\nAnswer: z, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyajaaykkvvvyyyvny. Give prob of sequence ay.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 362, 0, -9, -4 in increasing order.\nAnswer: -9, -4, 0, 3, 5, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4687436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 20. Let n be l(6). What is the units digit of (n + 160)*(-2)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**7\/75 - 6*w**6\/25 + 13*w**5\/10 - 5*w**4\/6 - 101*w**2. Factor z(x).\nAnswer: 2*x*(x - 5)**2*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*d + 8*d - 278*d)*((-1 + 2 - 2)*(1 - 4 + 1) + 2 - 3 + 2)*(-3 + 4 + 0)*(2 - 1 + 2) + d - d + 2*d in the form o*d + f and give o.\nAnswer: -2194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 71*l + 3191. Let c be p(-45). Sort 1, 13, -2, -3, c.\nAnswer: c, -3, -2, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060 - 1060 - 6*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 7. Determine m(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9135\/(-1885) - (2 + -7). Is 8\/9 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/3 + 102*d**2 + 81739*d\/3 - 27348 = 0.\nAnswer: -172, 1, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + 7 - (-2 - 0). Let k(q) = -q + 2. Let d be k(x). Suppose -d*o = -4*i + 5*i - 5, 4*i = 20. Solve o = 4*y - s + 17, -s = y + 4*y + 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 + 3 = 0. Let m(g) = 3*g**3 + 2*g**2 - g + 4. Calculate the remainder when o is divided by m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 905, 2009, 3533, 5465, 7793, 10505, 13589?\nAnswer: 17033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 731502.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148.0066 - -1.2534. What is s rounded to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 19. Calculate the greatest common divisor of m and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/12 - 12*s**3 + s + 14. Find the second derivative of h(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + 5*f**5 + 4*f**5 + (-6*f**3 + f**3 + 3*f**3)*(4*f + 4 - 4)*(-3*f + 0*f + f).\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -28*f. Let w(x) = 17*x - 10. Give w(y(v)).\nAnswer: -476*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 29*c**3 + 0*c**2 + 5*c**2 - 30*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -491325 (base 10) in base 7?\nAnswer: -4114302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4704000 rounded to the nearest ten thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nno when three letters picked without replacement from {n: 3, z: 4, v: 1, o: 7, r: 1, y: 2}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and -556597.\nAnswer: -556610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 11*z - 35. What is o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + 16. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20632131277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -13112.8?\nAnswer: 380271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*w - 43, 16*q - 14*q - 2*w = 110. Solve q*z = 49*z - 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449267 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*j - 6. Let y(w) = -6*w + 4. Suppose -4*m = -8 - 4, -2*m + 42 = 3*c. What is the remainder when y(j) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-554)\/12 + 12\/18. Let q = -320\/7 - b. Calculate the common denominator of q and 99\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 4*x - 472 = -19*v, -3*v - 3*x = -753. What is the highest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 2, n: 2, b: 1}. What is prob of sequence bffe?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -20. Suppose i = 3*q + 2*q. Find the third derivative of -2*k**2 - q*k**2 + 3*k**2 - 3*k**5 wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005844 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-1232)*-20*(-262)\/(-1965)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152447279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 2 + 1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 12*j**2 + 59*j + 3044. List the prime factors of p(-41).\nAnswer: 2, 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, i: 2, b: 5}. Give prob of picking 1 b and 1 f.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2410325 and -67\/55.\nAnswer: 26513575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*h - 11, -2*y - 3*y - 2*h + 42 = 0. Let r(o) = -o**3 - 25*o**2 - 28*o - 58. Calculate the remainder when r(-24) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 69224\nAnswer: 207672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2023\/2966 - 270\/1483. Factor -6 - 11\/2*b + t*b**2.\nAnswer: (b - 12)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 970 = -1354 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48391 - 28885*w + 2485*w - 3620*w**2 + 5899 - 5*w**4 - 36952 + 7444 - 220*w**3.\nAnswer: -5*(w + 10)**2*(w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-21))\/((-72)\/(48\/4))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1*(1 + -3)). Suppose -5*j + 25 = i, f = -4*j - 0*j + 24. Suppose -f*z - 120 = -8*z. What is the remainder when 88 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3488 - 3445. What is the highest common factor of u and 3483?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b313 (base 13) to base 11.\nAnswer: -17606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-420)*7*(-35)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 606 - 658. Let k = s - -51. Which is the nearest to -0.1? (a) 1\/4 (b) -2\/9 (c) k (d) -0.036\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*30*380*(-208)\/(-49400).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 2:53 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -6, 4 in increasing order.\nAnswer: -6, -3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 2*j**3 - 3*j**3 + (0*j**3 - j**3 + 0*j**3)*(-1 + 2 + 1 + (5 - 3 - 4)*(-3 + 1 + 4)).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + (-429)\/(-55). Let v be 12\/b*(-20)\/(-6). Suppose 4*k = -5*d + 6, 2*k = -3*k - v. Sort d, -13, 5.\nAnswer: -13, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13 - 29 - 2*g + g. Let u be f(-13). Let l(v) = -v**3 - 4*v**2 - 3. Determine l(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:00 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*y + 4, -5*b - y = 29 + 14. Let x be 222\/b - 48\/(-64). Which is greater: -21 or x?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72404136151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*j + 779 = 947*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (3 - (-3 + 5 + -18 + 33)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h + 16 = 8*h - 92 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3933, -3926, -3919, -3912, -3905, -3898?\n\"Answer: 7*q - 3940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 + 534*r**2 + 3240*r = 0.\nAnswer: -6, 0, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -4*s - 189, 2*f = -s - 39. Let l = -40 - s. Solve d = -l*y - 17, 2*d + 2*d + y - 8 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -7, -14, -27, -46, -71?\n\"Answer: -3*o**2 + 8*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/6 + 3*p**2 - 7*p. Let s(f) be the first derivative of l(f). Let t(z) = -z**2. Calculate s(t(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -237*p + 466*p + 9*p**2 - 229*p. Let m(v) = -3*v. Determine j(m(l)).\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*x - 145. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2217*q - 281060. What is v(135)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -41107?\nAnswer: -41113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 + 43698724*k**2 + 262192452*k + 393288732 = 0 for k.\nAnswer: -3, 10924687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11649042 plus -620.64?\nAnswer: -11649662.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/26 - 335\/(-65). Suppose -5*z = -v + 23, v - w*z - 8 = 5*v. Suppose 24 = l + 4*h, -2*l - 2*h - 48 = -v*l. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -596, -1189, -1782, -2375?\n\"Answer: -593*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-36)\/(-432))\/(2\/90))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4 - 8. Let o = 100.9 - 101.1. Which is the closest to o? (a) t (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 107755.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 - 185. Let b(q) = 7*q**3 + 2*q**2. Let g(o) = -36*o**3 - 11*o**2. Determine r*g(y) - 11*b(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t - 7. Determine c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.7641749828 - -21.\nAnswer: -89.7641749828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2005144580 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 552.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -338516 times -4\nAnswer: 1354064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19296 and 19296?\nAnswer: 19296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*1*30\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3685363*c*w**2 + 338*w**2 - 3106*w wrt c?\nAnswer: 3685363*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.3 - -12. Let t = q - 5.7. Put t, 0.1, 4 in descending order.\nAnswer: 4, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6535*t + 115*t**4 - 97*t**2 + 2 + 6535*t + 12*t**2 wrt t?\nAnswer: 2760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*y - 42, 3*l = -y - 33 + 111. Let j = 50 - l. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1028935, -1028934, -1028933, -1028932, -1028931, -1028930?\nAnswer: -1028929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/4, -0.07, 0.6, 2, -0.04?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 919814993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-160)*-14*(-20)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -31*v - 77. Let j be d(2). Let x = j - -150. Solve x*r - 13*r = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 178079 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 37. Suppose t + 15 = 4*t, -349 = -4*v - t. Is l greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 1. Let h be b(-4). Let c = h + -23. Is 549\/2*(-4)\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 - -0.11. What is the nearest to 4 in 0, -2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 231, -14 in decreasing order.\nAnswer: 231, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/967 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 + -200.479.\nAnswer: 31.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 480417, 1921668, 4323753, 7686672?\n\"Answer: 480417*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 9*m**2 + 9*m - 5. Let y be s(8). Let h be 6\/(2 - 10\/8). Suppose -y*g = -g - h. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108245292.\nAnswer: 2, 3, 53, 170197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + v = 192, -3*g + v - 286 = 0. What are the prime factors of 3\/18 + g\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/29485 and -94\/110126475.\nAnswer: 110126475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**2 + 5*z + 2\/3*z**3 + 0. Let r(d) = 9 + 3*d - 4 - 5. What is r(a(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011011100000101 (base 2) in base 8?\nAnswer: -733405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00711442 rounded to 5 dps?\nAnswer: -0.00711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4, -3*v + 5*u + 6 = v. Suppose -14 + 54 = v*p. Solve -i + 5*z - 2*z = -8, -z = -4*i + p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 8745 = -9009 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 2*t + 29, u + t - 35 = 0. Let s = u + -23. Let m be ((-12)\/s)\/(-6) - 8\/(-10). Solve 0 = 2*l - n - m, -3*n + 26 = 5*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 - 3\/3). Suppose y + 3 - 1 = z. Let w(x) = x**3 + 3*x**2 + x. Calculate w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 7. Suppose -a + 2 = t, h = -4*a - 12. Let d be 4\/(-10)*(-15 - h). Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15139 is divided by 1009.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*o + 5462*g**3 + 13177*g*o + 2*g - o wrt g?\nAnswer: 12*g*o + 32772*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -7*u + 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*v = 0, -2*t - 2*t + 2*v + 8 = 13 - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102964.1 tonnes in micrograms?\nAnswer: 102964100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3198088 + 7343*g**2 - 3198088 as b*g + u + s*g**2 and give s.\nAnswer: 7343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/c**(2\/13))\/c))\/c)\/(c**(5\/3)\/c)*(c**6\/c)**(2\/109))**(-1\/14) assuming c is positive.\nAnswer: c**(895\/29757)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = 54. What is the remainder when 63 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 31*o - 3226 + o**3 + 1077 + 1078 - 11*o**2 + 1076. Give p(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (12 - (-49 - -13)) - (21 + -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -79014, 0, 3 in ascending order.\nAnswer: -79014, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 596*b**4 + 19592*b**3 - 2685917*b**2.\nAnswer: 14304*b + 117552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 186 = -5*z + 215, -4*z = a - 18. Let s = -2 + 5. Calculate the remainder when (38*a)\/2*s\/(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71055*c**6 + 2*c**4 + 326928*c**2 wrt c?\nAnswer: 8526600*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/57, 1\/2391 in ascending order.\nAnswer: 0, 1\/2391, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62169.96 and 86.181?\nAnswer: 62256.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -184*p + 7539. What is v(41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(-3 + (-10)\/(-5) + 0). Solve 2*c - h*c = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2005\/122, 2, -1, -7, 1 in increasing order.\nAnswer: -2005\/122, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 divided by 3?\nAnswer: -314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/6)*a**(-2)\/a*a)**(1\/3) assuming a is positive.\nAnswer: a**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13*t + 3. Give m(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5512.59804 rounded to the nearest ten?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:36 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45685755*r**2 - 13945913 with respect to r.\nAnswer: -91371510*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171) + sqrt(38)\/(sqrt(18)\/sqrt(9)) + sqrt(19) - (sqrt(19) - (2 + sqrt(152)\/sqrt(8) - sqrt(19)) - (-5 + sqrt(19) + -1 + sqrt(19))))**2.\nAnswer: -72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -10*2\/(-4). Suppose 0*g + 18 = 3*g. Let t be (-7)\/(-3) - (-4)\/g. Are v and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 48*t + 115. Determine c(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01961 to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 2 + 0)*(11 + 6 + 20)*((-3 - 2 + 3)*(3*x + x - 6*x) - x - x + 3*x).\nAnswer: -3885*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 16 = -2*l, -5*b + 6*b = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537.658262 nanoseconds in weeks?\nAnswer: 0.000000000002542424375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8*f = -10*f - 10, -7 = -5*v - f. Suppose 0 = -3*r + 5*x + 238, 0*r - 244 = -3*r - x. Suppose 21 = -4*q + r. Put -4, q, v in descending order.\nAnswer: q, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -332, -532, -732?\n\"Answer: -200*i - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1121*-10152.9\nAnswer: 1138.14009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**7\/70 - p**5\/20 - 4*p**2. Factor v(j).\nAnswer: 3*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.13 (c) 25 (d) -2 (e) 0.06 (f) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062*-0.188.\nAnswer: -199.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27778, 27515, 27254, 26995, 26738, 26483?\n\"Answer: o**2 - 266*o + 28043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 16*v - o - 3 = 0, -5*v - o - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000099107 rounded to 6 decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1396?\nAnswer: 5584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:46 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -20. Suppose -q*k = -38*k + 3. Which is the closest to -1\/3? (a) k (b) -10 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608927?\nAnswer: 29, 89963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -64737\nAnswer: -129474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8865, 8806, 8763, 8736, 8725?\nAnswer: 8730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10858 - -16119. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 11150.\nAnswer: -33450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 + -24 + 814\/1980*15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 340*k - 107. Give n(113).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83, 276, 583, 1004, 1539, 2188, 2951?\n\"Answer: 57*m**2 + 22*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpxxqqqpq. What is prob of sequence pqqx?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -205, -726, -1747, -3436, -5961?\nAnswer: -9490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 3*x)*(x**3 - 11*x**3 - 3*x**3).\nAnswer: 39*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.523153 centimeters to micrometers.\nAnswer: 55231.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 - 10110010101?\nAnswer: -10101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 times -5?\nAnswer: -3860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 9 - 7) + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*r + 108 + 432 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 5*h**2 - 2*h + 29. Let f be m(-6). Let z(a) = 2*a**3 - 7*a**2 + 2*a + 6. What are the prime factors of z(f)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1825500 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 - 7*a**3 + 712*a**2 - 4 - 3*a + 5 - 710*a**2 - 3 to m*a**2 + z*a + o*a**3 + n + g*a**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1767 and -131.1.\nAnswer: 1635.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3)*696\/(-580).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -20. Suppose 0*h = -3*h + 9. Suppose 2*o + 8 = 0, -3*a + h*o + 3 = -0. Put a, -2, f in descending order.\nAnswer: -2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 4*r**2 - 2*r - 3. Let t(q) = -5*q - 77. Let c be t(-16). Let g be v(c). Solve 0 = -4*k - g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 59. Let b = -0.1 + 0.3. Let q = b + 0. Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/12)\/((-123)\/(-656))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4\/6 + (-10314)\/(-81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let m(k) = -k**2 - 2*k - 2. Let s be m(-2). Put b, s, -5 in descending order.\nAnswer: b, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 338, 1061, 2272, 3977, 6182?\n\"Answer: t**3 + 238*t**2 + 2*t + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**3 + 1 - 5*v**3 + 4*v**3. Let m(y) = y**2 - 3*y - 3. Let j be m(4). Is n(j) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/19304 and 115\/12.\nAnswer: 57912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66990, -67094, -67196, -67296, -67394, -67490, -67584?\nAnswer: -67676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 16, -0.01, 5116 in descending order.\nAnswer: 5116, 16, 1\/3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -450, -747, -790, -453, 390, 1865, 4098, 7215?\n\"Answer: 21*u**3 + u**2 - 447*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*s + 778, 3*s = -4*b + 2*s - 1565. Let g = 4699\/12 + b. Calculate the common denominator of g and -38\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aabd when four letters picked without replacement from adbbbabjl.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/24 - 1\/6) + -775. What are the prime factors of -2 - 1 - (i + -1)?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-81 - 2)*95\/(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {k: 2, b: 4, j: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*t = 12, -5*f + 2*t = -14 - 0. Solve -s = -c + 9, 3*c + 3*s + 1 = -f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19528 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 345 or 212354\/613?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z = 155*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 2. Let z be u(-2). Solve -z*d = 5 + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, z: 1, j: 5, t: 8, i: 1, l: 2}. Give prob of sequence zj.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) -0.2 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15120 divided by 630\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10001012 (base 3) to base 6\nAnswer: 14135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -38. Suppose -10 = -5*x, -2*b + b - 1 = k*x. Which is greater: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 45*t = -5*y - 15, 2*t - 4*y - 12 = 0. What is the closest to t in -2, -0.04, 14, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 194 + 200 = 0. What are the prime factors of r?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 21*z**2 + 5 - 176*z**2 + 2.\nAnswer: -197*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-2)\/(-76)*1268\/(-2536)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 90.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 129 (b) 4\/5 (c) 2\/5 (d) -1\/5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(q - q + q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 - 3*i - 1. Suppose -7*z + 254 = 44. Let j be (z\/135)\/((-10)\/(-9) - 1). Suppose 3*k = -2*f - 19, -5*k - 23 = f - j*f. Determine t(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-33))\/m)\/(m*m**(-47)*m*m*m))\/((m*((m\/(m*m**(-11\/7))*m*m)\/m)\/m)\/m)**(5\/3) assuming m is positive.\nAnswer: m**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89386384 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 5*j**2 - j - 4. Suppose 2*d + 4 = -6. Let x be m(d). Calculate the highest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 5*a - 4. Let z be l(-6). Suppose z*k + 10 = -k + 4*x, 0 = 4*x + 8. Let r be (-2)\/(-3)*-6*(-1 + 3). Are r and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + -253 - 1)\/((-6)\/2) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 + 6*s - 22. Let c(q) = -14*q**2 + 17*q - 65. Let z(x) = -4*c(x) + 11*p(x). What is the tens digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 + 4*z**3 + 6*z + 2*z**2 + 0*z**3 - 9*z**3 to v + g*z**2 + y*z + j*z**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1808243 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39954.\nAnswer: 2, 3, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*(-6)\/4. Suppose -5 = -h, a*f - 2*h - 35 = -f. Let g = -79 + 109. Calculate the greatest common divisor of g and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 62. What is the lowest common multiple of j(-8) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/55 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*r + 473*r - 48 = 234*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47584894.\nAnswer: 2, 7, 733, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -7073\nAnswer: 2829.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14204012 + -2?\nAnswer: -14204014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1295343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(4 + 5*-2*sqrt(1053))**2 - (((sqrt(1053)*-2 - sqrt(1053)) + sqrt(1053) + 5 - (2 + 0 + sqrt(1053))) + 4)).\nAnswer: -2853*sqrt(13) + 421257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323718129.\nAnswer: 3, 7, 5138383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1752)\/8103*555\/(-90)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 10843047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 5*-12)\/(-1). Is -129\/2 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.927 and 11023.\nAnswer: 11019.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2114 divided by 4.\nAnswer: -1057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 0, -2*z + 19 = 3*z + 4*i. Let r(q) = 4*q - z*q - 6*q + q**2. Let a be r(5). Solve a = -2*t - 5*k - 8, -6*k + 2*k = t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:11 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 c when three letters picked without replacement from {y: 1, h: 3, l: 2, r: 1, c: 3, t: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Let y = w + -2. Let f = 3 + y. Solve -4*t - 4*k = 20, -4*k - 20 = -f*t - 0*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-8) + (-2)\/(-8). Let h(p) = -13*p + 143. Suppose -m - 12*m = -130. Let f be h(m). Solve 0*i + 2*i = 3*v + f, -o*v - 1 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.94101069.\nAnswer: -0.84101069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.25 (b) -1\/4 (c) 1\/2 (d) -5 (e) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30b5935 (base 12) in base 14?\nAnswer: 131546d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 minus 941846327?\nAnswer: -941846327.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 444016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (0 + 2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0 + 0*g - 1\/15*g**6 - 26*g**2 + 0*g**5 + 2\/3*g**4 + 0*g**3. Find the second derivative of c(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v + 49. Let n be f(-18). Does -2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + k + 38524 = 0, 37850 + 10316 = 5*n - 4*k. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 - 13 = 0. Suppose s*r + 5 = 0, -2*q + 3*r + 9 = 2*r. Suppose 6 = 2*i - q, f + 15 = 4*i. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*j + 1. Let p(w) be the first derivative of -j + 0*w**3 + 3*w**3 - w**3. Let b(x) = x**2. What is p(b(r))?\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -26. Let t(m) = -5*m**2 - 9*m - 5. Let y = 11 + -15. Let j(z) = 6*z**2 + 10*z + 5. Let c(b) = y*j(b) - 5*t(b). Give c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 11*b - 43. Let g(t) = -t**3 + 9*t**2 + 2*t + 4. Let a be g(9). Suppose -7*r + 9*r - a = 0. Is i(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/177285 (c) 2159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -102301 (base 6) to base 8\nAnswer: -20175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 13662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, x: 1, p: 1, k: 1, n: 1}. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.95 + 4.33. Let o = u - -0.62. Let g = -39.042 - o. Round g to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/108 and ((-1080)\/7968)\/(-9)*(-231)\/15.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 8:53 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 130*f**2 + 773*f\/2 + 257.\nAnswer: (f + 1)*(f + 2)*(f + 257)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - -11003?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 + 0)*(0*w**4 + 3*w**4 + 0*w**4) - w**2 + w**2 + w**4)*(-6*w + w + 3*w).\nAnswer: -26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -27473, -154, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 142*p + 1414. Let y be t(12). Sort -5\/4, y, -4\/5 in descending order.\nAnswer: -4\/5, -5\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647795?\nAnswer: 5, 23, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -30*s - 2. Let i be (-2 - (2 - 3)) + 11. Suppose 10*n + n = 44*n - 99. Let r(d) = i*d - n*d - 3*d - 6*d. What is z(r(h))?\nAnswer: 60*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000543 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 647, 619, 585, 545, 499?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -86?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/15*(-18)\/(-4). List the prime factors of (2\/w)\/((-12)\/342).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrznzrzrrvzrzrrrzrz. Give prob of sequence vrzr.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 56*o**2 + 36*o**2 + 21*o**2 - o - 96*o to the form r + l*o**2 + n*o and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 - 4*a - 7. Let d be l(6). Let j = 7 + 33. Calculate the highest common factor of j and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 1\/3 (c) -3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 - 2*w**2 - 3*w - 2. Let c(r) = 10*r**3 - 7*r**2 - 10*r - 7. Let x(j) = -5*j + 13. Let m be x(4). Determine m*d(n) + 2*c(n).\nAnswer: -n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 83, 103, 103, 83?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41047, -41121, -41245, -41419?\nAnswer: -41643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 25536 and 25537 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 4 - -2 - -1. What is the derivative of -9*k**b - 16*k**4 - k**2 + 10*k**2 - 13 wrt k?\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {j: 1, i: 2, o: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(3\/4))\/(z*z\/(z\/(z*z*z**(-1\/11)))*z*z))\/(z**(1\/4))**(3\/16))\/((z**(-1\/6)*z**(2\/9))\/((z\/z**(-3\/4))\/((z**5\/z)\/z))) assuming z is positive.\nAnswer: z**(-38089\/6336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -0.05.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -1233745.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 2\/507, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -94349 greater than or equal to -94900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h + 0*h + 0*h)*(3 - 3 - h) + 3 - 3 - 3*h**2)*(2*h - h - 2*h) - 1 + 1 - 2*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*j - 8064 = 205*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.4 (b) -1817 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002468 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppgzxee. Give prob of sequence gpxz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t + 121. Calculate the smallest common multiple of 2 and z(31).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15902 - -524707\/33. Let y = 15\/89 + -2585\/2136. Find the common denominator of u and y.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -777*y - 78*y + 61*y. Let n(d) = 2*d**2. Determine n(w(r)).\nAnswer: 1260872*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12638, -1692, 1?\nAnswer: -1692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 570?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36620457*o**2 - 39364315.\nAnswer: -73240914*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = -2*z. Let f be z*(-1 + 0) + 0. Let i(r) = -11*r. Is i(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/2 + 223*b**3\/3 - 7268*b**2\/3 + 4673*b\/3 + 4747\/6 = 0.\nAnswer: -1\/3, 1, 47, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 10*z - 45. Calculate the remainder when 52 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 16*x - 17. Calculate r(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -745228*a**3*h - 3*a**2*h + 2*a*h - 33*a - 34994*h wrt a?\nAnswer: -4471368*a*h - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in 4, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**4 + 24*o**4 - 2*o - 41*o**4 + o**2 - 3 to m*o**3 + i*o**2 + c + h*o + u*o**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120122011101200 - 10?\nAnswer: -120122011101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64404 is divided by 1253?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/525816 and 47\/18?\nAnswer: 525816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 2 - 2)*(27 + 10). Solve 0 = 9*t + 8 + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14763\/444 + (-568)\/224 + 4 + (-2)\/(-7)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -27*k**2. Let x(q) be the first derivative of -5*q**3\/3 - 69. What is x(b(v))?\nAnswer: -3645*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89962 by -4.\nAnswer: 44981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -872*q**2 + 282 + 3238*q**2 - 282 in the form c*q**2 + o + z*q and give c.\nAnswer: 2366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {i: 7, n: 4, v: 6}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 4*c**2 - 4*c**2 - 15*c + 2 + c**2. Is 3 a factor of o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12254741 (base 9) to base 16\nAnswer: 5b8e92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/7909 + -893663\/142362. What is the common denominator of w and 29\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 2}. Give prob of picking 1 g and 2 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15401, -15532, -15757, -16076, -16489, -16996, -17597?\nAnswer: -18292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71915845?\nAnswer: 5, 41, 350809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:25 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/71 (b) -0.14 (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**7\/210 + 9*x**6\/50 - 3*x**5\/10 - 14*x**4\/15 + 609*x. Let f(l) = 0. Calculate l.\nAnswer: -28, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 9*z - 8. What is the smallest common multiple of h(-7) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 627469\/158520 - -1\/26420. Find the common denominator of a and 74\/135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1638 - -4915\/3. Which is the second smallest value? (a) -2 (b) 0.5 (c) -10 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058648 is divided by 4563.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0188 and 858245.\nAnswer: 858244.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4994805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*f**4 - 6441*f**3 + 6441*f**3 + (-2*f**2 + 2*f**2 + 2*f**3)*(5*f + f + f) + 4*f**4 - 2*f**4 + 0*f**4.\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2406*t - 2476*t + 226148 = -533*t for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141\/4 - -2267\/60. Find the common denominator of 83\/6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (6*((sqrt(6171) - (-2*sqrt(6171) - sqrt(6171))) + sqrt(51)))\/(-4*-1*sqrt(192))*-3).\nAnswer: -6 + 1215*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*y**3\/7 + 2006006*y**2\/7 - 2477913970*y + 5382861282\/7.\nAnswer: -2*(y - 17293)**2*(29*y - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**9\/60480 - r**8\/2520 - r**7\/560 + r**6\/120 - 11*r**5\/20 - 35*r**2. Let w(t) be the third derivative of a(t). Give w(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/20 - j**4\/3 + j**3 + 5*j**2\/2 + 30*j. Let v be b(-5). Solve 2*x + x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 3) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/10*-2*1*(-200)\/80\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410692 + 2.\nAnswer: -410690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*l + 116*l = -36840. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = p - 376, p = -3*f - f + 756. Suppose f = s - 0. What are the prime factors of s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 2 + (191 - 210) + 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -3 (c) 6591\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 111000111?\nAnswer: -111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3240*x + 3245*x + 4*f + 17, 4*x - 4*f = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13 - 9 = 0. Let z be 1\/(i\/(-35)*(-70)\/56). Which is smaller: z or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 59*a = -80*a + 436 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2. Let v(p) = -11 - 13 + 12 + 4*p**2. Give t(v(k)).\nAnswer: -48*k**4 + 288*k**2 - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 5*n - 122, 2*n + 10 = 0. What is the lowest common multiple of x and 35?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 165, 246, 327, 408, 489?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -1.2. Let d = -30.5 + j. Let i = d - -35. What is the second biggest value in i, -0.2, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33290091?\nAnswer: 3, 647, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l**3 - 2\/75*l**5 + 0 - 17\/105*l**7 - 3*l**2 - 5\/56*l**8 + 0*l + 0*l**4 - 8\/75*l**6. Solve n(g) = 0.\nAnswer: -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 5\/9, 2\/7, 2, -198, -2\/15 in decreasing order.\nAnswer: 2, 5\/9, 2\/7, -1\/9, -2\/15, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*u + 96 = 0, 88 = 5*s + 4*u - 50. Let h = -87 - -84. Let c be 17 - 25\/((-15)\/h). Calculate the highest common divisor of s and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k - 3*n + 3, -n = 1. Is k >= -15\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/21200 and -57\/149248.\nAnswer: 3731200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d - 0?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdqqdqdqqqqqqqq. What is prob of sequence dqq?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4810010, 4810014, 4810020, 4810028, 4810038, 4810050?\nAnswer: 4810064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10368\/11 + 55008\/11*i + 1462*i**2 + 110*i**3.\nAnswer: 2*(5*i + 1)*(11*i + 72)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 303291324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588608 and 816?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450 = 39*u + 1748. What is the lowest common multiple of u and 186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*t - 1715829 + 1713411 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -472?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -27. Let n(h) = h + 18. Let a be n(r). Suppose -3*z + 2*o + a = 0, 4*z - 2*o - 3 = -o. Solve 4 = -4*m - z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-3*5 - (-950)\/(-190))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55353564.000019 + -55353533. Let v = 30.926 + 0.074. Let n = s - v. Round n to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138892, -138920, -138964, -139030, -139124, -139252?\n\"Answer: -t**3 - 2*t**2 - 15*t - 138874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -719 + 1293. Let p = -573 + h. Is 0.015 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*d = -213*d + 7747 + 2540 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -3\/4, -0.4, -1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 - 8 = 0. Let v be 1 + l + 2 + 4. Suppose 0 = -v*t - 1 + 81. What is the least common multiple of 12 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*1 + -5 + 4.\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4327, -17252, -38791, -68944, -107711?\nAnswer: -155092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1938, 2\/5, -2.8, -171?\nAnswer: -1938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5) - (sqrt(5) + -2*sqrt(20) + sqrt(5))**2).\nAnswer: -25 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-255) + 2\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0 + 5\/6*h**3 + 9\/2*h**2 + 1\/6*h**4 - h. Is j(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5244 divided by 1\nAnswer: -5244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:21 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 27*h - 1714. Let d be u(-30). Is -1410 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-40))\/3*((-42)\/(-18) - 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 167\/29? (a) 0.4 (b) -2\/11 (c) 5 (d) 1 (e) -1 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -28. Let c(x) = -x**2 + 1. Calculate c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 237*y**2 + 26*y + 323. What are the prime factors of d(12)?\nAnswer: 34763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34 - 3*t**2 - 35*t - 107 - 102 - 19*t.\nAnswer: -3*(t + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3823*c**5 + 3039*c**3 + 97982171*c wrt c.\nAnswer: 76460*c**3 + 18234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-10 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 398 and 0.2.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 54 + (3 - 2) - (2 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*b - 2. Solve 5*z = b*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2160 and 458760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3 - 7101*g**2 - 7102*g = 0.\nAnswer: -1, 0, 7102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:01 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Suppose -6*r + 78 = -n*r. What is the second derivative of -9 + 9 + r*b - 31*b**2 wrt b?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48930*t**3*w**2 - 61*t**2*w**2 + 39543*t*w**2 + 2*t + w**2 wrt t.\nAnswer: -293580*t*w**2 - 122*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*w + 18, -5*w + 2*w - 2*x - 13 = 0. Let a be (-1 + 369)\/(-2)*w\/(-4). Round a to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 91, 116, 141, 166?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**6\/120 - x**5\/10 + x**4\/3 - x**3\/3 - 3*x**2\/2 - 10. Let n(u) be the second derivative of r(u). Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let z be 1\/(-4)*5*l. Suppose 0 = -z*q - 0*q. Solve c = -q*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + z - 1. Let l(f) = -f**3 + 1. Let w be (4 - 5) + 1 - -3. Suppose -2*u = -2*c - 4, 2*c + 1 + 8 = -w*u. Calculate u*l(q) - t(q).\nAnswer: 2*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655691745 to the power of 1\/2, to the nearest integer?\nAnswer: 51533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 284406448 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/23 (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -355 + 1064\/3. What is the nearest to 2\/3 in -0.07, z, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12015 + 12015. Let s(r) be the first derivative of a*r**2 + 0*r - 40\/3*r**3 - 35\/4*r**4 + 44. What is the third derivative of s(b) wrt b?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.046 + 0.242. Let h = 0.537 + -0.897. Let r = h + y. Round r to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 + 1 + 0*k**2 + 0*k**2 + 5*k**2. Let x(d) be the first derivative of -d**4\/4 + d**3\/3 + 6. Determine -f(h) + 5*x(h).\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*h + 9*h. Suppose 11 + 24 = h*y. Solve l - r = -l - 9, 2*l + y = 3*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 1 + p)*(-12 + 21 + 102).\nAnswer: 111*p + 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1085, -2005, -2925, -3845?\nAnswer: -4765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 0 + 1 - 3 + 3 + (-1 - 2 + 4)*(-3 + 6 - 5))*(0 + 7 - 1)*(3 + 1 - 1)*(4*g - g + 3*g).\nAnswer: 432*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 16. Suppose -239 = z + 5*y, -z - 313 = -y - 56. Let w = -176 - z. Calculate the greatest common factor of w and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**3 - 15*p**2 - 436*p + 518757.\nAnswer: -21*p**2 - 30*p - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:35 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159183 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 4:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 1.37?\nAnswer: 13.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.01 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) + (-5)\/3. Let u be 4*n*2\/(-28). Let t = -0.8 - -0.3. Which is the closest to 3\/4? (a) t (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215883539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 48. Determine z(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-21)*2*3\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000919267 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/9))**(7\/3))**(3\/8) assuming a is positive.\nAnswer: a**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4767603 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 11*v + 1218. Let g = 759 - v. Suppose g + 154 = 5*w. What are the prime factors of w?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**13*c**6)**(-17\/5)*(c**4*c)\/c*c*c**(-2\/15)*c**(-5\/4)\/(c\/(c*c*c\/(c*c**(2\/7)))) assuming c is positive.\nAnswer: c**(10387\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/195, -879, 596 in ascending order.\nAnswer: -879, 2\/195, 4, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18641 - 18641.2. Let w = -1.1 + 1. Let n be (-2)\/4 + (-5)\/30. Sort w, s, n.\nAnswer: n, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 243015192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152352 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2267595, 2267600, 2267605, 2267610, 2267615, 2267620?\nAnswer: 2267625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255580, -511159, -766738?\nAnswer: -1022317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7*y = 4*m, -y - 13 = -3*m. Solve m + 7 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46202 and 41.\nAnswer: 46243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 660, 4, -42 in decreasing order.\nAnswer: 660, 4, -2, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17992483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 14*d**2 - 8*d - 93. Let b(l) = 6*l**3 - 33*l**2 + 17*l + 185. Calculate -3*b(n) - 7*s(n).\nAnswer: 3*n**3 + n**2 + 5*n + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9537696 and 10\/27?\nAnswer: 9537696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 467\nAnswer: 93.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297 + 557. Let v = 259.867 - h. What is v rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = -51 + 165 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 3*c = -87, -6*o - 4*c - 181 + 87 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1051 - 1050.074. Let d = 0.92599113 - z. Round d to 7 dps.\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 948430 divided by 7\nAnswer: 135490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k + 1. Let l be p(3). What is the greatest common divisor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t**2)*(-2*t + 2 - 2 + (1 + 5 - 2)*(-t + 4*t + t)) - 3 + t**3 + 3.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 + 11 = 0. Let a = z + 2. Suppose 4*j - 5 = a*l + 22, 0 = 2*j - 3*l - 11. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(1*sqrt(6)*-5).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3592989*g**3 + 9507*g**2 + g + 5 wrt g?\nAnswer: 21557934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1779\/8*r - 3\/8*r**2 + 1785\/4 = 0. Calculate r.\nAnswer: -2, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k + 17566. Let o(s) = 14*s + 8788. Determine 11*o(j) - 6*u(j).\nAnswer: -2*j - 8728","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*d + 11*d - 7*d - 2*d + (-4 + 6 - 3)*(0*d + 3*d + 0*d)*(1 - 2 + 9).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j + 43 + 6 - 21 + 6*j**2 wrt j?\nAnswer: 12*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303*o**5 - 5*o**2 + 12535*o wrt o.\nAnswer: -6060*o**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 equal to 192049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(3 + 40\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s. Let k(j) = j**3 - 20*j**2 - 20*j - 18. Let a be k(21). Let m(b) be the first derivative of 0*b**2 + 2\/3*b**3 - a + 0*b. Calculate t(m(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 1:06 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*l + 115, -5*l = -6*v + 2*v + 85. What is the derivative of v + 24 + 22 - 84 + 37*o wrt o?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260395535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112495572 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 + 4*a - 4. Let z(o) = -o - o**3 - 2 + 3 - 4 - o**2 + 4. Give -d(h) - 4*z(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1312841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9 + 5\/(-15))*-4. What is the second biggest value in -8, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*f = -26, 5*j - 4*f + 3*f + 53 = 0. Let h(s) = -9*s - 2. Is h(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 3, n: 2, i: 1, f: 2}. What is prob of picking 3 x?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711375253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65039, 211704, 456145, 798362, 1238355, 1776124, 2411669?\nAnswer: 3144990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - -22246) + 51\/(408\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 389 = -4*h, -o - o - 3*h = -258. Suppose 4*x = 3*j - 152, -3*x = 3*j - 6*x - 156. Let n = o - j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2)\/(2\/(-10)). Solve 4*q - 32 = r*j, 2 = -3*j + j - 2*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/t**(-1\/5))\/t*t)\/(t*t*((t**11\/t*t)\/t)\/t*t*t*t))\/((t*(t*t**8\/t)\/t)\/t**11))**(5\/6))**(-42) assuming t is positive.\nAnswer: t**343","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2563288 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 - -293. Calculate the highest common factor of m and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024319169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 24 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from sgmhimiy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 30. Suppose 2*i = -j + 5, -1 + v = 2*j - 3*i. Suppose 0 = -3*w - j*m + 2904, 5*w - 1321 = 3*m + 3543. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135301632 rounded to four dps?\nAnswer: 0.1353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**1*z**1)\/(z**(-1))**(-5))**17 assuming z is positive.\nAnswer: z**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4. Let m be n(-3). Suppose 5*z - m = -20. Suppose -12*k = -0 - 48. Put -2, k, z in ascending order.\nAnswer: z, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34147 plus 275.9?\nAnswer: 34422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2325 + 3.2325. What is the biggest value in -0.2, f, 163\/6?\nAnswer: 163\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/180 - 17*c**4\/18 + 67*c**3\/18 - 441*c**2. Factor z(k).\nAnswer: (k - 67)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 598\/14 - (-10)\/35. Let h = n - -132. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -65. Let u = -41 + p. Let d be ((-2)\/(-6))\/(3\/45). Solve 3*n = 6*n + 2*t + d, 0 = -4*t + u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfyyyqhqhdyyddz. What is prob of sequence qzyh?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + 12*h + 144 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-764)\/6494 - 7448\/(-87584).\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2269*l**2 + 8*l + 18. Let d(a) = -6051*a**2 - 21*a - 48. Give -8*d(x) - 21*y(x).\nAnswer: 759*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8144539, -8144616, -8144693, -8144770, -8144847, -8144924?\nAnswer: -8145001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 0.4, -3\/7, -2\/9, 109 in decreasing order.\nAnswer: 109, 21, 0.4, -2\/9, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, f: 2, s: 1, n: 2}. What is prob of picking 1 f, 1 c, and 1 n?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1. Let h(d) = -d**2 - 16*d + 10. Suppose -k = 3*p - 5, -5 - 4 = -4*k - p. Let i(m) = k*u(m) + h(m). What is the units digit of i(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 12*x**2 - 12*x + 14. Let n be u(11). Suppose 2*c = n*c - 8. Calculate the lowest common multiple of c and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = 2*h. Suppose -11 = -4*u - h. Suppose -4*d + u*d + 38 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234\/5 + 1949\/30. Find the common denominator of 13\/15 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-12)\/y)\/y)\/(y\/(y\/(y*y**(5\/4)))))**(5\/3)\/((y*y**(2\/17))\/(y\/(y*y*y**(1\/8)*y)))**(3\/2) assuming y is positive.\nAnswer: y**(-26069\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from ttnntnqntinetqvnn?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + -1. Let m = -11.05 - q. Let h = m + -0.95. Which is the smallest value? (a) h (b) -3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u + 25. List the prime factors of w(-10).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**4 - k**4 + 3*k**4 + k - k**2. Suppose 0 = -10*n + 8*n + 8. Let v(q) = 11*q**4 - 5*q**3 - 5*q**2 + q + 2. Let s(h) = n*p(h) + v(h). Factor s(u).\nAnswer: (u - 1)**2*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 116. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 - 14*z**2 + 10*z - 2. Let o(f) = -8*f**3 + 29*f**2 - 21*f + 5. Let j(q) = 5*a(q) + 2*o(q). Factor j(g).\nAnswer: 4*g*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -107 - 43. Let c be (-30)\/z + 43\/5. Suppose -4*u + c = -0*u. Solve -5*k = -13 - u, -3*h = -3*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55678233 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/(sqrt(49)\/sqrt(7)) + -2)*1)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -5*h, 5*d + h - 12 = 4. Suppose 3*t = -1 + 10, -d*n + 2*t = -21. Suppose n*r - 545 = 1246. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -241)*(-20)\/((-1680)\/14).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1119*j. Let v(x) = -4443*x + 2. Calculate v(d(u)).\nAnswer: 4971717*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 - -512. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, 1 e, and 1 y when four letters picked without replacement from {v: 3, e: 3, y: 6, h: 1, r: 4, p: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.853 (b) -11 (c) 12.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/4 + 2877*v\/4 = 0. What is v?\nAnswer: 0, 959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {h: 1, f: 4, t: 5}.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.2 in -4, 0.06, -14, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/11))*k)**34 assuming k is positive.\nAnswer: k**(340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 24*d - 1 + 115*d)*(-4 - 37 + 9).\nAnswer: -2912*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30906 + 404?\nAnswer: 3120a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*q - 45*q + 135*q - 9*q to the form y + a*q and give a.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*7*(2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 185024.\nAnswer: 555072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*l + 56488, -4*r + 5*l - 7*l = -75294. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 3. Let d(j) = 4*j - 6. Give 3*d(t) - 7*f(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2746400?\nAnswer: 2, 5, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6794630 divided by 9.\nAnswer: -6794630\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 16\/9, 2146, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q**2 + 7*q - 9. What is the remainder when x(4) is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099852 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 2*k + 2 = -15*g, 5*g + 4*k = 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qijsl. What is prob of picking 1 j, 1 q, 1 i, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 0.3 (b) -0.5 (c) -86 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63567471.\nAnswer: 3, 11, 17, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 - 69. Suppose a = 3*k + 101, -5*k - 5*a + 25 = o. Find the common denominator of -37\/10 and (189\/k)\/((-16)\/(-10)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 38098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(2*sqrt(1584)) + -2 - (0 + sqrt(39)\/sqrt(48) + -1)**2.\nAnswer: -61\/16 + 13*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 32*p**2 - 14*p - 18. What is the units digit of g(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = -15*p + 121. Suppose -36 = -4*u - p. Which is bigger: u or 26\/55?\nAnswer: 26\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccccocccoc.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 84 = -a. Let s = a + 4. Let h = -18 + s. Calculate the remainder when 41 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 19 = b - 2*i, -b + 11 = -5*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 543 + -563. What is the third biggest value in w, 0, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:23 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 - (-437)\/(-828)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + sqrt(3) + -3 + sqrt(48)*-1.\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-3))\/(-18)*32\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1 + 7*c**2 - 7*c - c**3 - 6 - 8*c**2 + 0. Let h(d) = -3*d - 2. What is -5*h(i) + 2*l(i)?\nAnswer: -2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.4. Let y = -1.63 + 1.7. Let x = -0.17 + y. Is x > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1081*i - 2. Let o be p(11). Let k = o - -8473. What is k rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1371?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 - v - 9. Let f(k) = k**2. Let a(q) = 5*f(q) + z(q). Let i be a(-6). Is 127 + 3 - (i + 4) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14375681.05 and 129?\nAnswer: 14375552.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 10 (b) 0.1 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 78*-0.5\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 200333221203 (base 4) in base 8?\nAnswer: 40775143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 (base 9) in base 12?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1437432599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 566*h - 1705. Let a be l(3). Let n(t) = t**2 + 2*t - 7. Calculate n(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 6 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let v be -3 - (-34)\/10 - -2*56\/(-80). Which is the nearest to v? (a) n (b) 0.4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.404 + -3.4. Round f to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103 * -133.\nAnswer: 13699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15071616 and 50176.\nAnswer: 120572928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62606, 125210, 187812, 250412?\n\"Answer: -s**2 + 62607*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -5, 1\/2, 2 in descending order.\nAnswer: 2, 1\/2, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 45*h**2 - 22*h - 1039. Calculate a(-45).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:45 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 9289199.093.\nAnswer: 9289198.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpuppuuvu. What is prob of sequence vp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 4. Let h be b(3). Let c(m) = -m**3 + 3*m**2 - 4*m + 3. Let k be c(2). Sort 4, h, k in decreasing order.\nAnswer: 4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**8\/504 + a**6\/60 - a**5\/45 + 35*a**2. Determine c so that l(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1594 + -550. List the prime factors of j.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10087055?\nAnswer: 5, 11, 241, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.7038.\nAnswer: 0.21114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-98)*(12\/(-14))\/((-78)\/364)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -3 (b) 2\/37 (c) -1\/4 (d) -40 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24378.29ng in micrograms?\nAnswer: 24.37829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**3)\/(l\/(l*(l*l*l\/l**(10\/3))\/l)))\/(l*l**6*l**(2\/15)\/l) assuming l is positive.\nAnswer: l**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 9*w + 18. Let k be r(10). Let d = 4 - k. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 77*s - 324. Let r be a(-4). Suppose -4*f = f + 20. Suppose -7 = -18*n + 47. Sort -2, f, r, n in descending order.\nAnswer: n, r, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -470.4024 to zero decimal places.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + -59 - ((-34 - -15) + -12)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:20 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g + 25*g - 7*g. Let d be 4*-1*(-3)\/6. Let k(q) = 3*q**2 - q**2 - 2*q**d + 2*q**2. Give w(k(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226291 times -5?\nAnswer: -31131455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 9152.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 703118, 2812486, 6328106, 11249984, 17578126, 25312538?\nAnswer: 34453226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let r(f) = 72*f**2 - 47*f**2 + 40*f**2 + 44*f**2. Give u(r(y)).\nAnswer: 23762*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*-7314\nAnswer: -29256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2956 times -71\nAnswer: 209876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.5. Let f = -2103 + 2102. Let x = f - n. What is the closest to 55 in x, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*o + 2, 5*o = -4*a + 3 + 15. Let q(t) = 2*t**2 - 2. Let k be q(a). Solve -k*d = -2*d, 5*r + 4*d = 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - 2. Let d be y\/(-4 + (-332)\/(-80)). What is the hundreds digit of 63\/(-21) - (1 + d\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o + 4. Let s be g(-6). Suppose -2911*v + 2047 + 5829 = -3768. Solve 3*t = 2*u + v*t + s, 20 = -5*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {c: 2, y: 3, d: 3, p: 1, r: 4, h: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-1)\/2*2. Let i = 0.24 - 4.24. Let j = -4.3 + -0.7. What is the nearest to -0.1 in g, i, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 1811413858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -49. What is the third derivative of -1387*x**b - 3*x**6 + 1395*x**2 - 8*x**6 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + 0\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23753841 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 77212*n**2 - 231629*n - 154418.\nAnswer: -(n + 1)*(n + 2)*(n + 77209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0084 - 0.13.\nAnswer: -0.1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6 - 2\/(-4). Let z = -5 + 0. Let o = z - -5.2. Which is the smallest value? (a) m (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-2\/27)\/(((o\/(o*o**(-7)*o))\/o*o)\/o**(4\/3)) assuming o is positive.\nAnswer: o**(-122\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65108.08 kilograms in nanograms?\nAnswer: 65108080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/220)\/((-35)\/(-110))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rryr when four letters picked without replacement from {y: 2, r: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*l + 76857 = 306*l - 604*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:25 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = 5*v, -9*o + 4*v = -7*o - 24. Suppose -o*w = 4*i - 870 - 1532, 0 = -i - 4. Round w to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114240 divided by 16.\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(9\/90)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 194873794*n**2 - 27383384?\nAnswer: 389747588*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 168*s - 1. Let j be v(56). Let y(n) = 12*n**2 - n - 6. Let f(i) = -13*i**2 + i + 5. Let m(t) = -5*f(t) - 4*y(t). Determine m(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10*(-4)\/(-40))\/(79 + -78).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -393 + 5897\/15. Let u = -3429 + 9955\/3. Let c = 112 + u. What is the second smallest value in j, c, -4\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-12.3889.\nAnswer: 12.3889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1203*d - 375. Let c(f) = -1806*f - 563. Let h(j) = 8*a(j) - 5*c(j). What is the derivative of h(u) wrt u?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 2*w - 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - -33. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16158 - -16157.999974393. What is n rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 19. Let n be p(-16). Suppose 33*c + 14 = n*c. Calculate the smallest common multiple of c and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/13 (c) 4 (d) 0.43 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294955 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = i + 13, 4*i + 4 = -56*t + 52*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000708078 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = a. Let l(r) = -r**3 + 2*r**2 + 5*r - 4. Let q be l(a). Suppose 3*i - 4*t - 47 = 0, -i - 4*t = -q*t - 9. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81*f**2*k - 11*f**2*u + 318*f*u + 4*k*u - 2801*k + 2*u wrt f?\nAnswer: -162*f*k - 22*f*u + 318*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g**6 - 23831*g**3*u**2 + g**2*u - 132*g**2 + 3*g*u**2 + 37*g*u + 2*u**2 wrt g?\nAnswer: 1800*g**3 - 142986*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/2210793?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.332411002 to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/27687 and -25\/139247152.\nAnswer: 417741456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 1\/90*j**6 + 0*j + 0*j**3 + 1\/90*j**5 + 0 + j**2 + 0*j**4. Find a, given that d(a) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -42, -97, -174, -273, -394, -537?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2302105 + -2534?\nAnswer: 2255131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -2108324.425?\nAnswer: -2108328.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z - m - 0, -5*m = -2*z - 39. Let u be 5 - ((-4)\/(-2) + (-13 - z)). Solve -u = -3*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70424 rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u - 2. Let q(f) = -1. Let s(o) = -o**2 + 12*o + 14. Let d be 2*(-13)\/8*-4. Let h be s(d). What is h*q(x) + y(x)?\nAnswer: x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 2*i = 2*b + 3*i + 151, 8*i + 9 = -3*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4425 - 1885. List the prime factors of g.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(133)\/sqrt(28) + -3*(1 + sqrt(19)) + sqrt(171) + -2 + 3)**2.\nAnswer: -2*sqrt(19) + 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 12:18 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/3 + 730*f\/3 - 243 = 0 for f.\nAnswer: 1, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 7*d - 224 = 27*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -90, -154, -4, -3, 4 in decreasing order.\nAnswer: 4, 3, -3, -4, -90, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -4\/3 (c) 0.2 (d) 30 (e) 111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47465, 47629, 47835, 48089, 48397, 48765, 49199, 49705?\nAnswer: 50289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1246, 1248, 1250, 1252, 1254, 1256?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 7*f**2 - 10*f + 1. Let w be y(-3). Let q be 2\/w*11 - (-5 + 0). Solve -3*u - 2*i + 32 = -q*i, i = -2*u + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let p be n(-5). Suppose k = -3*o - k + 18, -1 = -2*o - 5*k. Let b = o - 8. Solve b = q - 4*q - p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tditid. What is prob of sequence di?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 116582*t + 1497. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 757, 2729, 5925, 10345, 15989, 22857, 30949?\nAnswer: 40265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 2\/3*q**3 - 10*q + 0 + 5\/12*q**4 - 5\/2*q**2. What is the tens digit of f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3\/3 - 22*u + 7. Let r be 6\/4 - 2\/(-4). Let q(h) = 0*h + 0*h + h**r. Give q(c(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 8*z - 2. Determine l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 14*v**2 - 27*v - 84. Give z(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*o**5 - 4 - 95*o**5 + 4 - 3*o**2 wrt o.\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22078 (base 14) in base 13?\nAnswer: -2b696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i*i*i**(-5)*i*i*i*i**7*i\/(i\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 782544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 567, 562, 555?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81\/2 of a millisecond?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u)**(11\/5)\/(((u**(-3\/2)*u)\/u)\/u**0)*u**(-1\/3)*u*u\/u**(1\/5)*u**(-6)*u**(4\/3)\/u assuming u is positive.\nAnswer: u**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94314677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62521206?\nAnswer: 2, 3, 11, 17, 103, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/2)\/(((-66)\/(-3264))\/(-11))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32840 is divided by 357.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j\/j**(-5))\/(j*j**(3\/2)\/j*j*j**(2\/15)))\/((j*j*j*j*j**(-1\/6))\/((j\/(j\/(j\/(j*j\/(j*j\/(j*j\/j**(-6)))))))\/j))**(-7) assuming j is positive.\nAnswer: j**(401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 17\/2)\/(121160\/1248 + -97).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-351)\/1755 - (0 - 48\/(-10)). Let b = 1 + 2. Let f(v) = -4*v**3 + v**3 + 2*v**b. Let r(d) = -2*d**3. What is x*r(j) + 7*f(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-501)\/(-270)). Let m = p + 20903\/3340. Let j(g) = -g**2 + 3*g. Find the common denominator of j(5) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52861 from 1.\nAnswer: 52862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29091248 is divided by 893?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*i - 1133*i = u - 5, 0 = -5*i + 4*u + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2\/7 - 88016*u\/7 + 968352032\/7 = 0.\nAnswer: 22004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:36 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4646\/14493 or 1?\nAnswer: -4646\/14493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 6 = 0. Let j be ((-3)\/o)\/(21\/(-56)). Solve 0 = -3*v - v - j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 10*c + 30 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -5880\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 94481?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 28755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 7. Suppose a*y = 7 + 5. What is the remainder when 6 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1 - c**3 + 0*c**3 - 3*c + 2*c. Let g(j) = 40*j - j**3 - 37*j - 1 - 2 + 2*j**3. Give g(v) + 3*n(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*u + 4 + 2*u + 2*u to c*u + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 3*a + 2. Let n be l(6). Let m be (n\/(-10))\/(8\/(-40)). Let i = 40 + m. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 24*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4025?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(88)\/sqrt(11)) + sqrt(2))**2 - 5*sqrt(2)*2.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -12, 3 in descending order.\nAnswer: 3, 2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1397 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84721 - 31825 = 1102*o for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {r: 1, g: 1, n: 18}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.38 (b) -1 (c) 0.0411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 + c. Let s be (10\/35)\/(((-6)\/(-7))\/3). Give x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830168*p - 830069*p + 2475 = 0 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 10541864?\nAnswer: 52709320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8439944.254 rounded to the nearest 1000?\nAnswer: 8440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000749 to 7 dps.\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.1. Let v = -455\/6 + 76. Sort 4, v, y in ascending order.\nAnswer: y, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 3*q - 5. Let l be k(-2). Suppose -14*h + l*h + 15 = 0. Suppose a - 72 = h*f - 0*f, 4 = 2*f. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:04 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7586 - -7561. Which is the second biggest value? (a) 5 (b) s (c) 6 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 10*v + 10. Suppose -69*m + 1038 + 711 = -228*m. What is a(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 65 (c) 1\/2 (d) 5.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oagtoeeuuegtggugeg. Give prob of sequence ut.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 15 = 0, -50 = -2*i + 2*v. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(5*5\/50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04716 take away 0.1?\nAnswer: -0.14716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)\/d*d)\/d*d)**16\/(d\/(((d*d**(-1\/4)*d)\/d)\/d))**(6\/17)*(d**(2\/7)*d*d\/d**(-1))\/(d**(-5)\/d**3) assuming d is positive.\nAnswer: d**(127\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 12. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -79, -152, -241, -340?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (284\/710)\/(2\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -124*f + 500. Let k be n(4). What is the greatest common factor of 66 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 3. Let s(i) = 13*i**3 - 5*i**2 + 3*i + 2. List the prime factors of s(u).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 2101 = 82 + 1993. Calculate the least common multiple of 348 and y.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 5*q - 30. Let s be (9 - 0)*(-1)\/3. Let x be d(s). Let h(a) = 11 + 1 - 2*a - 5. Determine h(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + j + 17 - 3)*(3*j - 5*j + j)*(1 - 1 + 1).\nAnswer: -j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 475 = 4*g. Suppose x - g = -2*j, 3*x + 25 = -2*x. Suppose 4*h = -h + j. Calculate the remainder when h is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -245502430 (base 6) to base 9\nAnswer: -8842130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 43*h**5 - 19 + 5*h**5 + (0 - 2*h + 0)*(1 + h**4 - 1).\nAnswer: -40*h**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 a factor of 282603535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 4*f**2 - f**2 + 14*f**4 - 1199592 + 1199594 - f as h*f**2 + m*f**4 + b*f**3 + l + w*f and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:54 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1083 - 471 = 0. Let g = -89 + n. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppllpplppll. Give prob of sequence llp.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + x - 10 = -2*x, 0 = 3*m - x - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*s - 28. Suppose 0 = -4*j - 12, 0 = 5*y + 16*j - 13*j - 246. What is the remainder when y is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 53121000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c + 49. Let w be k(-10). List the prime factors of 11\/(968\/16) + (-1626)\/w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 51 - 51 + 102.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3863 + -3862.8. Let n = 21 + -21.09. What is the closest to -2\/7 in v, n, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 610 by -122.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t + 6. Let q(r) = r. Let l(z) = -3*q(z) + x(z). Let o(a) = 37*a + 33. Let k(n) = -19*n - 17. Let m(p) = 7*k(p) + 4*o(p). Give 13*l(w) - 6*m(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038 = 44*r - 2726 + 948. What is the remainder when 3258 is divided by r?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*t - 26*t - 525. Solve -t*c - 31 - 19 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -0.4, 2\/7, -1, -2, -0.09 in decreasing order.\nAnswer: 8\/5, 2\/7, -0.09, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5131745 to 3 decimal places.\nAnswer: -0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aafa when four letters picked without replacement from {a: 8, f: 10, o: 1}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 60*z.\nAnswer: -4*z*(z - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2722.7 + 2723. Which is the nearest to 0? (a) j (b) -1\/4 (c) -0.09 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 1 - (-13 + (-4 - -4) + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1997547 or -1997544?\nAnswer: -1997547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -74. Suppose -12 = 4*f, -g - 4*f = -0*f - 1. Calculate the remainder when k is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 5. Let g(i) = 22*i - 16. Let j(n) = -3*g(n) - 10*s(n). Let b be (-6 + 7)\/(2\/(-6)). Let r(v) = -3*v + 2. What is b*r(x) - 2*j(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.381617 milliseconds?\nAnswer: 8381617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/30 - 22\/(-10). Let a be (-1)\/(-7) - 72\/14. Put k, -4, -3, a in decreasing order.\nAnswer: k, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18959 is divided by 237.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2*s - 2*s)*((-6 + 3 + 1)*(s - 5*s + 3*s) - 7*s + 3*s + s) to the form p*s + w*s**2 + v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20057 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaadagaaaaag. Give prob of sequence ao.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 909.\nAnswer: -5\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166465446*n**3 + 55406421*n**2 + 2*n?\nAnswer: 998792676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 130, 137, 144?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 33*y + 7. What is j(37)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eep when three letters picked without replacement from zeeeeeeepees?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/72 and (-1288)\/(-736)*(-87)\/(-91)?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -32 - 52\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/13)*u**2)\/(u**(2\/15)\/u**(2\/5)) assuming u is positive.\nAnswer: u**(667\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 661 + 2539 = 110*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = 4*j, g + 7 = 4*j + j. Let o = 14 + g. Is o >= 11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*b - 58 = 0, -3*b + 6*b = 2*i + 40. Let c = 27 + i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/4*-23. Let z = -21 + u. What is the third derivative of 8*s**4 + 32*s**2 - 3*s**4 - 29*s**z wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vddddvvdddvdvddd. Give prob of sequence vdv.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6967.\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 13.006. Let n = j + 24.506. What is n rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/7 + 6012*z\/7 + 1338805\/7 = 0.\nAnswer: -215, 6227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 5*t**2 + 0 + 1\/60*t**5 + 0*t + 0*t**3 + 0*t**4. Let o(y) = 5*y. What is u(o(m))?\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1670 and -87\/80?\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, l: 2, v: 1, b: 1, f: 2}. Give prob of sequence xl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 10, m: 3, f: 1, t: 2}. Give prob of picking 1 m and 1 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/3 + 4*c**4\/3 + 8*c**3\/3 - 16*c**2\/3 = 0 for c.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18400193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 - -317. Let h = -9 - -11. Which is the closest to w? (a) h (b) 3\/8 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1955\/(-1700) + (1 - 2\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16*o**3 + 11*o**2 - 11. Let p(g) = -g**3 - 3*g**3 + 3*g**2 - 4 + 9*g**3 + 0*g**3 + g**2. What is 4*k(c) - 11*p(c)?\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 1261 + 706 = -735 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-3) - 2\/3. Suppose -6 = -4*i + y. What is the derivative of -4*u**i - 3 + 5 + 3*u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -120.5, 5, 0.39, 0.62, -1, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/20 + f**5\/6 - 3*f**2. Find the third derivative of z(d) wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357171569629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -4*n**3\/3 + n**2\/2 + 10*n - 1. Let z(q) = 3*q**2 - q - 7. Let u(m) = -5*r(m) - 7*z(m). Factor u(p).\nAnswer: -(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = 0, -2*v + 3*d = -307 + 1120. Let c = -8444\/21 - v. Let s = c - 4\/7. What is the closest to -1 in s, 3\/4, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64019, 8\/199, 3.\nAnswer: -64019, 8\/199, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 24 (b) -0.5 (c) 1\/2 (d) 3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*r**2 - 2740*r + 5481*r - 2741*r + r**3 + 2508*r**2.\nAnswer: r**3 + 3146*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/16 + -2 + 38\/16. What is the third derivative of 24*f**3 - 183*f**2 + 53*f**i + 3*f**3 + 31*f**3 - 7*f**3 wrt f?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100312117*l**2 - 79277843 wrt l.\nAnswer: -200624234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 145?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3905 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**2 - 81*j + 81*j + (j + j + 0*j)*(3*j + 5 - 5))*(-19 + 19 + 6*j + 5) as u*j + h*j**2 + x*j**3 + c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-6 + 2 + (15 - 8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 124388.45 take away -0.106?\nAnswer: 124388.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 + 750252*v - 70359757938 = 0.\nAnswer: 187563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -70*m - 150. Let q(w) = 6*w + 12. What is 2*o(j) + 25*q(j)?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by 102.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16936 divided by 584.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -197 + 1374\/7. Find the common denominator of x and 41\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let r(k) = 2*k. Let w(y) = -2*f(y) - 2*r(y). Let d(p) be the third derivative of 0 + 1\/8*p**4 + 0*p**3 + 0*p + 8*p**2. What is w(d(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*-1*(-2 + (sqrt(245) + sqrt(245)*-1)*-6)*-6 + -1)**2.\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-d - d + 4*d)*(-12973*d**3 - 13091*d**3 - 11221*d**3).\nAnswer: -149140*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -182 + 29819799\nAnswer: 29819617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.12 and -0.265.\nAnswer: 4.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697072906.\nAnswer: 2, 3, 11, 29, 41, 34369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9887321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -64. Does 39 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2*d - 38, 3*w + 1851*d - 1847*d = -60 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155846 and 3306.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 234043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l - p = -67*l + 2, 0 = -2*p + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.1. Let k = 6 + -12. Let h = k - -2. Put h, 2\/3, l in increasing order.\nAnswer: h, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.77 - -2.74. Let t = 15 + b. Let x = 0.09 + t. Is x not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -396. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -636.\nAnswer: -1908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 120*g**2 + 104*g - 2143. Give n(-121).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 140512*x**2 - 5*x - 8. Is q(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128785397, -128785411, -128785425, -128785439, -128785453?\nAnswer: -128785467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -9. Suppose 0*u - 4*u = -5*q - 82, -u = -3*q - 24. Let t = w + u. Solve 0 = -y - 3*j + 1, 5*y + t = j - 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79\/1000 + 81569\/1311000. Is 0.1 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgygola. Give prob of picking 2 g, 1 y, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 969 + -37225159315.\nAnswer: -37225158346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044693856 to seven dps.\nAnswer: 0.0004469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34400 and 55?\nAnswer: 378400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 597 and 1508221.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -1 + (1876 - 1888)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2549274 and 1\/32290804?\nAnswer: 96872412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 2*sqrt(5200) - sqrt(52))\/(-2*(sqrt(4) + sqrt(4)*1)) - (-1*(2*sqrt(130) - sqrt(130)) - sqrt(130))\/(sqrt(10) + (sqrt(20)*2)\/sqrt(2))) + -2.\nAnswer: -13*sqrt(13)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(1\/2))*o)**20)**(37\/3)*((o**0\/o)**(6\/23))**(1\/30) assuming o is positive.\nAnswer: o**(42549\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 305\/8 + -18299\/480. Let h(a) be the third derivative of 4*a**2 + c*a**6 + 0*a + 1\/120*a**5 + 1\/96*a**4 + 0*a**3 + 0. Factor h(n).\nAnswer: n*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 50*y**3 + y**2 - y. Let t be m(1). Suppose 0 = 5*g - 60 - t. Let r be (g\/6)\/((-3)\/(-360)). What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 + 1 + 2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603001, -1206012, -1809023, -2412034, -3015045?\nAnswer: -3618056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -19. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 51. Sort -28, s, -3 in decreasing order.\nAnswer: s, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:48 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431 - 433 + 68*y**3 + 90*y**3 + y**2 to r*y + s*y**2 + c*y**3 + b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -126*c**2. Let f(i) = -366 - 3*i**2 + 723 - 357. Give x(f(w)).\nAnswer: -1134*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 128560*m**2 - 1285900*m - 3215000.\nAnswer: 4*(m - 32150)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96.31 and 89.9?\nAnswer: 8658.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 9. Let v(r) = -7*r**2 + 5*r + 8. Let z(w) = 3*w**2 - 2*w - 4. Let m(b) = 2*v(b) + 5*z(b). Calculate 4*k(l) + 9*m(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -121*x + 76. Let l be d(-2). What is the highest common factor of 106 and l?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u + 2*b + 286002 = 0, -4*u + b + 572001 = 0. What is u rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -407 + 199. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38290893.\nAnswer: 3, 37, 344963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 55. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3112027504?\nAnswer: 2, 31, 6274249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 - 1490*n**2 + 128925*n - 2551500 = 0.\nAnswer: 28, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 14*f**2 - 96*f - 194. Calculate v(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -47?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -18612.\nAnswer: -1\/18612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-70)\/15 + (-4)\/(-6). Let i(s) = s**2 + s + 2. Let t be i(o). Let l = -5 + t. What is the greatest common divisor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 0, 2*y - 140 = -3*y - 2*b. Let v be (360\/y)\/((-2)\/(-14)). Let w = v + -550. What is w rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/636309?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 18*m - 9 = -29, -15 = -n - 2*m for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v*v**(6\/19)*v)\/v))*v)\/(v\/(v*v*v*(v*v*v**(-13))\/v)) assuming v is positive.\nAnswer: v**(-146\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 66*j - 4*j**2 - 2*j**4 - 4*j**3 + 2*j**3 - 108*j to q + h*j**2 + t*j + o*j**3 + z*j**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**7\/1260 + t**6\/60 + t**4\/12 - 53*t**3\/6 - 48*t**2 + 1. Let h(g) be the second derivative of b(g). Solve h(p) = 0 for p.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3885*s - 105942 = 135090 - 11817 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.17*0.18.\nAnswer: -2.1906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124239758 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 + 4*h + 1. Suppose -3*i - 2*b = -64, 0 = i - 4*b + 2. Let y be (16\/24)\/(3\/i). Let g = y + 0. Determine j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**5\/7 + 164*u**4\/7 - 944*u**3\/7 + 2272*u**2\/7 - 2208*u\/7 + 576\/7 = 0. Calculate u.\nAnswer: 2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -138. Let q(z) = 20300006*z**2 + 7*z + 1. Let j be q(k). Round j to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1430 and 33.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 54324\/2623?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26338368 divided by -42\nAnswer: -627104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13856*p**3 - 13785*p**3 + 41462*p**3 - 13841*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 + 304. What is the second derivative of -120*g - 8*g**3 - 137*g - g**2 + n*g wrt g?\nAnswer: -48*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-13)*((-180)\/240)\/((-2)\/(-24))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*t - 35 = -14, 0 = -4*o + 5*t + 13. What are the prime factors of 2 - 1*(o - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 - (-4 - (-6)\/2). Suppose 457 = 33*d + 61. Suppose -s - d = -16. Solve s*u = 5 - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**8\/420 - g**4\/8 - g**3\/2 - 10*g**2. Let t(s) be the first derivative of d(s). Differentiate t(j) wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*s + 146, -4*d - 72 = -0*s - 3*s. Suppose i - 12 = 2*q, 2*i - 3*q - s + 8 = 0. Solve -x = i*k + 6, 4*x + x = k - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132158)\/(-7176) + (-261)\/27 + 2*18\/(-16)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/9*(-8)\/28*(-14)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*p - 6795 = -113*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.692315574 rounded to 3 decimal places?\nAnswer: -0.692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-3 + 4 + 1). Let d be (8 - m) + -1 + -14. What are the prime factors of 36 - (d\/3)\/(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -414280 - -2?\nAnswer: -414278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 c when four letters picked without replacement from {v: 1, g: 1, s: 5, f: 5, c: 4, m: 1}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1548*r + 407118. What is v(263)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(18))**2 - (sqrt(32)*2 + sqrt(2))) + sqrt(200)\/sqrt(4) + -2.\nAnswer: -4*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + -2 + -2 + (43 - (-9 + 53) - 3).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2))**(14\/3))**15)**(-9) assuming c is positive.\nAnswer: c**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, f: 2, i: 6, k: 6, w: 2}. What is prob of sequence ffk?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.80179nm in micrometers?\nAnswer: 0.09380179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 59 = -9. What are the prime factors of (-4)\/w - (-414)\/15?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 867620 and 2903190?\nAnswer: 75482940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.95624g to nanograms.\nAnswer: 5956240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62076271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + r - 1)*(-14 + 2 - 12)*(-2*r - r + 6*r) - 96*r**2 + 172 - 172 as b + h*r**2 + x*r and give h.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-7))\/((-1896)\/8848)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (174\/54 - 4\/18) + -7. What is the common denominator of c\/((-48)\/(-6)) + (0 - -1) and 11\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19\/791)\/((-40)\/13 + 3). Let n = g + 3\/113. Let f = -135 + 130. Put n, 2, f in decreasing order.\nAnswer: 2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -10. Let h = 20.1 + y. Let q = -4.6 - h. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, x: 4, f: 1}. Give prob of sequence fx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**3\/3 + x**2\/2 + x. Let q be ((-18)\/2)\/((-12)\/(-8)). Let p = q + 8. Give r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -41*a - 1. Let d(q) = 102*q + 2. Let j(x) = 2*d(x) + 5*m(x). Let o(z) = -12*z - 3. Determine -2*j(f) + o(f).\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 17 - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbebbsseebeesb. What is prob of picking 3 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 - 7*m + 4. Suppose -19 = -y - 13*d + 8*d, 3*d - 51 = -5*y. Let c(u) = 4*u**3 + 9*u**2 - 29*u + 17. Give y*t(f) - 2*c(f).\nAnswer: f**3 - 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 3*k - 8. Let t be f(5). What is the third derivative of 30*m**2 + 51*m**2 + 13*m**2 - t*m**2 - 152*m**6 wrt m?\nAnswer: -18240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 19*j. Let o(n) = -16 - n + 16. Determine o(y(c)).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71880019 >= 71880021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16210, -32422, -48634, -64846, -81058?\nAnswer: -97270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -8 + (-7 - (-12 - -7)) + -33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.02, 37, 4\/7, 0.1, -484, 2\/5, 8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r, -x - 8*r + 10*r + 10 = 0. Calculate the remainder when (-1)\/(-2) - 891\/(-22) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from nmnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -13123?\nAnswer: 13130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 4990*m**4 - 4980*m**3 - 4990*m**2 + 4985*m = 0.\nAnswer: -1, 0, 1, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168796077 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 37 = 207012*t - 207008*t, 0 = -25*t + 5*u - 340 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s + 100. Let z = s - -14. Is 2*(-15)\/12*z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**5\/5 + 51*u**4\/8 - 27*u**3\/2 - 178. Suppose l(v) = 0. What is v?\nAnswer: -27, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:21 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -163343*z. Let i(c) = 18*c. What is i(d(v))?\nAnswer: -2940174*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52012, 104025, 156038, 208051?\n\"Answer: 52013*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183 - -345. Suppose 3*z - 4*c = l, -z + 4*c = z - 112. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 97*k**2 + 17*k + 28. Let j(r) = 32*r**2 + 5*r + 9. Let u(i) = -2*a(i) + 7*j(i). Suppose 0 = -3*c + 5*c + 4. Does 42 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.0595, -1\/6, 3, -19, -0.5, 0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*u + 30 = -128*u. Calculate the greatest common factor of u and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -56*c**3 + 19*c**2 - c - 18. Let m(i) = 27*i**3 - 9*i**2 + 9. Let s(o) = -4*d(o) - 9*m(o). Is s(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/20 + 13*t**4\/4 - 19*t**3\/3 - 19*t**2\/2 - 7330*t. Calculate s(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-147)\/(15\/(-5)) - 3. Let s = -46 + o. Let n be 2\/(-1*1 + 24). Do n and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/((-240)\/(-18))*-5. Suppose -13*u = -s - 75. Solve u = -19*v + 21*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 89?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31 - 65*v**2 + 98*v**2 - 205*v**2 - 85*v**2 + 178*v + 7*v**3 + 103.\nAnswer: (v - 36)*(v - 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3085 + 18509\/6. What is the nearest to 5\/4 in 1\/6, i, -0.032?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 265 and 2.5337838397?\nAnswer: 262.4662161603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**31)\/(i\/((i\/i**(-30)*i)\/i))*i**(-2\/55)\/i*i*i\/(i**(-8\/7)\/i))**(1\/29) assuming i is positive.\nAnswer: i**(25066\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 516 + -515.8. Are o and 93 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 15\/56, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53120 - 26320 = 74*v + 23248 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkki?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10ba993 - -4?\nAnswer: 10ba997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -60, -1, -175, 62 in ascending order.\nAnswer: -175, -60, -2, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1436109*d - 11488869. What is q(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1136 - -1136. Solve 3*l + 2*w - 5 = r, 2*w + 4 = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210330 + 14114433?\nAnswer: 14330313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00224 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 26*c**2\/3 + 12*c - 16\/3.\nAnswer: 2*(c - 2)*(c - 1)*(3*c - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 3, 128, 2 in decreasing order.\nAnswer: 128, 3, 2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -930, -1856, -2778, -3696, -4610, -5520?\n\"Answer: 2*t**2 - 932*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 41*y**2 - 76*y + 98. Determine i(-39).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 51*i**2 + 142*i - 94. Let u(t) = 2*t**2 + 31*t - 6. Let x be u(-14). Let c be q(x). Solve 0 = -5*a + 3*l - 14 - 4, 2*l = c*a + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24849 and 119790.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 3*v = -15*c + 8055, -5*v - 6444 = -4*c. What are the prime factors of c?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 1096581.2?\nAnswer: -29607692.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784336.5mg to nanograms.\nAnswer: 784336500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4 = 4*l. What is the derivative of -4 + 4*k - 5*k + l wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 2*d + d**2 + d**3 + 0*d**2. Suppose 4*m - 2*r = -298 + 268, -5*r + 31 = m. Let l(x) = 2*x**3 - 3*x**2 - 6*x. Determine m*l(j) + 11*v(j).\nAnswer: 3*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-33012)\/(-85245)) - 4. Let t = v - -2\/917. Let h = -2\/3 + t. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 9:25 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 - 3*y**3 + 10*y**2 - 17*y**4 - y**3 - 1 + 19*y**4 in the form p*y**4 + k + n*y**3 + u*y + o*y**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/((5\/2)\/5). Suppose 0 = 4*p + 12 + l. Let g(i) = -2*i - 1. Let a(r) = -2*r - 1. Calculate p*g(w) + 6*a(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.77 minus -1?\nAnswer: -25.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -220*j**2. Let n(y) = 150*y. What is p(n(f))?\nAnswer: -4950000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981 by -9.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-84) - 1222\/(-14). Let m = 128 - o. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 561, 821, 1097, 1395, 1721, 2081?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2919 + 71*h + 2921 - 72*h + 219*h)*(21 - 19 + 18)*(1 - 2 + 3).\nAnswer: 8720*h + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Suppose -3 = -4*m + 5. Suppose -4*f = -3*f - 2*u - m, 8 = -3*f - u. Suppose 5 = -4*i + 9*i. Let c(g) = -g. Determine f*q(t) + i*c(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t - 10 = 0. Let y be 96\/(-18)*3\/t. Solve m + 3*m + 5*b - 28 = 0, -2*m + 3*b = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133120 (base 4) to base 11\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -161. Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 85*q**2 - 33 - 35 + 7*q**2.\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/(-4134))\/(-1*2\/12)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(12)\/(sqrt(18)\/sqrt(3))))\/(sqrt(18)\/(sqrt(294) - (-2*sqrt(294) + sqrt(294) + sqrt(294) + sqrt(294) - sqrt(294)))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/20 + h**4\/2 + 2*h**3\/3 + 3*h**2 + 2*h. Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(51))\/sqrt(3).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 18. Let w be l(22). Suppose 0 = -w*f - x + 180 + 1761, 2400 = 5*f - 4*x. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 - -133. Let r = 54 + f. Put -6\/5, r, -2 in decreasing order.\nAnswer: r, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 3*c. Suppose c*w + 294975 = 5*j, 2*w - 25 = -3*w. What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = -0*n. Let f be n\/10*4\/(-3). Suppose 4*q - 7 - 9 = 0. Solve 3*a + f = -q*b, -6*b - 4*a = -b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-3) - 1\/(-3). Suppose -5*f + 29 + 11 = 5*z, -q*f = -4*z + 32. What is the tens digit of (-2)\/8 - (-386)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 3*m + 3261. Let w(y) = 25*y. Calculate w(s(h)).\nAnswer: -50*h**2 - 75*h + 81525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((70\/(-20))\/(-7))\/(2\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 - 0.8. Let u = -63666 - -63665. Which is the third smallest value? (a) -3 (b) 0.12 (c) u (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*a + 22, -2*a + 7*a = h + 19. Let u = -19 - -18.6. What is the closest to u in 5, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 52133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 156*j - 2187. Determine d(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 123. Calculate the remainder when j is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1772*a + 185500 = -9192*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 3887 + 2197 = 0. What is the highest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 + 4 = 0. Suppose -3*x - d - p*d + 936 = 0, x - 2*d = 327. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 f when four letters picked without replacement from lllllllff?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -413*1\/4*-4. Let v = z - 57. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 77.6743us?\nAnswer: 77674.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*z + 1. Suppose 10*p - 104 - 96 = z. Calculate the remainder when 52 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-21)*(-6)\/(-10)*-1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kopo when four letters picked without replacement from {p: 5, g: 1, o: 3, u: 3, k: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 36 = -9*w. Let u be (-21)\/w*10\/((-840)\/162). Factor -u*y**3 - 3\/2*y**2 + 0 - 21\/4*y**4 + 0*y.\nAnswer: -3*y**2*(y + 1)*(7*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 10. Let b(o) be the third derivative of o**3\/6 - 2*o**2. Let l(z) = 2*b(z) + x(z). Does 10 divide l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3042 - -3?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8856*w**5 + w**4 - w**2 + 132372*w.\nAnswer: -177120*w**3 + 12*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n. Let v(q) = -58*q**2. Let c(p) = 117*p**2. Let g(h) = -5*c(h) - 9*v(h). Calculate g(w(o)).\nAnswer: -5103*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4002*x + 36 = 4000*x. Let a(j) = -j**2 - 20*j - 22. Give a(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.128 + -0.022. Let v = y - -0.15019. What is v rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/((-5)\/240). Suppose r + 52 = 2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k**5*v - 2*k**4 - 311*k**2 + 27554*k*v - k wrt k?\nAnswer: -160*k**3*v - 24*k**2 - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(8068*s - 12008 + 12008) as n*s + k and give n.\nAnswer: -16136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 876*m**3 - 5160*m**2 + 10256*m - 6816.\nAnswer: -4*(m - 213)*(m - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468751 = 29*f - 152748. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-440)\/275)\/(8\/(-150)). What is the greatest common factor of 165 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66805113?\nAnswer: 3, 41, 543131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/1137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-64))\/(-170))\/((-1)\/(1\/(-8)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5979 - -5969. Sort 5\/2, -1, x, 3, 0.5.\nAnswer: x, -1, 0.5, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/502815124 or 0?\nAnswer: -1\/502815124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -25*t**4 - 2180*t**3 - 410*t**2 + 2180*t + 435 = 0.\nAnswer: -87, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, a: 2, b: 1, m: 1, g: 1}. Give prob of picking 1 b and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -295*u - 158 + 187 - 157 - 462 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001666 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*n**3 + 5*n**4 - 824841*n + 824841*n + (0*n**2 - 2*n**3 + 0*n**2)*(-5*n + 4*n - n) - 5*n**4 + n**4 + 3*n**4.\nAnswer: 8*n**4 + 111*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(14 + (0 - 3)) - -3. Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**2 - 6292495*b = 0?\nAnswer: 0, 1258499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016256 to 4 decimal places.\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from ossxooxppttpotppoo?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:56 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*v + 14, -3*o - 10 = 2*v + 2*o. Suppose -7*w + 4*w + v*x = -310, -w - 2*x + 85 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 + -226. Let b(d) = -d**2 + 30*d + 178. Let o be b(29). Let v = o + f. What is the remainder when v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 526816 + -3687702\/7. Factor 0 - 18\/7*z**4 - f*z**2 + 4\/7*z - 32\/7*z**3.\nAnswer: -2*z*(z + 1)**2*(9*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**3 - 670365*z**2 + 9*z - 22808?\nAnswer: 6*z - 1340730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 5, 13, -6, -5, 2 in decreasing order.\nAnswer: 95, 13, 5, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.54 - -3.43. Let f = 0.1071 + g. Round f to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5 - -20?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*h**2 + 201\/4 + 16*h = 0 for h.\nAnswer: -3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2019.3 + 1788.44. Let w = j - -4.86. Which is the second smallest value? (a) 1\/2 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u + 1699*u**3 + 16*u - 9*u + 1038*u**3.\nAnswer: 2737*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24486 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022233 * -412.\nAnswer: -9.159996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -157*c - 15. Let t(a) = -2145*a - 210. Give 55*j(u) - 4*t(u).\nAnswer: -55*u + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14233 is divided by 675?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 0.167705.\nAnswer: -109.832295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from nwzppzzznppwuzzzuzwp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -47977?\nAnswer: -47977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/9)\/((2\/(-45))\/1). Let w(x) = -n*x**2 + 27*x**2 - 3*x + 27*x**2 + 1 + 22*x**2. What is w(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/4)*z))**(-8\/5) assuming z is positive.\nAnswer: z**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 508256 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169594543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26406 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 6*v + 5*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91744513*s**4 - 2*s**2*u + 57*u + 197711 wrt s?\nAnswer: -366978052*s**3 - 4*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 6*m - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448800 not equal to 4448809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15720391 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*t + 3 = -119*t, 54 = 5*w + 2*t. Calculate the least common multiple of 148 and w.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/14 - (8 + -6)\/(5\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 14*w - 5. Let h be r(0). Let k(m) = 18 + 4*m - 3*m + 0*m. What is the tens digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/((-20)\/(-50)). Suppose 3*l + 55 = -m*l. Let s = -7 - l. Solve s*o = -5 - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - ((-14 - -28) + -17 - -14) - 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - p + p)*(-32 + 11 + 0).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 bigger than -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 + 5*j - 6. Let y be l(5). Is (20\/y)\/(20\/(-330)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 + 3*b + 11. Calculate the remainder when k(-3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d - 1. Let a(x) be the third derivative of x**4\/24 - 4*x**3\/3 - x**2. Calculate the remainder when v(-2) is divided by a(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230*w**6 - 874276*w**4 + 2*w**2 + 4175*w + 66.\nAnswer: 27600*w**3 - 20982624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-336)\/(-36))\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57555 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 - 11 = 0. Let v(l) = l**2 - 5*l - 7. Let h be v(q). Is (h - 1)\/(4\/(-18)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g + 11\/8*g**4 - 168*g**2 - 33\/2*g**3 + 0. What is the first derivative of s(u) wrt u?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (-163 - (-76 + -80))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-3060)*16)\/(4\/10). Let a = -151.3 + 151. What is the nearest to u in a, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 4. Suppose 7*g = 156 + 152. Suppose -2*s + 3*v + 67 = 0, -2*s + s = -5*v - g. What is the remainder when s is divided by y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -41*w + 20*w. Solve w = 66*k - 64*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-11) - (-14 + (-1716)\/(-121)). Which is the nearest to l? (a) 5 (b) 1\/3 (c) -1\/3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980029 is divided by 992.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 177387964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 3:06 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126984 and 50764?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 - 8*y - 10. Let a(o) = 21*o**2 + 28*o + 32. Let b(s) = -11*s**2 - 15*s - 17. Let u(w) = 3*a(w) + 5*b(w). What is -7*c(p) - 6*u(p)?\nAnswer: p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 - 119. Let r(h) be the third derivative of 0*h + 1\/24*h**y + 1\/6*h**3 + 0 + 4*h**2. Determine r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458152 is divided by 2917?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = i + 2634, 5*r = -59*i + 57*i + 3299. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 7*q**2 - 113 - 127 + 365.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*m + 7*m + 11 = 0, 4*z - 29 = 5*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 24*x - 21 = 0. Let v(a) = -a**3 + 9*a**2 - 3*a - 22. Let o be v(8). Sort o, -5, x in descending order.\nAnswer: o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - l + 18 = 85, 0 = a - 3*l - 31. Suppose 0 = z - 11. Let g = a - z. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102972839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 17 = 19*c - 20*c, 6*v + 3*c = -39 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4\/56)\/(-1)*8)\/(12\/(-42)). Let r(o) = 7*o**2. Let p be r(1). Suppose 0 = -2*w + p + 1. Solve -5*f = -w*n + 13, -3*f - 2*f - z*n - 31 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662 a factor of 145863986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162729488 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4561255622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 + 7*f + 1. Let k be r(-8). Suppose 2*t + t = k. Solve 5*o - t = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 + 10 - 3 - -5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m. Let f = m - -10. Let l be 5\/30 - (-17)\/6. Sort 0, f, l in increasing order.\nAnswer: 0, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 25 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*o - 18 = -0*o, 14 = -w + 5*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-5)*u\/(u\/u**5)*u**4\/u assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -78*r - 28. What is k(-1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354 less than 14119\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, 3, -4, 0.5 in increasing order.\nAnswer: -4, 0.5, 3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 34239378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -248381, -496761, -745141, -993521, -1241901?\n\"Answer: -248380*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41939527 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1760)\/(-2475) - ((-40)\/(-25) + -1). What is the closest to 0.2 in 1, -0.3, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s - 48. Let h be 100\/400*(2 + -2). What is m(h)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b**5*y - 4*b**3*y**2 - 4*b**3*y - 76*b**2*y**2 + 5*b**2 + 93*b*y**2 - y wrt b?\nAnswer: 660*b**2*y - 24*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101111000 - 122111?\nAnswer: 100211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 - t - 1. Let z be r(1). Let v be 6\/12 - (-15)\/z. Suppose 0 = -h + 1 + 1. Solve -h*a = -3*j + 2*a + 3, 4*j + v*a = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200000012121 + -10?\nAnswer: 11200000012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50664, -100622, -150582, -200544, -250508, -300474, -350442?\nAnswer: -400412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7386, 12773, 18136, 23463, 28742, 33961, 39108, 44171?\nAnswer: 49138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5. Let k be (152\/(-18))\/(-4) + x. What is the third biggest value in -1, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 2. Suppose 0 = 2*t + 4 + 4, i - 3*t = 18. Give m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.3. Let x = g - 0.1. Let k = -0.32 + -0.08. Which is the third biggest value? (a) x (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5485002695 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*n*w + 24*j**3*n + 399*j**3*w**3 - j**2 + 2*j*n*w**2 + j*n*w - n*w**3 wrt w.\nAnswer: 2394*j**3*w + 4*j*n - 6*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amhs when four letters picked without replacement from {m: 1, z: 4, h: 2, a: 3, s: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 1 + 1 - 13 + 207*u**2 - 16*u - 214*u**2. Let x be l(9). Suppose -f - 38 = -4*f - 5*j, -5*f + 46 = 4*j. Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11582?\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -186d?\nAnswer: -186d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 17*y**3 + 2*y**2 + y - 1. Calculate the remainder when h(2) is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-u - 3 + 3) + u - u + u)*(2*u - 2*u - 2*u)*(20*u - u - 2*u) - 6*u + 4*u**3 + 6*u + (3 - 3*u - 3)*(1 - u**2 - 1).\nAnswer: -61*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/7, -78, -4, 11\/14 in ascending order.\nAnswer: -78, -4, 2\/7, 0.5, 11\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 4. Let n be d(-3). Suppose -n = o - 3. Suppose 0 = -3*x - o*x + 40. Calculate the remainder when 37 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1*(-98)\/21\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-32) + 0 - 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(32)*2) + sqrt(209)\/(-2*(sqrt(11) - -2*sqrt(11)) + sqrt(11)) - (3*sqrt(190)*4)\/(sqrt(1960)\/sqrt(4) + sqrt(10)))**2.\nAnswer: 75411\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 4*l**3 - l**3)*(-l**2 + 0*l + l + 6*l).\nAnswer: 4*l**5 - 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 78 (b) 17 (c) 1 (d) -1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6, 9*l - 74 = 4*l - 3*k. Solve -3*c + l = 2*x, 22 = 5*x - 2*c - c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vivg when four letters picked without replacement from igxvgv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 11*p - 1. Let m(v) = -v**2 - v - 1. Let z(t) = 2*m(t) + q(t). Suppose -3*r = -r + 5*a + 40, 16 = -4*a. What is the units digit of z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91 - 647520?\nAnswer: -64745c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*t - 1, 6 = f - 5*t - 7. Suppose -1 = -o + f. Suppose c - o*c = 2*z - 40, 3*z + c - 74 = 0. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w + 45*w - 6192 = 80*w. What is the highest common factor of w and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*j + 142 = m, 0 = -2*m + 2*j + 52. Let x be 2\/(m\/395) - (-4)\/(-12). Suppose -7*t + x = -9. Solve t - 11 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/675615 or -1?\nAnswer: 2\/675615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8052 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: Expand (-2*z - 2*z + 3*z)*(-3 + 3 - 11*z**2 + (4*z + 2*z - 5*z)*(-3*z + 2*z + 2*z) - 3*z**2 + 2*z**2 + 3*z**2 - 11*z**2 - 10*z**2 + 4*z**2).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1566*f + 28147. Calculate a(18).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.3 - -11.944. Let o = f - -1.246. What is o rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4 + 1297*x**3 + 559869*x**2 + 80057803*x - 162365474 = 0. What is x?\nAnswer: -433, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 477, 1012, 1787, 2832, 4177, 5852?\nAnswer: 7887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.9 + -76. Suppose -4*w + 0*w = -4. Put j, 3, -1, w in ascending order.\nAnswer: -1, j, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae290 + 1?\nAnswer: ae291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0 + 8. Let x(m) = 9*m**2 + 5*m + 1. Let t = 271 - 267. Let i(d) = -10*d**2 - 7*d - 1. Let j(v) = t*x(v) + 3*i(v). Give j(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 x, and 1 v when four letters picked without replacement from vkxxvkzzkvzzkkv?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7671510 divided by 1435?\nAnswer: -5346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5115*b. Let t(j) = 16*j**2. Calculate q(t(n)).\nAnswer: -81840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -7, -4, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z**(3\/7)\/z)**(-9)\/((z**2)**38*((z\/(z*z**(-8)*z*z)*z)\/z)\/z**(-7)) assuming z is positive.\nAnswer: z**(-2809\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23c + 8?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202004 + -13321?\nAnswer: -220330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55947, 111841, 167783, 223779, 279835, 335957, 392151, 448423?\nAnswer: 504779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 8*d + 7 - 31 + 9 + 35.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 258c - -4a4a?\nAnswer: 7309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 - -280. Is -98 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 51. Let x be 4\/(-6)*-6 + -7 + 0. What is the remainder when r(0) is divided by (29 - 9) + 1 + x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6176*u**3 + 3*u**2 - 48*u + 46. List the prime factors of w(1).\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) - (-3774)\/370. Suppose 5*z = 6 - 1, 0 = -2*m - z + 7. Solve m*c - r = -d - 0*c, 0 = d - 5*c + 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9560 by -1.\nAnswer: -9560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:25 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24*d + 57. Let h(a) = 6*a + 185. Let l be h(-32). Let s be b(l). Calculate the greatest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iddxvdxdxdxddxxvxx. Give prob of picking 1 i and 1 x.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3041, -12154, -27359, -48668, -76093, -109646, -149339, -195184?\n\"Answer: -2*k**3 - 3034*k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4.386, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 35*f**4\/3 - 10*f**3\/3 + 25*f**2 + 5. What is the first derivative of y(p) wrt p?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/6 of a minute?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100176 - -3475. What is w rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332022 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54.467545 and -0.3.\nAnswer: 16.3402635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2))**2*-1 - 1*(sqrt(11) + -2).\nAnswer: -9 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167\/(-269705)*95 + ((-1227)\/(-51) - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4 - 16. Put 3, -1, z in decreasing order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 8*d = -4*d + 35, 3*n = 2*d + 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -26 - 15 - 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.59 - 5.563.\nAnswer: -8.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:37 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 2*w, 3*w + 5*n = 10*n + 13. Let y = 2 + -2. Sort -2, y, w in descending order.\nAnswer: y, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - 56*z - 10. Let q be i(-19). Let t be 2 + 2 - (-1556)\/q. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67959*a**4 + 3*a**3 + 20*a**2 + 116*a - 56?\nAnswer: -1631016*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 84*n - 8. Let i(k) = 9*k. Let u(d) = -4*i(d) + x(d). What is the first derivative of u(b) wrt b?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 25. Let f be (-40)\/(-25) + a\/(-10). Let o(b) = 3*b**2 - 6*b + 3. Let k be o(2). Solve 0 = -f*w - k - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**4 - 10*w**4 - 12*w**4)*(-10*w + 0 - 8*w - 1).\nAnswer: 252*w**5 + 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 = -g. What is the derivative of 2 + 317*c**2 - g*c**4 - 317*c**2 wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 648. Let x(f) = 5*f**2. What is x(a(m))?\nAnswer: 45*m**2 - 19440*m + 2099520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328\/15 - -397\/60. Let c = 4836 - 135445\/28. Find the common denominator of c and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*w - w. Suppose -11*g - 47*g + 8*g + 100 = 0. Put 18, w, g in descending order.\nAnswer: 18, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -10490.\nAnswer: 1\/10490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - c. Let b(z) = 9*z**2 + 4*z + 71. Give b(q) + 5*l(q).\nAnswer: -q**2 - q + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329215684?\nAnswer: 2, 3, 2357, 82351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 9372947.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 1645*a**4 + 8271*a**3 - 34597*a**2 - 87422*a - 46200 = 0. What is a?\nAnswer: -7, -1, 4, 1650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.94962 months to centuries.\nAnswer: 0.03579135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*r - 128, 67 = -2*r + 3*r - 2*p. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 68 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 119 and 120 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5 - 6 + g - g**3 + g**2 - 4*g**3. Suppose 3 - 6 = -3*f. Determine w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*x**3 - 7474*i*x + 65637258*x**3 - 2187*x wrt x.\nAnswer: -18*i*x + 393823548*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 49*v**3 - v**2 + 2*v + 16. Let g be q(4). Let b be (g\/(-10) - -2) + (-6)\/(-15). What is the hundreds digit of b\/9*(-3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49, -72, -111, -166, -237, -324, -427?\n\"Answer: -8*f**2 + f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.004, -1, 0.7, 0.1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 22. Let f(o) = -o**2 - 11*o + 6. Let s be f(-11). Solve -s*j = g - 2*j - p, -j = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25413611, -25413615, -25413621, -25413629, -25413639, -25413651, -25413665?\n\"Answer: -h**2 - h - 25413609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-83 + -20) - 174.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43013?\nAnswer: 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 4*o**2 + 3*o**2)*(-5 + 5 - 2*o**2) - 24 + 24 + 10*o**4.\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -211.\nAnswer: 23\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -233\/3. Which is the second biggest value? (a) -5 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewe when three letters picked without replacement from feeww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 less than -434766.188245?\nAnswer: -434743.188245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 14*m + 72. Let x(y) = 56*y + y**2 - 53*y - 3 + 4. Give x(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-225)\/(-12) - (-3)\/(-4). Calculate the highest common factor of f and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -75*m**4\/4 - 16*m**3 - 113. What is the third derivative of i(c) wrt c?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d - 18. Let a be f(9). Let v = 72 + a. Let x = 159 + v. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735322 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w = 27482 - 26802 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-3)\/1 - -4). Suppose l*d - 4*r = 689, 2*d + 2*d - 568 = -r. Which is smaller: d or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 - 115. Let i = 3 - 3.09. What is the third biggest value in i, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*h - 29*h - 1862*h.\nAnswer: -2005*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 989 - 1343. Put -5, q, -0.5 in descending order.\nAnswer: -0.5, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.02 + -0.02. Let p be (0 - 9\/(-1)) + -1. Let a be (-14)\/p + 3\/3. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**2 + 89943340*h - 59962232.\nAnswer: 4*(h + 7495279)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -132 + 2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**2 + 3*w + 10. Let q be c(-2). Let k be 0\/(-3) + -2 + -2. Let v be (q\/(-9))\/((-2)\/k). Let j(m) = 2*m. Give j(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7140 is divided by 2646.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99 + 34 + 29 + 31 - 19*a wrt a?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.21824296 and 1.8.\nAnswer: 11.01824296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12278172?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -184, -247, -308, -367, -424?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*p - 307*p + 115*p to the form c*p + d and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 + 5)\/1)\/(-5 - (-140)\/25). Solve 6*m = -l + k, -5*m + m = -l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1045 divided by 9118.\nAnswer: 1045\/9118","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -661\/180734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, f: 3, p: 3, m: 2, r: 1}. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1 - 9 + 6*o + 1 + 2*o**2. What is the tens digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32883 - -62535. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4760372 hours in days?\nAnswer: 0.06150155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -6, 34, 120, 270?\n\"Answer: 3*x**3 - 4*x**2 + 3*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 17*a + 26. Let b be o(6). Solve -s + 5 = 0, -b*n + 15*n = -5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 50 = 0, -2*f - 44 = -4*a - 76 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -14399.\nAnswer: -1439.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-90) - (1 + (-1023)\/(-15)). What is the lowest common multiple of 3 and 24\/64 + f\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1\/20*w**5 - w - 9\/2*w**2 + 13\/12*w**4 - 7\/3*w**3 + 0. Is j(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*m = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuxg when four letters picked without replacement from {u: 3, v: 1, l: 1, g: 1, x: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173168 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 464, -1765, -3994, -6223, -8452?\n\"Answer: -2229*c + 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**5\/20 + 5*o**4\/12 + o**3\/6 - 9*o**2\/2 + 22*o. What is the units digit of m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -3)\/(2\/(-14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2. Let x(s) = 2581583*s. Calculate x(r(b)).\nAnswer: 7744749*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23181 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123741801.\nAnswer: 3, 31, 37, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74040 (base 8) to base 11.\nAnswer: -21117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u*u\/(u\/(u\/u**(-2\/5)*u*u)*u)))\/u)*u*u\/u**(1\/10) assuming u is positive.\nAnswer: u**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152673005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 29*z**5\/12 + z**4\/8 + z**3\/3 - 39*z**2. What is the units digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 - 5*f - 6. Does 18 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1363839971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 2*t. Let v be l(-3). What is the common denominator of 158\/v - (-5)\/15 and 37\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/9, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2 (b) -0.2 (c) -5 (d) 0.08 (e) -5\/52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 90*v**4 + 44*v**3 - 76*v**2 + 4*v. Let u(w) = 8*w**4 + 4*w**3 - 7*w**2. Let s(y) = -6*g(y) + 68*u(y). Factor s(a).\nAnswer: 4*a*(a - 2)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**6\/720 - q**5\/30 - 7*q**4\/12 - 4*q. Let z(h) be the third derivative of i(h). Determine z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/80 and 161\/2400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*b - 211, -y - 4*b = 2*y - 131. Suppose -2 + y = 3*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (98\/(-6))\/7. Suppose -13 = -i + 5*i - 3*q, 0 = -i - j*q + 5. Is i bigger than 8\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -81. Is -1*30\/t*(-12234)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-28) + (-198)\/8. Let z = q - -29. Calculate the remainder when 14 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2 and (-61)\/24 - (-10)\/(-60).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1368 and 11767992.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29c4 (base 14) in base 8?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4316 and 3479775?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 - 12670*l + 5 - l**2 + 10*l**4 + 12668*l to p*l + i*l**4 + c + g*l**3 + t*l**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -20398\nAnswer: -1\/20398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-29)\/((n*n*n*n*n**3*n*n)\/n**(-1)) assuming n is positive.\nAnswer: n**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -245*k**4 + 25830*k**3 - 36140*k**2 - 27000*k - 4160 = 0.\nAnswer: -2\/7, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 4 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29638 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 1 + 10 + -13 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 901890.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -h + 647, -3*h + h = -p - 1291. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -54, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 + 6*m - 3. Let h be j(-6). Let z(x) = 5*x + 19. Let u be z(-4). Is h >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 62*h**2 - 609*h - 125. What is b(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 4*p**2 + p. Suppose 0 = -4*n + 25 - 17. Let s be o(n). What is m in -8\/5*m - 4\/5 - 4\/5*m**s = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 216, 0.3, 2\/7, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s - 44. Suppose 0 = -4*m - 2*h + 2228, -2863 = -5*m + 2*h - 96. What is the smallest common multiple of s and m\/(-74)*(-8)\/10?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9997 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**2 - 35332*v - 11778 = 0 for v.\nAnswer: -1\/3, 5889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -4. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 216\/1333 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**5\/60 + u**4\/24 - 11*u**2\/2 + 4. Let r(p) be the second derivative of b(p). Suppose -m - 1 + 4 = 0. Calculate r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -543. Let s = 498.0506 - d. Let x = s - 0.05. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i - 6. Let b be q(8). Suppose 0 = -5*d - 2*x - b, 5*x = 5*d + 33 + 37. Let r = -4 - d. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 + -15 + 1803986169\/12. Suppose 0 = -23*x - 53295165 + v. Round x to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {u: 1, s: 5, f: 8, j: 1, d: 3, p: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/41? (a) -3\/7 (b) 0 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 2*w**5 + 3*w**5 + (1 - 1 + w)*(-2*w**4 - 4*w**4 + 4*w**4) - 70*w**5 - 60*w**2 + 60*w**2.\nAnswer: -69*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - j = 1651, -3*j - 256 - 63 = r. Let u = 241 - r. Does 51 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*d + 6*d - 57*d + 2 + 0 as c + g*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - d + 0*d + (-25 + 15 + 14)*(2*d - 4*d + 3*d))*(-25*d - 205*d - 123*d - 54*d) to the form f + y*d**2 + o*d and give y.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 + -214. Suppose -11*j - 4*b = -y*j - 36, -b - 3 = -2*j. Let d = -0.6 + 1. What is the smallest value in -11, j, d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-3))\/(0 + -2). Suppose -2*k + 234 = -o. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -2*c + 79. Let y = c - 61. Suppose -y - 286 = -2*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155*o**6 - 9671*o**3 + 14764*o**2 - 43*o - 1 wrt o?\nAnswer: 18600*o**3 - 58026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h + 130. Suppose -l = -5*i + 430, l - 372 + 106 = -3*i. Let y = i + h. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1567335)\/9086*(12\/(-10))\/(-3).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 3*y**4 + y**4 + (-2*y - y + 4*y)*(2*y**3 + y**3 - 2*y**3) - y**4 + 3*y**4 - y**4 - y**4 + y**3 - y**3 + 4*y**4 - 3*y**4 + 6*y**4.\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9083 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t + t + (-3*t + t - 19*t)*(-5 + 3 + 3))*(0*t - 3*t + 5*t).\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-13) - 4 - 22192\/(-39858)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*q**3 + 3*i**2 - 524*i*q**2 - 2*i*q - 2*q**2 + 9*q - 49 wrt q?\nAnswer: 12*i**2*q - 1048*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let b be (-1)\/w*196\/(-2). Let g = 344\/7 - b. Is g greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*w = -166*w - 96. Let r(z) = 4*z - 18. What is the tens digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 145\/435 + (-34)\/74. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + -3 - -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3*s**2 - 3*s. Let k be z(2). Suppose -3*p - t + 9 = p, -5*p + k = 4*t. Factor 3*f**3 - 2*f**5 - f**3 + 0*f**p + 2*f**2 - 2*f**4.\nAnswer: -2*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-33)*(-6204)\/1128\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 6. Let l be d(-5). Let p = -3 + l. Find the first derivative of j + j**4 + p - j wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179.1 + -183.1. Which is the smallest value? (a) -3 (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -483.7 + 483.1. What is the smallest value in h, -1, 0.02, -1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:36 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384042?\nAnswer: 2, 3, 127, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.090461 * 0.605\nAnswer: 0.054728905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/((-2)\/(-3)))\/(57\/(-76)). Solve -2*v = -5*z - 11, 3*z + 9 = -3*v + u*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/13 + 3032036*i**4\/13 + 51545064*i**3\/13 + 191020572*i**2\/13 - 245597670*i\/13 = 0 for i.\nAnswer: -9, 0, 1, 1516035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:12 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c**4 + 4 + c - 1\/5*c**5 + 0*c**2 + 0*c**3. Differentiate x(y) wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4929 and 61745.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a second in milliseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 86*m - 48. Let s be b(28). Solve -s*d - 3 = -9*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46\/3 - -15. Let m = 0.01 - 0.31. Sort m, y, 0.3.\nAnswer: y, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/2*(770\/28)\/(-55)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25662 (base 7) in base 14?\nAnswer: -26d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7*n)\/n)\/((n**9*n)\/n)*n**(1\/5)\/((n\/n**(-5))\/n) assuming n is positive.\nAnswer: n**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times 9115\nAnswer: -1276.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.76 at least as big as 7\/2098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536948343 to the power of 1\/3, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/4, 50\/3.\nAnswer: -1\/4, 6, 50\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, 7.648, 2\/7, 11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 5*j - 11. Let h be k(-8). Suppose d = -5*a + h, -2*a - 3*a - 2*d + 11 = 0. Solve -4 = w - 3*c, 1 = -w - c + a*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6737 - 94413\/14. Find the common denominator of i and -34\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 2. Let x(i) = -8*i + 6. Let r(d) = -11*k(d) + 4*x(d). Let u be r(1). Suppose 2*z = -g + 4, 0 = g + u*g + 2*z - 22. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3 - 3*m + 5*m + 0*m. Let x(r) = r + 11. Let g be x(-8). Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 340, 551, 786, 1051, 1352, 1695?\n\"Answer: z**3 + 3*z**2 + 177*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + b + 33, -4*b = 4. Solve -7*w + 9 = z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47270 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -2233 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*t - 72, t - 3 - 15 = 3*c. Let j be 2\/9 - 4\/t. Let d = 1 - 1. Solve j = -4*l - 3*f - 7, d = 4*l + 4*f + f + 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616 and 3.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444682 - -4.9305?\nAnswer: 444686.9305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5808, 23177, 52120, 92643, 144752, 208453?\nAnswer: 283752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 6, -34, -106, -210?\n\"Answer: -16*a**2 + 40*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0 - (-105 - -66)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 530. Let o be 6 - 4 - (-2)\/(-4)*4. Let q be i(o). Suppose 0 = -2*t + 4, 2*t + q = 4*g - t. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 + 101?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.9. Let g = q + -3. Let n = 2.2 + g. What is the third biggest value in n, -2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4623 + 4612.6. What is the closest to -1 in 1, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423 and 10011987.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((288\/(-28))\/(-4))\/(1806\/(-16856))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-25 + -7 + 19 - (6 + -5 - 1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -189127128 and 6.62.\nAnswer: -189127121.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.028 (b) 0.3 (c) 4 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 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 -50 = -24*o + 94 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19169663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.693 + 1.093. Which is the second smallest value? (a) o (b) -27 (c) 2\/3 (d) 1\/6 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4 - 9103*q**3 + 2*q**2 - 6305*q wrt q?\nAnswer: -48*q - 54618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121685377.\nAnswer: 11, 11062307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(3) - sqrt(3)*2)).\nAnswer: -15 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-159)\/5*(1 - 0). Let s = a - -32. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 22 = 45*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 20*v + 408. Let c be t(-20). Let g(a) = a**3 - 7*a**2 - 9*a + 4. What is g(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 164, -2.\nAnswer: -4, -3, -2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/49)\/c**2*c**(-26)*c*c*c**(6\/5))**(-3) assuming c is positive.\nAnswer: c**(18258\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 31 = 59. Suppose 5*x + l = 4*m, m - 3*x = x + 10. Suppose -2 = -m*s - 0. Is 0 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27430589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1113*g**2 - 950 with respect to g.\nAnswer: -2226*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - 2*m**2 + 0*m**2)*(-3 + 1 + 20) + 1 - 1 - 2*m**2 + 13*m - 10*m**2 + 14*m**2 - 6*m**2 in the form h*m + s + d*m**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 7. Suppose q + 3*m = 1, -4149*m + 4150*m + 2 = 2*q. What is the closest to 1 in -6, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24230.2l?\nAnswer: 24230200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/(t**(-9)*t)*(t\/(t\/t**(-6\/13)*t))\/t*t**5\/t)**(-1\/20) assuming t is positive.\nAnswer: t**(-23\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81757764 is divided by 254.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246622 to the power of 1\/2, to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 + r + 7. Let n be t(-5). Let i = 1 + n. Suppose -4*b + 10 = -i*b. What is the smallest common multiple of b and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854719 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82758 divided by -2122.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Solve o*m = 7*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*x = 321*x + 3, x = 2*a - 6*x - 19 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.376+0.4\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - (-13 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 10:11 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 + (-7)\/(-1). Let a(g) = -g + 13. Let u be a(9). Suppose -3*y - 3*b = -2*b - u, 0 = -o*y - 3*b - 3. Solve y*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -140. Suppose -x + q = 3*k, k = x + 1 + 7. Solve -t - 6*y + 3 = -y, 0 = 4*t + y - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:37 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c53b - 1?\nAnswer: -7c53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.11 + 0.11. Let m = r - -3. Let q = 40.4 - 43.4. What is the third smallest value in q, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1025*y + 2044*y - 41779 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.2, 2\/9, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m - 461. Calculate d(-40).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.759 + -0.81. Let b = 0.05125 + q. Round b to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -901500 rounded to the nearest ten thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 4*w**3\/3 - 60*w**2 + 896*w - 4364. Determine m so that t(m) = 0.\nAnswer: 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829512.\nAnswer: 2, 3, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-15))\/((-3)\/(-6)). Let q(w) = 3*w - 2 + 6*w**2 + 4 - w**3 + 3*w. Let f be q(7). What is the nearest to -1 in g, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (5 - 0 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-8) + (-2380)\/(-32) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 - 4*n - 4. Let m be q(4). Let c(v) = v + 4. Let p be c(m). Let l(y) = -y**3 - y**2 - y - 3. What is l(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (8 - (5 - 0)) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or -15548?\nAnswer: -15548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 58.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 v when three letters picked without replacement from {c: 4, v: 1, u: 1, y: 2, w: 8}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/52394244 and -13\/3742446.\nAnswer: 52394244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**3 - 12*a**2 - 821*a - 3. Determine m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848394 divided by 5237.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t**2 + 3*t)*(3 - 3 - 2*t**2) - t**4 + 2*t - 2*t + t - 9*t**4 + 19853 + 3*t**4 - 19859.\nAnswer: -5*t**4 + t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 827245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.2347 and -9.\nAnswer: -11.2347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from 0.5902.\nAnswer: -23.4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*x - 0*s - 10, 3*x = 16*s + 38027 - 37925 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286306 is divided by 1434.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 4.04. Let u = -0.3 + -1.7. Let h = s + u. Which is the closest to -1? (a) 1\/3 (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 5*z - 13. Calculate s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1625221367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4930*m + 49435. What is j(10)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29622.\nAnswer: 2, 3, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3454, 5, 0 in descending order.\nAnswer: 5, 2, 0, -3454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 - -65. Let d = -61 - h. Let f = 7 - 7.3. Which is the second smallest value? (a) f (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209\/36 - -50\/9. Which is smaller: 6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, w: 5, y: 3, r: 4, l: 1, x: 5}. What is prob of picking 1 y, 1 l, and 2 r?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 5 - 1)*3\/(-36). Which is smaller: -6 or r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212890559 to the power of 1\/2, to the nearest integer?\nAnswer: 34827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 23875.6, 5, 6 in ascending order.\nAnswer: 2\/7, 5, 6, 23875.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23419*f - 21033*f + 1993*f.\nAnswer: -42459*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**8\/336 - 2*k**5\/15 - 5*k**2. Find the third derivative of g(c) wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*-1)\/sqrt(6)*-6)\/((sqrt(5) + (sqrt(720) - 2*sqrt(720)) + sqrt(720) - sqrt(5)) + sqrt(605) + sqrt(605) + sqrt(605)*-1).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2007)\/(-1784))\/((-6)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 96.97. Let p = i - -0.17. Let l = -0.08 - 1.92. Which is the biggest value? (a) l (b) p (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(0 + 0 - (-80)\/(-64)). Suppose -7*a = -4*d - 5*a + 400, 4*d - r*a = 394. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*p**4 + 10*p**2 - p + 84?\nAnswer: 396*p**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(3\/(-9)*-3). Let v(a) = a**2 - a. Let c be v(r). Solve -3*z = b + 2*z - 20, c = 3*b - 4*z + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 164*x + 165 = 0. What is x?\nAnswer: -165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 13*l = -2*v - 84, -4*v = l - 21. Calculate the remainder when 82*(1 + (-1)\/2) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1. Let x(l) = l**3 + 6*l**2 + 4. Let i be x(-6). Let g be t(i). Let p = 11 + -7. Solve p*k + 0*k + 2*f = 12, -5*k - g*f = -25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from uzuhslz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-2 + 27 - 5)*(-y - 3*y + 3*y)*(-2 - 6 - 4) as p*y + z and give p.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -663 or -665?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(2 - (-80)\/(-36)). Calculate the common denominator of ((-6)\/z)\/((-4)\/(-246)) and 355\/(-210) - 1\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from yepyjtsj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/20)\/((-17)\/(-102))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rara when four letters picked without replacement from {a: 11, r: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(2\/17)))**7\/(i**19\/(i\/(i**2*i))) assuming i is positive.\nAnswer: i**(-371\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206605*t**2 + 366472 - t**3 - 366472.\nAnswer: -t**3 - 206605*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 170480 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 8. Suppose d + 16 = 66. Suppose -3*w + o = -d, 3*o = -5*w - 0*w + 102. What is the remainder when l(9) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-11)\/(-55)). Let d(z) be the second derivative of 0*z**4 + 0 + 0*z**5 + 0*z**3 - 1\/15*z**6 + 2*z - z**t. What is the derivative of d(r) wrt r?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6912 divided by -6?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 3. Let k(p) = 4*p - 7. Let d(i) = -6 - 7*i - i - i**2 - 2*i. Let r be d(-9). What is r*k(j) - 7*h(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*z - 392637*a + 1432867*z with respect to a.\nAnswer: z - 392637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1867602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 16*c**2 - 47*c - 254. What is w(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. What is the greatest common divisor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 - -2)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59260 and 410?\nAnswer: 2429660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*g + 6437 = 1763 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 - -0.03. Let b = 1671\/2912 + -1\/416. Let y be 2\/3 - (-104)\/(-138). Sort q, b, y in descending order.\nAnswer: b, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + d + 168054, 3*f - 409*d - 252037 = -413*d. Round f to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v - 110. Let w be u(13). Suppose 18 = -l + 4*i, 28*i - 26*i - w = -5*l. Solve p + 2*c - 1 - 2 = 0, 4*p + l*c = 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2132630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -7, -5, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 9}. What is prob of sequence ehe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 + 1112*j**3.\nAnswer: 1112*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 9) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkzw when four letters picked without replacement from {i: 1, k: 2, r: 2, w: 1, z: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 10 = 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-90))\/((-24)\/(-72))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l - 1. Let k be v(-1). Let p(f) be the third derivative of 0*f + 1\/6*f**3 + 0 + 2*f**k - 1\/24*f**4. Calculate p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + 1 + 0 + 0 + (5 - 4 + 1)*(-2 - 1 + 4) - 16 - 12 + 29)*(2 + 0 - 4)*(3 - 3 + n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*(-46)\/138.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 - 3*p**2)*(-p - 3*p + 6*p)*(-7 + 22 - 27) + 3*p**3 + p**3 - 5*p**3.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - v = -653, -z + 2*v - 4*v = -165. List the prime factors of z.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121998295 or 121998294?\nAnswer: 121998294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {b: 8, r: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 564.6 - 1192.1. What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34378 - 159.36622. Round z to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-48)\/(-16))*-1*23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(405) + -2 - ((sqrt(5) + 2 - sqrt(5)) + -4)**2) + -2 + (-3*sqrt(605))**2).\nAnswer: 18*sqrt(5) + 10874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9))\/((-548)\/2466)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 5:31 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 7 + 8)*(-l**2 - l**2 + 3*l**2).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*r - 116*r - 8 + 8 = -3*d, 2*d = -r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -379\/187 + 21\/11. Let d = 7 + -4. Which is the smallest value? (a) 0.1 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (-176760)\/(-4554)) + 6\/(-22).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let g(v) = v**2 + 11*v - 2. Determine g(r) + 2*p(r).\nAnswer: r**2 + 9*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155 + 163. Let g be 5\/50*r*(-1 + -35124). Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67.32 - 66.62. Sort b, 1, -2\/9, -1, -0.3 in decreasing order.\nAnswer: 1, b, -2\/9, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.95 + 0.05. Let q = -1 - -4. Suppose q*k = -k. Which is the closest to k? (a) s (b) 4\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*z**3 + 16 + z**3 - 203*z**3.\nAnswer: -352*z**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 57\/2 of a minute?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.5 - 15.3. Let t = 0.35 + 0.03. Which is the second biggest value? (a) -5 (b) t (c) 0 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/11*(1 - 2). Let y = -5443 + 179602\/33. Let b = n + y. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153218 and 6547762?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 7) to base 2.\nAnswer: 10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230*o**2*t + 88*t with respect to o.\nAnswer: 460*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.505 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -1. Let d(i) be the first derivative of i**3\/3 + 2*i**2 - 7*i - 58. Let u be d(-6). What is the biggest value in 0, r, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37, 8\/25, 1\/2, 81\/7, -3\/5.\nAnswer: -37, -3\/5, 8\/25, 1\/2, 4, 81\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4046*y**3 + 11329*y**3 + 36*y - 36*y + 3551*y**3.\nAnswer: 10834*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*3\/(-3)*1 + -45. Let f = x + 87. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 149*k**2 - 7*k - 80. Let i be c(-10). What is i rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:24 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068967 divided by -6179?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -b11b8 (base 16) in base 9?\nAnswer: -1325085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1110*v + 1977 wrt v.\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1825*j - 36481. Determine y(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22247*l**2 + 2*l**3 - 4*l**3 + 0*l**3 - 22239*l**2.\nAnswer: -2*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 - 11*r**2 - 13*r - 9. Let f(d) be the second derivative of -d**3 - 2*d**2 + 0 + 1\/10*d**5 - 5\/12*d**4 + 63*d. Determine 9*f(b) - 4*v(b).\nAnswer: 2*b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -414?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 584*h. Suppose r - 4 = -c, 2 = 4*r - c + 1. Let s be l(r). Suppose s + 1016 = 5*o. Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 17*u + 36. Let p be i(13). Is -19 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479180 not equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otwwptjtwpwfpt. What is prob of sequence of?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -5, 0 in ascending order.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (-8)\/6. Suppose -2*l - t*l = -8. Let h(s) = s + 2. Let m(i) = 1. Let p(o) = 4*h(o) - 11*m(o). Calculate p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10189?\nAnswer: 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/86812 and 58\/9865.\nAnswer: 434060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*-1*1 - (((sqrt(1872) + sqrt(1872) + 0)**2 - sqrt(13)) + 2))*2.\nAnswer: -14980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 11*c**2 - 7*c - 2. Determine t(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*l = -166*l + 85*l + 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4825080 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 622987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let h = 1 + p. Suppose -5*u = -u + 8. Which is the nearest to -0.3? (a) h (b) u (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/345 and -5\/414.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 14}. What is prob of sequence uq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 57*t - 63. Let y(d) be the second derivative of 8\/3*d**3 + 2*d - 4\/3*d**t + 1\/5*d**5 + 0 + 0*d**2. Factor y(g).\nAnswer: 4*g*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101656 and 6208?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173\/8 less than or equal to 0.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2341 and -2.\nAnswer: -0.4682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*((-10)\/(-8) + 0). Let w = d + 16. Let l(u) = 5*u**2 + w*u**2 - 5*u**2 - 8*u - u**3 + u**2. Give l(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -103. Let g(m) = m - 1. Let v(h) = -38*h - 8. Let t(u) = 12*g(u) + v(u). List the prime factors of t(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 9. Suppose -2*q = -4*w + l*w + 8, 3*w = -3*q - 6. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830301647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - -9)\/(2\/1). Suppose j = -m - 2*m + 75. What is the greatest common factor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 - 35 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/((r*r**(2\/11))\/r*r))\/r)*r)\/r**(1\/4))**24*((r**(-2\/3))**27)**50 assuming r is positive.\nAnswer: r**(-9126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + z. Let l(k) = -k**3 - 3*k**2 + 3*k. Let o = -1 + 26. Let u = 19 - o. Determine u*h(d) + 2*l(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356323 is divided by 707.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(3\/12). Suppose -5*s = -2*u + 23 + 84, 144 = 3*u - w*s. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -244, -3, 555 in ascending order.\nAnswer: -244, -31, -3, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 6. Let t(p) = 7*p - 11. Let q(x) = 384*x**2 + 1154*x. Let u be q(-3). What is u*t(r) - 10*b(r)?\nAnswer: -2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + a + 0*a**3 - a**3 - 41 + 3*a**4 + 39 to u*a**3 + o*a + k + c*a**2 + x*a**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -27*-3*(33\/27)\/11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608*g = 597*g. Solve g = 10*t - 2*t + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1641 + -16411\/10. What is the fourth smallest value in -16, 0.5, y, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1796668, 0.3, 3 in decreasing order.\nAnswer: 3, 0.3, -1, -1796668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*825\/(-100)*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 133?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 - -0.0485. Let j = n + -0.0685. Which is the third biggest value? (a) -0.3 (b) -7 (c) -2\/9 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 divided by -2?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 5*o + 4. Let z = -33 - -66. Let c = z - 24. Suppose j - 4*j = -c. Determine p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h. Suppose -y + 1056 = -2*q, h = -q + 2. Let x = y + -275. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/(-5) + 198\/90. Is 104\/2 - (-5 + v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, a: 13}. What is prob of picking 3 a?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 237. Which is the closest to v? (a) 5 (b) -0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njgnnnjnnggn. What is prob of picking 1 j and 1 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-4 - 2 + 2)*(13 - 2 + 7)*(1 - 1 - z + (1 + 2 - 1)*(-2*z + 3*z - 3*z)).\nAnswer: -360*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/595 and -6 + (-130)\/(-140) + 4?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.263 + -0.037. Let q = a - -5. Let u be 1*(-3)\/(-6)*-1. Sort q, 2, u in descending order.\nAnswer: 2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177282 and 38682?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46 + -31 - (5 + 0). Let i be (-1)\/(-1 + s + (-5 - 1)). Let l = -1 + 4. Which is the nearest to 0? (a) l (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*(33\/(-77) - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 18*j**2 + 178*j - 17. Let x be m(-10). Let f(k) be the second derivative of 0 + 5\/2*k**2 - 3*k + 0*k**x + 1\/12*k**4. Differentiate f(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(72\/(-16)) + 4430\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(931) - (sqrt(931) - (3 + sqrt(931))*4) - sqrt(931)) + -2 + sqrt(931)*2 + 0)**2.\nAnswer: 490*sqrt(19) + 23324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7*p - 16 = -12*p, -14 = 3*h - 5*p. Let v = -9 + 21. Let l be h\/4 - (90\/v + -7). Which is smaller: 3\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634361953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 + 4*l. Calculate f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15391 = 1477*r + 2450 + 23795 + 8582 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 3.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060370833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*a + 5*z - 23 = -644*a, -30*a = -2*z + 126 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k + 290 = -66*k. Let n = k - -76. What is the remainder when (-2*n\/(-12))\/((-5)\/10) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 2, o: 1, a: 2, m: 1, b: 2}. Give prob of picking 2 a and 1 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 11981 + 11981.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 140*p - 119. Let q = -34 + 40. Let t(b) = -7*b + 6. Give q*m(x) + 119*t(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 151*k**3 - 5773*k**2 - 5325*k + 11250.\nAnswer: -(k - 1)*(k + 2)*(k + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 8. Let w be d(8). Suppose w = 5*x - 32 + 2. Calculate the smallest common multiple of x and (-3 + 4)\/((-1)\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 61 = -3*y, -5*i - 4*y = -0*y - 63. Suppose -3*m + i - 26 = 0. Let q(a) = -2*a. Calculate q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 5*a**2 + 2*a**2 + (-3*a + 3*a - a)*(-2*a + 0 + 0) + (-5 + 1 + 1)*(7*a**2 + 16*a**2 + 4*a**2).\nAnswer: -82*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332 (base 6) to base 12.\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220665 by 47.\nAnswer: -4695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565607 and 686.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**3 - 39*m**2 + 98*m - 10. List the prime factors of y(10).\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001261484 to 7 dps.\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156155700*c**2 + 30345002*c.\nAnswer: -312311400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 347 and 11?\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(91))\/sqrt(7).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 39*g - 10. Calculate h(3).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r, -y = -4*y + r + 4. Let o be (-1 - (1 - y))*(1 + -6). Solve o*g = 2*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 516*t - 8. Let k be g(-3). Is 2\/17 - k\/68 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2962*b**5 - 2*b**2 + 78?\nAnswer: -177720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -2*z. Let d(w) = -7*w**2 + 2*w - 6. Let i(j) = 9*j**2 + 0 - 2 + 1 - 10*j**2. Determine z*d(m) + 5*i(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 9872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from xdxdrmrdxddr?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 991253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-10) + -1)\/((-162)\/540). Let s(g) = -g**3 - 7*g**2 - 7*g - 6. Let m be s(-6). Let x = y - m. What is the greatest common divisor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*q**2 + 44*q - 14939 wrt q.\nAnswer: -76*q + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 352 + 68 = -5*l, l - m = 58. Let g be (-2)\/l + 2\/7. Let j = -1.37 + -0.63. What is the nearest to j in -2\/15, 0.5, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 87.\nAnswer: 13\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 405*a + 406*a + 19 = 0, -5*q - 4*a = -2. Let p = 45 + -11. What is the least common multiple of q and p?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let j(f) = -7*f. Let a(l) = -14*l. Let n(b) = -2*a(b) + 5*j(b). Give x(n(w)).\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.7 in -2, -0.6, 0.1, -0.3, -38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:55 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 192953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 7. Suppose -3*m + n = -8. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49807815 + -49807857.199881. Let s = 42.2 + o. What is s rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 163?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -26846.\nAnswer: -1\/13423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egpkrjkerkrjjkp. What is prob of picking 1 p and 1 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-88) + 41\/164. What is the third smallest value in r, -1\/5, -0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -7, 4, 19, 38?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 + n + 1. Let s(u) = 4*u**2 - 3*u. Let q(f) = l(f) + s(f). What are the prime factors of q(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1) - (-11 + 4). Let p(y) = 3*y**2 - 13*y - 4. Let f be p(v). Solve 0 = f*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-273)*5\/(125\/30).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 227 + (0 - 0) + -2. Suppose -l = -4*q + 63. What is the highest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/21)\/(-5) + 900\/7. Let z = a + -127. Is (0 + 73)*(12 + z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.945 + 0.055. Which is the biggest value? (a) f (b) -2 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 67. Is 5 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:05 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393*z**2 - 1302*z wrt z?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 4)*2\/4. Let u = 17 + -12. Suppose u*i + z*c - 9 = 0, -4*c = 9 - 1. Solve 0 = 4*r - 3*r - 4*d + 16, -r = i*d - 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 - 33704*a\/3 + 89920\/3 = 0.\nAnswer: -5620, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/42*-4*(-141)\/2. Let k = 68 - a. Suppose 5*p - 4*p - k = 0. What is the greatest common divisor of 189 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/9)\/(-4) - (-5)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3751 - 4760 = -952*t + 57 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 take away -50?\nAnswer: 53.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*p + 125 + 1214 + 1963 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b564 + 0?\nAnswer: -b564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 - -6?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*t**3 - 15*t**3 - 85*t**3)*(-8 + 0 + 2).\nAnswer: 828*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11652, 11654, 11656, 11658?\nAnswer: 11660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.24 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000100110100110010 (base 2) to base 9.\nAnswer: 8372176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2776942*r**2 - 2*r - 1. Let n be u(-2). Let k = n + -607771. Round k to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 + 840*c**3 - 16672*c**2 - 340104*c + 355940 = 0.\nAnswer: -13, 1, 37, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-42) + 1\/(-3). Let p = -455 + 2018. Let w = p - 1563.5. Sort -8, 0, w, u in descending order.\nAnswer: 0, w, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 10\/3)\/(3\/9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/16*((-70)\/(-441))\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Suppose -j*t + 12 = -20. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -p + 109, -6*n + 11*n - 4*p = 545. Find the third derivative of -3*j**2 - 4*j**2 - n*j**6 + 4*j**2 + 10*j**2 wrt j.\nAnswer: -13080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2686 and 77578?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 1. Let l(t) be the second derivative of -2*t**3\/3 - t**2\/2 + 14437*t. Let z(c) = c - 1. Let j be z(-4). Let m = j + 1. What is m*l(k) - 5*q(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10395 = -25*y - 2*y. What are the prime factors of (y + 0)*(228\/21 - 10)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307812 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-3*-4*3.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -593110 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 + b - 2*b + 0*b in the form s + v*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83164 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13559 (base 11) in base 8?\nAnswer: -45547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 136.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from aztzamzzddatzzadzdz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -710 divided by 5\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 211110?\nAnswer: -211031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 224 and -740415212764.\nAnswer: -740415212540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1, -266?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011010110 (base 2) in base 5?\nAnswer: -14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (1 - 8)) + 2. Let b(o) = -2*o + 1. Let w(q) = -q + 1. Let s(k) = -5*b(k) + 8*w(k). List the prime factors of s(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -143*a + 295. Let g = 0 - 10. Let d = -5 - g. Calculate the smallest common multiple of d and w(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the derivative of 497*t - 67 wrt t?\nAnswer: 497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -655*m**2 - 6*m + 25469 with respect to m.\nAnswer: -1310*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**2\/2 - 2*r + 1. Determine i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5827, 5829, 5831, 5833, 5835?\n\"Answer: 2*o + 5825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1418.48 and 0.\nAnswer: -1418.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/4 - (1 + 1222). Let y = s + 9689\/8. Let i = 195\/8 + y. Calculate the common denominator of i and 38\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/104 + (-1)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29767033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 29054.\nAnswer: 87162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + y**2 - 2*y + 3. Let k(r) = -r**3 + 7*r**2 - 17*r + 15. Let f be k(3). What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-361)\/(-1083))\/(-2*(-1)\/56850) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-3 - (-1803 + 6\/(-2))). What is i rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -80. What is the lowest common multiple of k and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 = -5*r + 6*r, 0 = 5*w - 2*r + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11763 - -23525\/2. What is the nearest to -2\/25 in f, -3, 67?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or -119?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 41. Let o(v) = 3*v**3 - 5*v**2 + 6*v - 6. Let r(m) = m**3 - 2*m**2 + 2*m - 2. Let k(q) = g*r(q) - 2*o(q). Determine k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 0, 3*t + 1405577 + 124957 = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.034 to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 173429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(-2\/17)\/((((i**(-4)\/i)\/i)\/i)\/(i*i**(-2\/33))))**(-11\/4) assuming i is positive.\nAnswer: i**(-4421\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 671240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 57694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - b**4 - 27*b**3 + 77*b**2 - 74*b + 24.\nAnswer: (b - 4)*(b - 1)**3*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -396 - -964. Suppose 0 = 4*d - 6*d + b. What is the remainder when d is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/(-124) - 10\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z**4)*(-31 + 2 - 21).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + a**5 + a**5 + (-2*a**3 - a**3 + a**3)*(10 - 10 - 6*a**2) - 5*a**5 - 8*a**5 - 6*a**5 + (-2*a**3 + a**2 - a**2)*(-6*a**2 + 3*a**2 + 2*a**2).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 533405804 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j**3 - 11*j**3 + j**2 + 22*j**3)*(-3*j**2 + 58*j**2 + 28*j**2).\nAnswer: 2407*j**5 + 83*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 10*y + 143. Let d = 9 + y. Suppose 8*k = 5*k - 15. Sort 5, k, d, -1 in ascending order.\nAnswer: k, d, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 + 6 = 0. Let w be (-2)\/4 + 6\/k. Let t(f) = -f**2 - 2*f + 1. What is the units digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - -4a3?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9918486)\/4*1582\/(-7119) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 449 (c) -14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 151*w**3 - 2*w**2 - 2*w - 3. Let y(c) = 604*c**3 - 9*c**2 - 8*c - 14. Calculate 9*j(h) - 2*y(h).\nAnswer: 151*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 353 - 3481\/9. Let d = i + 34. Sort d, 3, 1, 0.\nAnswer: 0, d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**6\/45 - 2*k**5\/25 - 32*k**4\/15 - 464*k**3\/45 - 112*k**2\/5 - 352*k\/15 + 5722. Factor n(f).\nAnswer: 2*(f - 11)*(f + 2)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/189*60*(-3)\/(-5). Solve k = 2*g - r, 0 = -0*g + 5*g + r - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2001102002011222?\nAnswer: -2001102002012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 992 = -3*n + 1077, -2603 = 2*n - 33*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6962825*v**5 + 274197*v - 10 wrt v.\nAnswer: 139256500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321.94 + 323. Let t = 19.3 + -18. Let l = d - t. What is l rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y**2 + 4*y - 1. Let o(q) = -38*q**2 + 6*q - 1. Let c(t) = 5*n(t) - 3*o(t). Let l(k) = -28*k**2 - 5*k + 5. What is -5*c(m) - 2*l(m)?\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**7)\/p)\/p*p*p**(5\/4))\/(p**(1\/7)\/(p\/p**1)))\/((p**(1\/2))**12*(p**(-1))**40) assuming p is positive.\nAnswer: p**(787\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvpppvpvpv. Give prob of picking 1 v and 1 p.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdd when three letters picked without replacement from {e: 4, d: 1, k: 3, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1822481 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*20\/(24480\/(-54))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 + 11*k**3\/3 + 13*k**2\/2 - 7*k - 10. Calculate the remainder when s(-7) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13574 and 4327638.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8177*n - 1 - 4331*n - 1524*n + 52*n to the form r + m*n and give m.\nAnswer: -13980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)*w\/w**(-9)*w)\/((w\/(w*w**(-7\/5)*w))\/(w\/w**(3\/8))) assuming w is positive.\nAnswer: w**(-31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3*h + 67, h - 71 + 1 = -5*p. What is the highest common factor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266243?\nAnswer: 443, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 6. Let g be s(11). Suppose 2*w = 5*w - g*t - 132, 2*t = -w + 33. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 135 = 8*d. Solve -j - d = -6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 52. Suppose -2*m + w = -0*m. Solve 11 = 3*a + 4*n, -2*a + n = 3*a - m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 278 - 297 = -5*f, 4*f - 3*x + 76 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1 + 8*w - 5*w**2 + 3*w**2 - w**2 + 2*w**2. Let s be b(7). Suppose 3*q = s + 27. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a = 2*a + 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 131.197 and 0.4?\nAnswer: 52.4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/36))\/(p\/(p*p*p**21)*p*p) assuming p is positive.\nAnswer: p**(757\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 9*u**2 + 9*u**3 + 7*u - 4*u**3 - 4*u**3. What is the units digit of k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20429, 0.5, 3\/788?\nAnswer: 3\/788","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -101*u - 10. Let t(i) = 200*i + 18. Give 11*g(h) + 6*t(h).\nAnswer: 89*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 915905 = 556466. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3. Let l(c) = c + 13. Let s(p) = -3*l(p) - 12*y(p). Let w be s(-2). Let m(a) = a**2 + 2*a**w + 24 - 24. Give m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 2 + -3 + 2. Let u(x) = 3*x**2 + 18*x - 5 - x**3 - 9*x + x**2 - 7*x. Calculate the smallest common multiple of 5 and u(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 2, -1 in increasing order.\nAnswer: -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/5752 and 24\/5033.\nAnswer: 40264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 622 and 26785?\nAnswer: 16660270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15051, 15055, 15059?\n\"Answer: 4*n + 15047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2017*o - 13201 - 404 - 46905 = 0 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*18\/(-54).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(-7)\/((-7)\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 216*r**2 - 126*r + 51. Is d(-91) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, 1 x, and 1 w when four letters picked without replacement from xmhwq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3382051406 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -73. Which is the fourth biggest value? (a) 1\/5 (b) y (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*d - 4 + 11 - 7 to w + f*d and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303033 (base 4) to base 5.\nAnswer: -444232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 438 - 436. Solve -3*c = -5*a + 35, 0 = -d*c + 2*a - a - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 836, 835, 834, 833, 832?\n\"Answer: -m + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 190184579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*m - 1205 = 0, 8*m - 13*m = -2*g + 2419. List the prime factors of g.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -a + 1, -1 = -w. Suppose k = -0*k + a. Suppose 0 = -4*z + 4*h + 800, -k*h = z - 176 - 39. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 726*d**5\/5 - 7642*d**3\/3 + 4125. What is the third derivative of o(k) wrt k?\nAnswer: 17424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 6*y**2 + 5*y + 3. Let j be v(-4). Suppose -j = -4*s + s. List the prime factors of (2 - 0 - s) + 9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtrt when four letters picked without replacement from {r: 2, t: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/110 + 4*a**4\/33 - 13*a**3\/33 + 6*a**2\/11 - 2278*a. Factor z(n).\nAnswer: -2*(n - 6)*(n - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 3*g**3 - 6*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24856128 is divided by 14043.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(336)\/(sqrt(48)\/sqrt(4)) - sqrt(56)\/sqrt(2)*5 - (sqrt(84)\/(sqrt(3) + (sqrt(3) - sqrt(9)\/sqrt(3))) - sqrt(28))*-2)**2*-3.\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - w - 4*w)*(w - w - 2*w) - 37641 - 163*w**2 + 37641 to c*w**2 + t + b*w and give c.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*q + 4. Let o(j) = 12*j. Let s be o(q). What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3337247, 6674459, 10011673, 13348889, 16686107, 20023327, 23360549?\n\"Answer: l**2 + 3337209*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Is 11 a factor of i + 9\/(-3) - -59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3106 (base 15) to base 7.\nAnswer: 42123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -30, -115 in ascending order.\nAnswer: -115, -30, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 2*l to the form g*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25562*r**4 - 47*r**3 + r - 14914595.\nAnswer: -102248*r**3 - 141*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0191 - -0.3809. Put m, -4, -1 in increasing order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*t - 144 + 2200 = 202 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.051 + 16. Let c = -0.251 - l. Does c = 0.026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = -4. Calculate the greatest common divisor of 88 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -158*l**2. Let o(b) = 344770*b**2. Calculate g(o(r)).\nAnswer: -18780883758200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 8 = 3*g + 8, 0 = -4*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-12 - (-18 + 19 - 8))) + 50 + 4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -510334368*p**2 - 315196832 wrt p?\nAnswer: -1020668736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 10*n**2 + 3*n + 11. What is x(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 92295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose 0 = l*a - 2*o + 10, -4*a = 5*o - 3 - 4. What is the units digit of ((-12)\/15)\/(a\/460)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422160?\nAnswer: 2, 3, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8408 is divided by 255?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from jkjcjckjkkjkjjjj.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 9. Let s be n(6). Calculate the common denominator of 33\/2 and 3 + s\/(-36)*298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3213+-1202327509\nAnswer: -1202324296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = 5*n - 33, -5*n = -h - 16. Let g(l) = 2*l - 5. What is g(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 853865*c + 13*c**3 - 426911*c - 426954*c.\nAnswer: 13*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 13*q + 22. Put -3, -7, -1, q in decreasing order.\nAnswer: q, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 31843374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 4*r - 28. Let g be i(-9). What is the second derivative of -7*h - h**5 + 2*h - 4*h - g*h wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 12. Let s be u\/(-3) - (-8)\/(-24). Let d be (-2)\/8*(-4)\/6. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a - 20. Calculate the least common multiple of v(6) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -83.04, -51\/32, -5?\nAnswer: -51\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19276362 >= 19276360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4625?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9098 is divided by 314?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:15 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 46.9. Let h = 6.987 + o. Round h to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(2 - (0 - -1)). List the prime factors of 30 - y - (1 + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 5*r**2 + 0 - 8*r + 5\/6*r**3. What are the prime factors of g(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*t - 5*y + 1098 = -86*t, 5*y = -35. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 321 or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94694.91t to grams.\nAnswer: 94694910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -1, 16742390 in increasing order.\nAnswer: -5, -1, 1, 16742390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**7\/42 + 7*z**4\/24 + 10*z**3\/3 - 9*z**2 - 1. Differentiate b(m) with respect to m.\nAnswer: 20*m**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77376\/(-1612)*((-260)\/(-8))\/13?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*v + 2*g + 3*g, 0 = -v - g + 2. Calculate the least common multiple of 0 + v + -7*(-12 - -3) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:49 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 302771\/12192 + -1\/4064. Calculate the common denominator of ((-108)\/(-44) - 3) + (-20)\/5 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9426837 and 987?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 17*k. Let h(o) = -1092728*o**2. Calculate v(h(l)).\nAnswer: -18576376*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1871 and 1849.8505629?\nAnswer: 3720.8505629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 86?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/((-382)\/(-61884)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-506)\/(-4)*(-924)\/(-5313)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230969484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l + 2*y - 19 = -144*l, 0 = -l - 13*y + 29 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.108 + -48.508. Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 7, -172, 5, 6, 1\/11 in descending order.\nAnswer: 7, 6, 5, 1\/11, -0.4, -1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637193 is divided by 127407.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67077, -67056, -67049, -67062, -67101, -67172, -67281, -67434?\n\"Answer: -q**3 - q**2 + 31*q - 67106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97960.\nAnswer: 2, 5, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421232377.\nAnswer: 109, 31387453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {n: 3, h: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15413 is divided by 15395.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10095 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) + (-65)\/(-9). Suppose -4*m + g + 26 = m, -2*g - w = -m. Suppose -5*l + 45 = m*x, -4*x = -5*l + 5 + 13. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.401297 kilograms?\nAnswer: 7401297000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 5*r = 84*r - 152. Solve -3*m = -3*h - 15, -m - r*h = -5*h - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(20)\/sqrt(2) + sqrt(10) + sqrt(10) + -4*sqrt(20)\/sqrt(2))\/(5*-1*sqrt(605) - sqrt(605)).\nAnswer: -sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 16*z**2 - 64*z + 64. Calculate p(-10).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -20, -2*t + 2*h - 29 + 27 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, 3.\nAnswer: -4, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -1. Let v(j) = 2*j**2 - 6*j - 4. Let h be v(5). Let l = h + b. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -556624, -5, -19 in descending order.\nAnswer: -5, -19, -556624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 8. Let t be 28\/(-20) - (-6)\/15. Let y be (-39 - -10)*1*t. Suppose -5*p + y = -r - 0*p, 4 = p. What is o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-12 + (10 - 13\/(-13)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276811 is divided by 6920.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*((-5 + (sqrt(704)*2 + 5)*-1)*-5*1)**2.\nAnswer: 200000*sqrt(11) + 1822500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + 6*p + 3*p**2)*(-341*p**2 + 20*p**2 + 22*p**2 + (-5 + 3 + 1)*(-p**2 + 0 + 0)) as z*p + k*p**2 + m*p**4 + w*p**3 + f and give m.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1847\/21 - 615\/7. Let k(j) = -j - 5. Let m be k(-6). Is x < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((66\/(-30))\/11)\/((-3)\/345)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -18*i**2 + 3*i + 3. Let v be n(-2). Let g = -45 - v. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/31, 0, -25, -2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-8 - -9 - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 + 124 + 3*k + 129.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 - 5*h**4\/3 + 415*h**3\/6 - 136*h**2. Let g be r(35). What is the highest common divisor of g and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:20 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11749*o**3 + 270*o**2 - 5129228*o - 1?\nAnswer: -70494*o + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3256 (base 9) to base 3.\nAnswer: 10021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 3*t**2 - 16*t + 3. Determine o(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323.8 + -598.7. Round l to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14444)\/(-960526)*(-3)\/(9\/7)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650293553?\nAnswer: 7, 13, 163, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + l. Let o be m(2). Let j be o + 9 + -2 + -1. Let x = 75 - 72. Solve -8 = 5*d + x*k, 5*d = j*d - 2*k + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 + 6*b - 8. Let m(y) = 31*y**2 - 21*y + 34. What is -2*m(g) - 9*v(g)?\nAnswer: 10*g**2 - 12*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3326 + -1992. Is 70 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by (-11 - 760\/(-60)) + (-398)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 121.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 419, 809, 1199?\n\"Answer: 390*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1014, 4\/13, -143 in descending order.\nAnswer: 1014, 4\/13, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 19*j**2 + 66*j + 35. Calculate the remainder when 131 is divided by f(22).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/20 + 7*b**4\/12 - 2*b**3\/3 - b**2 + 2*b - 16. What is z(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + 3 + -2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*d - 86194 = 451*d - 413421. What is the fourth smallest value in -1, 4, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**4 - 1028*f**3 - 4998*f**2 - 2892*f + 8964. Let w(m) = m**4 - 2*m**3 - m**2 + 10*m. Let g(c) = -h(c) + 6*w(c). Factor g(b).\nAnswer: 4*(b - 1)*(b + 3)**2*(b + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1134)\/1323 - (-20)\/(-175)*17?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 7*k**2 - 7*k + 9. Let y be o(6). Suppose 3*w + 1730 = 8*w - y*x, 3*x = -3*w + 1062. Suppose -208 - w = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-19)\/(38\/(-3)))*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1042635, 1042668, 1042723, 1042800, 1042899?\n\"Answer: 11*i**2 + 1042624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 146 - 141 = 5*n, -3*r + 74 = 26*n + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/5 + 11*h**4 + 170*h**3 - 578*h**2 + 29*h + 1. Factor p(y).\nAnswer: 4*(y - 1)*(y + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12238367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1322023 + -2?\nAnswer: -1322030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 d when four letters picked without replacement from {h: 7, d: 3, c: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -3201?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250, 241, 210, 145, 34, -135, -374, -695?\n\"Answer: -2*b**3 + b**2 + 2*b + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101722 + 16199*m**2 - 101722 to b*m + n*m**2 + f and give n.\nAnswer: 16199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 20*b**5 - 4177652*b**4 - 10026484*b**3 + 835492*b**2 + 10026464*b + 3342160 = 0.\nAnswer: -2, -1, -2\/5, 1, 208885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 4*s - 5. Let b be y(-5). Suppose i - 3 - 1 = b. Suppose 3*c = 7*c - i. What is the nearest to -2 in c, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-286)\/91)\/((-72)\/14))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3220*j + 396093. What is h(-123)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -369.84?\nAnswer: 369.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1515 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Suppose -114*i - 1328 = -32*i - 414*i. Solve q - i = m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 410970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 6*r**2 - 6*r - 1. Let a be 174\/638 - (-148)\/22. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -4)\/(-1*-3*(-3)\/9). Suppose 3*x - 7*x = 240. Does 19 divide (-30)\/x*(k - -327)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -6*z**2\/11 + 173850*z\/11 - 35044296\/11 = 0.\nAnswer: 203, 28772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 355811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -5\/8, -4, 6, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 + 12*g + 58 - 250)*(2 - 4 + 4).\nAnswer: 24*g - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0. Suppose -8*q + w = -3*q + 6, 3*w - 3 = 0. Which is the closest to q? (a) h (b) 3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*o - 13 = 0, -o + 0*o = -q + 11. Suppose -5*t + 10 = -q*y + 4*y, 4*t + y = 8. Solve -t*w + 6*w = 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -2\/9 (c) -2\/3 (d) 3\/5 (e) 4\/3 (f) 0.042\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 968066 - 587491. Let m = v + -628575. What is m rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a + 12. Determine g(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.981 - 1.019. What is the second smallest value in 0.03, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 - 6*z - 7. Let d be n(-4). Let m be 3 + 2 + (-82 - 11). Calculate the common denominator of -6 + m\/6 + 1 + d and 47\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwxxxxxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137389?\nAnswer: 7, 19, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 minus 22466733?\nAnswer: -22466646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u + 28*u - 1188. What is the greatest common factor of 342 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, -6681, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, u: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(4 - (-54)\/10). Suppose 2*u + 0*u - 4*m = 32, -m = -2*u + z. Suppose u - 6 = -4*h. What is the second biggest value in 0, h, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2759*t + 27. Let s(g) = -2*g**3 - 21*g**2 + 13*g + 24. Let c be s(-11). Is z(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q - 10. Let i(p) = -8*p - 9. Let a be (-5 - -2)\/((-6)\/8) - -3. Give a*i(v) - 6*x(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85*(-16)\/47600)\/((-3)\/12)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 31. Let a(n) = 2 - 6*n + 3*n + x*n**2 + 2*n + 3*n. Is a(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380 and 80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212302 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 2*r - 123 = 4*r + 338, 2*j + 68 = 8*r - 6*r for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.011 (b) 22 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26777*f - 132 = -26782*f - 21*q, -5*f + q - 22 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 4. Let a(u) = u + 1. Let v(d) = -3*d**2 + 3*d**2 + 3 + d**2 + 3*d. Let h(o) = 3*a(o) - v(o). Give h(z(m)).\nAnswer: -4*m**2 - 16*m - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*b**2\/2 + 25*b\/2 - 2.\nAnswer: -(b - 1)*(21*b - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26593 and 597491.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 - 171.0115. What is s rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(104)*2 - sqrt(104))\/(sqrt(72)*1) - 2*(3*(sqrt(91)\/sqrt(7) + sqrt(13)) + sqrt(325)*3).\nAnswer: -43*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-13 - 36 - (-11 - -42))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1142036 + 335?\nAnswer: 1142373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = g - 469330 + 74358, -2*n + 2*g + 60752 = 0. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197502, -197501, -197500, -197499, -197498?\nAnswer: -197497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o**2\/11 + 12802*o\/11 + 948\/11 = 0. Calculate o.\nAnswer: -237, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/4 + (-4)\/(-16). Suppose 0 = r - 4*p + 15, v*r + 3*p - 30 = -p. Let s be (7 + -2)\/(2 + -1). Solve r*w - s*n = -0 - 35, w = 2*n - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + a**3 - a + 3*a - 4*a + 4 as f*a**3 + z + x*a**2 + b*a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9578.921 years in millennia?\nAnswer: 9.578921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 34. What is the third smallest value in h, 2, -2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by -185*(-8)\/160 - 3\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77272 divided by 77.\nAnswer: 77272\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288873?\nAnswer: 3, 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-1))\/(150\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -142, -110, -78, -46?\n\"Answer: 32*b - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 0*l**2 + 7*l**2 - 271*l + 273*l in the form n*l**2 + g + o*l + a*l**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5\/4 + 15*t**4\/2 + 1335*t**3 - 56995*t**2\/2 + 744345*t\/4 - 338130 = 0 for t.\nAnswer: -39, 3, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 1. Let k be h(9). Let d be (0 - 0) + -8 + 8. Let u be 1 - 0\/(d - 1). What is the greatest common factor of k and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-15)\/(-150))\/((-1)\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -623 divided by -135\nAnswer: 623\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 3220*o**2\/3 + 12856*o\/3 + 12848\/3.\nAnswer: 2*(o + 2)**2*(o + 1606)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d - 2*d = -4*r - 12, 7*r - 6*r = 2 - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 45 + -1 + 26 + (-32 - -5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)**21\/(o\/(o\/o**(-2\/5)))**18)\/((o\/(o\/(o**2\/o)))**3)**9 assuming o is positive.\nAnswer: o**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (630*l**3 - 1480*l**2 + 1480*l**2)*(-2*l**2 - 2*l**2 - l**2).\nAnswer: -3150*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8580)\/(-612) + -14)*-3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 8*p. Which is the nearest to 10? (a) 2 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*k = -4*u + 2, -2*k = 4*u - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 21 - 119 + 88*x + 29*x + 61*x - 40*x**2 = 0.\nAnswer: 1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9259*z + 8668 = 9062*z. Let s = 0.5 - 4.5. What is the closest to z in 4, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0 - 4) + 246. Suppose w = 3*m + f, 357 = 4*m + f + 29. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.7. Let r = -464819.94 + 464820. What is the third biggest value in r, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -5 + 0 + 57. Calculate the highest common factor of 468 and b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 34. Let u = r - -7. Suppose 9 = 3*c - u*i + 3*i, 0 = 2*c - 5*i. Calculate the greatest common factor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 16*r**2 + 15*r + 20. Let n be j(-15). Let k = n - 22. Put -1, k, 1 in decreasing order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*b - 128*b + b**2 - 129*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n + 2*n**2 + (3*n + 6 - 6)*(6*n - 3*n + 0*n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/48 and 137\/306.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*m - 249 + 533 - 282 + (0 - 2 + 3)*(0 + m + 0)*(-4 + 1 + 2).\nAnswer: -73*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o - 91 + 52 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36984, 77502, 118044, 158616, 199224?\nAnswer: 239874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39781497 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1\/5, 0.0189?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (47 + 3)\/(-6 + 920\/150) is divided by 79.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 - 4*i + 2. Let t be j(3). Sort 5, -5, t.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 78. Let j = 117 + -583\/5. Which is the closest to p? (a) 3 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287461 and 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*((c + 0*c + c)*(2 - 1 + 0) + c + 1 - 1 - c - c + 3*c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 29 = 2*s, m - 679*s = -674*s + 8. Let i(t) be the second derivative of 11\/3*t**4 + 0 + 0*t**2 - m*t - 4\/3*t**3. Factor i(j).\nAnswer: 4*j*(11*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 3*f = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 391 (base 15) to base 5\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 371*q**3*w**2 - 101*q**3 - w**2 - 28992*w - 2 wrt q.\nAnswer: 1113*q**2*w**2 - 303*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/((1\/3)\/((-136)\/408)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111101010 (base 2) in base 5?\nAnswer: -22024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441988 and 832.\nAnswer: 91933504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73.7 + 80. Let v = -0.015 + -2.285. Let g = v + x. Which is the closest to 1? (a) 3 (b) 1\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7*2)\/(-2) + 37 + -33. Let g(a) = 0*a + 2*a - 4*a - 2 - a**2. Let l(z) = 2*z + 1. Determine b*l(r) - 2*g(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30)\/(-348 + 366 + 110\/(-6))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-46))\/((-15)\/(-10)*(-5)\/33).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + 4 + 267*t**3 - 2*t - 354*t**3 + 91*t**3 to f*t + d*t**2 + n + c*t**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 20*x**2 - 21*x + 20. Let l be f(-21). Solve 0*z - 4*c + l = -2*z, 5*c = 3*z + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.7, 2, -1?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40216544+13\nAnswer: -40216531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 13 = 6*z. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhwgwhgwwwwwhhwwhhh. What is prob of sequence hw?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 3*r + 1. Let v(k) = 13*k**2 - 40*k + 51. Let j(l) = -30*m(l) - 5*v(l). Factor j(i).\nAnswer: -5*(i - 57)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5277 - 1168.7.\nAnswer: -6445.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmmpmmppmppppmmppp. What is prob of sequence pmm?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-546)*35\/15?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:56 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/73640024 and 21\/944?\nAnswer: 147280048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/(6\/240). Solve 5*x - 9 = 5*i - 2*i, 0 = 2*x + 5*i - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.502 - -0.262. Let l = -2.3 + 1.54. Let v = k + l. What is the second biggest value in 2\/15, 2, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2)\/(-4)*-4. Let l be (-4 - -4)\/(2\/(-2)). Let h be l - ((-8)\/j - -2). Let i(y) = -y**3 + 2*y**2 + 2*y - 1. What is i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 8*r - 7. What is the lowest common multiple of 16 and w(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.2492 times 4\nAnswer: 72.9968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4535600 to the nearest 10000.\nAnswer: -4540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/5)\/o))**(1\/50)\/(o*o**0)**(-40) assuming o is positive.\nAnswer: o**(5006\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*x - 1 = 6, -3*d = -x - 8. Let n be 183\/((-3)\/(-3)) + d. What is the units digit of n\/16 + (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -d, -4*v = d + 2*d - 3. Let y = d + 23\/7. Which is the third smallest value? (a) -2 (b) y (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293 - -3807\/13. What is the third smallest value in v, -0.4, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 13*q = 59, -8 - 20 = -f + 5*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9159360 and 21056.\nAnswer: 9159360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1124463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = j + 5, 3*j + 19767443 = 5*i + 19767492 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + -10?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:02 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.36 - -2.5. Let y = -0.25 + n. Let g = y + 0.109966. Round g to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = 34*t + 141 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*y + 25*y - 3*b - 22, -b + 2 = -y. Sort y, 294, -3, -2\/13 in decreasing order.\nAnswer: 294, -2\/13, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2. Suppose -3 + 9 = -6*u. Let q(s) = 2. What is u*q(t) + j(t)?\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4598010 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8186 + 1.818620326. Round h to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168929872 is divided by 4265.\nAnswer: 4262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 20979 = 96*m. Is 256 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**2 + 22*u + 1033. Give j(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103592520377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 16. Let o be (29\/(-13) - d)\/(12\/(-8)). Let r = 18 - 13. What is the closest to r in 3\/2, o, 1\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2467521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-2) - (-13 + 10). Suppose 2*h - d*x = -5, 2*x - 5 + 0 = h. Suppose -h*r + 12 = -108. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 3, 29, 75, 147, 251, 393?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/(((y*y*(y*y\/(y\/y**(1\/3)*y*y))\/y*y*y)\/y)\/y*y))\/(y**(-3))**(-2))**27 assuming y is positive.\nAnswer: y**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - (-2*sqrt(304) + -4)) + (sqrt(304)*-1 + sqrt(304))*6)*5)**2.\nAnswer: 2400*sqrt(19) + 68800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(6\/4)*3. Let v(t) = 54*t - 1284. Let r be v(24). Solve -4*b + q*g + 6 = 0, 3*g + r - 3 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43650 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: Evaluate -2 - (48 + -26) - -49.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/5732827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423551*g**3 + 423549*g**3 - 17*g + 17*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.05443, 2\/27 in increasing order.\nAnswer: 0.05443, 2\/27, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*l - t - t, -70 = -2*l + t - 56 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g - 41*g + 85*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944057813 to the nearest integer?\nAnswer: 30726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)*w*w**(-2\/49)\/w)\/(w**(-4\/3)*w*w*w**(-10)\/w*w) assuming w is positive.\nAnswer: w**(5611\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 5. Let l be f(0). Suppose -l*v - 1 = -41. What is the greatest common factor of v and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*x - 509*x = 2560 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3)\/t))**(-15))**(-37)\/((t*t**(-6))\/(t*t**(-3\/10)))**(-29) assuming t is positive.\nAnswer: t**(26097\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -71*h**2 + 23*h + 25. Let r(y) = 24*y**2 - 8*y - 9. Give -6*g(w) - 17*r(w).\nAnswer: 18*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 155921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42787499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -36*i**3 + 1189*i**2 + 33*i - 2186. Calculate b(33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 4*w - 1. Suppose 8 = -2*n + 3*n. Let x = n - 4. Let u be 1\/4 - 13\/x. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -3.1 (c) 0.4 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -g - g. Let s(y) = y + 10. Let r be s(g). Solve 19 = -4*b - r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b**2 + 160*b**2 + 397*b**2 + 0*b + 105*b**2 - 2*b to z + s*b**2 + i*b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40909069, -81818136, -122727203?\n\"Answer: -40909067*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 400 (base 11) to base 9\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217*n + 25500 + 601*n - 25500.\nAnswer: 1818*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17303\/276 - -65\/69. Let r = -62 - h. What is the closest to -1 in 2, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36444049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362340 by 1980.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 57 = 7. Let j be g\/3*(-27)\/6. Calculate the greatest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483111594 is divided by 549615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgj when four letters picked without replacement from {g: 8, j: 5}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 51 = -2*q + 2*h, h + 12 = q. What is the remainder when 23 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 14*z - 24. Let g be k(12). Suppose 3*t - 7*t + 1412 = g. What are the prime factors of t?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 9*w - w**3 - 6*w**2)*(-5*w + 11*w + 5*w).\nAnswer: -11*w**4 - 66*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 (base 12) in base 14?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1700*t - 14094526685 + 14094526685.\nAnswer: 1700*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 122 - 6*o**3 + o - 244 + 120 in the form i*o**3 + p + s*o + g*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-305)\/183*(-4)\/15?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, 0.3, 2\/3, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkk. Give prob of sequence kk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6377, -6072, -5765, -5456, -5145?\n\"Answer: m**2 + 302*m - 6680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/19201 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 22.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 2.2. What is the nearest to w in -1\/2, 4\/7, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2133 and 10.82?\nAnswer: 2143.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 10 = 6. Solve 0 = 3*i - 2*i - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 + (-63)\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5*a)**(-34))**(-37)\/(a**(2\/5)*a**(2\/9))**48 assuming a is positive.\nAnswer: a**(131642\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.1. Let w(o) = 5*o - 2. Let b be w(2). Let k be (b\/12)\/(4\/(-6)). What is the second smallest value in l, k, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Let r(j) = -j**3 - 3*j**2 + 4*j + 2. Let t be r(-4). Let d(y) be the first derivative of -5 + 2 - y**t - 1 + 3*y**2. What is d(l(g))?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1001000?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b + 7. Let w(x) = -x + 2. Let r be w(6). Let i(q) = 10*q - 6. Let p(f) = r*i(f) - 3*j(f). What is the tens digit of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -12\/2978477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-270*l - 316*l + 95*l)*(15*l - 15*l - 8*l**2)*(-l + 4 - 4) to y*l + f*l**4 + g*l**3 + b*l**2 + n and give f.\nAnswer: -3928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 353.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.201 and -2.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide ((-238252)\/(-335))\/((-4)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299227 is divided by 202?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -32342253?\nAnswer: -32342251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 655683381 a multiple of 6700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1105344 (base 7) to base 15\nAnswer: -2a600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000678 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2391613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -64.9 - 0.0055487\nAnswer: -64.9055487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.32 + 21. Let k = u - 0.68. Put k, 2.4, -0.3 in decreasing order.\nAnswer: 2.4, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**7\/504 - m**4\/8 + 3*m**2. Let x(p) be the second derivative of h(p). Let o(a) = 555 - 555 - a**2. Give x(o(c)).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (-38 - -61)) + (2 - 64) + (-5 - -7).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 118500?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -30*u**3 - 3*u + 22*u**3 + 36 - 24 - 14. Let s be (4\/(-6) - 0)*3. Is 24 a factor of o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:14 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 265280 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-50))\/(88\/(-10) - -9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2 + 4*x - 6 + x - 3*x. Let y be l(3). Solve 0 = -4*v - z + 16, -y*z + 3 = 2*v + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20641 (base 11) to base 7\nAnswer: -153422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-10)*p*p*p*p*p**(2\/15)*p)\/((p*p**(-12)\/p)\/p*p**(-5\/4)))**(4\/33) assuming p is positive.\nAnswer: p**(563\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 34 + 904 = 0. Suppose -y = -8*i + 735. Calculate the least common multiple of 55 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0 + 0)*(-4*n**2 + 2*n**2 + 0*n**2) + (-n**2 + 0*n + 0*n)*(-2*n + 5*n + 2*n) + (-1 - 2 + 2)*(0*n**2 + 0*n**2 - 2*n**3) + 4 - 4 - 7*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-105)\/(-22) - 2\/1 and 33\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 9.92. Let f = -0.32 - v. What is the second biggest value in -3, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915 = 5*d - 5725. Let y(v) = -2*v + 29. Let j be y(-5). List the prime factors of (-2)\/(-6) + d\/j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-45)*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let a = 6 - 3. Let q(t) = 3 - a - 5*t**2 + 2*t - 4*t**2 - 1. Calculate q(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*g**2 + 103*b - 336*g**2 wrt g?\nAnswer: -2*b*g - 672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 39*p**2 - p + 2. What is d(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*g**2*y + 13*c*g**2 - 36*c*g - c*y**2 + 2*c*y + 5858*g**2*y**2 + 2143*y - 1 wrt g.\nAnswer: -4*c*y + 26*c + 11716*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = -12. Suppose -2 = -z*n - 0. Let t(v) = 20*v + 1. Let a be t(n). What is the greatest common factor of 42 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/21 (b) -1\/4 (c) 5 (d) 603 (e) -3\/7 (f) 3\/2 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6722 bigger than -6747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 4*j - 5. Determine i(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/1428)\/((-26)\/(-1872))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 11 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 242.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 696 divided by -3\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)\/(3*sqrt(12)))\/(4*sqrt(1152)).\nAnswer: -sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2 + 1 + 229. Suppose 2*n - w = -2*n. What is the remainder when n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let y = -2 - -5. Suppose 0 - 3 = -y*h. Suppose -578*b + 747 = -462*b + 167. Let g(s) = s. Determine b*g(n) + h*m(n).\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-1400)\/77)\/(-10). Which is greater: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by -180.\nAnswer: -49\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-4*u + 0*u + 3*u) + 2 + 8*u - 2 + (-2 + 0 + 1)*(0 - 2*u + 0) + 4*u - u - 4*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-6)\/2 + 3). Suppose 0*q + 4*q - 160 = u. Differentiate 48 - 96 + 5*t**4 + q wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3513028, -3513027, -3513026, -3513025, -3513024?\nAnswer: -3513023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*j**2 + 1184*f**2*j*l + 116*f*j**3*l + f*j**2 + j**3 + 2712 wrt l?\nAnswer: 1184*f**2*j + 116*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*1*6*(sqrt(7623) - (sqrt(7623) + 4 + sqrt(7623) + -1) - (sqrt(7623) - (sqrt(7623) + -5 + 0 + sqrt(7623)))))**2.\nAnswer: 147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 2 + (1 - 5 + 2)*(1 + 3 + 2))*(36*t - 8610 + 8610) as k + i*t and give i.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11817 and -73\/27.\nAnswer: 35451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 5. Let i(y) = -4*y**3 + y. Let u be 1*(-2 + 1)*-1. Let x be i(u). Let k = -7 - x. Give c(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 14*x**2 - 10*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus -34?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and 0.01903171?\nAnswer: -1.19899773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32\/15*(920\/(-96))\/23\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9009*a = -7163*a - 727740 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266 or -270?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 11 - 18 - i. Let d be m(5). Let q = 1.4 - 1. Which is the nearest to 0? (a) q (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64 - 2)*(-6)\/9. Let h = u + -14. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*d**2 + 142*d**2 - 200*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 50\/3731?\nAnswer: 50\/3731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67664, 134733, 201210, 267095, 332388, 397089?\nAnswer: 461198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 less than 398155?\nAnswer: 398152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1225, -4982, -11245, -20014?\n\"Answer: -1253*d**2 + 2*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 times 6293\nAnswer: -220.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -2\/5, 0.02, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 32*j + 205. Let k(n) = 17*n + 102. Determine -3*d(g) + 7*k(g).\nAnswer: 23*g + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*m - 23 = -10, m = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s. Suppose -158*w + 163*w = 0. Let t(m) be the second derivative of 2*m + w + 0*m**2 - 1\/6*m**3. Give t(x(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*t + 1. Let d(y) = 2*y + 16. Let q(b) = -1. Let i(z) = -d(z) - 12*q(z). Let j be i(-2). Are j and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/11, 0.05 in decreasing order.\nAnswer: 0.05, -2\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*a = 6*x - 11, 5 = -5*a. Let j be (-3)\/9 - 1\/(-3). Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -5 (b) 2\/9 (c) 0.0646\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -47. Which is the closest to -0.06? (a) g (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 135. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) 3 (d) 31.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/438801 - -3709807\/12286428. Find the common denominator of 117\/28 and w.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:39 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Suppose -2*p - 102 = -94. Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 90, 140, 190?\n\"Answer: 50*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awaa when four letters picked without replacement from {n: 2, w: 1, y: 2, a: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 4*b - 133, 1101*t = 1097*t - 3*b + 116 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 65*s**2 + 80. Is 14 a factor of o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 134. Let r be (-90)\/(5755\/960 - a). What is r rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1597*z**3 + 37*z**2 - 26*z wrt z.\nAnswer: 9582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1681577, -3363162, -5044751, -6726344, -8407941, -10089542?\n\"Answer: -2*s**2 - 1681579*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 + 4 = 0. Let w(x) = -x**3 - 4*x**2 - 2*x - 1. What are the prime factors of w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let x(v) = 5975*v. What is x(c(l))?\nAnswer: 11950*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -4*i + 2*i - 36, 0 = -4*i + 3*t + 7566 - 7563 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 101*s**2 - 311*s + 87. Calculate u(104).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159.29 + -158.89. Sort -72, a, 26 in descending order.\nAnswer: 26, a, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Let s = 6.5 - 6. Let t = s - 0. Sort -0.1, q, t in descending order.\nAnswer: q, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 59*o**2 - 3682*o + 19765. Calculate s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1134 and 546.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6152, -14072, -23762, -35222, -48452?\nAnswer: -63452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135 * -0.206.\nAnswer: 27.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1218 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -506 - -699. What are the prime factors of u?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 32. Suppose 13*d - m*d = -18. Let s be (-33)\/d + 3\/3. Are s and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/10 + 76*x**3\/5 + 683. Factor s(u).\nAnswer: -2*u**2*(u - 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - -0.2. Let m = 7 - 7.1. What is the smallest value in m, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:45 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 23 = -33. Suppose 3*c = p + 72, -2*c - 48 = -4*c - u*p. Let z be (c\/(-10))\/(6\/(-15)). Solve -8 = 2*f - z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 284364, 1, -14, 4 in ascending order.\nAnswer: -14, 1, 4, 284364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Solve 2*s = -3*t - t + 8, 5*s = -4*t - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, e: 10}. Give prob of sequence eee.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*c - 71*c. Solve c = -3*y + 2*o - 6*o - 14, -y + 6 = -4*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5144 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**3 - 2*j**3 + 2*j**3)*(2*j - 3*j - 4*j) + j**3 - j**3 + 2*j**4 in the form o*j**4 + f*j + x + b*j**2 + t*j**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s - 26. Let a(o) = 25*o - 2. Let i be a(2). Suppose 23*v = 20*v - i. What is the hundreds digit of n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-56)\/24)\/((-1)\/3). Let j = o + 7. Suppose -i - j = -36. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141946 divided by -26.\nAnswer: 43921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13 + 4\/13*i**3 + 4\/13*i**4 + 14\/13*i - 16\/13*i**2 - 2\/13*i**5.\nAnswer: -2*(i - 1)**4*(i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -299, -290, -281, -272?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0 + 1\/60*o**5 - 2*o**2 - 1\/4*o**4 + o**3 + 0*o. Calculate the remainder when 63 is divided by z(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1)*1)**2*4.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43481*o*w**2 - 53057*w**2 wrt o?\nAnswer: -43481*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76)\/sqrt(4) + 0 + 1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:30 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:54 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.986382 plus 0.194?\nAnswer: 57.180382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/30 + 11*d**2. Let r(a) = -2*a**2. Give l(r(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*s**2 + 101203*f*s + 268*f - 243668847*s**2 wrt f.\nAnswer: -2*s**2 + 101203*s + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-4 - 103) - (-20 - -23)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 29.\nAnswer: -19\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18 + 0 - 0\/(-11). Let t = k + 3. What are the prime factors of 6\/t + (-17)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 23*x**2 + 0 + 15.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71968\/(-3588) - -20)*-46.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/8 in -35, -4, 0, 1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - n + 779 = 45, 988 = 4*s - n. Does 41 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976797 is divided by 325586.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-21) + 8)*(-578)\/(-68)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.2 + 14. Which is the closest to -0.1? (a) -1 (b) -2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 3. Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 22*n + 26. Let y be w(-21). Suppose -3*m + 3*o + 30 = 0, -m = -3*o - y - 1. What is the remainder when 18 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2\/11 + 287412*a\/11 - 3735342\/11.\nAnswer: -6*(a - 47889)*(a - 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**7\/6300 - u**6\/900 + u**4\/45 - 5*u**3\/6 - u**2. Let q(t) be the first derivative of z(t). Factor q(a).\nAnswer: -2*(a - 1)*(a + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 711982 + 390269 = 2069127. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 88 = 243*w + 63 + 154 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2659*k**5 + 6*k - 268 wrt k.\nAnswer: -53180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + 2*k)*(378 - 378 + 21*k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, f: 4, t: 1, q: 7}. What is prob of picking 2 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + v**5 + 3*v + 7*v**5 - 3*v + (0*v + 5*v - 4*v)*(v - v + v**4) + 2*v**5 - 2*v**5 - v**5.\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2\/79 (c) -0.2 (d) 3 (e) 4 (f) 10 (g) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 14. Let j be b(-15). Suppose 0*m = -m - 5*l + 3, 5*m - 15 = 3*l. Let c be 0\/(j\/(-2 + m)). Let o(h) = -h**3 - h**2 + h - 11. Determine o(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/887346 and -11\/1725395?\nAnswer: 31057110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 358*j**2 + 54*j - 346*j**2 + 13 + 40*j + 47*j. Determine k(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 10*m**2 + 3*m - 6. Let h(b) = -4*b**3 + 9*b**2 + 3*b - 5. Let u(c) = 6*h(c) - 5*q(c). Factor u(r).\nAnswer: r*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8124 is divided by 581?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(80)*-5 + (-4 + -6*(sqrt(5) + 2))**2.\nAnswer: 436 + 232*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 2:34 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-26)))\/h)\/(h**21\/h)*(h*h**(1\/6))**(-8\/7) assuming h is positive.\nAnswer: h**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 40 = -142. Put -4, q, -3\/4 in descending order.\nAnswer: q, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/6 - 7*b**2\/2 + b. Let y be d(8). Solve -q = -0 + y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 4. Let t be r(-4). Suppose 5 = -p - 2*c - 5, 5*p + t = -4*c. Suppose -4*u - 16 = 2*q, 3*u + 5*q + 25 + 1 = p. Sort u, 5, 4.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -11*a + 49. Suppose -5*t + a = y, y = -0*y - 4. What is the smallest common multiple of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3559, -14434, -32623, -58126?\n\"Answer: -3657*q**2 + 96*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -1, 3\/2, 42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1827 and 2507290758?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*g**3 + 213*g**3 - g**2 - 17*g**4 - g - 2550 + 2543 as w + a*g + s*g**3 + c*g**4 + x*g**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 19*n**2 - 38*n - 20. Does 34 divide j(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(sqrt(2592) + -1))**2 + (-3 + -1 + sqrt(2592))**2 + 1 + 4)*-4.\nAnswer: -103780 + 3744*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2731071, 5462304, 8193537?\nAnswer: 10924770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29352232 divided by 182312.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.095, -0.18, 2\/3, -4 in ascending order.\nAnswer: -4, -0.18, -0.095, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*s - 1 - 8 + 12)*(4 - 3 + 0 + 1 + 1 + 2 + (2 - 4 + 3)*(-4 + 4 - 1) + 3 - 2 - 3)*(4 + 2 - 3)*(-2 - 2 + 3) to the form v + g*s and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -775*y**4 - y**2 + 20*y - 52 wrt y.\nAnswer: -18600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -40*w - 11. Let c(b) = 29*b + 8. Let v(i) = 11*c(i) + 8*x(i). Let s(n) = -15*n**2 - 22*n**2 + 11*n**2. What is s(v(f))?\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Suppose 3*q = -a*l - 18, 0*l = -3*l - 12. What is the common denominator of 12 and q\/7 - 183\/168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21704 - -1107002\/51. Let l = k + 12566\/255. Factor 48*c**2 + l + 4\/5*c**4 + 448\/5*c + 52\/5*c**3.\nAnswer: 4*(c + 1)*(c + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*u + 38*u + 557 = -763 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 870740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -766 + 5382\/7. Let y(h) = 11*h + 31. Let m be y(-2). Suppose -33*z = -30*z - m. Is z not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h + 49*h + 8 = -4*b, 310*b + 15*h = 313*b - 57 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12\/11, -3\/4, 3, 0.3, 0.008, 1\/8, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 22 - 3 = -21*u - 1925 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 3500.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*d - 2*d + 0*d)*(4*d**2 - 2*d**3 - 4*d**2) - 6*d**4 + 2*d**4 + d**4)*(-1 - 2 + 4) to k*d + g + y*d**3 + q*d**2 + a*d**4 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/5 and 44\/21965.\nAnswer: 21965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -15. Let a(x) = 5*x + 25. Let j(o) = 18 - o + 30 + 9 - 63. Give p*a(k) + 25*j(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let h(y) = -2*y**2 + 13*y + 71. Let d be h(10). What is the nearest to -0.1 in 4, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = -0*n + 4*n. Find the common denominator of -38\/9 and (-22)\/(-7)*n\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25855\/16 + -1614. Calculate the common denominator of -97\/8 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/8765627?\nAnswer: -2\/8765627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7902861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j + 1. Let n be i(-5). Suppose 4*u = 4*l + n, -u - 2*u + 79 = -5*l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000044099 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(13) + 0)*4 + sqrt(13) - (-1*sqrt(1053) + -5)).\nAnswer: -42*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -60. Let i = -0.05 - -0.45. Which is the second biggest value? (a) 2\/11 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1454248855\/1982 + 733728. Calculate the common denominator of k and -121\/18.\nAnswer: 17838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110896.\nAnswer: 2, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/22096809 and -48\/31917613?\nAnswer: 287258517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.14 + -0.14. Let n = -113 + 111. Sort i, -24, n.\nAnswer: -24, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/4 - j**3 - 5*j**2\/2 + 4*j + 8. Let k be a(-4). Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -74.8. Let b = 4.8 + o. Let v = 49.999895 + b. Round v to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101253756 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*b + 6 - 3, -s - b = 2. Calculate the remainder when 4 - (1 + (-2)\/8)*4 is divided by 1\/s*(-2 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13074 is divided by 598?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Suppose q*w = -3 - 5. Is (95 - 1)*(-1)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/29, -27, -1\/3, -0.5 in descending order.\nAnswer: 4\/29, -1\/3, -0.5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13113 + -2722. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (1 + 1 + -1151)\/((-26)\/4 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22191 + -9441. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -32. Let k be (t + 14\/(-8))\/((-4)\/16). Let x be 4 + 7\/21*k\/1. Put -1, 3, x in ascending order.\nAnswer: -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -3*w**4\/2 - 11*w**2\/2 - 8. Find the second derivative of j(a) wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5043 + 5043.0000008451. Round h to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + 34\/10. Let i be (w\/(-10))\/((-2)\/(-4)). Which is the second biggest value? (a) 2\/13 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r + 4068 - 3690 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1470436419 and -39.\nAnswer: -36.8529563581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65061 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165.925 + -163. Let o = -0.075 - r. Let m = 54 - 701\/13. Is m bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 60*t**2 - 146*t + 595. Give o(32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, j: 3, i: 1}. What is prob of picking 1 j and 3 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.87 + 1.97. Let v = 0 - -1. Suppose 6 - 12 = -s. What is the second smallest value in b, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485058.\nAnswer: 2, 3, 7, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 248921.856 seconds?\nAnswer: 2.88104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwn when three letters picked without replacement from kznwnnswksinin.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 0.0315, -25597?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 439\/2496 - -23\/39. Let s = -548\/211 + 1641\/1688. Find the common denominator of s and j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + (10 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(330)*-1 + sqrt(330))*6)\/sqrt(10))\/(sqrt(539)*-2 + sqrt(539) + sqrt(11)*-1*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 + 160*i**3 + 1256*i**2 + 2784*i + 1692 = 0.\nAnswer: -3, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 49 = w - 38, 2*b = -5*w + 44. Let y = b + -12. Solve 3*v = -17 + y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 2*a**2 + 3\/8*a**4 + 0*a - 5\/3*a**3 + 0 - 499\/60*a**5. Let s be x(-10). What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29398, 30548, 31698, 32848, 33998?\n\"Answer: 1150*g + 28248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7458460 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.37 + 12.87. What is the closest to 1 in 5\/7, -1\/3, l, -0.3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 266645239 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44.717 in 3, -1\/2, 2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 679, 1022, 1369, 1720, 2075?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from rrwwrrwwwwwwr?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11)\/(-2)*2 + -1 is divided by ((-3)\/2)\/(1\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 + a + 2. Let w be l(5). Let m = 0 - w. Calculate the remainder when 15 is divided by (-2)\/m + 216\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 2. Let o be y(1). Let u be ((-832)\/24)\/(-4) - 8. What is the closest to 7 in o, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (4 + -6)) + 3 + -5 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 12. Let i(s) = -7*s**2 - 6*s - 7. Let z(t) = -t**2 + t + 1. Let b(f) = -i(f) - 6*z(f). Is b(d) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.06238\nAnswer: 0.018714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*i + 11. Let t(d) = -d - 15 - d + i. Let h be t(-2). Solve h*s - 8 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*w. Let a(s) = -s - 6 - 2*s**2 + s**2 + 1 + 0*s**w. Calculate a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 4*p - 5. Let q(n) = n**2 - 11. Let j(k) = k + 1. Let t(h) = 5*j(h) + q(h). Let w(u) = -4*t(u) + 5*v(u). Is w(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22768 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.012 + 0.667. Let v = 0.69 - l. Let w = -0.76 + v. Round w to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**2 - 466*q + 3901. Give l(48).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-26) - (-12)\/(-78). Suppose -4*j + w - 3 + 13 = g, 2*j + 4*w - 14 = 0. Suppose 23 = j*o + 8. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -279 + 241. Let x be (-242)\/5 - (-4)\/10. Let z = i - x. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10220 (base 6) to base 4\nAnswer: 111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 8. Let k be n(-8). Let b = k + 3. Suppose -4*r + 5*x + 3 + 80 = 0, 3*x - 42 = -b*r. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1 = d + 9, 15 = 5*n. Suppose 0*u + d*u = -58. Let q = u - -375\/13. Which is smaller: -0.2 or q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b*b**(-2\/5)))*b)\/b*b)\/(b**(-1\/5)\/b))\/((b\/b**(-2\/3))\/(b*(b*b**(-11))\/b)) assuming b is positive.\nAnswer: b**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from pppkkppkpkpppppppkp?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 509468801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6015?\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170 + 275. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*v + 25727, 0 = -3*v - 2*f - 0*f + 15433. What are the prime factors of v?\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -706961 divided by 69?\nAnswer: -706961\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18966.45954 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 2 + sqrt(343) + 2)**2.\nAnswer: 112*sqrt(7) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -0.3, 0.5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 84*y - 1329. What is the smallest common multiple of 24 and u(16)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 419*s = -420*s - 31, 17*s = 5*f - 590 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/42308 and 12\/34753.\nAnswer: 973084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 7*z**3\/6 + 4667*z**2\/2 + 42*z. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*-3.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 24. Suppose 2*i - 4*i + 26 = q. Find the third derivative of 9*n**6 - 3*n + i*n**2 + 3*n - n**2 wrt n.\nAnswer: 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/360 - 12*f**3 - f**2 + 47*f. Let j(i) be the first derivative of k(i). Let q(l) = -45*l. Give j(q(m)).\nAnswer: 2025*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2 - 3 + 5 - 1 + (3 - 2 - 2)*(-3 + 2 + 0))*((-9*b - 2*b + b)*(-2 + 2 - b) + (-6*b + 2*b + 2*b)*(1 - 1 - b) - 1 + 1 + b**2).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66\/79 - -2135\/948. Find the common denominator of w and 10\/(-24)*(19 + 25).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348544 is divided by 1989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-1 - 5)) + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-15)*-3*1. Let s = -45 - -43.7. Let d = s - -1.1. What is the third smallest value in 0.4, z, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.665350065 to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*c**2*r**5 + 72*c**2 - 86*c*r**5 - r**2 + 2*r wrt r?\nAnswer: -1740*c**2*r**2 - 5160*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13827 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 41*v + 2. Let j be t(-2). Let g(c) = c**2 - 5*c - 2. Calculate the smallest common multiple of g(6) and (128\/j)\/(4\/(-50)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -934226*n**3 + 88*n - 521311001 wrt n?\nAnswer: -2802678*n**2 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f + 12. Let h(o) = -o**3 - 7*o**2 - 5*o + 8. Let w be h(f). Factor 4 - 3*g + 36*g**w + 2*g**4 - 42*g**2 + 2*g**3 + g.\nAnswer: 2*(g - 1)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*((-5065)\/180 - 4928\/(-176))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1557 in -2\/7, 2\/9, 4\/93?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100202 (base 3) to base 2.\nAnswer: 1111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -36*j**2 + 16*j. Let n = 139 - 155. Let r(a) = -7*a**2 + 3*a. Let k(h) = n*r(h) + 3*l(h). Let o(v) = 2*v**2 - 5*v**2 + 6*v**2. Determine k(o(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 649953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Let q be 5*(2 - -1)\/o. Suppose 3 = -5*m - 4*n + 27, 2*m = 3*n + q. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63626 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -873 - 34*b + 873 in the form z + d*b and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 459 and 1306008?\nAnswer: 3918024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 38238, 0, 52 in descending order.\nAnswer: 38238, 52, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, n: 1, s: 2, x: 1, f: 1}. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3022344 + 224?\nAnswer: -3022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 5220214?\nAnswer: 5220242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 42 - 40\/(-14)) + 214\/224?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3344363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*p - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -u, -3*w + 8 = 2*u - 13. Let j = w - 17. Let a = 16 + j. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*k - 2*d + 14 = 519*k, 5*k = 3*d - 21 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 698 + -721 + (61 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500091766 to the nearest integer?\nAnswer: 22363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3 + (-13)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-14))\/3*15\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1121, -1\/4 in ascending order.\nAnswer: -1121, -1\/4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 20. Let i = 11 - f. Sort i, -5, 3.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.043 + 0.173. What is the third smallest value in 1, l, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21121220 + -1?\nAnswer: 21121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -44.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 58. Put -1, 13, w in increasing order.\nAnswer: w, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 712*v + 8547. Let t be q(-12). Which is bigger: t or -0.73?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685179 divided by -297?\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-6))\/((-2)\/12). Let h be 6*(-2 + o\/6). Sort -5, 1, h in descending order.\nAnswer: h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/3 + 19*p**3\/3 + 7366*p**2\/3 + 36404*p\/3 + 14504 = 0?\nAnswer: -74, -3, -2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -202, -237, -272, -307, -342?\n\"Answer: -35*k - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -113\/1161 (b) -3 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -137600000 to the nearest 1000000.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/5 (b) -3 (c) -2403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23565915?\nAnswer: 3, 5, 23, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12937*y**4 + 3*y**2 + 33*y + 4?\nAnswer: 310488*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2571, 13601, 31969, 57675, 90719, 131101?\n\"Answer: 3669*b**2 + 23*b - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56b + -2?\nAnswer: -56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -263392, -263586, -263780, -263974, -264168, -264362?\n\"Answer: -194*t - 263198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1137, -1055, -813, -333, 463?\n\"Answer: 13*i**3 + 2*i**2 - 15*i - 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) - (-48)\/5. Suppose -3*h - k = -6*k - w, -5*h = 4*k + 8. Suppose h*p + 37*p**2 + 2*p - 39*p**2 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193235 + -111626. Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31532040 and 15?\nAnswer: 31532040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-1)\/(-3)). Suppose 4 = 5*p - k. Let w(r) = r**3 - r**2 - 5*r + 4. Let i be w(3). What is the highest common factor of p and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 13 - 3)*(-1 + 4 - 2)*(-k + 0 + 0).\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*r**5 - 318*r**2 wrt r?\nAnswer: 8580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2668 divided by -58\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(72))\/(4*sqrt(2)*2).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40180691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040143641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2)\/15 + 462\/(-70). Let o(u) = 2 + 3 + 2*u + 0*u + 0. Give o(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (-5 + -1 + sqrt(2))*-3)**2.\nAnswer: -96*sqrt(2) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276411 and 3781?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z**5\/4 + 314747*z**4\/2 + 284709*z**3\/2 - 801813*z**2 + 2188169*z\/4 - 89925\/2 = 0.\nAnswer: -29975, -3, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -28*q**5 + 76*q**4 + 75*q**3 - 315*q**2 + 128*q + 64. Let c(t) = -t**3 + t**2. Let m = -233 + 232. Let g(i) = m*u(i) + 5*c(i). Solve g(o) = 0 for o.\nAnswer: -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = f + 3*f - 204, 3*v - 4*f + 150 = 0. What is the units digit of v\/(-4) + (-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1369\/33 + 35\/11. Is 46 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14657 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -12*v + 8. Let h be c(-5). Let s = h + -226. Let y = -81 - s. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84)*2 - sqrt(84))\/sqrt(12) + (sqrt(700) + -1)*-4)**2*-6.\nAnswer: -92874 + 2256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5\/3))**(-17\/3)\/((g\/g**(-6)*g)\/g)**(11\/6) assuming g is positive.\nAnswer: g**(-163\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95062126 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1839 + -1834. Let p(r) be the second derivative of 3\/20*r**m - 3\/2*r**3 - 3*r**2 + 0 + 2*r + 0*r**4. Determine t, given that p(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {j: 4, b: 8, v: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/992 and -65\/707978.\nAnswer: 11327648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 121?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2164*s - 52571. Determine j(24).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 219, 189, 137, 57, -57?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q**2 - 40 + 529*q - 532*q + 24*q**2. What is a(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l. Let a be (-7 - -13) + -1 + l. Solve -2*k + 2 = -0*k - 3*n, 4*k - 6 = a*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w + 1. Let b be n(-1). Let z = b - -16. Suppose -23*y + 22*y + i = -119, 2*y + 5*i - 245 = 0. What is the highest common factor of y and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 8 = t + 5*v, -15 = -3*v. Suppose 0 = -u + t - 12. Find the third derivative of 2*c**2 - 2*c**3 + 2*c**3 - 48*c**u + 70*c**4 wrt c.\nAnswer: 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -99, -196, -293, -390?\n\"Answer: -97*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*g**3*u**2 - 3*g**2*u**3 - 16*g - 2*u**3 - 3*u wrt g?\nAnswer: -852*g*u**2 - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248.4 + -221. Let r = u + -27. Let t = -12 - -7. What is the closest to 8\/9 in r, t, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61754.93ug in kilograms?\nAnswer: 0.00006175493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1028 divided by -84911.\nAnswer: 1028\/84911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:44 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = 9. Suppose -6*z = -4*z + 2. Let p = 2 + z. Solve -q*k + p = -3*g, 0*g - 3*g = -k + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose -f + 2 = 4*k - 9, 3*f - 3*k = 3. Suppose 0 = f*o - s - 12. Solve 0*j + o = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12022 (base 5) to base 9.\nAnswer: -1185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - 3*sqrt(100))\/sqrt(5))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*h**2 - 2 + (-2*h + 2*h + 2*h)*(-4 - 7*h + 4) - 5 + 2*h**2 + 5)*(h + 0*h + 0*h) as f*h**3 + k*h**2 + s + w*h and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 8*l**2 - 10*l - 13. Determine z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:34 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3132968?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*u - 126*u - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5209 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r - 5. Suppose m - 6*m = -u + 22, m - 2*u = 1. Let x(z) = -z. Let l(g) = m*x(g) + i(g). Differentiate l(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1289 + 2849. Let u(m) = t*m + 4137*m - 8274*m. Let q(g) = -g - 1. Let h(j) = 19*j + 8. Let x(c) = h(c) + 5*q(c). Determine x(u(n)).\nAnswer: 14*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 - (3 + -1). Let k be s\/5 + (-17)\/(-10). Sort -3, k, 1 in decreasing order.\nAnswer: k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712*f + 329*f + 374*f - 28.\nAnswer: -9*f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 126\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -77926957.5 to the nearest one million.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyzeqmpqqpyqmqyqq. What is prob of picking 1 m and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*m + 19*m + 20. Suppose 707 = m*g - 318. Suppose d = -4*s + 63, -3*d + s = -3*s - g. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4776 - 0.0224. What is the nearest to 0 in 12, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.3 - -2.7. Let m = 7.999895 - v. Round m to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {p: 5, z: 2, o: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*t - 4, -3*q - 6 = -t - 19. Let k be 24\/16*1*t. Solve 0 = -0*g - k*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*p - 4 = -p, p = -4*s + 11. Let z(q) = -4*q**3 + 4*q + 2. Let u(c) = 4*c**3 - 3*c - 1. Calculate s*z(d) + 4*u(d).\nAnswer: 4*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*h - 2655 = 6817 - 2756 + 4414 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s. Let z(t) be the second derivative of 0*t**2 + 0*t**3 + t + 0 + 1\/6*t**4. Determine z(x(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*z - 205*z - 11*z + 31*z + 12886 = 0 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 10. Let l(w) = w - 6. Let f(y) = 5*l(y) - 3*m(y). Let x(u) = -4*u - 5. Let v be x(-2). Let q be ((-4)\/v)\/((-2)\/3). Determine f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 - 3*m - 8. Let x = -5595 - -5593. What is b(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0\/(-2) + (-156)\/(-38).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, 9, 0, 138.6 in ascending order.\nAnswer: 0, 0.4, 5, 9, 138.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256.93 and -280021845?\nAnswer: 280022101.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40\/73 - 3111\/584. Calculate the common denominator of t and ((-2)\/8)\/(336\/16240).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 + 5*h**3 + h**3 - 49*h + h**2 + 1 - 3 + 6*h**4 - 7*h**3 to the form p + b*h**4 + f*h**3 + w*h + s*h**2 and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-1 + 6) - 3) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -257 - -375. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 87527627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0906 - 0.090639311. Round m to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let q(b) = -2*b**2 - 5. Let w be 1\/(0 - (-1)\/5). Let y(s) = s**2 + 3. Let h(l) = w*y(l) + 3*q(l). Give v(h(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1100100001101111010100?\nAnswer: 1100100001101111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -243*n**2 - 11*n - 27. Let k(b) = -241*b**2 - 10*b - 28. Let t(j) = -5*h(j) + 4*k(j). Is t(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*4*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.99999917 + 22. What is w rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 17*g - 13. Let u = 301 - 157. Suppose 16*c - u = 8*c. Let v be x(c). Solve f = -2*t - 7, 3*f + 16 = f - v*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 612*r**3 + 30594*r**2 + 63036*r + 31827.\nAnswer: 3*(r - 103)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244 - -247.11. Let l = q + -1.98. What is l rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:23 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + -103. Let c = -157 - x. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*g - 372*g = -9588. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 221 and -2.1.\nAnswer: 218.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 14*h**3 + 3*h**3)*(-2 - 2 + 1)*(-7*h + 0*h + 5*h)*(0*h + h + h).\nAnswer: -96*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 68. Let t = h - 30. Let p = t - -12. What is the greatest common divisor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/12 + 2*h**3\/3 - h**2 - h - 36. Let m(y) be the first derivative of p(y). Calculate m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14654 or -14665?\nAnswer: -14665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 981814, 981809, 981800, 981787?\n\"Answer: -2*o**2 + o + 981815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 2)*(1 + 0 + 1) - 5 - 4 - 2)*(-2*y**5 + y**2 - y**2) + (2 - 5 + 2)*(2*y**5 - y**5 + y**5).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.967538mg in kilograms?\nAnswer: 0.000008967538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2540*m**2*n - m**2 + 20*m*n + 24*m wrt m?\nAnswer: -5080*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbd when three letters picked without replacement from pdsssbds?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02794 + 10.671?\nAnswer: 10.69894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.46 - -64.46. Let l be (44\/3)\/11*-3. Which is the biggest value? (a) 4 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1547, -378, -13, 3 in descending order.\nAnswer: 1547, 3, -13, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + x)*(-5*x - 23 + 33 + 7*x) - 2*x + 2*x**2 + 2*x.\nAnswer: -2*x**2 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*q = 192*q + 2*f + 3, 5*f + 20 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13101 (base 7) in base 11?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.85.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101)\/(492476\/530)*((-12)\/(-5))\/(-3).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2385455 + -0.2385407. Let c = 9 - 6. Let d = c - w. Round d to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuoookokouoo. What is prob of picking 1 u and 1 o?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + 5. Let p be x(0). Solve 0 = 5*z + p*s, -5*s = -3*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzzj when four letters picked without replacement from jrjjtjxjdjzjztj?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + k**2 - k**2)*(-k + k + k**2) + 3*k**5 + 0*k**5 - k**5 + 346*k**5 + 181*k**5 + 106*k**5 - 2*k**5 - 5*k**5 + 3*k**5.\nAnswer: 633*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46554597 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169*q**2 - 88 wrt q?\nAnswer: 338*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + z + 12 + 11)*(4*z**2 - 3*z**2 + 0*z**2)*(2*z - 6*z - 3*z).\nAnswer: -7*z**4 + 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-6) - (-32)\/(-4). Let j(m) = -4*m. Let p(w) = w**2 + w. What is r*p(x) - j(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-24))\/(7\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/663 and -71\/255.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 956276064*k\/7 - 114307988822416512\/7.\nAnswer: -2*(k - 239069016)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.3, -0.5, 27, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmbmbmmbmm. Give prob of picking 1 m and 1 b.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from lclllllcclllllllcl.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*((sqrt(1539)*3)**2*3 - sqrt(1539)) - (((sqrt(1539) - (-1*sqrt(1539)*5 - sqrt(1539))) + sqrt(1539))**2 - (sqrt(1539) + -2*sqrt(1539) + -1))).\nAnswer: -45*sqrt(19) + 67712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - ((-11 - -4) + 0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129562*j**2 - j + 170903 wrt j?\nAnswer: -259124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.57 and -113?\nAnswer: 403.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:31 AM?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -302\/3 + 1511\/12. Calculate the common denominator of b and -115\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 37. Let l(j) = -2*j**3 + 37*j**2 + 105*j - 5. Let h be l(21). What is the fourth smallest value in i, -1, -0.5, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23064\/62)\/((-1)\/(-5)*(-1185)\/79)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 4. Let k be l(5). Suppose 3*s - k = 37. Let q be (-2)\/8 + (-1)\/(-4). Solve -2*r + 21 = 5*u, 2*r = -4*u - q*u + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -5, -1, 15, 43?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/11 + -3\/22. Sort -5, -1, 0, g in decreasing order.\nAnswer: 0, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*w**6 - w**2 + 41*w**6 - 58*w**6 - 3 + 64*w**6 - w**4 wrt w.\nAnswer: 9000*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 700\/7337 + -3\/667. Sort 3, -13, l, -5 in descending order.\nAnswer: 3, l, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 164400.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c. Let a be x(0). Suppose -2*f + 8 = -a*f. Suppose -51 = -3*y + m + 3, 0 = 4*y + f*m - 56. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 1. Let y(p) = -p**3 - 3*p**2 - 7. Let h(v) = 5*u(v) + y(v). What is the units digit of h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*l - 47. Let b = -81 + -3. Let n = b - -138. Calculate the remainder when n is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 13*w + 9. Let a be m(-11). Let y = a + 8. Let s(d) = -d**2 - 4*d - 1. Calculate s(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p*p\/(p*p\/p**(2\/5)*p))\/p)\/p))**22*p**(1\/6)\/p*p**(-3) assuming p is positive.\nAnswer: p**(2261\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -8. Let q = k + 27. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155 - 101. Let v(i) = 4*i - 79. Let r be v(21). Let d(u) = 12*u - 54. Let n be d(r). What is the greatest common divisor of s and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 89 = 5*k, -207 = -3*p + 3*k. What is the remainder when p is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7006589364856 - 4.\nAnswer: 7006589364852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -1.3. Let z = f + 1. Let t = z + -0.1. Which is the nearest to 2\/7? (a) t (b) -1\/8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 1\/2*b**2 + 19\/3*b**3 - b + 4. What are the prime factors of m(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 8.8.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/4 (b) -52\/9 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**4 - 8*z**2 + 23*z + 6. Let j(x) = -5*x**4 + 12*x**2 - 34*x - 9. Let n(d) = 7*i(d) + 5*j(d). Find the second derivative of n(a) wrt a.\nAnswer: -48*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r - r = 244 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3080, -12322, -27726, -49292, -77020, -110910, -150962?\n\"Answer: -3081*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = 5*t. Let u(j) = 5*j**3 - 5*j**2 - 5*j + 7. Let q(c) = 2*c**3 - 3*c**2 - 3*c + 4. Let w(y) = -5*q(y) + 3*u(y). Give w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27649 + -17511. What are the prime factors of q?\nAnswer: 2, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 30. Let y be i\/(-40)*(-10)\/3. Let s be (9\/6)\/((-6)\/(-16)). Sort s, -5, y in descending order.\nAnswer: s, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*y + 36, -3*y = 2*y + m + 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 33. Give q(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + m + 1 - 2*m + 6*m**4 - 24*m**3 + 23*m**3 to the form l*m + q + p*m**3 + b*m**2 + f*m**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 22*n + 8*n - 3*n + 5*n.\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*q - 68, 5*q = -5*v - 167 + 497. What is the second derivative of 18*h + 64*h**3 + 110*h**5 - 129*h**3 + v*h**3 wrt h?\nAnswer: 2200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 72136 = 115413. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 - 637 = v, -5*k + 2*v = -635. Let l(a) = a + 137*a**2 - 2 - a**3 + 0*a**3 + k*a**2 - 261*a**2. Calculate l(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -549.6578 and -1.8912837?\nAnswer: 547.7665163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1)\/1 - -6. Suppose 4 = -3*b + 13, -c*b + 111 = 4*a. Find the common denominator of a and -63\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2975, -2969, -2945, -2891, -2795, -2645, -2429?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 257162600 rounded to the nearest 1000000?\nAnswer: 257000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8256 and 7866592.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**19\/s)\/(s**17*s))**(-13))**(5\/3) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 68344 (base 11) in base 2?\nAnswer: 11000001001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 866273.08 rounded to the nearest 1000?\nAnswer: 866000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(16)\/(sqrt(32)\/sqrt(4))) - (sqrt(891) + -1 + -3).\nAnswer: -8*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9.2 (b) 6\/11 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.6. Let z = -0.1 + 0.2. Let u = 0 - z. Sort u, -3\/7, t.\nAnswer: -3\/7, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1923 from -1902035.\nAnswer: -1903958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -31431*v. Let a(u) = -9*u. Determine c(a(b)).\nAnswer: 282879*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 2. Let y(z) = -2*z + 1. Let j = -4 + 2. Let k be j - 7 - -2*1. Let c(t) = -t**2 + 32*t - 27. Let g be c(31). Determine g*q(b) + k*y(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4563985?\nAnswer: 5, 912797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2440)\/32)\/(-61) + 14)\/(((-2)\/(-8))\/(-1)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24816 + -125194\/5. Let x = -222 - v. What is the second biggest value in -3, -3\/2, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222 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 -510 = -27*u - 24*u. Solve -2 = 3*w + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 41\/4 + 6\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/330*3\/2*160\/(-40).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 16. Let t = 2 - 2. Suppose -3*n = 2*y - 25 + 1, -2*n - 4*y + d = t. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 4*i + 6. Let s(g) = -g**2 - g - 1. Let a(t) = -r(t) - 5*s(t). Let n be a(-2). What is the smallest value in -1, -0.3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264 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: Factor -5*f**3 + 247670*f**2 - 3103591260*f + 903008426760.\nAnswer: -5*(f - 24618)**2*(f - 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(156)*-5)\/((sqrt(72)\/sqrt(2))\/sqrt(3))*4 + 1.\nAnswer: -20*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/5, -0.2, 3, 2, -7.15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95193 - -0.04807. Let q = -549.94 + 556. Let i = -6 + q. Sort -2\/11, i, v, 1\/3 in descending order.\nAnswer: v, 1\/3, i, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*s + 3*b + b, -3*b - 12 = 0. Is 12530\/s + 2\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*t**2 + 364*l**3*t*u + l**2 + 23*l*t**2*u + 6*l*t*u wrt l.\nAnswer: 6*t**2 + 2184*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Which is the third smallest value? (a) 0.1 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-1 + 15 + -4 + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:09 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 31. Put 2, i, 1 in increasing order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a5b5 (base 13) in base 9?\nAnswer: 466084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*r - 21, 0*r - 3*w = -4*r. Let s be r - -2 - (0 + -2). Factor -22*m + 6 + 9*m**4 + s - 1 - 39*m**3 + 57*m**2 - 11*m.\nAnswer: 3*(m - 2)*(m - 1)**2*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 4, 0.1487, -0.1 in decreasing order.\nAnswer: 4, 0.17, 0.1487, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4752) - sqrt(4752))\/sqrt(675) + 1)*2.\nAnswer: -24*sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - 6*j**3 - 23*j**3.\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 + 421 = 5*l - 14*j, -5*j + 3 = 2*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47156, 44569, 41986, 39407?\n\"Answer: 2*b**2 - 2593*b + 49747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -15 + 0 + 15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-2\/31))**(-1)\/(l*l**(16\/9))**(11\/6))**43 assuming l is positive.\nAnswer: l**(-515183\/1674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*u + 108 = 0, 0*f - 3*u - 165 = 4*f. Let t be (5\/2)\/(f\/(-12)). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (24 + (-114)\/6 - (-6)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 94. Which is smaller: 17\/6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75536051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 53. Let r = -45 + 77. Let u = r + l. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 5*t**2 - 7*t - 4. Differentiate r(q) with respect to q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2640*h**5 + 28576*h**4 + 42420*h**3 - 8308*h**2 + 72*h = 0?\nAnswer: -9, -2, 0, 1\/110, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71388 by 11898.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2. Let p(d) be the second derivative of -d**3\/3 + d. What is p(b(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1807 and 21823.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-458*c**4 - 556*c**4 + 388*c**4) + (c**2 - c**2 - c**2)*(-3*c + 3*c + 2*c**2) + c**4 - 5*c**3 + 5*c**3.\nAnswer: 625*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let q = o + 3. Suppose u - 4 + 15*u - 11*u**3 - 4*u**4 - 13*u**2 + 16*u**q = 0. Calculate u.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6296568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/5 - 186*o\/5 - 188\/5 = 0.\nAnswer: -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 330884313 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.3 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7001 + -4012. Is 61 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -30*a - 22. Let x be q(1). Let g be ((-33)\/(-12))\/1 - x\/208. What is t in 0 + 9\/4*t**5 + 3\/2*t**2 + 0*t - 3\/2*t**4 - 9\/4*t**g = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40418.\nAnswer: 2, 7, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*h. Find z such that 4*z**2 - h - 6*z**2 + 3*z**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-140)*50 + -6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j + 13. Let c be u(-6). Let z(t) = -t**3 - 11*t**2 + 11*t - 1. Calculate the remainder when (-22)\/c + (-204)\/(-10) is divided by z(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*b + 324 - 2250, -f = -2*b + 1918. List the prime factors of b.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 12 + 3. Let w(k) = -2 + 3*k + o*k + 3. Let c be -3 + 1 + 1 + 0. Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-1 + (0 - -9). Suppose 3*q + 2*h + u = h, h - 9 = 2*q. What are the prime factors of (8\/q)\/(1\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t + 0*t - 3*t)*(-97*t + 183*t + 178*t) to q + d*t + u*t**2 and give u.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.9 - -34. Put -0.18, t, -2 in decreasing order.\nAnswer: t, -0.18, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*s**5)\/s*s)\/s))\/(s*s*s**1*s*s*s)*(s**(1\/2))**(-24) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 + 0*u**2 - u**2)*(-41*u**2 + 184*u**2 + 73*u**2).\nAnswer: -216*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (3 - (0 + 3)). Let w be 2 - (c\/(-6) - -3). Let p = -12.52 - -12.52. What is the second smallest value in 1, w, p, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*h + 16 = 0, -2*m - 2*m = -4*h - 104. Solve m*l + 40 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*135398\/(-3)*(-684)\/456 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -19*c**2. Let x(z) = -3*z**2. Let j = -77 + 38. Suppose 5*b - 3*l = 45, l = 2*l + 5. Give b*q(g) + j*x(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-728)\/210)\/(-13)*-30\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29494 * -0.5.\nAnswer: 0.14747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/15 - -5)*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 58*k**2 - 6*k**5 - 59*k**2 + (3*k**5 + 2*k**5 - 6*k**5)*(-2 - 4 + 3) + k**3 + 6*k**5 - 3*k**5 - k**5.\nAnswer: k**5 + k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:26 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 154 (b) -17\/7 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 o when four letters picked without replacement from {o: 3, d: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -777c4 (base 13) to base 16\nAnswer: -34e49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/((-10)\/(-370)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a87a (base 15) to base 7\nAnswer: 205660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + ((-56916)\/2440)\/(-9). Let o = y - -1\/122. What is the common denominator of 67\/8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = n - 3*n. Let p be -4 + 22005 + 2 - n. Round p to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/11 - 948*f**2\/11 - 3780*f\/11 - 3776\/11 = 0 for f.\nAnswer: -944, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10322564 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 32. What is the fourth biggest value in j, 2, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let s be m\/3 + 26\/6. Suppose -2*w + 4 = -0. Solve -s*j + 2 = -w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/27 and 36\/11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**1))**35*((((a\/a**6)\/a)\/a)\/a)\/a**(-6))\/(a**(-1\/4)*a**4*(a**(1\/2)\/a)**(-1\/4)) assuming a is positive.\nAnswer: a**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180 - -112) + -43 - -87.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*n - 4*f, 7*n - 2*n - 18 = 4*f. Suppose 0*m - n = -3*m. Let v(h) = -11*h + 113. Let y be v(10). Put m, y, -12 in increasing order.\nAnswer: -12, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 163?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-30))\/(1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*p + 26 = -10*p, 318*p - 323*p - 16 = 5*w - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k - 47 + 98. Sort k, 9, 1, -1 in ascending order.\nAnswer: -1, 1, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340263 (base 7) to base 14\nAnswer: -17cda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 128\/18 - (-1295)\/(-185). Which is the nearest to -0.046? (a) -11 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a - 80 = -32*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 75*k - 981. Let y be l(13). Put y, 0, 2\/41 in descending order.\nAnswer: 2\/41, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26010619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -10.99999924. What is r rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5.8. Which is greater: -0.4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 1. Let w be k(-2). Let x(m) = -m**2 - 2*m + 3. Let u(z) = -2*z + 2. Suppose -28*j + 25*j = -6. Calculate j*x(i) + w*u(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897401 is divided by 5937.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13398*a - 1528392 = 4374*a for a.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733\/306658 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-205)\/30*((-15)\/2)\/(-5) and 3\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3)*90\/8. Suppose -87*b - 550 = -82*b. Let j = 155 + b. What is the greatest common divisor of j and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*sqrt(78) - sqrt(78))*-6)\/((sqrt(66)*-2)\/sqrt(11) - (sqrt(6) - (-1*sqrt(486) - sqrt(486)))).\nAnswer: 46*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 3*t - 3*t - 245499*t**3 + 1600 - 3*t**4 + 245499*t**3 + (-t**2 - 2*t**2 + 5*t**2)*(0*t**2 - 2*t**2 + 5*t**2).\nAnswer: t**4 + 1600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014?\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 63*h**2 - 188*h + 190. Let l be o(60). Is l >= -292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20022000200001 (base 3) in base 9?\nAnswer: 6260601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 divided by 28.\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svdwvswzssss. Give prob of picking 1 w and 2 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -3 + -7 + 10 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.67 and -181.460695572.\nAnswer: -178.790695572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 84*b**2 + 165*b\/2.\nAnswer: 3*b*(b - 55)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*t + 785 + 754 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*(1 + (-1041)\/6). Let l = 118 + z. Solve 5*r = -0*r - u + 1, -r + l*u + 13 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11180 < 11180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.7 from 0.258.\nAnswer: -8.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 17. Let g be c(-8). What is the tens digit of g\/(-2)*(24 + -16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*i - 2*f - 32, 12*i - 30 = 21*i + 3*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 0, 3*l - n - 167 = 4*l. Is -170 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:44 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 3\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let w = 4.9 - u. What is the nearest to w in -2\/9, 2\/9, 3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 28. Let z(w) = 4*w - 14. Let p be 116\/36 - 2\/9. Let g(n) = p*l(n) + 5*z(n). Let q be g(12). Calculate the greatest common divisor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 - (-13 + (42 - (-20 - -5)) - -6)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -669863914928 - -9\nAnswer: -669863914919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1073940140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Let p be (1*x\/(-6))\/(117\/(-27)). Suppose 2\/13 + p*j**2 + 4\/13*j = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.32 + 0.12. Let g = 0.7 - m. Let l = 3.9056 - g. Round l to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -3\/8 (b) -4\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/56 and -57\/4390?\nAnswer: 122920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*3)\/(3\/(-2)). Let g be 56*(-7)\/(-56) - -12. Differentiate -12 - 18 + g*c**3 + 7 + p with respect to c.\nAnswer: 57*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -128, -255, -388, -533, -696?\n\"Answer: -w**3 + 3*w**2 - 129*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 7*k - 29. Give c(-12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 10*c**3 - 5028*c**2\/7 - 59566*c\/7 - 131556\/7 = 0.\nAnswer: -38\/5, -3, 577\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*h = -66*h + 3*h - 1309 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2156 and 4116?\nAnswer: 45276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -0.26, 4, -0.236994, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from jjjjjjcjcgjjcjjjg?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejuu when four letters picked without replacement from qjeuqjjeeueeeeee?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51940391.\nAnswer: 1453, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514433588?\nAnswer: 2, 19, 461, 14683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038998 rounded to three decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1036*a**2 + 688922*a\/5 - 2394\/5.\nAnswer: 2*(a + 133)*(2590*a - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*l**2 - 2\/3 - 8\/9*l = 0. What is l?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7591 and 0.02.\nAnswer: 151.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/720 + k**5\/12 + 7*k**4\/24 - 4*k**2. Let w(n) be the second derivative of j(n). Give w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -657*h - 622*h + 1278*h - 9826 + 1562 in the form f*h + i and give i.\nAnswer: -8264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + 12\/(96\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175)\/sqrt(5)*4)\/((sqrt(84) - sqrt(84)*-2)\/sqrt(12)).\nAnswer: 4*sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (19 + -1)\/((-12)\/(-104)). Let n = -2784 - -2796. Calculate the greatest common factor of m and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004901 rounded to 5 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -397.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5401250*r**4 - 4797357*r**2 wrt r.\nAnswer: -129630000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 q when four letters picked without replacement from ssqqqsqqsqq.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*g - 124*g - 3 = 3*x, 4*g - 2*x = 30 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48010*c**3 - 26*c**2 - 135*c - 12 wrt c.\nAnswer: -288060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5274141*j + 23894. Let k(a) = 883*a - 4. What is -35841*k(g) - 6*p(g)?\nAnswer: -2757*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14*v = 276. Let s = v + -20. Suppose 5*a + s*i + 141 = 539, -4*a + 316 = 3*i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-6*(-3)\/36\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05714373 to four decimal places.\nAnswer: -0.0571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579685*a - 789803*a - 789872*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/5)\/(i\/(i**4\/i))*((i*i**(-1\/3))\/i)\/(i*(i\/((i\/i**(1\/7))\/i))\/i*i) assuming i is positive.\nAnswer: i**(-218\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 1, j: 3, w: 1}. Give prob of picking 1 w, 1 j, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382511?\nAnswer: 382511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28878197\/7512020 + 407\/109932. Let d = a - 3\/205. Calculate the common denominator of d and -77\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 s, and 1 e when four letters picked without replacement from {c: 1, s: 3, e: 1, d: 2, n: 3, h: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1000100000101000 (base 2) to base 14\nAnswer: -c9ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2450, 5201, 7924, 10619, 13286, 15925?\n\"Answer: -14*m**2 + 2793*m - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/24 + 2*c**3\/3 + c**2. What is the units digit of y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxlwl. Give prob of sequence lxxw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -152, -271, -418?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) -2 (b) -0.2 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = 184. Suppose 15 + 20 = 5*a. Let d be (-2)\/a + l\/(-14). Solve -2*b - d*f - 29 = 2*f, 2*f = 2*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 10*y - 3. Let o(q) = 1. Let k(s) = -i(s) - 5*o(s). Suppose -4*c + 28 = -0*c. What is the remainder when k(-7) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(144)\/(-2*sqrt(8)))\/(sqrt(9) + sqrt(36)*-2) + sqrt(18)*-3 + 2*sqrt(288) + -3))**2.\nAnswer: -3276*sqrt(2) + 16886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 51*x + 4048. Calculate r(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, x: 2}. Give prob of picking 3 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus -2203.46?\nAnswer: 2186.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*7\/(-49)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 0, -k + 3 = 2*v + 4. Let i be ((-3)\/10*-2)\/k. Which is the nearest to -1\/3? (a) -0.4 (b) 2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4 + 96*c**3 - 182*c**2 - 96*c + 184 = 0.\nAnswer: -1, 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:25 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3994718 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13 = 2*s, 7 = -v - 4*s - 4. Let l be (4 + v)*(14 - -1). Solve a + 24 = 5*x, -a - 4*a = 2*x - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4009925153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/3 + 19*x**4\/3 - 21*x**3 + 65*x**2\/3 - 22*x\/3.\nAnswer: x*(x - 1)**3*(x + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-2) + 10 + -1. Suppose l - 3*l = -g*b - 258, -4 = b. Calculate the greatest common divisor of 150 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -7796905?\nAnswer: -1559381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 - -3. Let v = h - -0.2. Let x = v + -0.2. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135278 divided by -134?\nAnswer: -67639\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -1a02cca8?\nAnswer: -1a02cca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(24\/80). Suppose -x*s + s = -568. Suppose -30 + s = 2*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 662260 (base 7) to base 12\nAnswer: 5720a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 33*q**3 - 150*q**2 + 20*q**3 + 102*q**3 + q**5 - 6*q**5 = 0.\nAnswer: -6, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, q: 4}. Give prob of picking 1 q and 3 a.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b**2. Suppose 4*j - 5*u + 5 = -j, -j = -2*u + 5. Let x(t) = -t. Let m(d) = -d. Let f(r) = j*m(r) - 7*x(r). Give f(k(o)).\nAnswer: -88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 56*k + 728. Let w be t(-13). Which is the closest to w? (a) -2\/21 (b) 4 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/(-424))\/(-5) - (-25 - 198\/(-8))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + y**3 - 3*y**3)*(4*y - 2*y - y).\nAnswer: -2*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 - 24*o**2 + o + 8. Let z be f(6). Let h(g) = -19*g**2 + 14*g + 17. Let u(r) = -3*r**2 - 1. Let d(y) = z*u(y) - 2*h(y). Factor d(x).\nAnswer: -4*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 113532979, 113532981, 113532983?\n\"Answer: 2*i + 113532977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923130 is divided by 174829.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(704) + -3*(-1 + sqrt(704))**2 + sqrt(704)) + (sqrt(704) + 1 + -1 + sqrt(704) + 1*1*sqrt(704))**2.\nAnswer: 64*sqrt(11) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.106 * 2314.\nAnswer: 245.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + 1 - sqrt(17)) - (0 + sqrt(425)))**2*3.\nAnswer: -180*sqrt(17) + 1383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 2*z - z + (-1 + 2 - 2)*(85*z - 121*z + 78*z).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3844 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1177920 and -61\/224?\nAnswer: 8245440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let n(t) = -4*t + 3. Suppose 5*y - 42 + 7 = 0. Suppose 1 - y = -2*b. Let a(v) = -3*v + 2. Let r(f) = b*a(f) - 2*n(f). Determine r(p(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -9 + (-5 - 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 17187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 36*g + 18. Let y be b(36). Find the third derivative of -69*f**6 + 2 + 317*f**5 + 44*f**2 - 317*f**5 - y*f**6 wrt f.\nAnswer: -10440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1079e8 + 1c?\nAnswer: -1079cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(40\/220)*497. Is q at most 5465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 11:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/150 - 3\/(-15). Which is the closest to 2? (a) -2\/3 (b) f (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 - -e?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3544 = -3529. Let v(c) = 2*c**2 - 6*c - 2. Let w be v(5). Put q, w, -1 in decreasing order.\nAnswer: w, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146182436?\nAnswer: 2, 36545609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35889207 divided by -3.\nAnswer: -11963069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.3 + -24. Let r = 0.3 + -1.3. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 39 = k. Suppose -k = w - 4*j, w + w = -2*j + 24. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408890335 to the power of 1\/2, to the nearest integer?\nAnswer: 37535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 1\/13, 3\/7, -5, 5 in decreasing order.\nAnswer: 152, 5, 3\/7, 1\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*a - 17, 0 = 6*z + 2*a + 13 + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -639.\nAnswer: 5\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1418899 and 43409?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32391 or 32392?\nAnswer: 32391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1335858 (base 10) to base 11\nAnswer: 832717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.249 - 3.951. Let c = -0.1085 - -4.9785. Let h = c + r. Round h to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a410 + 2?\nAnswer: 2a412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -875 + 157?\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2168, -5189, -22074, -48487?\n\"Answer: -4764*k**2 + 6935*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 - 4. Suppose 3 = -3*v - 6. Let c be v + 27\/6 - (-3)\/2. Determine g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 9. Suppose -t + 2 = -5*r. Let f(y) = 2 + r + 3*y - 4*y + 0*y - y**2. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 450 - 416. Let x = y - 30. Solve 2*m = -3*m - x*p + 29, 0 = -3*m + 2*p + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2. Let v(l) = 287*l**2. What is v(z(u))?\nAnswer: 2583*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 6:31 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -466033, -466034, -466035, -466036, -466037?\n\"Answer: -y - 466032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47367494 to the nearest integer?\nAnswer: 6882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l + 24 = 0, -3*q + 1098 = l. Calculate the remainder when q is divided by 94.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.013, -185, -2?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c**4 - 85*c**3 + 6*c**2 + 39*c - 12. Let j(b) = 25*b**4 + 86*b**3 - 7*b**2 - 38*b + 12. Let f(m) = 6*h(m) + 5*j(m). Factor f(x).\nAnswer: -(x + 1)*(x + 3)*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 20*m**2 + 4*m - 5. Calculate the remainder when n(2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -803 + 1363. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 - 173280*b = 0.\nAnswer: 0, 57760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 15 = j. Let i be (-1 - -6)*(-4)\/8*5696\/160. Sort -2, j, i in descending order.\nAnswer: -2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -690333600519357 + 690333553800669.0000003. Let n = -46718698 - h. Let v = 10 + n. What is v rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*o - 4*g = 206*o - 4, 4*o = g - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20417 (base 10) in base 2?\nAnswer: 100111111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 5*q**2 + q - 3. Let a(w) = -78*w - 161. Let c be a(-2). Determine l(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 12. Factor a**2 - r*a - 1 + 1 + 0.\nAnswer: a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-7)\/(-35))\/(2\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3839 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 3*c + c)*(-2 + 3 - 5)*(-22 + 65 - 351) to i + n*c and give n.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4808208 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111494377 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.5, 1, -2794?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -40246889?\nAnswer: 9\/40246889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 870538851 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 22. Suppose -5*t - 5*u = -4*t - 105, 5*u + 320 = p*t. Calculate the remainder when t is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1009719, 1009696, 1009673, 1009650, 1009627?\n\"Answer: -23*y + 1009742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*z = 40, k + 4*z + 2 = 35. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18259\/3 - -6086. What is the fourth biggest value in -2\/7, 1, -3\/5, -1.66, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 1\/2*a**6 + 0*a**5 + 0*a + 1 + 0*a**4 + 7\/2*a**2 + 0*a**3. Find the second derivative of y(l) wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16232 and 29528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4157 - 4153. Solve -2*l + 7 = 3*b, 14*l - 11*l - i*b = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -422 + 720. Suppose k = -0*k + x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) 0 (c) 4 (d) 1\/33 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.19 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1721106143258012\/97365 - -17676846334. Let j = 2\/6491 + d. Factor 38\/15*u**2 + 56\/15*u + 8\/5 + j*u**3.\nAnswer: 2*(u + 2)**2*(4*u + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 25 = 7*r. Let y = -28 + 31. Solve -q = -5*l - r, l - y*q + 15 = -0*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154797 is divided by 1062.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-56)*-14*(-2)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -3\/11, 1\/4, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.6059ml in litres?\nAnswer: 0.5566059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 7*l - 2*l)*(l - l + l) + 50*l**2 + 26*l**2 - 8*l**2 to the form i + d*l + g*l**2 and give g.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - d**4 - 11 - 5*d**4 + 3 wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*z - z + 5*c, -4*z - 2*c = 18. Let y(m) = 4*m + 5. Let n be (-10)\/15 - 5\/(-3). Let w(d) = d + 1. Let x(p) = n*y(p) - 5*w(p). Calculate x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1468 and 27\/8.\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*o - 12. Suppose -7*t + 3*t = -2*v - 8, -o*t + 5 = -5*v. Suppose t*m + 3 = -3, 4*m = -5*s - 8. Solve 4 = y - s*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 136 and 1.8.\nAnswer: 137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -514, -386, -114, 350, 1054?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 5. Suppose -5*t - 11*m + 15*m + 971 = 0, 0 = 2*t - 3*m - 387. Let c be (t\/(-117))\/((-10)\/18). Determine l(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/((-4)\/13))\/(-1). Let a = -15 - m. Let p be (7\/((-84)\/(-8)))\/a. What is the second smallest value in p, 6\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7456717 to the nearest integer?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zryzrzzzyyzz. Give prob of sequence zyrr.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23589, -47150, -70711?\n\"Answer: -23561*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5762836 is divided by 887.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137)\/((-419083)\/(-190))*2\/((-30)\/21)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5 + 6*u**3 + 5. Let j(n) = -n**3 - n - 1. Let z(p) = 7*p**3 - 6*p - 6. Let o(h) = -6*j(h) + z(h). Determine -3*o(l) + 7*q(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 4 (c) 5 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*b + 97*b + 3*b + 15*b + 196*b.\nAnswer: 365*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:15 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g + 42*g**2 - 91*g**2 - 5*g + 13 + 50*g**2. What is the units digit of c(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -617 + 208 - n + 207 - 2*n + 199 - n**2. Let x be (2*-1)\/(-2) - 4. Calculate p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 35*b**2 + 20*b - 43. Give a(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -217, -517, -1015, -1711, -2605?\n\"Answer: -99*x**2 - 3*x - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 814, 1224?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 14*f - 5*s + 43 - 128 = 0, -f - 797 = 36*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004607684 rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1909998*a**2 - 7*a + 9*a - 1910024*a**2 - 2*a.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 + 5*j**2 + 198 + 198 - 400 - 5*j - 4*j**3 - 4*j**2 in the form w*j**2 + k*j**3 + b + x*j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2245 (b) -4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2000*z**3 - 21*z**2 + 7*z - 1085. Let k(c) = c**3 + 7*c**2 - 2*c + 1. Let a(o) = 3*k(o) + l(o). What is the second derivative of a(y) wrt y?\nAnswer: 12018*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 - -5003. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-5)*(-2)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1279*j**2 - j - 3. Let f(s) = 3*s. Calculate i(f(d)).\nAnswer: -11511*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**7\/105 - 11*v**6\/30 + 73*v**5\/30 - 25*v**4\/6 - 1323*v**2. Determine u, given that b(u) = 0.\nAnswer: -25, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379 - -5*6\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(475)*-6.\nAnswer: -30*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(0 + 4\/(-8)). Suppose -1 - 1 = -l. Solve x*w = -l*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - 0 - (2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:30 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 283799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316847.\nAnswer: 316847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506291*a - 132921*a + 0 + 0.\nAnswer: 373370*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*36\/(-30))\/((-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 1497220*g**2 - 1497218*g.\nAnswer: -2*g*(g - 748609)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85708921?\nAnswer: 85708921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(720)*2)\/(3*sqrt(30)\/sqrt(3)))**2 + (sqrt(14) + 5*-1*sqrt(14))\/((sqrt(77) - (sqrt(77)*1 + sqrt(77)))\/sqrt(11) - sqrt(7)).\nAnswer: 48 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.263 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -z - 4*z + 85, 4*q - 4*z = 128. Let u = -61 - -200. What is the remainder when u is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + 0.7144.\nAnswer: -92.2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.98 - 0.98. Which is the fourth smallest value? (a) -34 (b) j (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -r + 5. Let x be ((-4)\/(-10))\/((-4)\/r). Let h be (x - 0) + (-32)\/(-14). What is the nearest to 1 in h, -1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3\/1116)\/(4396\/131880).\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3 + 31067*c**5 + 0*c**3 - 31079*c**5 - c**2 - 6*c**3 - 30*c wrt c?\nAnswer: -720*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 + 487635*d\/2 + 2803769 = 0.\nAnswer: -243806, -23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 759506.2643 + -729314.874. Let k = -30190 + y. Let a = k - 1.38. What is a rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j + 353*j**3 - 65*j - 3*j**3 - 125*j - 352*j**3 - 61*j + 317*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 6 - 18. Let s = 9 + f. Suppose -s*g - 5 = -2*g. Let w(n) = -n**3 - 4*n**2 + 3*n - 7. Calculate w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/30 + -5 + 338\/91 + (-4)\/(-14).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 57?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3867 = 559*c + 12811 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9713 is divided by 1306?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(0*o + o + o) - 4*o - 4*o + 7*o + (-7 + 3 + 1)*(-o + 2*o + 0*o) - 4*o - 4*o + 6*o + (0 + 0 - 2*o)*(-3 + 2 - 1) + o + 7*o + 0*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001246698535 rounded to six decimal places?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932442?\nAnswer: 2, 3, 72823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -65, 0.1, -4, 0.107, 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66869 and 5398.\nAnswer: 360958862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 24 = -2*s. Let h be 231\/14 + s\/4. Suppose -10*k - 170 = -h*k. Calculate the greatest common divisor of 51 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p - 0*p. Let y be (2 - 8)*5\/(-2)*1792\/672. Put 4, y, -1, p in decreasing order.\nAnswer: y, 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 3328?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4 = 8*u. Solve 4\/9*p + 2\/9*p**u + 2\/9 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = 0, 0*b = -b - 2*f - 3. Let v(i) = 17*i + 4. Let z be v(b). Suppose 0 = 3*t + 2*t - z. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 greater than or equal to 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 607\/5 + -121. Factor -t*k + 0 - 6\/5*k**3 + 6\/5*k**2 + 2\/5*k**4.\nAnswer: 2*k*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724904769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31488*u + 31489*u - 142 = 3*l, 0 = -u + 3 - 5 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -411, 5, -3, -5 in descending order.\nAnswer: 5, -3, -4, -5, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -492621?\nAnswer: -492621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1a55a6 (base 13) to base 6\nAnswer: -22200341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 10330112030?\nAnswer: 10330112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/21 - (-161)\/6. Let c = l - 129\/5. Find the common denominator of -69\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytyre. What is prob of picking 1 y and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511226.\nAnswer: 2, 255613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241206092.\nAnswer: 2, 3, 7, 182423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1632 - 1632. Solve 4*t = 3*i + 6, f = -i + 3*i + 2*t + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6411 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k - 3*k**2 + 7 + 5*k**2 + 6*k - 2*k to the form b*k + s*k**2 + p and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8383623835 to the power of 1\/5, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18135 is divided by 6045.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*0.3\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -78 - 336. Let n be (2 - (0 + 1)) + p\/(-23). Find the second derivative of -11*o + 77*o**4 + o - 70*o**n wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 105605851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 21*i + 67. Let l be c(-12). Let f(z) be the second derivative of 1\/12*z**4 + 0*z**5 + 0 - 1\/4*z**2 + 0*z**3 + l*z - 1\/60*z**6. Factor f(d).\nAnswer: -(d - 1)**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513 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: Let g = 2004 - 1999. Let i(w) be the second derivative of 0 - 5\/6*w**3 - 11*w + g*w**2 - 5\/12*w**4. Factor i(f).\nAnswer: -5*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -7) + 1 + -2. Let j(v) be the first derivative of -v**2\/2 + 11*v + 9. Let i be j(7). Solve 3*t + 17 = -b*n + n, 4*t + 2*n + i = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1670*n = -826*n - 830*n - 9800. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1869637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4. Let p be (-8)\/(-20) + (-114)\/(-15) + -3. Suppose 2*b + 3*b = -p*f - 10, 5*f + 20 = 0. Sort 1, b, a in descending order.\nAnswer: b, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/19)*w*(w*w**(1\/16))\/w)\/(w*w**10*w**(-1\/10)) assuming w is positive.\nAnswer: w**(-15113\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069052\/60 + (-2)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58556730 is divided by 2756.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.716 take away -0.2?\nAnswer: -15.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61522928 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -21. Do 1\/11 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.93783 milligrams to nanograms.\nAnswer: 67937830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-36)*2046\/(-372)*126\/44?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -27, -3, 59, 171, 345, 593?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*(-69)\/(-13984)*-268 - ((-59)\/(-19) + -3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 19) + 23 + (37 - 7 - 8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:45 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) - (-1326)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 267*m = 547*m - 278*m + 8, -n + 3*m - 8 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*m - 13 - 23 = 0, 2*c + 5*m + 8 = 0. Suppose 5*q - 20 = 5*s, -3*s + c*s = 4*q - 15. Suppose 4*f = 1 + q. Let h(d) = d**2. Give h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/38090 and 4\/36577827?\nAnswer: 365778270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 17*x**2 - 15*x + 14. Let l be b(-16). What is the units digit of (525\/42)\/(l\/(-76))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/28 - (-8)\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011001000010 (base 2) to base 11.\nAnswer: 73a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j + 3*z = -2*z - 68, 5 - 34 = 5*j + 18*z - 15*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*h + 65 = -73*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/775 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63164241137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)**(-22)\/(m**(2\/7))**23)\/((m*(m\/(m*m**(-2\/3)))\/m)**(30\/11))**(11\/3) assuming m is positive.\nAnswer: m**(-1202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*q - 5. Suppose -q*f = v + 3*v + 4, 2 = 2*f - 2*v. Solve f = -4*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5119 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 5790.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/45 - (-387)\/135. Sort p, -5, 5, -2 in ascending order.\nAnswer: -5, -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, k: 2, s: 2, b: 1, x: 6, w: 3}. What is prob of picking 1 b and 1 k?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3568, -4590, -6278, -8632, -11652, -15338, -19690?\nAnswer: -24708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811182078 to the power of 1\/2, to the nearest integer?\nAnswer: 53021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79399, 66293, 53187?\n\"Answer: -13106*h + 92505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:43 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 8. Let h be (-90)\/(-21) + 2\/(-7). Suppose 4*d - 60 = -4*t, 7*t = -3*d + 2*t + 51. Suppose h*k = 7*k + d. Calculate g(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 11. Let j be r(2). Suppose j*o = 7*o. Solve o = 3*g + 5*f - 8 - 4, -11 = 2*g - 3*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*x - 2*x - 8, -36 = 4*m + 5*x. Let o be -2 - (-2)\/m*-10. What is the third biggest value in 0.4, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, g: 7}. Give prob of picking 1 g and 2 m.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 0*q**4 - 2*q**4 + (0*q + 4*q - 3*q)*(1835*q**3 - 571*q**3 - 934*q**3).\nAnswer: 329*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*n**5 + 3907023*n**4 - 117213954*n**3\/7 - 104933694*n**2\/7 + 36838479*n\/7 - 398685 = 0. What is n?\nAnswer: -186053, -1, 1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*-1*19\/((-1140)\/(-2550)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -23. Let b be m + ((-124)\/(-8) - 1\/(-2)). Which is bigger: b or 12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6139000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = -0*v + 3*a, -5*a = -v + 5. What is the tens digit of v\/(-2) - (-11)\/((-55)\/(-280))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**3 - 156*q**2 - 929*q + 53. Give z(-6).\nAnswer: -1933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 22 = y, 2 = 4*q - 5*y - 4. Suppose q*z - z - 15 = 0. What is the second derivative of 4 - z*w**2 + 5*w - 5 + 1 wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133498010?\nAnswer: 2, 5, 13349801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 607717 and 2222?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 122590806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, 4, 232, -4 in ascending order.\nAnswer: -4, 4, 227, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.46407 - 0.06593. Let v = m + 72. Round v to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/10 - m**4\/12 - 2*m**3\/3 - 15*m. List the prime factors of g(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -0 - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(9\/2)\/i**(-1\/19) assuming i is positive.\nAnswer: i**(173\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -35\/2. Let g = -0.24 + 0.2. Let n = g + 3.04. What is the nearest to -1\/2 in -1\/7, n, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27340*p + 25464*p = -5628 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 381938556 to the power of 1\/2, to the nearest integer?\nAnswer: 19543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 8 = 15*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 8. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -41810559?\nAnswer: 1\/41810559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.2, -4944 in ascending order.\nAnswer: -4944, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v - 55. Let k(d) = -3*d**2 - 7*d. Let z(h) be the third derivative of 2*h**5\/15 + 5*h**4\/6 - h**2. Let y(g) = v*k(g) - 4*z(g). What is y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = j + 279, -3*j + k - 821 = 5*k. Let g = -1099\/4 - j. Which is the smallest value? (a) 4\/5 (b) g (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5098 = -l + 4*h, 0 = 3*h - 6. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, -5, -39, -15, 443 in decreasing order.\nAnswer: 443, 179, -5, -15, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 77 - 1 = 0. What is the third derivative of -5 - 3*t**2 - 1 + 241*t**s + 0 - 15 - 7 wrt t?\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 5. Let w be r(5). Let p be ((-2)\/6)\/(w\/75). Suppose -4*z = z - 25. Sort z, p, 1.\nAnswer: p, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3289 and 1298.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y. Let q(z) = -z. Let m(u) = d(u) + q(u). Let l be m(2). Solve -3*g - 2 - l = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128122879.74 + 12895067543.26. Let s = m - 13023190292.99999834. Let r = 130 - s. Round r to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 13*f - 16*f + 58*f - 7*f = 24*f + 52, 5*o = 5*f + 130 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*g + 22, 0*g - 2 = -4*z - 2*g. Suppose 4*i + 54 + 142 = k, 49 = -i + 5*k. Find the common denominator of 148\/30 + (-1)\/z and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -7*f**6\/360 + 13*f**5\/60 + f**4\/3 - f**3 + 5*f**2. Let z(j) be the first derivative of b(j). Factor z(l).\nAnswer: -(l - 4)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -20*l + 1179. Give x(64).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -0.1, 59?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*z - 134180, 2*z = 4*i - 53355 - 53971. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-655*b + 641*b + 0 + 0)*(13*b**3 - 4*b**3 - 8*b**3) in the form h*b + u + i*b**4 + o*b**2 + x*b**3 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/6 + -2 + (-120)\/(-18). Calculate the highest common factor of 161 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + -1d?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 79, 183, 329?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*a**5 - 37*a**5 + 16*a**5 + 6*a**5 - 4*a**5 + 0*a**5 + (a + 2*a - 2*a)*(a**4 + a**4 - 6*a**4).\nAnswer: -40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -l - 26005, 68*l = 2*b + 63*l - 12989. List the prime factors of b.\nAnswer: 2, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71786*m - 71790*m + 2*q + 30, -3*m = -q - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -16*m**2 + 4*m - 4. Let y(i) = -33*i**2 + 9*i - 9. Let v(f) = 18*u(f) - 8*y(f). Let p(g) = 15*g. Calculate p(v(q)).\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -2.2. Is -2\/7 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhvo when four letters picked without replacement from {h: 2, o: 4, v: 3, k: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 69*q**2 + 398*q - 14. Give a(7).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r**2 - 10*r - 7. Let s be x(-7). Suppose -31*c - v - 1020 = -28*c, -2*c - v = 681. Let h = c + s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5\/36, -0.31, -2\/7, -5, -2\/13, -1\/15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 92*i - 92*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = p + 20, 12 = 2*m + 101*p - 106*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 16. Let x(p) = 71*p + 2. Calculate x(y(b)).\nAnswer: -213*b + 1138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 8) to base 7.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28088 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:01 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 231\/49 + 4\/14. Suppose 3*n - 6 = -3. Sort -3\/5, n, f in descending order.\nAnswer: f, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -58*f**2 - 12*f + 28*f**2 + 25*f**2 + 4 + 4*f. Let w(l) = -6*l**2 - 9*l + 4. What is -7*c(n) + 6*w(n)?\nAnswer: -n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 3*c**5 + 3*c**5 - 2*c**5 + 3*c**5 + 0*c**5 + (0*c**2 + 0*c**2 + 2*c**2)*(1 - 1 + 2*c**3) + c**5 - c**5 - 2*c**5.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwww when four letters picked without replacement from {f: 3, e: 2, w: 3, p: 7}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kihhghhkgghkhhi. What is prob of picking 3 h?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k*(k\/(k*k\/((k**(-2)*k*k)\/k)*k*k)*k)\/k)**(-5\/4) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 4 + (0 - 4 + 6)*(2 - 5 + 1))*(q - q + q) in the form w + d*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10916 at least as big as 10874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(160))\/(sqrt(2) - sqrt(550)\/sqrt(11)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2057) + (sqrt(204)\/(2*sqrt(12)) - sqrt(17)) + ((2 + sqrt(2057) - sqrt(2057))*3)**2.\nAnswer: 36 + 21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6*(-48)\/54*-66 and 14.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 802706*c**2 + 161085033312*c - 322166855808.\nAnswer: (c - 401352)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 - 1756. Let z(a) = a**3 - 4*a**2 - 1763. Determine 2*u(n) - 3*z(n).\nAnswer: -3*n**3 + 1777","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14845 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335673, 671732, 1007791, 1343850?\nAnswer: 1679909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29 + 27)*(1*-1)\/1. Solve -s = 5 - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -13*y**4\/12 - 8*y. Let l(d) = -d**2 + 138*d - 138*d. Calculate b(l(z)).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 1, w: 1, y: 3, n: 5}. What is prob of picking 1 w, 1 a, and 1 n?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (4 + -4 - 2\/1). Let m be (5 - a)*(-2 - -12). Suppose -2*t - m = 0, -2*t + 1 = 5*d - 9. Solve 0 = 3*x - u + 5, -u = -0*x - 2*x - d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -14 - (-38 - -45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127\/75 - -2\/75. Let i be ((-2)\/(-3))\/((-26)\/6). Sort -5, n, -0.01, i in ascending order.\nAnswer: -5, n, i, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:15 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 24*j - 3. Let u(p) = -13*p + 2. Let o(a) = -6*f(a) - 11*u(a). Let v(q) = 3*q + 9. What is 5*o(k) + 2*v(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122621, -122620, -122619, -122618?\nAnswer: -122617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.03719?\nAnswer: 0.14876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h - 41 + 341 = -12*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 656915431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-27))\/(7 - (-95)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140830141?\nAnswer: 140830141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160 - -1758\/11. Put -4\/7, 0, c in descending order.\nAnswer: 0, c, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 45*s**2 + 356*s - 443. Determine z(-52).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 10*w. What is the tens digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288.2 - -251. Let n = s + 30. Round n to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 277525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 122*p - 3. Let r(h) = 49*h - 1. Let q(y) = -5*r(y) + 2*w(y). Let b(t) = 1. Calculate 2*b(g) - 2*q(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2 - 2*w + 1. Let u be i(-1). Which is the third smallest value? (a) -4 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20630777 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -482, -710, -938, -1166, -1394?\n\"Answer: -228*r - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28300, 56608, 84916, 113224?\n\"Answer: 28308*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4331 * 0.43.\nAnswer: -1862.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -166\/3? (a) 6 (b) 3\/166 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -644 - -669. Suppose p = 4*h - 7. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/90 + (15093\/1701)\/(-13).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*k = -27. Suppose a - 6 = 6*a + 2*s, -k*s = a + 9. Suppose -5*n + 281 + 39 = a. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4727962686 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3 - 7. Suppose w*l = -l + 610. What is the units digit of 4\/14 + l\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3*r**2 + 4*r**2)*(-2 + 5 - 2 - 2*r**3).\nAnswer: -4*r**5 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1259691 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9765.000029401 + -9765. What is d rounded to 7 decimal places?\nAnswer: 0.0000294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12*h - 33. Give u(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/12 + -7\/4. Let b(i) = i**2 - 2*i + 1. Let a be b(3). What is the third smallest value in j, a, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020845 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.08209.\nAnswer: 0.024627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - -1679984) + -10 - -10. Suppose -4*a = -3*a. Suppose 4 + a = h, h + i = -q. Round q to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1011001111100 (base 2) to base 3\nAnswer: -21220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 957310369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*j + j + 6 = 0, 3*j = 2*t + 2. Sort 0, -4, t in ascending order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3001 * -0.5.\nAnswer: -1500.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa36 (base 11) in base 2?\nAnswer: -11100011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 134512?\nAnswer: 13450c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/6 + 451*h\/2.\nAnswer: -h*(h - 1353)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 + 36*h**2 - 33*h = 0. What is h?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aglnnlllqqanlnqzaln. Give prob of sequence ag.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 20. Let i be f(14). Let o = i + 8. Let g = 49 - o. Solve a - g = 5*k, -4*a + 3 = -2*k + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*d + 43*d - u - 1871, 5*d - 9361 = 8*u. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 108, -4, 5, -11, 6, -1 in decreasing order.\nAnswer: 108, 6, 5, 2, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*21759.1.\nAnswer: -108795.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256667414 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(1 - (3 + -3)). Suppose 0 = 20*h - 15*h - 25. Suppose 2*a + 25 = 7*a + d, h*a - 3*d = 5. Sort 3, r, a, -2.\nAnswer: r, -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 14*u**3 - u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(16\/7)\/t*(t**(-23)*t*t)\/t)\/((t*t\/((t\/(t\/t**(-19)))\/t)*t*t)\/(t*t**(-7)*t*t)) assuming t is positive.\nAnswer: t**(-341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = 27. Let k be 694*(r + 20\/8). Let p = -142 - k. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-3)\/120*-5. Let w = 0.3 - 0.1. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/135 and -23\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2092*t**5 - t**2 - 30*t wrt t.\nAnswer: -125520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26793098 at least as big as 26793096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**4 - 2 + 2 + 1 - 2586*x**3 + 2484*x**3 + x**2 - 2*x in the form b + s*x**2 + f*x + w*x**3 + d*x**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/8 - 15387573*o\/8 - 15387579\/4.\nAnswer: 3*(o - 5129193)*(o + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 8 = -102. Let s(f) = 12*f - 93. Let c be s(x). What is the highest common divisor of 135 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/120 and 109\/225680.\nAnswer: 677040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 50 = 4*q, -4*u + 6 = -2. Calculate the highest common factor of 20 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:00 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.41 - 1.7125. Let h = -0.0985 + b. Let o = 0.4 + h. Round o to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 19*j**3 - 3*j**2. Let k be r(2). Calculate the common denominator of -9*1*28\/(-40) and (-2)\/2*k\/63.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 l when three letters picked without replacement from jclyzcfcyzjzy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -3. What is the second derivative of 0*l**2 + 0*l**2 + y*l - 5*l - 3*l**5 wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 422*k + 428*k - 782*k to m*k + r and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 792794 = 2*r, 5*j - 4*r - 241949 = 749039. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**7\/630 - x**6\/180 - x**5\/15 - x**4\/6 - 3*x**2. Let p(w) be the second derivative of m(w). Factor p(r).\nAnswer: 4*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000111708 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -537 and 0.016?\nAnswer: -8.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:49 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663864776 a multiple of 1446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = z + 2*y, -1141*z = -1145*z + 4*y + 48 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 8*v - 1. Is k(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551.053181 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 2*s - 2*s)*(10109*s + 10220*s - 20723*s).\nAnswer: 394*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4387 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 632 and 1422?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/21 - -13\/7. What is the nearest to -2\/3 in -0.5, i, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 129 = 5*x. Let o = -27 + x. Calculate the lowest common multiple of 6 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26753 and -8.\nAnswer: 214024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, 1\/2, -13 in descending order.\nAnswer: 1\/2, 1\/3, 0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 2*n)*(-25*n**2 + 31*n**2 + 4*n - 2*n + (-n - 3*n + 5*n)*(-78*n - 1676 + 1676) + 11 - 11 + 7*n**2).\nAnswer: 65*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 54. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164673, 329344, 494015?\nAnswer: 658686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*b*j*u**3 + 2*b*j*u**2 + 4*b*u**3 + 2*b*u**2 - 543*j*u**2 + j*u wrt u.\nAnswer: 336*b*j + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/7))\/d)**(-24\/7) assuming d is positive.\nAnswer: d**(96\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**7)\/(a*a**10\/a))**(1\/10)\/(a\/(((a*a**(-4\/3))\/a)\/a)*a**(1\/4))**(-2\/159) assuming a is positive.\nAnswer: a**(-131\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (132\/9)\/((-10384)\/(-58764))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3524*x - 108068 = -34064 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.7026l in millilitres?\nAnswer: 386702.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 7)*(4*j - j - 4*j) + 3*j + 0*j + 2*j + (3 + 4 - 3)*(0 + 0 - 2*j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*r**2 + 2\/3*r**3 - 1\/6*r**4 + 0 + 0*r.\nAnswer: -r**2*(r - 3)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by (-1)\/(0 + -3 - 5885\/(-1980))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(4\/9) assuming f is positive.\nAnswer: f**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8421+0.047\nAnswer: 8421.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 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: How many months are there in twenty-nine thirds of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -48, -21, 42, 147, 300, 507?\n\"Answer: b**3 + 9*b**2 - 37*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:58 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15163*d + 16167*d - 27843*d.\nAnswer: 3487*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -690.080423791+345\nAnswer: -345.080423791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -618*v + 236*v + 228*v + 251*v. Let c(z) = -z. Determine p(c(o)).\nAnswer: -97*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*t + 226. Suppose -t = 4*m - 20. Let o(p) = 5*p**2 + 13*p - 29. Let z(n) = 3*n**2 + 6*n - 15. Let d(q) = m*z(q) + 6*o(q). Solve d(a) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3953880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -561, -5, 4 in ascending order.\nAnswer: -561, -7, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (22922\/16 - -1). Let l = 1442 + s. What is the common denominator of -75\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*z + 17 - 12 + 16*z + 9*z to the form b + x*z and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(35\/42*(396\/44)\/(7*3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - i + 89 = 3*i, 0 = 4*b + 4*i - 296. Suppose 91 = w + 5*s, 0 = -5*w - s + 404 - b. Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(5 + -1*sqrt(1584) - (sqrt(1584) + 3)*3) + -2 + -4.\nAnswer: 90 + 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 106. Calculate the lowest common multiple of c and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54a37 + 6?\nAnswer: -54a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37284)\/717*((-6)\/8)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21103*r + 10891*r + 10695*r - 428 + 147 wrt r.\nAnswer: 483","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*i - 7. Let p(w) = -w**3 - 15*w**2 - 15*w - 13. What is the smallest common multiple of 2 and p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/3 + 8*y - 64\/3 = 0.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let s(m) = 13*m. Determine 6*j(v) + s(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.863094ml?\nAnswer: 0.006863094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78 + -24 + 0 + -9. What is the greatest common factor of v and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3794079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1 + 0 - 62\/(2232\/(-324))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**5 + k**5 + 4*k**5)*(-5 + 5 + 2) - 10*k**5 + 0*k**2 + 9*k**5 - k**2.\nAnswer: k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -6\/13*v**3 - 7\/780*v**6 + 0 + 0*v + 4\/39*v**5 + 61*v**2 - 17\/52*v**4. Suppose l(s) = 0. Calculate s.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23650937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let j be ((-6)\/(-15))\/((-6)\/(-5)). Let t(u) be the second derivative of 2*u + 0*u**2 + j*u**3 + 0. What is t(i(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 7, a: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1291, 1794, 2273, 2728, 3159, 3566?\n\"Answer: -12*o**2 + 539*o + 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, k: 2, f: 3}. Give prob of sequence ffk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2. Let m(t) = 4921*t**2 - 2*t. Give m(p(r)).\nAnswer: 44289*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924 + 5*i - 924.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-132)\/(-55))\/((-6)\/45). What is the lowest common multiple of (d\/10)\/((-6)\/40) and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 5 + 1 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let w(s) = 3. Let z(v) = -3*j(v) - 2*w(v). Let a(l) be the first derivative of l**3 + 7. What is a(z(o))?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9285 and 9465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 27. Suppose s = 5*k - 331 - 69. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 5650?\nAnswer: -5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 - 834*c**2\/5 - 83952*c\/5 + 629216\/5 = 0. Calculate c.\nAnswer: -212, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 384380903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(19)*1 - (sqrt(76)\/(sqrt(4) - sqrt(36)))**2).\nAnswer: -57\/4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v + 4. Suppose 0 = 4*u - 2*u - 4, 0 = 3*y + 3*u - 9. Let o be k(y). Which is bigger: 106\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(486))\/(5*(sqrt(288) + sqrt(2))).\nAnswer: 9*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -17, 29.\nAnswer: -17, -9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f - 1. Let x(p) = 10*p**3 + 68*p**2 - 154*p + 82. Let y(r) = 6*g(r) + x(r). Factor y(s).\nAnswer: 4*(s - 1)**2*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24659976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90283647 + -2.\nAnswer: 90283645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 65, 2, -4 in decreasing order.\nAnswer: 65, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g + 6. Let u(y) = y**2 - 15*y - 13. Give 13*f(d) + 6*u(d).\nAnswer: 6*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5 = -3*y, -4*z + y + 91 = 0. Calculate the remainder when 68 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128108 divided by 3.\nAnswer: 128108\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -96349 > -96348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2854 (base 13) in base 5?\nAnswer: -141230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 83*h**6\/10 + 118*h**2 + 261*h + 253. Let i(w) be the first derivative of q(w). Differentiate i(y) with respect to y.\nAnswer: 996*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/66 and 101\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.24 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + i**3 - 2*i**2)*(i - 2 + 7*i - 4*i)*(-5*i - 8*i - 9*i).\nAnswer: -88*i**5 + 44*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -89. Let i(h) be the second derivative of -1\/9*h**4 + 1\/45*h**6 + 0*h**3 + o*h**5 + 1\/3*h**2 + 0 - 3*h. Solve i(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 491712 and 2880?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + (0 + -2 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -0.22227408?\nAnswer: 0.52227408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-7)))\/j*j*j**1*j*j*j*(j**(-2\/3))**(-2\/79)*((j\/(j\/(j\/(j*j**(-5)*j))))\/(j*j**(-3\/11)*j))**(8\/11) assuming j is positive.\nAnswer: j**(392008\/28677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 271*o + 66. Let s(c) = -c**2 - 90*c + 22. Let h(m) = 3*i(m) - 10*s(m). Find f such that h(f) = 0.\nAnswer: -22, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -4\/15*r**2 + 0*r**3 + 1\/30*r**4 - 170 + 0*r. Factor k(a).\nAnswer: 2*a*(a - 2)*(a + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 622 + -622.07. Let h = -0.63 - -0.4. Let g = l + h. What is the smallest value in -2, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329665 is divided by 21970.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7*d = -12. Solve -2*t = -t - d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108 - -1161. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -1, -5, -25, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -170382, -170383, -170382, -170379?\n\"Answer: c**2 - 4*c - 170379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*b - 670*b + 2*b**2 - 2 - 430*b - 381*b.\nAnswer: 2*b**2 - 1184*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -23. Let a = w + -10. Is (a\/(-8))\/(17\/68) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*t + 6 - 8*t**2 + 86*t + 88*t**2 + 9*t**2 to n*t + l*t**2 + r and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:01 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3362259l?\nAnswer: 336.2259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 - 6*j - 14. Let q(w) = -15*w**2 - 12*w - 29. Let x(i) = -7*h(i) + 3*q(i). What is the derivative of x(o) wrt o?\nAnswer: 8*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 71*y + 0*y**2 - 148\/3*y**3 + 149. What is the derivative of o(s) wrt s?\nAnswer: -296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 58*n**2 + 42*n - 175. What are the prime factors of y(28)?\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -21. Suppose 5*s - s = r. Suppose -l + 3*m = 1, 2*m = -l - 2*m + s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -135, -178, -237, -312, -403, -510?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16513 * 0.069\nAnswer: -1139.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -911, -465, -21, 421, 861, 1299, 1735?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = v - 386, 2*w - 106*v - 184 = -102*v. Let z = 4 + -2. Suppose 24 = z*u - 0*u. Calculate the greatest common divisor of u and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 13. Let l be z(-7). Let m be l\/(-6) - ((-30)\/12 - -4). Solve -m*x = 3*u, 0 = -2*u - 3*x - 4 - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.2 + 13. Let f = l + -19. Round f to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176512415 by 6086635.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/350146841 and -121\/4930.\nAnswer: 3501468410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28959.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5977*b**2 + 544 wrt b?\nAnswer: 11954*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21248379 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytyjjyyojyyyywyyojj. What is prob of sequence yt?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 31*k - 4*v + 4, 0 = -2*k + 4*v + 8. Solve 0 = -2*i + 8*i + k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1045, -2, -30, 6 in ascending order.\nAnswer: -30, -4, -2, -1, 6, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305383.87 - 306777.9943. Let m = o + 1394. Let i = m + 0.139. Round i to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k**2. Let x(a) = a**2. Determine w(x(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(-2)\/4)\/((-2)\/(-1)). Suppose x = 3*g - 38582873 - 16317127. Round g to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 183159704 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3679624 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5283*f**2 + 2600*f**2 + 2693*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 9*p - 3. Let w(q) = -4*q + 6. What is w(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*2 + 1 - (-2*sqrt(135))\/sqrt(3))**2 - ((3*sqrt(450)*-4 + sqrt(450) + sqrt(450))\/sqrt(10) + -5).\nAnswer: 54*sqrt(5) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 37*j**2 + j. List the prime factors of l(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26655?\nAnswer: 3, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/3 + 76334*s = 0.\nAnswer: -114501, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let u = -1 - -0.9. Let g = 2 - 2.3. Which is the third biggest value? (a) u (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71351.3 - -76360. Round s to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p - 79*p = -613732 - 110099. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4 (b) -4 (c) -3\/7 (d) 37 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {e: 3, x: 2, a: 1, t: 2, g: 2, s: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3\/5 - 138081*h**2\/5 + 69042*h\/5.\nAnswer: -3*h*(h + 23014)*(2*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/30437 and 47\/70959715.\nAnswer: 780556865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5845 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxk when three letters picked without replacement from rxxkrrrk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -0.2, 7, -0.4, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let j(y) = 14*y**2. Calculate u(j(g)).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6)*-2) + sqrt(3) - (-1 + -1*sqrt(3) + sqrt(3)) - (sqrt(3) + -2 + 5 + -2).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -42.999983. Round j to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 280 = 59*u. Let c(j) = j**3 + 2*j**2 - 14*j + 12. Let l be c(u). Let a(w) = -w**3 + 7*w**2 - 3*w - 2. What is a(l)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30596*y - 1 + 61192*y + 25*y**2 - 30569*y to s + x*y**2 + f*y and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 4*r**3 + r**4)*(2*r + 1 - 1) + (-2*r**4 + 0*r**4 + 5*r**4)*(-r + r - 2*r) - 2*r**5 + 0*r**5 + 4*r**5.\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*(-42)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t)*(3 + 1 - 2) + 3*t - 3*t + 2*t - t - 3*t + 2*t + t + 5*t - 4*t + 582*t - 276*t - 242*t.\nAnswer: 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*w - 4*w - 158*w + 41*w**3 + 34*w**3 - 95*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1701408 and 336.\nAnswer: 11909856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26307 and -0.4.\nAnswer: 10522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 1. Let x be -5*o\/(3\/18). What is the common denominator of 1\/22 and 603\/(-12)*(-2)\/x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6)\/(50\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3565326 - -6?\nAnswer: 3565334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.126 + 6.477. Round h to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/17, 1\/7, -7374 in decreasing order.\nAnswer: 15\/17, 1\/7, -7374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -388, -757, -1132, -1519, -1924, -2353?\n\"Answer: -f**3 + 3*f**2 - 371*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**3 + 33*l**2 - 10*l + 105. Determine m(8).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 - 2*r**2 - 5*r**2 + 22*r**2 - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -147 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/14 - (-2)\/(14\/3). Suppose 4*z + 5*o = 11, -4*z + o + 0*o = 7. Sort 0, z, x in descending order.\nAnswer: 0, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**4 - 7*a**2\/2 + 5*a - 1. Let o(y) = -8*y - 21*y + 3 - 2*y**3 + 25*y. Determine -4*n(k) + 7*o(k).\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, -519, -680, -777, -810, -779, -684?\n\"Answer: 32*v**2 - 321*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 5) + 4 - (2 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 - 15*t**3 - 18*t**2 = 0 for t.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/1478265 and 18\/2463775?\nAnswer: 7391325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and -138.\nAnswer: 38.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-2)*966\/5635*(-10)\/3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17*(-36)\/(-612))\/28.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*sqrt(4840))\/(6*sqrt(968)))**2.\nAnswer: 161\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1239583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + -2*((2 + sqrt(5)*2 + -5)**2 - (5 + (sqrt(45)\/sqrt(3))\/sqrt(3))).\nAnswer: -49 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -2 + -2 + ((sqrt(30) + sqrt(30) + -2*sqrt(30))\/sqrt(6))**2.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*r + 38160555*f - 297285*r wrt r.\nAnswer: 4*f - 297285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.27+-1.96348\nAnswer: -2.23348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 g, and 1 b when four letters picked without replacement from kogoobgkkgkkgggg?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 45172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5 - m**2 - 4 + m + 4 + 4. Suppose -8*t + 17*t = -9. Let p(q) = 29*q**3 + 6*q**2 - 6*q + 26. Let n(y) = t*p(y) - 6*c(y). Differentiate n(o) wrt o.\nAnswer: -87*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/z)\/(z*(z*z**(4\/9))\/z))**(3\/26)\/((z\/(z\/((z*z*z**(2\/5)\/z)\/z*z*z*z))*z**(2\/7))\/((z**0*z)\/(z\/((z*z**5)\/z*z)*z))) assuming z is positive.\nAnswer: z**(241\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6504)\/(-11924))\/((-3)\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, d: 2}. Give prob of picking 2 y.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -382794*j**4 - 305974 wrt j?\nAnswer: -1531176*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*m - 36, 2*s + 26 = 3*s - 4*m. Let w(x) = -s*x - 17*x + 29*x. Calculate w(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 81 - 78)*(2*t**3 - 2*t**4 - 2*t**3) - 4*t**4 - 12*t**4 + 6*t**4.\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(0 - (-1)\/(-7)). Let r be 0 + 4 - (5 + -1). Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10*10\/(-12))\/((-6)\/(-198)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/35 - (-9456)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 38 + 42. What is the smallest common multiple of 180 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 - 3*h - 5. What is the remainder when p(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10013310 (base 4) to base 11.\nAnswer: -1175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24515.01 litres?\nAnswer: 24515010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avavauvaaav. Give prob of picking 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -7. Let z be m\/(-10) + (-4)\/(-10). Let r be ((-6)\/(-4))\/(255\/(-20)). Is z greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 9, 5*c + 4*w = -0*c + 58. Calculate the highest common factor of c and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*(c*c*c**(1\/7))\/c)\/c)\/c)\/(c**(-1\/6)\/c))\/(c**(2\/7)\/(c**(1\/6)\/c)))**(-23\/6) assuming c is positive.\nAnswer: c**(-46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -359455, 13, -2, 2 in increasing order.\nAnswer: -359455, -2, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {v: 2, g: 1, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 14. Suppose 0 = -19*x + 3*x + 32. Let u be (-12)\/(-28)*x\/i. Sort u, 1\/6, -5 in descending order.\nAnswer: 1\/6, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -17. Let c = 2 + 3. Let p(g) = -2*g**2 - 8*g + 5. Let n(q) = q. Let h(d) = -3*n(d) - p(d). Let b(m) = 3*m**2 + 8*m - 8. Determine c*b(o) + s*h(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/10)\/((-37)\/(-50061)). Let z = -271 + u. Sort -6, -1, z.\nAnswer: -6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - p + 88 = 0, -3*h - 5542*p = -5543*p - 236. Solve 4*f + 5*m = -26, -h*m - 6 = 3*f - 84*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 6 = 0, 7*k = -c + 5*k - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*d + 8*d - 4*d + 12, 6*u = 2*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 + 0*o**3 + 14*o + 1\/12*o**4 + 0*o**2. Let g(i) be the second derivative of i**4 - 2*i. Determine g(y(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 13*y + 11. Let o be -2*((-12)\/(-8) - 18\/4). Let c be (-2)\/(-1 + 45\/39). Let b(l) = l**2 + 6*l + 5. Calculate c*b(m) + o*t(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/11)\/(j*j**(-5\/7)*j) assuming j is positive.\nAnswer: j**(-71\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -697, -5, -2\/13, -7 in decreasing order.\nAnswer: -2\/13, -0.2, -5, -7, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29 - -4.29. Which is the closest to -1? (a) s (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 14, -3, 2\/367, 0, -19, 1\/8 in descending order.\nAnswer: 14, 8, 1\/8, 2\/367, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3*i)*(26*i - i + 4*i) + (-34*i**2 - 5*i**2 + 14*i**2)*(0 + 4 - 2) to the form v + t*i**2 + z*i and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 + 12*132\/54. Solve -3*g + f = -3*t, 3*g - 17 - 3 = t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.06, 2\/13, 0.43, 40, -0.3 in increasing order.\nAnswer: -0.3, -0.06, 0, 2\/13, 0.43, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310121322 (base 4) to base 11.\nAnswer: -4651a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:05 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 26. Suppose -s + 2*s = 2*g + 11, 2*s = g + 10. What is the smallest common multiple of s and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -62*o + 62. Let a be q(1). Suppose a = -4*t - 5*c + 1143, -5*t - 5*c + 584 = -841. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1595 or -1591?\nAnswer: -1591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 140977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -2332355.9 and -31.\nAnswer: -2332386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-3 - 4\/28) + 3). Suppose -2*r - 2*b = -2, -2*r - 5*b = -n*r + 35. Suppose 0 = -2*d - 3*d + 60. Calculate the greatest common factor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:25 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, 143, -20 in increasing order.\nAnswer: -20, 3, 23, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (1*sqrt(468)*6 - sqrt(468) - sqrt(468)) + -1 + -5)**2.\nAnswer: -336*sqrt(13) + 7537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*d + 46*d - 22*d + 588 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 16, n: 4}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-17)\/(k\/(k**(7\/4)*k*k)))**35)**(-39) assuming k is positive.\nAnswer: k**(77805\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 19*w**2 - 4*w + 64. What is a(19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 not equal to 312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9884360 and 2088.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 17. Let t be (v\/2)\/(-2) - -1. What is the second derivative of g**3 + 2*g + 0*g**3 + g**t wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 - -107?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -73642, -3 in increasing order.\nAnswer: -73642, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 41 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3202420 (base 9) to base 12\nAnswer: -6a8039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/20 (b) -3\/4 (c) 386 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641807.1 days in milliseconds?\nAnswer: 55452133440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d**2 - 17*d + 40. Let v be f(0). What is the greatest common factor of v and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5854 is divided by 1169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17388 and 3825045?\nAnswer: 1055712420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505*h - 42 = 1501*h - 6*m, 8*h + 5*m - 49 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2299568 + -10549568. Round t to the nearest 100000.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 98\/23297201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22404 + -21936. What is the greatest common factor of 1066 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 0.01, -4, -0.3 in decreasing order.\nAnswer: 97, 0.01, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(d - 2*d**2 - d) - d**2 - 3 + 3 + 0*d - d**2 + 0*d + 0 + 0 + 2*d**2 + d**2 + d**2 + 2*d**2 + 40*d**2 - 4*d + 44*d**2 - 89*d**2.\nAnswer: 3*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by (16\/(-3))\/((-343)\/168 + 2).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/59, -2, -5, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/34177 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -554, 3, -4\/11, 0.1907 in decreasing order.\nAnswer: 3, 0.1907, -4\/11, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from {n: 7, x: 1, a: 10}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 20*f**2 + 2. Let h be w(-20). Solve v - 4*p + 14 = 2*v, -h*p + 10 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04439594 - -387010.85560406. Let g = -387196.8881 + k. Let o = -186 - g. Round o to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p. Let i(m) = -11 + 11 - 2*m. Give i(w(b)).\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -6*i**5\/5 - 9*i**4\/4 + i**3 + 9*i**2\/2 + 3*i + 90. Suppose o(l) = 0. Calculate l.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-2\/7)*p)*p**(-1\/5))**(-2) assuming p is positive.\nAnswer: p**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8 + -1?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -57.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3880899.\nAnswer: 3, 11, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 9*o - 6111. Suppose 679 = 16*l - o. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 86\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/108)\/(-13*7\/(-12831))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93800 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4 + 95813232*c**3 + 95813244*c**2 - 479066176*c + 287439702 = 0.\nAnswer: -3, 1, 47906617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2328 + -1236. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 9*q = 8*q + 3, -24 = o + 4*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11566760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 1068960?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 0, -358 in ascending order.\nAnswer: -358, -7, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 176189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-1\/4))**(-10))**(1\/20))**32)**(4\/11) assuming c is positive.\nAnswer: c**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876381?\nAnswer: 3, 11, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18*-16*(-15)\/(-200)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + 5*(sqrt(220)\/sqrt(11))\/sqrt(4).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 480979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-34)\/10)*35. Let o = n + 17. Let a = 22 - 20. Solve -t = -a*b - o, -12 = -3*b - 5*t + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m**2 + 5*m + 4. Let l(x) = -18*x**2 - 4*x - 3. Determine -4*h(n) - 5*l(n).\nAnswer: 14*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*b = 255*b. Which is smaller: 3\/140 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 728092, 728093, 728094, 728095, 728096, 728097?\n\"Answer: z + 728091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 5. Let h = k + -1. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 7*s + 4. Let d be a(-7). List the prime factors of (d - 3) + 14 + 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -23. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u + 208*u**4 - 621*u**4 + 7652*u**2 - 7657*u**2 wrt u.\nAnswer: -9912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*b - 744 = 209*b. What is the second biggest value in -5, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -694 >= -2809\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than 3365?\nAnswer: 3365.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from bbbdbbbbbdbdbvbvbvvb?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310 - (-9)\/((-18)\/(-16)).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.21 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from eeengggeng?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*p**5 + 38376*p**4 - 102462*p**3 + 93960*p**2 - 34173*p + 4272 = 0. Calculate p.\nAnswer: -1424, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(5 - 99\/22). Suppose -2*i + 4*i = -2*z + 26, -i = 3*z - 47. Let w(c) = 2*c - 5. Let h be w(4). Solve -d*g = -h - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*h - 293715, h - 391603 = f - 5*f. Round f to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 176*x**2 + 384*x + 1440.\nAnswer: 2*(x - 6)**2*(x + 2)*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.0380707\nAnswer: -0.1903535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 11. Let h be r(-5). What is the highest common divisor of 36 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -176, -578, -1358, -2642?\n\"Answer: -21*g**3 - 3*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16*v**3 - 2*v**2 + v - 2. Let b be w(-2). Calculate the greatest common factor of 58 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 + 110*u + 890. Let j(l) = l**2 + l + 1. Let y(w) = -10*j(w) - v(w). Factor y(o).\nAnswer: -4*(o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 3823.\nAnswer: -67\/3823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = -11*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28\/3 - -9. Find the common denominator of g and -19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -97*r**2 + 29. Let j(k) = 194*k**2 - 59. Let q(z) = -3*j(z) - 7*n(z). Find the first derivative of q(f) wrt f.\nAnswer: 194*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppapapapwgpga. Give prob of picking 3 p and 1 g.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26146 + 1 + 16\/(0 + 4). Is 1\/10 + n\/690 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.812 - 2.822. Is 1\/8 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30108 - 16465. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 955.6915ng?\nAnswer: 0.0000000000009556915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231710 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12149*n**2 - 12140*n**2 - 8969*n**3 + 24288*n**2)*((0*n + 0*n - n)*(2*n - 5*n + 5*n) - n**2 + 0 + 0).\nAnswer: 26907*n**5 + 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 30210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2. Suppose 2*h - 4*h + 22 = 0. Let o(y) = 24*y - h*y - 14*y. Determine o(g(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 - 4*o - 9. Let r(q) = 5*q**2 + 2*q + 8. Determine -2*i(z) - 3*r(z).\nAnswer: -3*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21183 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 7*q + 9. Let w be h(-4). Let t(i) = i + 6. Let m be t(w). Let r be (-65)\/(-6) - m\/30. What is the highest common factor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 2*p - 2. Let m(w) = -5*w**2 + 9*w - 9. Let i(b) = 9*h(b) - 2*m(b). Let s = 24 + -12. Let k(d) = -4*d - 9*d + s*d. Give i(k(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:40 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + w**2 - 2*w + (-1 + 1 - w)*(-w - w + 4*w) - 7*w**2 + w**2 + 4*w**2 - 2*w**2 - 2 + 2 as z*w**2 + p*w + h and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 86*v + 5. Suppose 8 = 3*h - h + 5*z, -h + 4 = -4*z. Let x be r(h). Let w = 550 - x. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Suppose -k*d = -16 + 1. Suppose -51 = -4*l - 5*w, l + 2*w = d*w + 15. Calculate the remainder when 27 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/10 of a millennium?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*r - 16*r. Let u(j) = -j + 21. Let o be u(17). Suppose r*w = -k + 9, -w - 5 = o*w - 5*k. Let g(n) = -n + 2. Determine g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34154 + -4?\nAnswer: 34150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -14*w**6\/15 + 83*w**3\/6 - 107*w. Find the second derivative of p(d) wrt d.\nAnswer: -336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 4*t + 3*t)*(5*t - t - 3*t) + (-11*t - 187 + 187)*(-1 + 1 + 2*t) in the form w*t**2 + a*t + s and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 44. Let y = -863 + 860. Sort y, o, 32.\nAnswer: y, o, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216340?\nAnswer: 2, 3, 5, 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -134*a**2 - 407*a + 2. Determine p(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + 2 - (1279 - 1249).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291955803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75 + 9*k - 4*k - 25*k**2 - 2*k - 2*k wrt k.\nAnswer: -50*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*4*-1.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - p**4 + 1 - 1259*p**2 + 3*p**4 + 1261*p**2 - p**3 to the form g*p**2 + n + t*p**4 + a*p**3 + u*p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1.5 (b) -1 (c) -1\/3 (d) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 43*c - 53*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -121?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - b**2 - 5*b + 6. What are the prime factors of z(5)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 26*k**2 - 32 + 12 + 14 to o + s*k + n*k**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.09 * -17.\nAnswer: -52.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 32*d**2 - d**3 + d**4 + 67*d**2 - 34*d**2 - 1 as x*d**2 + u*d + z*d**4 + h + t*d**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 850785144*v**3 + 30 - 850784509*v**3.\nAnswer: 635*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1430 - 5?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12750879 times -5?\nAnswer: -63754395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 34*g = -25*g + 2814. Calculate the highest common divisor of 73 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -4959150?\nAnswer: -4959150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = 5*t - d, -t - 124 = t - 4*d. Which is the nearest to -1\/2? (a) t (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14*o**2. Let l(q) = -4442468*q. Determine l(p(z)).\nAnswer: -62194552*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 57*f - 3*f**2 - 70 + 267.\nAnswer: -3*(f - 3)*(f + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-825)\/(-40))*6\/8. Let f = -4.8 - 0.2. Which is the third smallest value? (a) f (b) -0.4 (c) 0.3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8598, 16902, 25206, 33510, 41814?\nAnswer: 50118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:05 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 11 - -84) + 1 - (-8 - -25).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.9. Let v = s - 0.1. Let t = 26.2 - 22.2. What is the closest to v in -0.3, -3\/2, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140115633?\nAnswer: 43, 49770131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**3 - 2*s. Let g(i) = -47 + i**2 - i - 53 - i**3 + 101. Calculate 2*g(q) - k(q).\nAnswer: 2*q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 54638916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 11*a + 43. Let j be k(15). What is the third biggest value in j, -1\/2, -5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, f: 6, q: 4, z: 1, v: 2}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-9))\/(1*2))\/(30\/(-480)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16248540 + -11250068. Suppose 0 = -p + k + 12701528. What is p rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010111001100 (base 2) to base 11\nAnswer: -4213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 69, 5, -33, -2 in descending order.\nAnswer: 69, 5, 3, 1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - c + 13, k + 809*c = 792*c + 46 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyydywdyyddwdy. Give prob of sequence wd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59916, 59558, 58714, 57180, 54752, 51226, 46398?\nAnswer: 40064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -70.47114 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5035079 is divided by 2120.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y + 20 = 5*v, 2*y + 23 = 5*v. Let l(f) = 55*f**3 + 2*f**2 - 2*f. What is the units digit of l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -207404773 bigger than -829619091\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u - u**3 + 1 - 9*u + 20*u. Let j(d) be the first derivative of -3*d**4\/2 + 7*d - 17. Give -28*c(p) + 4*j(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, i: 1, w: 8}. Give prob of sequence ww.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1250, -2\/11, -0.1417, -3, 5, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -16, -18, -20, -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48251 + -79?\nAnswer: -482ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-196) + 18\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449529447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*b**4 + b**3 - 16*b**2 wrt b?\nAnswer: -1824*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00043 * -5.\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(76))*4 - -1*sqrt(76)*-6)**2*2 + 5.\nAnswer: -128*sqrt(19) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*m = -72*m - 402. Calculate the highest common factor of 268 and m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -76, -188, -336, -514, -716?\n\"Answer: p**3 - 27*p**2 + 4*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31 and -50\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -1356, 55 in decreasing order.\nAnswer: 55, -113, -1356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {h: 2, k: 1, n: 2, x: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -107. What are the prime factors of 217 + (b - (-4 + 5))?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 < 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 - 17755*n**4 + 142430*n**3 + 248890*n**2 - 854025*n + 480465 = 0. Calculate n.\nAnswer: -3559, -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(7\/4))**(-7\/3)\/(o\/(o**(1\/4)*o))**(-1\/34))**(3\/10) assuming o is positive.\nAnswer: o**(-1669\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 54 + 16 - p**2 - 2*p**3 + 27 + 5*p**4 to y + m*p + d*p**4 + b*p**3 + g*p**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -2\/11, 1\/3, -9.8 in decreasing order.\nAnswer: 1\/3, -2\/11, -0.4, -1, -9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.016 + -0.016. Let a = -72.9 + l. What is a rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 183. Determine i(0).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 4*q + 4. Let m be w(4). Suppose -3*f - 3*i = -9, m*i = -0*f + 2*f + 12. Solve f = b + 2*k + 3, -4*k = -2*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32625, -30418, -28209, -25998, -23785, -21570, -19353?\nAnswer: -17134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 + 13 = -r, r = -5. Suppose -o + 3*y + 1 = -2*y, -4*o + 58 = -w*y. Let x(b) = 2*b + 17. Calculate the remainder when x(o) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140568 divided by -926\nAnswer: -70284\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*d = -5*j + 21, 0 = -j + 2*d. Let x be (-2)\/(-4) + (-57)\/j. Let v = 1 - x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oav when three letters picked without replacement from aoooooaavoa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 76*z**2 + 256*z - 240.\nAnswer: 4*(z - 15)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18723\/2 - 3\/8*f**2 - 237\/2*f.\nAnswer: -3*(f + 158)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 5, q: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 5*p - 2*p + 5)*(p**2 - 2*p**2 - 5*p**2) + (p**2 + 0 + 0)*(p + 2*p - 6*p) + 0*p**2 - p**3 + 0*p**2 as g*p + s*p**3 + w + j*p**2 and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, -1.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 732*-0.05238\nAnswer: -38.34216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - 3*y**4 + 0*y**4 - y**4 + y**4 + y**4 + (2*y - 2*y + y)*(y**3 - 3*y**2 + 3*y**2) + 2*y**4 - 3*y**4 + 2*y**4 + 17*y**4 - 12*y**4 + 52*y**4.\nAnswer: 61*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -247590 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 3*r**2 - 3*r + 2. Let j = -16 + 18. Calculate p(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700857?\nAnswer: 3, 43, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**6\/60 + 5*p**4\/12 - 35*p**3\/3 + 44. Let g(w) be the third derivative of c(w). Let a(k) = -k. Give g(a(q)).\nAnswer: -6*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iip when three letters picked without replacement from {p: 6, i: 3, r: 1, y: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1062 and 322.\nAnswer: 170982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z - 2*f, 3*f + 8 = 2*z + f. What are the prime factors of 25*1 - (3 + 3 - z)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/944364 and -181\/2360910.\nAnswer: 4721820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:42 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -415562.\nAnswer: 1246686","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*x - 41, 4*n - 3*x = 149 - 126. What is the highest common divisor of 4208 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, -4, -160, 2, -7 in descending order.\nAnswer: 2, -2, -4, -7, -20, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1500 + 1185. Suppose 19*n - 14*n - w = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6589*a**4 + 1312*a**2 + 5 wrt a?\nAnswer: -158136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.637 to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -18. Let b(y) = 15*y + 13. Let h be b(3). Let a = h - 42. What is the remainder when a is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + -58f?\nAnswer: -5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1141.\nAnswer: -10\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 424.98 + -425. Round v to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q - 3. Suppose 8*j = 9*j - 5. Let m(w) = 2*w**2 - 11*w - 1. Let p be m(j). Let n(y) = 8*y - 2. Calculate p*n(k) + 5*l(k).\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16\/13, 1.9, -7, -2\/17 in decreasing order.\nAnswer: 1.9, 16\/13, -2\/17, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 17*z + 12. Let p = 3 + 1. Calculate the smallest common multiple of p and s(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 2*k + 80. Suppose -f + 5*f = k. Suppose -10 = -2*z + 5*l + 20, -3*z = -l - 32. Calculate the least common multiple of f and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**2 - 172*m + 168 = 0.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:18 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1914)\/35 + 6\/(-10). Let n = -55 - y. Let r = 0.9 + -1. What is the closest to r in 3, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(3 - (-81)\/(-24)). Suppose 2*d - 71 = 25. Calculate the greatest common factor of d and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*c - 148 = 257*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -9*c + 0*c**5 + 0*c**3 - 1\/15*c**6 - 5\/4*c**4 + 0*c**2 + 0. What is the third derivative of k(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 43*d = -c + 189876, 3*c = -3*d + 569688. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4523 - -4543. Calculate the highest common factor of 250 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + 121. Let m be n(6). Factor 4*v**3 + 11*v**2 - 203*v**2 + 3*v**2 + m*v**2.\nAnswer: 4*v**2*(v - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62765185 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 20*x**2 + 15*x + 15. Let b be p(19). What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 = -6. Suppose -y*c + 8 = -x, 0*x - 2 = c - 2*x. Solve 4 - 2 = -c*v, 0 = 5*f - 5*v - 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*n + 19 = 0, 2*w - 202 = w - 40*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: db1b (base 16) to base 6\nAnswer: 1111403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:33 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -24. Let k(j) = j**3 + 9*j**2 + 3*j - 26. What is the remainder when k(-6) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 236*i + i**2 + 402 - 115*i - 3*i**2 - 121*i as l*i**2 + s*i + p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -42.5. Sort -0.4, -10, l, 0.4 in descending order.\nAnswer: 0.4, -0.4, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197076599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2 + 4. Suppose c - 47 - 37 = 0. Let y = -418\/5 + c. What is the smallest value in y, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c - 51*c = -25. Solve -c*w - 10 - 6 = 3*r, 4 = -2*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16494100 rounded to the nearest 10000?\nAnswer: 16490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 376, 756, 1136, 1516, 1896, 2276?\n\"Answer: 380*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-4 + -1 + 0. Let l be 12\/y*78\/(-4). Suppose -7*d + 5*d = -l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 - 6*w - 3. Let a be x(-4). Suppose -p - 1 = -a. Let k(h) = -4*h - p + 4. Let z(s) = -s**2. Give k(z(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + ((sqrt(612) + -2)**2 - sqrt(612)) + sqrt(612))*-1.\nAnswer: -144*sqrt(17) + 3708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50 + 11*n - 42 - 27*n wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -25936.\nAnswer: -5\/25936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -393 divided by 3\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/4 - m**3\/3 + 4*m + 2. Let u be q(0). Suppose -4*n - 87 = -9*n - 4*j, 0 = -2*n + u*j + 46. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100033213301 (base 4) to base 13\nAnswer: -b612c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*r**2 + 28*j**3 - 2*j**2*r**3 + 14*j*r**2 - 6*r**3 wrt j.\nAnswer: -6*j*r**2 + 168*j - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let t(k) = -166646*k**2 + 2. What is y(t(c))?\nAnswer: -166646*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61.076 and 2070.\nAnswer: 126427.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/530616 and 19\/828.\nAnswer: 36612504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 2570*g - 3302450.\nAnswer: -(g + 2570)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + (0 - (1 + -2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*p + 195*p - 62*p**3.\nAnswer: -62*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(280))\/sqrt(7) - sqrt(40))\/(sqrt(128) + (2*sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128) - sqrt(128)) - sqrt(2)).\nAnswer: 2*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77521543*u - 604169652 with respect to u.\nAnswer: 77521543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5939 + -5937.077. Put 1, -0.4, a in increasing order.\nAnswer: -0.4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let i(s) = 43*s**3 + s**2 - 2*s - 2. Let t be i(o). Let n = 54 + t. What is the remainder when 31 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1665402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -39\/76?\nAnswer: -39\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -36.9 and -7.778613.\nAnswer: -44.678613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkjkjjykjuje. Give prob of sequence eujy.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 272?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 + -3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - 32783?\nAnswer: -32782.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322206 (base 11) in base 13?\nAnswer: 15074c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.51 * -20596.\nAnswer: 31099.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 55 = -5*o, 5*b + 656*o + 49 + 0 = 660*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -10. Let o = i + -10. Let u = -0.1 + 0.5. What is the second smallest value in -3, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 * 665.\nAnswer: 345.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**3\/13 - 12098*p**2\/13 - 711636*p\/13.\nAnswer: -2*p*(p + 62)*(5*p + 5739)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1277, -3229, -6483, -11039, -16897, -24057, -32519?\nAnswer: -42283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-15)*(-531)\/(-1947).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*f + 0 + 0 - 1 + 3.\nAnswer: -40*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19)*2)**2 + sqrt(76)*-2 + 2*sqrt(19) + -4 + sqrt(475)*-3.\nAnswer: -17*sqrt(19) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + s - 2, 2*s - 8 = 72*u - 68*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -131, -130, -129, -128, -127?\n\"Answer: c - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 440.8. What is r rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x + 568*x + 845 = -4237 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = m - 5450, 5*m + 31*c - 27178 = 32*c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 60 = -84. Let c(x) = 7*x**3 - 28250 + 28249 - 18*x**j + x + x**2. Give c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-16)\/(-144)*171. Put 3\/5, o, 2\/37, 0.5 in decreasing order.\nAnswer: o, 3\/5, 0.5, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29491769, -29491774, -29491779, -29491784?\n\"Answer: -5*s - 29491764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*6 - 20540\/1027.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -5*z**3\/6 - 2*z**2 - 5*z. Differentiate w(j) with respect to j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqquqqqkqqqqq. Give prob of sequence qq.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 7*y - 4*y**3)*(-3*y - 3 + 3) - 61 + y**2 - 2*y**2 + 81 + 3*y**3 + 4*y**4.\nAnswer: 16*y**4 + 3*y**3 - y**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 2292 = 2184 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) -827 (b) -2 (c) -6\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1289537\/440840 + -2\/11021. What is the common denominator of m and -101\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1789 + 0.2.\nAnswer: 1789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11*u = 343. What is the least common multiple of 10 and 1 + 7 - (-8 + u\/7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -715232 + 1926.\nAnswer: -713306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 3*s**2 + 17*s - 36*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 6. Let u(x) = -x**3 + 6*x**2 + 7*x + 5. Suppose -3*l - 2*l = -5*w - 25, 4*w - 15 = -l. Let p be u(l). What is the units digit of i(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124.4 + 114. Let l = 6.1 + i. Let b = l + 1.3. Put b, 4, -5, 0.5 in decreasing order.\nAnswer: 4, 0.5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c + 6*c - 9*c + (-4 + 1 + 1)*(c + c - c) + 4*c + 2*c - 5*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 9*m + 0*m. Let q(k) = 2*k. Calculate q(n(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 66722099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 18. Suppose 4*l = s + 7, -3*s + 4*s = -4*l + 9. Let f be (-236)\/(-2) - -3 - s. What is the greatest common factor of v and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -390 + 936. Let x = 718 - i. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = -0*t, 3*z - 26 = -2*t. Suppose 0 = 16*i - 12*i - 348. Find c such that 40*c**2 - 48*c + i*c**3 - z*c**4 - 17 - 12*c**5 - 15 - 27*c**3 = 0.\nAnswer: -2, -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**2*k*n**2 - 29*j**2*k*n + 3*j**2*n**4 - 2*j**2 + 9*j*n**4 + 2*k*n**4 wrt n.\nAnswer: 72*j**2*n + 216*j*n + 48*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 5)*(-5*j**4 + 0*j**4 + 3*j**4)*(13 + 6 + 1).\nAnswer: -240*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1c5b72d (base 14) to base 6\nAnswer: 1224301341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114240 and 182452704.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:19 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -2*h + 4, -5*h = -20. Suppose o - 8 = -f*v, o + 5*v = -2 + 22. Is 1 - (o - -1) - -15 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12ac - 14c?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**5\/20 - g**4\/12 - g**3\/6 + 5*g**2 + 89*g + 40. Let q(j) be the first derivative of u(j). Suppose 0 = 4*a - 3*a. Give q(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54906 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j + 2*j)*(22 + 8 - 17)*(4 - 4 + 2*j).\nAnswer: 104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4778 - ((-8)\/24)\/(1\/(-6)). Let t = f + 97324. Round t to the nearest 1000.\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and -0.17?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcjcmj. Give prob of sequence pjmj.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 - 21*b + 21*b - 2 + 0*b**2 - 4*b**2 + 3*b**2 + (3 - 1 - 4)*(-2*b + b**2 + 2*b).\nAnswer: -9*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-63) - 4\/(-7))*1\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6388 - 1385. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 32. Suppose 2*f + 8 = 4*f. Calculate the least common multiple of m and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:47 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvdvvkvvdd. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 - 94 + 3*y + 37 - 33 - 2 - 229.\nAnswer: 16*y**2 + 3*y - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.8 and 0.154838 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125158 + -544644. Let l = -70514 + b. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o - 18. Let u be q(13). Let k be u\/8 + 4\/16. Let l be (k\/9)\/((-4)\/(-24)). Solve -f - 3*f = 3*s - l, 2*s - 3 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40467, 161909, 364335, 647745, 1012139, 1457517, 1983879?\n\"Answer: 40492*g**2 - 34*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -137. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6974325043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(320) - ((sqrt(320) + -1)**2 + sqrt(320))) + sqrt(320) + ((sqrt(320) + 0)*1)**2.\nAnswer: -322 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + (24 + -24 - ((10 - (8 + 3)) + 3))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -15. Let f = 17 - i. Let g be f\/4*(-380)\/(-6). What is the highest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 16*p**4 + p**4 - 7 + 3*p**4 + 3*p + 13*p**4 - 2*p**3 as s*p**4 + v*p + t*p**2 + z*p**3 + g and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, x - 4 - 12 = 4*v. Let n be ((-1650)\/60 - -24)\/((-7)\/2). Sort n, v, 10 in increasing order.\nAnswer: v, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2792 + 2794. Which is the fourth smallest value? (a) 3 (b) 15 (c) 2\/3 (d) -2\/5 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 747\/25 - 30. Which is the third biggest value? (a) -1\/5 (b) 2\/9 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17664 and 2163840?\nAnswer: 4327680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1241000\/35)\/5 - (-78)\/(-182) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970736*r**3 + 2716190*r**3 + 4237495*r**3 + 1928447*r**3.\nAnswer: 9852868*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155576417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -494037*x**2 - 304408 wrt x.\nAnswer: -988074*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/12*1)\/(2\/392). Let k = -91 + v. Find the second derivative of 4*u**4 + 0*u + 7*u - 5*u**4 + k*u**4 wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0845041 and -0.11154.\nAnswer: -0.0270359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -71. Suppose 0 = -3*n + 29 - 11. Suppose -n*g + 10*g = 608. What is the highest common factor of g and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 35. Let n = -26 - -44. What is the remainder when s\/(-14)*-125 + 4\/(-14) is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = -11*g - 3600. Calculate the greatest common divisor of g and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 65. What is o(-13)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22 + 4\/(-2) + 3. Let i = -15 - s. Solve i*q - 4*q = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20348*b + 312336 = -18179*b for b.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 - 36 = 0. Suppose -a + 2 = -h. Suppose -4*b - 42 = -2*f, 2*f + 12 = -4*b + 38. Calculate the remainder when f is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9287 is divided by 917?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586471 is divided by 2036.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -848971 (base 11) in base 13?\nAnswer: -387621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 + 1 = 0. Let i be 2 + (6\/(-3))\/h. Suppose t = i*s - 0*s + 12, -4*t + 35 = s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b - -229?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 49*s**2 + 3*s + 9. Let t be n(-2). Is t less than or equal to 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 305, 307, 309, 311?\n\"Answer: 2*h + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 37*w - 7*w)*(9 + 2*w**2 + 8 - 20).\nAnswer: 72*w**3 - 108*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - t = -1099 - 934, 5*o - t - 10177 = 0. Suppose 4*u - 9*u + o = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 83933420.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-85)\/(-115) + (-4 - (-2 - 1)). Let v = -4.0245 + 0.0245. Which is the second smallest value? (a) 1 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10902, 10899, 10884, 10851, 10794, 10707, 10584?\nAnswer: 10419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 - -7) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9010 less than -53.019546?\nAnswer: 8956.980454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(153) + -3*sqrt(68) - (-1*sqrt(1377) - (3 + sqrt(272) - sqrt(17)))**2.\nAnswer: -2456 - 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 3, p: 1, q: 2, o: 5, e: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**3 + 6*h + 4. Let i = -552 + 553. Let g(c) = -c**3 + c + 1. Determine i*t(d) - 3*g(d).\nAnswer: -3*d**3 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*m + 26 = 0, 2*o + 1 = 3*o - 3*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 3, s: 7}. What is prob of sequence ts?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 0*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 12 = 0. Suppose 5*u + 33 = 3*j, -3*j - k*u - 6 = -2*j. Let h = 23 - j. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l**(-16)*l*l\/(l*(((l**(-6\/11)*l)\/l*l)\/l)\/l*l)*(l**(2\/5)*l)\/l*l assuming l is positive.\nAnswer: l**(-1378\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b)\/(((b\/(b\/(b*b**(-2\/17))))\/b)\/b*b)*(b\/(b**(-1)\/b))\/b**(-6))\/((b**(1\/5)*(b**(-2\/13)*b*b)\/b*b)\/(b*b**1*b)**(-2\/7)) assuming b is positive.\nAnswer: b**(86743\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 378 divided by -126\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 4 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 264*a**2 + 10322*a - 9833. What is n(-216)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7745 and 175?\nAnswer: 173.2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1544250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28115, 28130, 28171, 28250, 28379, 28570, 28835?\n\"Answer: 2*u**3 + u**2 - 2*u + 28114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(-3)\/12*(-35000)\/(-189250) and -37\/3.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8916?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/15399?\nAnswer: -2\/15399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/99824272 and 77\/2448.\nAnswer: 898418448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 2*c**4 + 2*c**4)*(-2*c - 2*c + 5*c) - 136*c**5 + 202*c**5 - 438*c**5.\nAnswer: -370*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 3033*r - 3033*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33227943.\nAnswer: 3, 7, 1582283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13579, -27147, -40707, -54253, -67779, -81279, -94747?\n\"Answer: f**3 - 2*f**2 - 13569*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v + (2 + 0 + 0)*(-2*v + 2 - 2))*(-9*v**3 - 11*v**3 - 14*v**3)*(v + 3*v - 2*v).\nAnswer: 408*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4, -3*z - 3*s = -271 + 37. Let b = z - 72. Find the third derivative of x**2 - 59*x**b - 8*x**2 + 17*x**4 wrt x.\nAnswer: -1008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a**3 + a**2. Let c = -5 + 6. List the prime factors of y(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1600 divided by -320\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1850.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 3*l + 178, -768*s - 66 = -765*s + l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j*j*j\/j**(6\/7) assuming j is positive.\nAnswer: j**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**4 + 14193746*t**3 - 95258529*t wrt t?\nAnswer: 36*t**2 + 85162476*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**4\/12 - 23*d**2\/2 - 25*d. Let k(r) be the first derivative of t(r). Let h(l) = -5*l**2. Determine h(k(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5507*c**2. Let t(a) = -37882652*a**2. Give -27515*k(q) + 4*t(q).\nAnswer: -5503*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-93)\/12)\/((-4)\/1712). Let q = 89530\/27 + j. Calculate the common denominator of 64\/27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m\/(m\/(m*(m*m**(1\/13)\/m*m)\/m)))*m)*m**7)**(22\/5) assuming m is positive.\nAnswer: m**(462\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 330 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o**3 - 472*o**2 + 2672*o + 7008 = 0. What is o?\nAnswer: -146\/7, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (10 + -17) - (-5 - -17))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 17, y: 3}. Give prob of sequence llyl.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*z + 6, -j = -3*z - 35 + 16. Let c(o) be the first derivative of -j*o + 3 - 7*o**2 + 7\/2*o**4 + 4\/3*o**3. Let c(i) = 0. Calculate i.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at most -99.74414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64314\/22 - 116\/319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 4}. What is prob of picking 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 676 + -609. Find the second derivative of 44*g**2 - u*g + 8*g**2 + 61*g**2 - 109*g + 42*g**2 wrt g.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 103. Put 3, z, -3.6, 0 in descending order.\nAnswer: z, 3, 0, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-4)\/(-14599)) - 1\/2. Round g to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -220200?\nAnswer: -220145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*12\/45)\/((-14)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49296, -100218, -152768, -206946, -262752, -320186?\n\"Answer: -814*h**2 - 48480*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 2, j: 1, y: 1, l: 1, v: 1}. Give prob of picking 1 c and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13920 is divided by 3366?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2149 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 27*w - 19*w = 360 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1847232, 3694472, 5541712, 7388952, 9236192?\n\"Answer: 1847240*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*d - 1967, -9*t + 4*t + 2*d + 3283 = 0. List the prime factors of t.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -23. Suppose 4*s - 2*s - v*m - 814 = 0, 3*m = s - 403. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a**2 - 11*a**2 - 1 - 4*a**2 - 1 + 3*a. Calculate y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2157*b*g**3 - 14*b*g**2 + 46*b*g + 16*g**2 wrt g.\nAnswer: -12942*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from qklqfzlzzqqqx.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17879418 rounded to the nearest ten thousand?\nAnswer: -17880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 2. Let p(u) = 3*u**2 - 2*u - 3. Let k(q) = -3*f(q) + p(q). Determine k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 31*n**2 + n + 2.\nAnswer: 31*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001389 to 5 dps.\nAnswer: 0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 94 = 2*p, -5*h + h = 5*p + 184. Let n = h + 25. Let i = -2447\/5 - -478. Find the common denominator of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by (770\/150 - 5) + 2233\/15?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 3 (c) -1.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.2. Put u, -12, -5 in increasing order.\nAnswer: -12, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z + 5. Let y(i) = -i**3 + 12*i**2 - 12*i + 9. Let w be y(11). Let l be g(w). Let d(o) = -o - 3. Give d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5816557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.775 less than -8?\nAnswer: -274.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97675 by -19535.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let f(l) = 56*l**2 + 1058*l. Determine f(p(b)).\nAnswer: 224*b**2 + 2116*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -2*r + 3*d, -180923*r + 180920*r = -d - 43 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 686*p**2 + 23*p - 8*p - 689*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f - 4*r + 11 = 0, -5*r - 17 = 4*f. Let u be 5 + 3*(f + 2). Suppose 2*n - 8 = -u. Is 2 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.42 times 0.303\nAnswer: -0.43026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 7.9 (c) 0.2 (d) -25 (e) 7 (f) -38\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59706, 59707, 59708, 59709, 59710, 59711?\nAnswer: 59712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 492 = -t. Let w = t - -186. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*a*i*o*q**3 - 7*a*i*o + 5*a*o*q**3 + 965*a*q**2 + 35*i*q**3 - 33*o*q**2 wrt q.\nAnswer: 1860*a*i*o + 30*a*o + 210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 95. Let z be q(19). Which is greater: z or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 27*w - 929. Calculate q(28).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*i + 11, -5*z + 14 = -11. Suppose -q = -i*y - 177, 21 = -3*y + q - 244. Is 9 a factor of y\/(-5) + (-2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -4*f + 13*c - 16, -2*f + 4*c - 18 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -145755.8742 to the nearest integer.\nAnswer: -145756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10924804 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*d - 11. Suppose -3*b + 8*b = 15. Suppose -113 = -b*h - d. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k*r**4 + 964626*k*r**3 + 4*k*r**2 - 29399*k*r - 3 wrt r?\nAnswer: -120*k*r + 5787756*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -13. Suppose 4*q - 15 = -i - 1, -4*q + 3*i + 22 = 0. Suppose -q*r = -j - 65 - k, -3*j - 14 = -r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1568)\/(-2058))\/(4\/30*(-40)\/8).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4137044354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*f**2 + (-4*f + f + 2*f)*(3*f - 2*f + f) - 2*f**2 + f - f)*(3*f**3 - 3*f**3 - 3*f**3) + 4*f**5 - 2*f**5 - 3*f**5.\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*((0 + sqrt(2))**2 + sqrt(2)) + -2)*3*4.\nAnswer: -120 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - 2 - (-22 + 29)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 516*f + 5703. Calculate d(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2703 + -2703. What is the nearest to z in 0.2, -2\/11, -6.9, -3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w + 59. Let f be m(6). Let t = f - -37. Suppose 12 = 4*a + 2*v, 0 = v - 2*v + 2. Solve t = -4*s + a - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 10 = -63*g + 4*q, 6 = -5*g + 4*q. Sort -2, -349, 3, g, -1.\nAnswer: -349, -2, -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25724, -25645, -25516, -25337, -25108?\nAnswer: -24829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -25. Suppose -3*t - 5*j - 7 = 20, 4*j + 45 = -5*t. Let g = x - t. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 4*v - 4*v + (-1 - 1 + 0)*(4*v - v - 2*v) - 3 + 3 - v + 0*v - 2*v + v + (-2*v - v + 2*v)*(2 + 0 + 0).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.607 + -22. Round n to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -475861898 and -475861899 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*1*-1 - sqrt(108) - sqrt(108))\/(sqrt(1296)*2))\/(-3*-6*sqrt(216)).\nAnswer: -sqrt(2)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r - 187. Calculate the smallest common multiple of h(15) and 778.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0, -2\/9, -4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-853115)\/((-20)\/(-4)))\/(-8 - -11 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7. Let n = -1 - p. Let g = n + -1. Which is the nearest to g? (a) 5 (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 130 + 29d5?\nAnswer: 2b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeklc. What is prob of sequence lc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 438, 3, -0.4?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14613, -29231, -43851, -58473, -73097, -87723?\n\"Answer: -f**2 - 14615*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 19*t**3 + 108*t**2 + 72*t - 48. Let l(y) = -9*y**3 - 54*y**2 - 36*y + 24. Let u(r) = -11*l(r) - 6*q(r). Factor u(p).\nAnswer: -3*(p + 2)**2*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/14, 3, 0, 1\/4, 0.3, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 97, 214, 377, 586?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*p - 9 = 0, -2*l - l + 5*p = -7. Let s(h) = -3*h + 1. Give s(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 11:30 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3. Let d(a) be the first derivative of a**5\/120 + a**4\/24 + 119*a**3\/3 - 127. Let g(w) be the third derivative of d(w). What is -4*g(l) - x(l)?\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -f + 14 - 172, -3*y - 5*f + 130 = 0. Let g(m) = 12*m - 259. Is g(y) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aabbbbbebbbbv. Give prob of picking 1 a, 1 e, and 1 b.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = -2*c, -2*s = -109*c + 99*c - 10. Solve -3*z = -3*n + 15, -2*z - 1 - s = -3*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 1, -1, 233, -5, 0 in descending order.\nAnswer: 233, 128, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 11*y**2 + 10*y**4 - 24*y - 7*y**4 - 52*y**3 - 29*y**2 + 61*y**3 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*u**5 - 95*u**3 + 85027*u**2.\nAnswer: 9480*u**2 - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 50, 41, 32?\n\"Answer: -9*f + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2924 by -7593.\nAnswer: 2924\/7593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -3, -0.01 in descending order.\nAnswer: 2\/13, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -32*y**3 - 5*y. Let b(x) = 416*x**3 + 64*x. Determine -5*b(m) - 64*i(m).\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m**2. Let w(y) = -390*y. Give w(p(q)).\nAnswer: -7410*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 2*a)*(-2*a - a + 5*a) + (-3 + 3 - a)*(96*a - 541 + 541).\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 843778.\nAnswer: 843778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:57 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (1 + (-2 - -1) + 1). Let q(v) = -v**2 + v. Let z(y) = 6*y**2 + 18*y - 8. Let f(g) = m*z(g) - 5*q(g). What are the prime factors of f(-20)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:43 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*k**3 - 79*h**3 - 18*h**2 - h*k**3 - 24*k**3 - 123 wrt h?\nAnswer: -6*h*k**3 - 474*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-4))\/((-3)\/(-24)). Let b(u) = u**2 - 6*u + 6. Let w(c) = c**3 + c**2 - c + 7. Let f be w(0). Let g(s) = 9 + s + 8 - 25 + f. Give t*g(d) - b(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1 - -6. Let s = 91\/4 - 23. Which is the closest to u? (a) s (b) -0.05 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, e: 2, s: 1}. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 35\/(21945\/(-6232)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2493 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 0*k**2 + 3*k**3 + 1 + 0 + k**2. What are the prime factors of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 37\/(2 + -1). Suppose 3*z - 48 = 6*f - f, -5*f = 5*z - u. Solve -4*v + 21 = -5*g, -z = 3*g + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3725, 7423, 11121, 14819, 18517, 22215?\nAnswer: 25913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-7 - (1 + 9 - 15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/7434 and -101\/1702386.\nAnswer: 1702386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) + 1 + sqrt(325)))**2 - sqrt(325)) + 3 - (sqrt(325) + -2 + 1*sqrt(325)).\nAnswer: -5*sqrt(13) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 314, 581, 928, 1361, 1886, 2509?\nAnswer: 3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b + 12*b + 95 - 28*b - 45*b with respect to b.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4430, -8872, -13324, -17792, -22282, -26800?\nAnswer: -31352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.606 in -0.5, -292, -16.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2 - 98763*i + 296316 = 0.\nAnswer: -32924, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -10*w + 8*w - j - 6*j + 14, -11*j - 150 = -10*w - j for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 19*x - 10.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2327, -4653, -6979, -9305, -11631, -13957?\nAnswer: -16283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 225636*x\/5 + 225634\/5.\nAnswer: 2*(x - 112817)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 754799 less than 754797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:35 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63, -35, -173, -369, -641, -1007, -1485?\n\"Answer: -3*y**3 - 2*y**2 - 71*y + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*a + 95*a - 137*a.\nAnswer: -176*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.9 - 8. Which is the second biggest value? (a) -4 (b) r (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 1. Let d(t) = 3*t. Let i(x) = -6*d(x) - 5*n(x). Calculate i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n + 8*n + 3*n + 6*n - n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2142?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15918 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 62, -5, -3, -97, -2, -1 in decreasing order.\nAnswer: 62, 5, -1, -2, -3, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 - 2443 = -6*o + 104676. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*1*7083\/(-787). Which is the closest to z? (a) -4\/5 (b) 1 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + 5 + -3. Let t = -0.15 + 0.05. Let z = 1 + -1.2. Which is the smallest value? (a) t (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16477661 + -4?\nAnswer: -16477665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 (base 11) in base 7?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + j**2 + j + 1. List the prime factors of m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2373, 11315, 26281, 47271, 74285, 107323?\nAnswer: 146385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8578 - 0.85. Let y = -0.0319 + s. Round y to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955, 3897, 8829, 15751, 24663?\nAnswer: 35565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*z - 725, -5*z + 2*n = -z + 574. Let t = -70 - z. Suppose -t - 52 = -4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1325880, -1325871, -1325862, -1325853, -1325844, -1325835?\nAnswer: -1325826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 609. Let o(t) = -t - 487. Let f(m) = 5*o(m) - 4*y(m). Let q(j) be the second derivative of j**3\/6 - 2*j. Determine -4*f(s) + 10*q(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in 1, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -1660497770?\nAnswer: -1660497769.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-2))\/11*-3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3058268 and -49\/188.\nAnswer: 143738596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjlbjjbbbjj. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 12*h - 2 + 3)*((2 - 5 + 2)*(-4 - 2 + 5) - 8 - 27 + 4) to the form d*h + g and give d.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-8) + (-8)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g - 30. Suppose -5*s - 2 = -12. Calculate the remainder when g is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*v = v - 397, 3*s = v + 1151. Suppose -5*f - s = -1385. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/3)*w)\/(w\/(w*w\/w**(-6)))*w**(1\/19)\/((((w*w**(-6))\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(1067\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7827, 7837, 7847, 7857?\n\"Answer: 10*r + 7817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/13 (b) 2\/5 (c) -3\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + 9*t - 7. Let a be (-2)\/1 + -1*(0 + 2). Let m(s) = 2*s**3 + 5*s - 4. Give a*i(f) + 7*m(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2663, 0.33, -1\/4, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.33, -1\/4, -2663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -104406 + 1.4?\nAnswer: -104404.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 22. Let u be 11\/(-165)*g\/6. Let p be ((-80)\/300)\/(4\/(-10)). Which is the second biggest value? (a) u (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6751 and -3.\nAnswer: 20253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -3621988.4836.\nAnswer: -3621987.4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -13. Suppose -12 = 5*p - p. What is the smallest value in p, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*67\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8655\/1391 - -674\/107. Is 609 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.41787 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 + 18*k + 28. Let q(h) = -19*h**2 + 53*h + 80. Let u(m) = -11*g(m) + 4*q(m). Determine u(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/60 + k**4\/4 + 3*k**3\/2 + 2*k**2. Let t be q(7). Differentiate -7 + t + 2*p + 4 with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crarort. What is prob of sequence ra?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. What is the closest to 2\/3 in 2\/7, 15, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/5 - 21998*k**3\/5 + 527034*k**2\/5 - 2568474*k\/5 + 711180 = 0.\nAnswer: 3, 18, 10975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:40 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 - (-2 + -1 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902966 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 9*y + 24*y - 7*y. Let i(p) be the second derivative of p**3 + 2*p. Determine u(i(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5766 or 0?\nAnswer: -1\/5766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*7\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94551, 189005, 283461, 377919?\nAnswer: 472379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1426, 1481, 1522, 1543, 1538, 1501, 1426, 1307?\n\"Answer: -y**3 - y**2 + 65*y + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*(-4)\/(-4)*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119191 is divided by 119175?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 6*k**2 - 9*k + 10. Let j be l(-5). Is ((-42)\/(-70))\/(1\/j) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211527 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -0.4, 16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/(l\/l**(2\/11))*l*l**2*l*l**(-5) assuming l is positive.\nAnswer: l**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 7. Let g(r) = 4*r - 8. Give 4*g(s) + 3*o(s).\nAnswer: s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*k = 36, -78*k + 83*k = 7*b - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -14*n + 21. Suppose -304 = -5*y - 0*y + n*t, 10 = 5*t. Suppose 5*w - 26 = 3*w. Calculate the remainder when y is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019?\nAnswer: 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 9*o**2 - 10*o + 5. Let u be t(-10). Suppose -32 + 11 = -4*g - 5*c, -5*c = u*g - 25. Solve 0 = -g*m - r - 7, 3*m - 3 = -4*r + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 3*v + 3. Let y(i) = -2*i**2 - 4*i + 4. Let q(p) = 4*m(p) - 3*y(p). Let g(k) = 3*k. What is g(q(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 23 = -289. Let p = -730\/7 - y. Put p, 0.2, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/(h\/h**13))\/(h\/h**(1\/3))**0)**(8\/5) assuming h is positive.\nAnswer: h**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 35*f**2 + 37*f - 52. Let k be i(36). List the prime factors of k + (2 - -12) - 1*-289.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.9 + 76. Let w = -12 + 2. Let c = w + 6. What is the nearest to 0.4 in c, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -1051*h**8\/336 - 62*h**5\/3 + 517*h**2. What is the third derivative of p(d) wrt d?\nAnswer: -63060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559195.\nAnswer: 5, 7, 13, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a9572 (base 13) in base 14?\nAnswer: 49d6d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -17.915. Let r = n + 0.06. What is r rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144896979353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35796662 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96515*n**6 + 20*n**2 + 677*n.\nAnswer: -11581800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 31*u + 34457 - 34466 + (2*u - u - 2*u)*(2 - 3 + 3) - 4*u + 0*u + 2*u - u - 2*u + u + (2 - 1 + 0)*(5*u - 4*u + 0*u) + u - 5*u + 2*u.\nAnswer: 19*u - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 30868845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1860888387 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {t: 1, w: 1, r: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/6*(20826\/312)\/(-89)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12470989 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**2 - 2*t - 1. Let w be v(-2). Let b = -14 - w. Suppose -7 = 5*n - 22. Solve n*j - b = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4463, -8, 5, -6 in decreasing order.\nAnswer: 5, -6, -8, -4463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5*(-16)\/(-56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2206*g**3 - 214*g**2 + 75*g**2 + 139*g**2.\nAnswer: 2206*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, -6 in decreasing order.\nAnswer: 4, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 + 19*o**2 + 1\/420*o**5 - 1\/7*o**3 + 1\/168*o**4 + 0*o. Factor w(s).\nAnswer: (s - 2)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -217, -208, -195?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 38 + 0*q**2 + q**2 - 45. Let p be a(6). Suppose 2*t = 1 + p. Calculate the remainder when 16 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-2*2\/(-4). Let n = 5 - f. Suppose -n = -5*k + 2. Solve -j - 1 = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -1a58?\nAnswer: 1a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 4*p**2 + 12*p - 10. Let v(r) = 0 - r**2 - 10*r + 0 - 7. Calculate the remainder when t(-7) is divided by v(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/72*-4*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let i = 27 - -294. Let n = -320.6 + i. Which is the closest to 1\/5? (a) n (b) w (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 k when four letters picked without replacement from ckskpkppcp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**3 + 0*w**6 + 0*w + 0 - 138*w**2 - 2\/3*w**5 - 1\/210*w**7 - 15\/2*w**4. Find the second derivative of h(o) wrt o.\nAnswer: -12*o**2 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*l + 5*t - t, 5*l + 2*t + 30 = 0. Let u = l + 4. What is the units digit of u*((-2)\/2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1547 + -624. Calculate the greatest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2098*a - 3852. Let i(x) = 701*x + 1285. Let p(w) = 8*i(w) + 3*m(w). Differentiate p(q) with respect to q.\nAnswer: -686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 69\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 59*i - 183. Let f be l(62). Let o(d) = -2*d**3 + 5*d**2 + 4*d. What is o(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201*f**3 + 39*f**2 + 3 wrt f.\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*h - 3313016, -2*z - h + 385876 = 1711080. Round z to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23260 less than -1685811.645?\nAnswer: -1662551.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*n = 127*n - 45. Suppose -3*y - 806984 = 11*g - n*g, 2*g = 5*y + 1344992. Round y to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**31\/o)**(-1\/16)*(o**(-20))**6 assuming o is positive.\nAnswer: o**(-975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/24 and -31\/165740584.\nAnswer: 497221752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15456 divided by 224?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1 - -3)*1. Suppose 0*z - 3*a - 81 = -3*z, -4*a = 2*z - 66. Let h(j) = -52*j - j**2 + 25*j + z*j + 4. Determine h(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2 + 3253484*m + 9760416 = 0.\nAnswer: -813368, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 146, 47, -54, -157?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -742*p - 1524. Calculate the remainder when a(-7) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6779204 smaller than -6779208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -45*g + 6. Let b be c(-7). Let o = b + -185. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3.4 (b) 2\/5 (c) 205 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0189 - -12.0189. Let v = i + -16. Which is the second smallest value? (a) v (b) 2\/19 (c) -3 (d) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 44*p**2 - 83*p - 39. Let j be q(42). Determine y, given that 0 - 6*y**j - 34\/7*y**4 - 4\/7*y - 10\/7*y**5 - 22\/7*y**2 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.37 + 1.4. Let z = r + -0.03. Let u = 0.1 + -0.2. Put z, -3, u in ascending order.\nAnswer: -3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:32 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7758001.\nAnswer: 17, 456353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/20 + 62\/70. Sort -0.3, -1\/9, g, -1\/10 in increasing order.\nAnswer: -0.3, -1\/9, -1\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/((-8)\/24). Let z be (-30417)\/2*(q + 0). Suppose -30583 - z = -k. Round k to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 644\/21 + 12\/9. Find the second derivative of -16*j - 63*j**2 + 35*j**4 + 31*j**2 + i*j**2 wrt j.\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1833 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225751.\nAnswer: 47, 68633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from ncnnknknkknkn.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - 6*l. Let r(x) = 15*x**2 - 13*x. Let f(w) = -13*p(w) + 6*r(w). Let q be (0 + -2)\/(1\/(-2)). Let m(y) = -q*y - 3*y + 4*y + 2*y. Give m(f(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from llfrelfrllllflf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21*i**2 + 7*i + 2. Calculate a(3).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 44*u**2\/3 + 2*u\/3 - 44\/3.\nAnswer: -2*(u - 22)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x - 12 = 0. Suppose -y = -0*y - h, -24 = 3*y + x*h. Let c be (2\/y)\/((-2)\/20). Sort c, -4, 4.\nAnswer: -4, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.5 - -6.5. Which is the nearest to -1\/4? (a) w (b) 2\/11 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020213 (base 4) to base 6.\nAnswer: -33303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/7098 and 121\/312.\nAnswer: 28392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8702 is divided by 4253?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 10.9 (c) -3\/4 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 76. Calculate the remainder when 69 is divided by o(29).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -556 - -548. Sort -3\/7, 4, k in decreasing order.\nAnswer: 4, -3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (19 - (12 - 4)) - (-2 + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -32880\/11?\nAnswer: -32880\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -144*p**3 + p - 850. Let x(s) = -72*s**3 + s - 425. Let h(r) = 2*j(r) - 5*x(r). Differentiate h(y) with respect to y.\nAnswer: 216*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23831998 is divided by 4258?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 14*q**2 + 3*q + 597. Let h(v) = -11*v**2. Determine h(z(d)).\nAnswer: -8624*d**2 - 1848*d - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h - 3 = 43*h - 3*p, -6*h = -5*p + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4377 + 4373 - 3*q + q)*(0 + 1 - 2) as h + l*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/8))\/w**(-30) assuming w is positive.\nAnswer: w**(251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:00 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1 - 8\/(-4). Let y = x + -3. Put y, 3, -5 in ascending order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-1)\/sqrt(6))\/(sqrt(56)\/sqrt(175)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1601, -3200, -4799?\nAnswer: -6398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2. Let y be x(0). Solve 2*j - 4*j = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 148*f + 2906 = -3906 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 4*t = 0. Suppose 2*j + c = -t*j + 6, 2*j + 3*c = -2. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let y(g) = g**2 + 48*g - 196. Let m = -555 - -503. Let h be y(m). Solve -d*i = i + h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8339000 rounded to the nearest one hundred thousand?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2. Let j(u) = 2964*u - 765*u - 565*u - 648*u. Calculate v(j(d)).\nAnswer: -5833176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25.7 times -0.179\nAnswer: 4.6003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21104 (base 10) in base 13?\nAnswer: -97b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4333114 + -2076?\nAnswer: 4331016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + 2*d**2 + 1. Suppose 2*l + 6 = 5*v - 0, 2 = -4*v + 5*l. Calculate b(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 - 9 = -3*q, -3*o - 2*q + 10 = 0. Let d be (-5)\/10 - (3 - (-18)\/(-4)). Let p = o + d. Solve -2*k = 2*m - 10, -2*k + 12 = p*m + m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -964400 or -964304?\nAnswer: -964400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 384837274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -50) + (-6 - (-2 - -5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 25*n - 260. Suppose -z - 1980 = -n*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.391 times 219055\nAnswer: 85650.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -73821617?\nAnswer: -12\/73821617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 15*a + 3. Let h be b(-15). Let y = 10 + -6. Solve -y = -h*o - o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 2*u**3 - u**2 + (5 - 5 + 2*u)*(-u**2 - 8*u**2 + 42*u**2) as i*u**3 + c*u + v*u**2 + o and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 46.42. Let c = -130175 - -130174.41973. Let k = h - c. What is k rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-6 + -4 + 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61336\/7 + -339253\/42. Let i = b + -675. Find the common denominator of i and 71\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, e: 1}. Give prob of sequence eb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.62 + -0.38. Let m = -0.3 - -0.2. Let w = 1.1 + m. What is the closest to 1 in r, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 + c - 20)*(2 - 2 - 1) as d + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u. Suppose -5*h + 1438 = -3*h - 5*d, 3*d + 3633 = 5*h. Let l(n) = n - 729 + h. Determine x(l(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -6790898.\nAnswer: -7\/6790898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-8 + 3))*1. Suppose 3*j - p + 18 = 5*j, 0 = -p. Suppose -u + j = 2*u. Sort a, u, -5 in increasing order.\nAnswer: -5, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 36 = -24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 10*n + 30. Let w be p(5). Suppose -w*z = -z - 48. Suppose k - 2*y - 2*y + 17 = 0, 4*k - 2*y = -z. Is 25 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6) - 0)*-3. Let z be 160\/50 - 1\/5. Let y(j) = -5*j + 5*j + 1 + 4*j**z + 3*j - 5*j. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120884.249 rounded to the nearest 10?\nAnswer: -120880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d + 11. Let b be (-270)\/(-33) + 2\/(-11). Let u be t(b). Suppose h - u = 19. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/48 + ((-7)\/3 - -2). Suppose -7 = 6*x - 37. Is 11 a factor of (-7)\/35 + 56\/x*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32839 + -32818.0881. Let f = m + -20.9. Round f to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-650)\/(-6))\/((-9)\/(-27)). Suppose f - 85 = -k. What is f rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 11 - 10 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1163.86 times -0.5\nAnswer: 581.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 50\/3*(-96)\/(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 25 = -1. Suppose 4*g = r + 6, -4*r + j*g + 4 = -0. Solve -r*x + 4 = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37867\/115 - 149\/23. Let t = f - 322. Factor t*c - 4\/5 + 4*c**2 + 12\/5*c**3.\nAnswer: 4*(c + 1)**2*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006566 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qoooqfoq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = -5*b. Let d(u) = u + 1. Let h(n) = 2*n + 2. Let g(i) = 6*d(i) - 4*h(i). What is g(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 31. Let i be a(-29). Let w(z) be the third derivative of 6*z**i + 0*z**3 + 1\/30*z**5 + 0*z + 0*z**4 + 0. Let r(u) = 2*u**2. What is r(w(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -28?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -4a85?\nAnswer: -4a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3959612 to 1 dp.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -67*b - 7813. Calculate n(-87).\nAnswer: -1984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 598104.6 years?\nAnswer: 5981.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(((-14875)\/(-34))\/(-35) + 3\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2259\/4510 - -2\/2255. What is the nearest to v in -0.4, -94, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1 - (-10)\/2). Let p be 2\/10*4*-5. Sort m, p, -2 in ascending order.\nAnswer: p, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = -4*k + 86, 30 = 2*k - 5*v. Suppose 0 = -k*h + 10*h + 10. Calculate the common denominator of -32\/25 and (-4)\/(8\/485)*h\/(-25).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:07 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*296*(0 + (-3)\/9). Let o = c + -191. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23008.5800011 + 23008.72. Let h = l + -0.14. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from {t: 2, m: 4, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -881*p**2 - 867*p**2 + 1747*p**2 - 309*p in the form o*p + a + i*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 5*g + (-3*g + 2*g + 2*g)*(-2 + 4 - 3))*(3*g**4 + g**2 - g**2 + (-1 + 4 - 2)*(-2*g**2 + 2*g**2 - 2*g**4) - 2*g**4 + 3*g**4 - 4*g**4).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.026 and 427.\nAnswer: 427.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = j. Suppose -4*k + 2*k + 3 = 3*n, 4*k + 21 = 3*n. Put n, j, -3 in ascending order.\nAnswer: -3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:18 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26168*d**6 - 30201*d**2 + 2 wrt d.\nAnswer: 3140160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxaxxaaxxxxxa. What is prob of picking 1 a and 3 x?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1*(-1)\/2. Solve 0 = -o*k - k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 486*g - 494*g. Suppose x - 6 = 3*m - g, 4*m = 0. What is the smallest common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 4:58 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:48 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -1\/2, 1\/15, -2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 - 18*n + 34. Let s(u) = -9*u**2 + 37*u - 69. Let y(j) = -10*a(j) - 4*s(j). Let y(r) = 0. Calculate r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 9. Let o = 44 - 74. Let i = o - -30. Sort v, i, 2 in descending order.\nAnswer: 2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3\/3 - 4*p**2 + 55*p + 110. Calculate the remainder when 43 is divided by c(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**35\/(r*r**34*r)*(r*(r\/(r\/r**(-26)*r))\/r)\/(r**(-3\/7)*r*r) assuming r is positive.\nAnswer: r**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - 7\/6. Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2. Let g(i) be the third derivative of 11*i**7\/180 + 131*i**4\/24 + 166*i**2. Let s(t) be the second derivative of g(t). Calculate s(a(o)).\nAnswer: 1386*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*-1*6 - sqrt(312)) + sqrt(312) - sqrt(312))\/(sqrt(48)\/(sqrt(32)\/sqrt(4))))\/((3*sqrt(432))\/(sqrt(60)\/sqrt(45)))*2.\nAnswer: -14*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426 + 1 - ((-14)\/2 - -6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68880 less than 15?\nAnswer: -68865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -807103 (base 12) to base 15.\nAnswer: -2986b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2\/z)**(-2\/5)\/((z\/z**6)\/(z\/z**(-1\/7))) assuming z is positive.\nAnswer: z**(187\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 108, 0, -4, -3 in descending order.\nAnswer: 108, 0, -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 19*p - 318. Let h(w) = -37*w + 637. Let o(l) = 5*d(l) + 2*h(l). What is the remainder when o(21) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 89661 = -91608 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2)*(-5 + 3 + 1) + 3 - 3 - 3)*(-4*b + 3*b + 3*b) in the form l + c*b and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 77 = 5*b, -2*b - 641 = 2*a - 609 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 + 22*f - 4. Let m be y(-7). Let b = m + -66. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11\/5)*(o*(o\/(o\/(o*o*o**0*o)))\/o)\/o*o**(-16\/5)*o**(-26)*o assuming o is positive.\nAnswer: o**(-142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 3*u - 3. Let l(k) = -14*k**2 + 15*k + 16. Give 11*a(i) + 2*l(i).\nAnswer: 5*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16709*s**2 + 4880*s**2 - 16351*s**2)*(4 - 3 + 1).\nAnswer: -56360*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1 - 1\/3*y**3 - 7*y + 3*y**2. Let b be 2\/6 + (-98)\/(-21). Determine d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18040 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3.5, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -5*c**3\/3 + 4. Let i(a) = 1 - 4*a - 1. Determine i(m(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/13)\/((-36)\/468)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (75\/(-1700)*-17)\/(1\/8). Solve 0 = -s*q - 9579 + 9627 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 118. Let u be g(0). Let f = u + 339. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(3*u - u - 7*u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 7, i: 5}. What is prob of sequence ixii?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.838458088 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b + 7*b - 10*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 603829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 231?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-484)\/(-242)*5*13\/(-1820)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g - 39*g + 31*g.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8029\/15 + 1607\/3. Factor -1\/2*p + t + 1\/10*p**2.\nAnswer: (p - 4)*(p - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)*7\/(-42)*6. What is the third derivative of 2 - 108*z**3 + 16*z**3 + m - 1 + 4*z**2 - 16*z**2 wrt z?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(27\/2)*(((q\/(q**2*q))\/q)\/q*q)**37 assuming q is positive.\nAnswer: q**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 208*s**4 + 5*s**3 + s + 20. Let i(y) = -312*y**4 - 8*y**3 - y - 31. Let z(f) = -5*i(f) - 8*j(f). What is the second derivative of z(b) wrt b?\nAnswer: -1248*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600 (base 9) in base 10?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 32. Let c(p) = 2 - 28*p + f*p - 4*p**2 + 3*p**2 + 5. What is the units digit of c(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 16, 5, 24, 1, -2 in increasing order.\nAnswer: -24, -2, 1, 5, 16, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(153) + 1 - (sqrt(17) + (sqrt(1088) + 1)**2)).\nAnswer: 42*sqrt(17) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-9) - (-14)\/(-18). Which is the nearest to x? (a) -2\/9 (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7394238 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10920 divided by -182.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -335, -10, -1 in increasing order.\nAnswer: -335, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 85.1. Let i = -4 + k. Let l = -0.28 + 0.08. Which is the nearest to -1? (a) i (b) 2\/15 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 - 2738949 + 3*u**3 - 26*u**2 + 2738949.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15071 (base 8) to base 7.\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:04 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87548406 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 6281 + 0*d + 4*d**2 - 6280 - 80*d**4 to z*d**3 + g*d**2 + r*d**4 + h + q*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1922*b**4 + 115*b**3 - 212152*b**2?\nAnswer: 46128*b + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/20, -0.1, 6, 4 in decreasing order.\nAnswer: 6, 4, 3\/20, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 744*c**3 - 11*c + 9. Let t(a) = -149*a**3 + 2*a - 2. Calculate -11*t(f) - 2*y(f).\nAnswer: 151*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 269*p**2 + p - 1. Let v be d(1). Suppose -5*a = -n - 349, v = 4*a - 5*n - 6. Suppose -2*t = -t - a. What is t rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 4)*-4*-1)**2 - -2*(-3 + 4*sqrt(152)\/sqrt(8)).\nAnswer: 1160*sqrt(19) + 24874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21842 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 6:08 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*w - 967, 2*w - 970 = 2*z - 4*z. Let k = w - 279. Let a = 466 - k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*18\/324)\/(1\/(-1))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 3 + 0 - 5. Let t be f(14). Solve 5*y - 13 = t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 41. Suppose -4*l - t = -1, -5*t + 3 = -y*l - 2. Suppose -3*d + 439 = d - 3*m, l = 3*d - m - 328. What are the prime factors of d?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 448*z**3 - 14*z**2 + 12*z - 24. What are the prime factors of t(3)?\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1, -3, 0.3, 5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*g**3*l**2 + g**3*l + g**3*m**2 - 757*g**2*l**2*m**2 + 2*g**2*l*m**2 + 49*g**2*l - 10*g*l*m**2 wrt l.\nAnswer: -104*g**3 - 1514*g**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 231*n + 102. Suppose 0*v + 2*v + 2*j = 0, 0 = -5*v - 2*j + 15. Is z(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 0.2 (c) -40 (d) -5\/8 (e) 3\/5 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031 (base 6) to base 5.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(6*(sqrt(12)*2*-5)\/(sqrt(18)\/sqrt(3)*-6) + 3).\nAnswer: -30*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 405357\/20 + -20272. Calculate the common denominator of x and 81 - (285418\/2520 + -33).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b - 1242. Let u be d(95). Let k(s) = 5*s**2 - 2*s - 6. Let i(y) = 4*y**2 - 3*y - 7. Determine u*k(z) + 6*i(z).\nAnswer: -11*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 + 830072\nAnswer: 830076.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000501033217 to 5 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-192)\/(-288))\/(22\/(-33)))\/(-90)?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvggggvgggvggvgvv. What is prob of sequence ggvv?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 180348307?\nAnswer: 180348310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -44 - 56. Let o = -20 + 30. Calculate the highest common divisor of k and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 19*y - 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 2. Let h be t(-4). Let c be h\/(-21) + (-23)\/(-7). Sort 2, -4, c.\nAnswer: -4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(14\/(-119) + 0)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002542665 to six decimal places.\nAnswer: 0.002543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -15. Let f = 11 + b. Solve 2*n + t - 11 = 3, -t - f = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52918731 and 42?\nAnswer: 740862234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 28653835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 - 17*p**4 + 148*p - 142*p - 3 + 29*p**4 - 11*p**4 as g*p**2 + t*p + v*p**3 + w*p**4 + x and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 - 9612?\nAnswer: -9660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 923714, 1847431, 2771148?\nAnswer: 3694865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 3. Let s be q(2). Let x be 3*(0 + 1\/s). Let l(n) = -n**2 + 8*n - 13. Let v be l(4). Which is the nearest to -1? (a) x (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 231. Let n be c(16). What is the greatest common factor of 59 and n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1051, -2165, -3279, -4393?\n\"Answer: -1114*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 24*s + 27. Calculate the smallest common multiple of i(7) and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0)*(g - 3*g**2 - g) - 3*g**2 - 2*g**2 + 4*g**2 + (0 + 1 - 3)*(g**2 + g - g) to the form j + y*g**2 + t*g and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 3.6. Let i be (-7)\/14 - (-10)\/(-4). Let h be 27\/(-12) - i*(-6)\/(-9). Which is the nearest to h? (a) -2\/13 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4477*b + 35814. Determine x(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*g - 45, 0 = g + 2*d - 0*d + 10. Let z be -284 + 0 + (-13)\/(-65)*10. Let j = -282 - z. Sort j, -4, g, 3 in decreasing order.\nAnswer: 3, j, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 5*sqrt(78)*3) + -2*(sqrt(78) + -3*sqrt(78)))\/(sqrt(60)\/(sqrt(30)\/sqrt(3)) + -5*sqrt(42)\/sqrt(7)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(4 + sqrt(153) + 0))**2*-1.\nAnswer: -10816 - 1536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6287860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 39*s**2 - 195*s + 969. Calculate b(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7705*i**3 + 5559 wrt i?\nAnswer: -23115*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16801 - 16778 + 33579 - 17*r**3 - 6*r**3.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 6*n + 0*n + 3. Let y(o) = -o**2 + 3*o - 8. Let j be y(0). Let b be f(j). Solve 3*x = 3*s + 27, 0 = -2*x - x + 5*s + b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 + 12016*j + 9024016 = 0 for j.\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8178\/(-188)*(1 + (-7)\/3) and 2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 1, k: 1, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:32 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635804.9 rounded to the nearest one thousand?\nAnswer: 1636000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5791609792 and 0.1434?\nAnswer: 5791609791.8566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/33 + 3 + 30\/4235*44 + -2.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.4 (c) 21 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 423 = 11*l. Let m = 126 + l. Is m a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 71*i - 72*i. Suppose 0 = h + 3*y - 11, 6*y = -4*h + i*y + 14. Suppose 0 = -3*n - n. Sort n, -5, -7, h.\nAnswer: -7, -5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -14. Suppose -p*c + 20*c + 32 = 0. Solve 10 = -c*g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18366892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 22*w - 6*w)*(-1 - w**3 - w + 10*w - 6*w).\nAnswer: 34*w**4 - 102*w**2 + 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -124*k**4\/3 + 2*k**3 + 12*k**2 + 489*k. What is the second derivative of s(c) wrt c?\nAnswer: -992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14980\/6 + (-6)\/((-54)\/3). Is (-6)\/(-3)*f\/22 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose -97 - 145 = -22*t. Suppose t - k = -4*i. Is i at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724155038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143 is divided by 407?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -16 - (47 - 40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 91. Let x(h) = 133*h**2 + 29*h - 3. Give t(x(c)).\nAnswer: -266*c**2 - 58*c - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121202201 - -1100220?\nAnswer: -120101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:19 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79\/2 - 45. Let y = 43\/8 + m. Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nmmmmnm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121771\/3404 - -822\/23. Find the common denominator of 39\/370 and v.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/61 and -93\/244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**2 - 6. Give h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q**2 - 2*q**2 + 2*q**2 + (3*q - q + 0*q)*(0*q + 2*q - 3*q) + (0 + 3 - 1)*(1 - 1 - 4*q**2) as n*q + x + s*q**2 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -113\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311074*q = 5*s - 311128*q + 30, 3*s = 3*q - 18 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 11 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/540 and -11\/810.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 24*m - 11 = 0. Which is the smallest value? (a) -2\/7 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 11345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*s + 50 - 78 = 597 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t + 45. Let z be b(8). Solve z*w + 22 = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56.46 + 56.69. Let j(c) = -c**2 + 7*c + 2. Let o be j(7). Let f be ((-4)\/o)\/(-8 - -3). Put -0.5, f, r in decreasing order.\nAnswer: f, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 416325676 and -0.1.\nAnswer: -41632567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 6. Let r be i(-5). Let h(a) = -r - 2*a + 0*a**2 - 1 - a**2. Let t = -3 - 0. Calculate h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0512 - 0.21\nAnswer: -0.2612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r - 30*r = -287112. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31485*s**5 - 11*s**2 + 239*s - 2?\nAnswer: 1889100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -z + 74. Let k be z\/(-14) + (-5)\/((-2310)\/(-513)). Is -1 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3303, -3300, -3297?\n\"Answer: 3*y - 3306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -228, -609, -1256, -2175, -3372?\n\"Answer: -k**3 - 127*k**2 + 7*k - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/141 and -49\/9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m - 2*m + 27*m)*(-5 + 7 + 4) + (-2*m + 0*m + 4*m)*(7 - 6 - 5) as p + x*m and give x.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (108\/(-1782))\/((-2)\/6). Suppose 0*p = -4*p + 2*p. Factor -q*a**3 + 0 + p*a + 4\/11*a**2.\nAnswer: -2*a**2*(a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:17 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxi. Give prob of sequence xi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/40)\/((-3)\/(675\/(-30)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1217200 divided by 2864\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/20 + -2 - (-87)\/(-30))*-2. Solve -28*p + 12 = -30*p, -50 = -5*j + i*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(3 - 0))\/(12\/54). Let d = 27 + h. Suppose -2*n + 5*n - 2313 = d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.58*-66\nAnswer: -236.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*q + 111 = 5*q, 4*l - 564 = 4*q. Suppose -5*f + l = -f. Suppose 2*t + 72 = 10*t. What is the remainder when f is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -266\/5 (b) 1 (c) -540\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/357 and 4\/726019.\nAnswer: 2178057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.074?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 617 + -601. Suppose 4*k - 4*w - 4 = 0, -9*k + 2*w - a = -10*k. Sort 3, -6, k, 2 in increasing order.\nAnswer: -6, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.174 less than 0.006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*3*sqrt(2))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*d + 1)*(-5*d**2 + 476 - 224 - 226) + 5*d - 5*d + 7*d**3.\nAnswer: 22*d**3 - 78*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2. Let c(f) = -f - 93. What is h(c(k))?\nAnswer: -2*k**2 - 372*k - 17298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -239, -473, -707, -941?\n\"Answer: -234*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11886*b*f**4 - 827*b*f + 84*b - f**4 - 5 wrt f.\nAnswer: 142632*b*f**2 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 1. Let b(v) = -9*v - 3. What is 5*b(a) + 21*h(a)?\nAnswer: -3*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 348 (base 11) to base 16\nAnswer: 19f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.3, 34, 1, 97, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 7 = -13*p. Let c(w) = -w**2 + 13*w + 15. Let d be c(12). Let u = d - 13. Calculate the greatest common divisor of p and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/11 - 14*u**3\/11 + 10*u**2\/11 + 150*u\/11 = 0 for u.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278038 is divided by 1570?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i*o*r**3 - 5060751*i*r**3 - o*r**3 - 12*o*r**2 + o + 14*r**3 + 3018 wrt i?\nAnswer: 3*o*r**3 - 5060751*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1016 divided by 52917.\nAnswer: 1016\/52917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -432826*b**5 + 5*b**3 - 44612*b**2 - 161*b?\nAnswer: -25969560*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 100027143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-15)*10\/4. Let c(w) = -4*w + 0*w + g - 2*w**2 + 0. Let x be c(-3). Let y(k) = -2*k**3 + 2. What is y(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - c - 3*c = 0, 3 = -4*y - c. Let m be (-36)\/(-21) + -2 + 289\/1722. Let g = m + -2\/41. Is y at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/(-33))\/((-2)\/(-6)) - 4. Let r = 4\/25 + 422\/175. Let l = q + r. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 36769\nAnswer: 1\/36769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6061 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5\/5 - 8*h**4 - 156*h**3\/5 - 296*h**2\/5 - 272*h\/5 - 96\/5 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a + -74c?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*i + 22, 4*u - 13 = 2*u - 5*i. Let j be 477\/6 + 2\/u. Suppose -5*h + j = z, h + 0 = -4*z - 3. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1455)\/(-126) + 3 + (-4)\/(-14) and -43\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*k + 2389 = 1345. Let p be (3\/(30\/(-4)))\/1. Put -2\/13, p, k in ascending order.\nAnswer: p, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -956 + 1402. Let b = 213 + -189. Is g + (b\/(-4))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8381 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5172\/1*90\/40. Let l = a - 6548. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -1264.\nAnswer: -47\/1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -1067\/12. Let i = 55600\/9 - 6178. Which is the closest to i? (a) 3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148836.6nm to centimeters.\nAnswer: 0.01488366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-974*y**2 - 1174*y**2 - 43193 + 43193)*(0*y - y**2 + 0*y).\nAnswer: 2148*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxzxooe. What is prob of picking 1 z and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.4 + -15.08. Let d = -27.57 + 145.65. Let y = w + d. What is y rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {x: 4, r: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 13 = 3*c - 1, -2*g - c + 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4676*l - 654*l + l**2 + 8181*l + 52*l.\nAnswer: l**2 + 12255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/6 + -1\/2. Let t = -0.28 - 0.22. Let y = 2 + -2.1. Which is the nearest to y? (a) t (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -153, -191, -229, -267, -305?\n\"Answer: -38*p - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-140)\/80)\/(-7))\/(14\/(-210))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**7*r*r)\/r*r\/(r\/(r*r*r*r**(9\/4)))*(r\/((r\/(((r*r**2*r)\/r)\/r))\/r))**48 assuming r is positive.\nAnswer: r**(633\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.2374651 months?\nAnswer: 0.186455425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10.2. Let s = -0.1 - c. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39701977?\nAnswer: 7, 151, 37561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4369000 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6, d: 1, b: 3, l: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -0*j. Suppose j - 3 = -t. Find the second derivative of -2*f**2 + t*f - 4*f**2 + 0*f**2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 5) to base 8\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 + d**4\/2 + 21*d**3\/2 + 13*d**2 + 4*d = 0. What is d?\nAnswer: -2, -1, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195.9998936 + -196. What is c rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1386787 + 199*f + 104*f + 1386792 to the form s*f + u and give s.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 315 = -y + 153, -2320 = -5*y + 5*a. Let g = y + -241. Let z = -80 - -112. Calculate the greatest common factor of z and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 4. Let g be y(-5). Let t(v) = -v**3 + 7*v**2 - 6*v. Let b be t(4). Calculate the highest common divisor of b and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*h = 97567, -3*h - 2*h = 15. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 5, -7, -4, 41 in decreasing order.\nAnswer: 41, 6, 5, 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1523, 3047, 4571, 6095, 7619?\n\"Answer: 1524*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7133*l. Let t(m) = 211*m**2. Give t(u(z)).\nAnswer: 10735614379*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 8. Factor 5*d**3 + 2*d**2 - y*d**2 - 5*d**3 - d**3.\nAnswer: -d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 129*h + 1. Let w(o) = -2*o. Give w(y(u)).\nAnswer: -258*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 975 and 873900.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1891 by 5798.\nAnswer: 1891\/5798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693522 is divided by 361?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/(105\/(-5))) + -4. Let h = -1 - -2. Let n be -16*k\/(-1)*h. What is the greatest common factor of n and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from {j: 1, a: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 3:49 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84.88424ns?\nAnswer: 0.00000008488424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 2100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/3*1\/(-2). Suppose -c - 75 = -o*c. Let z = c + 77. Solve z*n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:32 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 122?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((125\/(-75))\/(35\/(-2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 3*r - 2. Let q be s(-3). Let o = 47 - q. Suppose 4 = -3*w + o. Calculate the least common multiple of w and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 3, -2\/31, 0.1 in decreasing order.\nAnswer: 3, 0.1, -2\/31, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*l**3 - l**2*o**2 + 37*l*o**2 - 5*l wrt l.\nAnswer: 366*l - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + d + 0*d)*(793*d**2 - 1480 - 1591*d**2 + 797*d**2) to the form q*d**2 + k*d + y + s*d**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-150)\/(-60)). Let 2\/5*t**3 + o*t**4 - 2\/5*t - 1\/5 + 0*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134970*v + 76489.\nAnswer: -134970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776 divided by 4.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -0.0052645?\nAnswer: -0.00010529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396195 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:06 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47, 72, 77, 62, 27, -28, -103?\n\"Answer: -10*v**2 + 55*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42487 + -2?\nAnswer: 42485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171957060 by 36.\nAnswer: -4776585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**8\/48 + 7*r**4\/24 + 5*r**2. Find the second derivative of n(i) wrt i.\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 + 121 = 4*h - 2*z, -2*h - 18 = 2*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56871 and 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 18. Let v be i(-9). Suppose 4*h = 5*h - 5. Let c = h - 1. Solve c*u = u - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s. Let y(g) = g**3 - 4*g**2 + 8*g. Suppose -26*i + 4*a = -24*i - 22, 3*a = -6. Let m be 1\/(110\/(-15) + i). What is m*x(c) - y(c)?\nAnswer: -c**3 + c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 2*l**2 - 46*l - 23. Determine f(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5778669 and -46\/27?\nAnswer: 52008021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*i - 6, 3*m + 16*i - 19*i = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81 + 82)\/(7\/3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 - 7*i - 3*i**2 + 7*i**2 + 73 + 75.\nAnswer: 4*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/8 + 59*s**4\/2 + 4869*s**3\/4 + 26725*s**2\/2 - 116875*s\/8 = 0?\nAnswer: -187, -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 10. Let d be b(-5). Let y be 3 - (d - -6)\/2. Solve -5*a - 4*z + y*z = 32, -3*a - 9 = -z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -332, -544, -954, -1628, -2632, -4032?\nAnswer: -5894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5938, 11818, 17644, 23416, 29134?\n\"Answer: -27*l**2 + 5961*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c + 3. Suppose 62 = 4*b - 3*n + n, b + 12 = -5*n. Suppose -143 = -b*u - 0*u. Calculate the lowest common multiple of a(3) and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 6*k - 2*k**3 + 1329*k**4 + 2*k**2 + 4*k - 1327*k**4 + 0*k**3 + 0*k**3 to the form y*k + r*k**2 + o*k**3 + j + x*k**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 162 = 522. Suppose 8*t = 12 + l. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -823894*u*y**3 + u*y**2 - 1012157*u*y - 22*y**3 + 6 wrt y?\nAnswer: -4943364*u - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5531805 and 5900592?\nAnswer: 88508880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2959*p**3\/3 + p**2 - 23*p - 23. Let y be i(7). Round y to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30221, -30225, -30231, -30239, -30249, -30261, -30275?\n\"Answer: -q**2 - q - 30219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 14*i**6 + 4*i**5\/5 - 100*i**4 + 128*i**2 - 64*i + 47. Determine r so that b(r) = 0.\nAnswer: -2, -1, 2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*t = 455, -s + 3*s - 5*t = 245. Suppose -1220 = -97*p + 87*p. Let l = s + p. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7*(-12)\/7)\/((-3)\/(-160))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + d**3 + 0*d**3 + (15 - 8 - 16)*(-1 - 2*d**3 + 1).\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/(y\/y**8))*(y\/(y\/(y*y\/(y**(7\/9)*y))))\/y)**(-28))**(-37))**43 assuming y is positive.\nAnswer: y**(-3519292\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 4*d**2 - 12*d - 12. Let v be a(-4). Suppose -v*r = -168*r + 2100. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2264 and 13448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 - (98098\/(-63))\/(-14). Let n = l - -138. Calculate the lowest common multiple of 5 and n.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 7*x**2 - 8*x - 9. Let n be o(-6). Let f be (25\/n - 1)*-6. Round f to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*21\/(-2). Let q = 10 - u. Suppose 0 = 3*k - 4*x + 6, 27685*k - 27681*k - 5*x + 11 = 0. Sort k, 1, q in decreasing order.\nAnswer: q, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -4 (c) -0.5 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = -184 + 40 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -17*b + 383. Let u(t) = -6*t - 4. What is the remainder when b is divided by u(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6939 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 87 + 321420*n - 321416*n + 39. Give v(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. Let a(t) be the first derivative of z*t + t**3 - 1 - 3\/2*t**2. Find the second derivative of a(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**3 + w**2 - 2*w + 3. Let t(z) be the first derivative of 7*z**4\/4 - 2*z**3\/3 + 2*z**2 - 5*z + 9. Give -5*r(q) - 3*t(q).\nAnswer: -q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/2*20\/(-6). Suppose -24 = -k + y. What is the remainder when k is divided by 35 - (4 + -2)*60\/24?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 3*b**3)*(16*b**2 + 42*b - 42*b).\nAnswer: 48*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)\/((-3)\/9). Let f(i) = -3*i**2 + 1 - i**2 + i + 3*i - i**3 + 3*i**2. Give f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.06 and -0.08 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/5)\/i)\/i**(-2\/3))**(-1)\/((i\/((i*i*i**(-1\/4))\/i))**22\/((i\/(i\/(i*i**5*i)))\/i**(-2))) assuming i is positive.\nAnswer: i**(151\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 100, 189, 304, 439, 588?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*a + 10. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146 and 69788.\nAnswer: 69788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 - 233227656*b\/5 - 6799392440406792\/5 = 0. Calculate b.\nAnswer: -58306914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.082 + -0.2859. Round b to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2398561 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47882 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*x - x. Solve -3*o - x = -7*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + v + 2 = 0, 14991*f - 14992*f - 2 = -v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 12 + 48. Suppose 17*a + 1225 = o*a. Is (4\/(-14))\/(5\/a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:28 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.61*452098.\nAnswer: 1179975.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20106 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3. Let s(r) = -5*r**3. Suppose -3*u + 7*u = 3*k + 14, 5*k = -5*u + 35. Suppose 3*l = 2*q - 0*q - 2, -k*q + 4*l = -2. Determine q*s(x) + 4*v(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -6)*(-4)\/6. Let j(c) = -c**3 + 4*c**2 + 7*c + 2. Let l be j(5). Suppose 2*i - l = -4*v, 5 = v - 4*i + 20. Put r, -3, v in ascending order.\nAnswer: -3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 1 + 415 + -409.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = -3*a. Suppose -20 = 4*u, 0 = f + 5*u - a*u + 6. Solve -t + 2*z = -9, t - f = -0*t + 4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 742026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**12*(u**(4\/21)\/u*u)\/u*(u**12)**(-12\/13) assuming u is positive.\nAnswer: u**(31\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o**2 + 11*o. Suppose 94 = -4*b + 3*a, 296*b + 30 = 295*b + 4*a. Suppose 0*p = -p - 2. Let i(s) = s**2 - s. What is b*i(k) + p*g(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880250?\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205 - 227.2. Let s = 22 + l. Let d = -0.1 + -3.9. Put d, s, 1 in decreasing order.\nAnswer: 1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11091*d + 8 = 11095*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 45*l**2 + 62*l + 1516. Is j(-51) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:26 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5616519 or -5616517?\nAnswer: -5616519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let h(n) = -6*n**2 - 5*n + 5. Suppose 4*x = y + 2, -2*x - 7 = -y - 3. Calculate y*k(z) - 2*h(z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1643*s**2 + 1671*s**2 + 182*s - 182*s.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 6. Let m(a) = 13*a + 213. Let y be m(-16). Determine f(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.94. Let c = 0.26 - l. Let m = c + -0.66. What is m rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + 1)*(-139 - 195453\/(-1425))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-24) + 61901\/84 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -1102?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -448*j**2 - 283*j - 1.\nAnswer: -896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)*i*i*i\/i**(-3\/5)*(i**(2\/9))**(-2\/141)*((i*i\/(i\/(i**(-6\/13)\/i)))\/(i*i**(-3\/4)*i*i))**33 assuming i is positive.\nAnswer: i**(-29986241\/329940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 270*o - 9. Let t be x(-11). Let v be 18\/t*1\/2. Let q = 17539\/1324 - v. Calculate the common denominator of -67\/12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 136*m**4 - 3*m**3 - 2*m - 403. Let a(x) = -138*x**4 + 2*x**3 + 2*x + 403. Let v(u) = -3*a(u) - 2*p(u). What is the second derivative of v(i) wrt i?\nAnswer: 1704*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 49036.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 109?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33578 and 33410.\nAnswer: 560920490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 396?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 538765510 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2279 and 18619?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -44. What are the prime factors of -14*-1*(-511)\/w?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - d = 5*q + 23, -4*q - 3*d + 9 = 0. Find the second derivative of 6*u**3 - 17*u**4 - q*u**3 - 9*u + 30*u**4 wrt u.\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -3 - (11 - (0 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -22974*k + 597239. Calculate s(26).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07098 + 0.0693399. Round g to five dps.\nAnswer: -0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w + 19. Let u(b) = -4*b - 9. Let m = 189 - 183. Calculate m*i(p) + 13*u(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16*x - 1. Let m be h(1). Let n be ((-516)\/15)\/((-6)\/m). Let s(u) = -86 + n - 14*u. Let l(v) = 2*v**2. What is l(s(w))?\nAnswer: 392*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*d - 23, 163155 = -10*d - 5*b + 163215 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - 2*h + 2*h)*(42*h - 448*h - 74*h - 20*h) to the form p*h**2 + x*h + g and give p.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-651*t - 765*t - 211*t)*((-2*t - 1 + 1)*(-1 - 2 + 2) + t - 2 + 2) in the form u*t**2 + b + n*t and give u.\nAnswer: -4881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from xttutqttxttuttxtnno.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*d + 24*d - 4. Suppose -c = 3*z - 2, -3*c = -2*z - d - 4. Solve z = 4*x + x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6023 - -5970. Which is the fifth biggest value? (a) -5\/4 (b) t (c) 3\/4 (d) 0.1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 6*b + 10*b + 12, 16 = -5*i - 3*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4404 = 15*d - 756. Is 43 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016675138 rounded to 6 dps?\nAnswer: 0.001668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 3*a**2 + 9*a - 3. Let o(d) = 6*d**3 + 5*d**2 - 17*d + 5. Let x(v) = -3*o(v) - 5*q(v). What is the second derivative of x(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -7.1, 51, 2 in decreasing order.\nAnswer: 51, 30, 2, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3 + 4*k**2 + 3*k - 4. Let v(w) = -7*w**3 - 4*w**2 - 4*w + 5. Let i(j) = -6*r(j) - 5*v(j). Suppose 2 + 2 = -x. Give i(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 40 = 3*m, 17 = -5*m + 42 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -19*w + 1155. Give f(53).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -27 (b) -1\/5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (23 - 51) - (-2 - (-4 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h + 8. Let o be n(8). Suppose -4*u + 2 = -3*a - 0*u, 5*a - u = o. Solve -a*m = 2 - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4532.\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22234 + 3?\nAnswer: 22241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(847) + sqrt(7) + -1)**2 + sqrt(7) - ((sqrt(7)*-1)**2*5 - -4*sqrt(35)\/sqrt(5)).\nAnswer: -27*sqrt(7) + 970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 + -195. What is the nearest to -2 in -1, -0.02, w, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*i = 914*i + 84 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-4884)\/(-143) - (-4)\/26.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*t + 6892, 2*j - 4*t - 1712 = 3*j. Let h be 6\/(-81) - 236\/j. Sort h, -0.06, -3\/4 in descending order.\nAnswer: h, -0.06, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -1\/3, -15, -24, 207, -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -31?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 2, c: 1, l: 1}. What is prob of picking 1 p and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**3 + 2*t - 1. Give i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h = 25. Let v = -4 + h. Put v, -5, -1 in increasing order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 2. Let s(p) = 1. What is n(x) + 3*s(x)?\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -34. Suppose -5*l + 1204 = 4*h, -2*h - 301 = -3*h - y*l. What are the prime factors of h?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35746?\nAnswer: 2, 61, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0247 - 222.9753. Let g = x - -223.00003. What is g rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/7462 and -31\/14.\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.95t in milligrams?\nAnswer: 512950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333 - -332.9. What is the second biggest value in -4\/7, 5, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)*1 - (-1 + -2). Suppose -2*k + k = -5, 7 = -w + y*k. Put w, 1, -4, -5 in ascending order.\nAnswer: -5, -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4734\/(-1578))\/((-30)\/52)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7616\/(-1190)*(24\/(-28))\/((-132)\/(-105))?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11832 (base 11) to base 14\nAnswer: 6287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 2371*n - 2376*n - 6, -18 = -3*m + 4*n for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/5 (b) -8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5808 to 2 dps.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + 8 + -3 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2093, -2194, -2295, -2396, -2497?\n\"Answer: -101*p - 1992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 388 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8\/9)\/(u**(-4\/11)*u)*u**(2\/9)*u*u**(-20)*u assuming u is positive.\nAnswer: u**(-637\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3207*f**3*u**2 - 77373*f**3 + 1849*f**2*u**4 + 12*f wrt u?\nAnswer: 6414*f**3*u + 7396*f**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (3*sqrt(325) + 5)) + 5 + -1*sqrt(325) - (3*(1 + sqrt(325)) - (sqrt(325) - -4*(sqrt(325) + 1)))**2.\nAnswer: -1301 - 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 462, -26, 3, 1, -13, 5.\nAnswer: -26, -13, 1, 3, 5, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2\/5 - 3416*d\/5 + 729316\/5 = 0.\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - g**2 + 0*g + 6*g - 1 - 5*g. Let t = 11 - 8. Calculate w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-3 - -3))\/(-1). Suppose r*a + 3*t - 12 = 0, 6*a - a - 20 = -5*t. Let -3 + v + 5*v + a*v - 3*v**2 = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Suppose -6*w = -2*w. Let d(o) be the third derivative of 0*o + w*o**3 - 1\/24*o**4 + 0 - o**2. What is c(d(x))?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Find the second derivative of l*q + 2*q - q**4 - q wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 - (5 + -2)) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) -5 (c) -1\/3 (d) 1\/3 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 - 17*v**2 + v - 79*v**2 + 0*v + 2*v**3 + v - 1 as t*v + g*v**3 + l*v**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -5, 5, -2\/923?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 7}. What is prob of picking 3 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 154559688*z - 1493043572166084 = 0.\nAnswer: 19319961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 4*p + 5. Let j be i(-4). Calculate the greatest common divisor of 50 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732942.\nAnswer: 2, 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 40*x**2 + 24*x + 112. Let q be d(-9). Suppose -f + 4*f - q = -5*b, 4*f + b - 4170 = 0. What is the remainder when f is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10231, -20447, -30663?\n\"Answer: -10216*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -240?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-605)\/(-33)))\/((-3)\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 95 - 13. Suppose d = u - 21. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3317792089 is divided by 5765.\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -256*o**3 - 28480*o**2 - 7108*o - 444 = 0?\nAnswer: -111, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15097 - -3444. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -23\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**4 - 18*d + 10*d**2 + 0*d**3 - 19\/20*d**5 + 0. Differentiate t(s) with respect to s.\nAnswer: -57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77604.25ml in litres?\nAnswer: 77.60425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -n - 4*n. What are the prime factors of 2*(2 + n\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t - z = -3, -z = -2. Let q = 13 - -7. Calculate the least common multiple of -2*(0 - 0 - t) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by (-52 - -34)*(195\/(-9))\/5?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72974673 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 416 and 655 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**6*h**(-4)*h**14*h\/h**(-37) assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62307180 by -692302.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054989977 to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -90\/7 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -21420, -36\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 9*p + 2. Let i be t(-6). Suppose -2*q - i = -7*q. Suppose -18 = -z + q*d, -7*z - 3*d + 72 = -3*z. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -194054 (c) 20\/9 (d) -5 (e) 3\/5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -60, 2, -2.\nAnswer: -60, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 33*u**2 + 28*u - 21. Is w(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 835*b - 4179. Calculate o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/13*(-4)\/(-6). Let j be ((-4)\/10*-2)\/((-22)\/(-55)). Suppose -j*n - 4*u + 2*u = -4, -n - 5*u = -6. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -44. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (3*(sqrt(2736) + 0))**2 + -3 + 3 + sqrt(2736)).\nAnswer: -123140 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3214879950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-416)\/(-40) - ((-2)\/(-5))\/1. Let p be 2523\/2 + 2\/4. Suppose p = k*g - 128. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w + 86. Let q be u(-4). Let c(j) = j**3 - 18*j - 4 - 21*j + q*j. Let x(g) = -3*g + 3. Determine -3*c(k) - 4*x(k).\nAnswer: -3*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174517, 174517, 174519, 174523?\nAnswer: 174529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 3*r - 2*r)*(3*r**2 - 698*r**3 - 3*r**2 + 823*r**3) to the form b*r**4 + i*r + c*r**2 + m + s*r**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23080.6611ms in weeks?\nAnswer: 0.00003816246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - (-90 - 23971\/(-131)).\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 442*f**2 - 5021*f - 1019. What is i(-209)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/5 (b) 5 (c) -1\/2 (d) -87\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.67? (a) 3 (b) 10 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 13. Let j be m(9). Let b(y) = y**3 - 5*y**2 - 6*y + 3. Let u be b(6). Solve 0 = -u*w + w + 2*p, -4*p - 9 = j*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - 4 - (-1549 - -1661).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 + 3*w + 2. Let y be i(-3). Suppose 7*v - k - 39 = y*v, 4*v = k + 31. Let h = 11 - v. Solve t - h*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152050887.\nAnswer: 13, 23, 47, 73, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:55 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 644825 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7581210827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42942095 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + m + 9 - 21 = 0, 3*m - 4 = -4*z. Solve 4*u - 2*n - 8 = 0, -u - z*n = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:43 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 7*j - 75 + 1 + 9 = 0, -27*j = 3*x - 22*j - 67 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10*y = -66 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -34. Suppose 0*c - c = -d. What is the greatest common divisor of 32 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 17*v + 449 = 1151 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 50 = 23*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 1457491861244.\nAnswer: 1457491861244.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2.07 (c) -0.07 (d) 8 (e) 0 (f) -2 (g) -0.123\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/(i**(-7)*i))\/((i**(1\/3)\/i)\/i**2) assuming i is positive.\nAnswer: i**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 760 = -45*z. Let x = -68 + z. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - 25*s + 169. Let n be i(-9). Solve -10*d + n = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 43. Let s be (-2)\/(-11) - (-184)\/(-44). Suppose 0 = -4*h - 4*z + 24, 30 = 4*h + 5*z + 4. Sort k, s, h.\nAnswer: s, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 0*w + w)*(-19*w + 0*w + 3*w).\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t + 4*h - 6, 18 = -5*t - 4*h. Let k be 1927\/(-94) + 15\/(-6). Calculate the common denominator of -67\/6 and 15\/(45\/t) + k\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*2304\/240. Let x be (644800\/k)\/(-2 + (-1198)\/(-600)). Round x to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sde when three letters picked without replacement from {e: 5, s: 2, d: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 7 + -2 + -110 + -12.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -686.54 - -711. Let w = b - 26. What is w rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {y: 1, r: 1, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9722*s**4 - 9*s**2 + 506449 wrt s?\nAnswer: 38888*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1519803103 to 4 dps.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1548\/1935*(-1)\/(-4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*s + 4*s - 18, -2*i = -4. Solve -4 = -s*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + (-2*(sqrt(2) + sqrt(24)\/sqrt(12)) - -6*sqrt(2)*3)*2)**2*4.\nAnswer: -224*sqrt(2) + 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -288d9 (base 14) in base 11?\nAnswer: -695a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 3, 599544, 4\/7, -2\/9, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/347 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176\/5 + -35. Let b = 3.4 + -9.9. Let l = b + 7. Put u, -4, l in increasing order.\nAnswer: -4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277\/896 + 3\/128. Let t be (-8)\/(-36) + (-2)\/(-72). What is the third smallest value in 1, u, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*j - 4*k - 2, 2*j - 4*k - 6 = 0. Let r be ((-15)\/j)\/(((-4)\/2)\/(-660)). Let u = 1091 + r. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8990 = -725*b - 945 - 70 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 6600.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-266)\/114 - (-3 - -1). What is the second smallest value in -13, 1, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 965 + -1030. Let g = 59.106 - 0.106. Let o = m + g. Is o less than -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/108)\/((-4630)\/4167)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n + 6. Let x be 1\/(-12) - (-3)\/(-12). Let l = -236819 + 236798. Which is the biggest value? (a) l (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 2}. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000464 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(176) + 3 + 5)*5.\nAnswer: 40 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46 - (-4 + -3 + 5). Suppose 3*j + j = v. Calculate the lowest common multiple of 6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*u + 4*a - 4, u = 2*a + 5. Solve 8*d - u*d = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3686448)\/(-20) + (-77)\/55 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qif when three letters picked without replacement from {d: 4, f: 1, q: 2, i: 10}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3026.44\nAnswer: 1210.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 120*x + 479. What is the remainder when 3438 is divided by l(56)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/18 - 28 - (1\/(-1) + 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 6. Calculate the least common multiple of 33 and d.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.1 (c) 678 (d) -2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/9, 22, -1.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -304*u**6\/3 + 1712*u**2 - 2988*u. What is the derivative of l(y) wrt y?\nAnswer: -12160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16902 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d - 1152 = -70 + 124 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2. Let o(h) = 3*h + 67. Let l be o(-21). Let n(j) = 2*j - 10*j + 8*j - l*j**2. Calculate n(b(u)).\nAnswer: -676*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 256*v + 12650 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*q - 5, -2*d = q + 28 - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3184 - 0.1816. Which is the nearest to 1\/2? (a) 1 (b) -15 (c) u (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 3*h - 3. Let m(g) = -3*g**2 - 8*g - 8. Let k(y) = -3*m(y) + 8*n(y). Let s(q) = -q**2 - 4*q**2 + 0*q**2 + 0*q**2. What is s(k(w))?\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l + 51. Let m be i(-15). Let z = m - 186. Suppose z + 0*x + 2\/5*x**3 - 2\/5*x**4 + 0*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32518, 65128, 97738, 130348, 162958, 195568?\n\"Answer: 32610*o - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10508448 and 0.5184.\nAnswer: 10508448.5184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 0*n)*(0 - 2 + 0 - 3 + 4 - 3 + (-3 + 1 + 1)*(0 - 3 + 4) - 1 + 0 + 0 + 3 - 1 - 1).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.6, 5\/2, 2.1, 5, 2, 0.8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + h. Suppose 2*n + 13 - 17 = 0. Find the third derivative of -5*r**3 - h*r**n - r**3 - r**3 + 4*r**3 wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8318 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49440.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(3)*-1)\/(sqrt(1584) + sqrt(1584)*2 + sqrt(1584)).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 523.3645 - -0.2755. Round t to the nearest integer.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17533 is divided by 438.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 3652.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 86. Let b(z) = -15*z - 13 + q*z - 22*z + 27*z**2. Let l(n) = -13*n**2 + 6*n + 6. Give -6*b(f) - 13*l(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10092*g = 10054*g - 342 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 6*y + 3*y + 14, -318*v - 4*y - 5 = -317*v + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 9:33 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - d + 11836 - 11838 - 479*d**4 - 3*d**2 + 0*d**2 as o + l*d**2 + v*d + r*d**4 + n*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.0139, 1\/4, 19\/5, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 2*v**2 + 2*v + 68. What is the units digit of d(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20*(0 + 2\/8). Suppose -5*i - 3*t = -13, b*i + 23*t - 21 = 22*t. Solve 2*s + 3*a = 3*s, -5*a = -i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0239639 - 850.61?\nAnswer: -850.5860361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -28 in increasing order.\nAnswer: -28, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let n be y(-4). Suppose n*b + 88 = -b. Is b\/(3 + 33\/(-9)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-30)*4\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28516050 is divided by 14258008?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*s + 99*s - 1 + 3 - 2.\nAnswer: 387*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 12*j - 39. Let a be q(9). Let z(f) = f**3 + 10*f**2 - 24*f - 15. Let s be z(a). Sort s, 5, 0, 1.\nAnswer: s, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12709?\nAnswer: 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (240\/32)\/(3\/18) and 70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.6 (b) -0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 - 69*b + 324 = 0 for b.\nAnswer: -27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 570 = -w, 6*d + 1 = 5*d. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 16 - 6*q**2 + 4*q**3 - 4*q**2.\nAnswer: 4*(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 - 4*z**3\/3 + 15*z**2\/2 + 24*z. Let l be i(3). Suppose l = 6*f - 13*f + 1309. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/63 and -43\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 32. Suppose g*p - 32*p - 565 = 0. What are the prime factors of p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*o*t - 45*d**3*o - 100*d**3*t**2 + 21*d**2*t - d*o*t**2 - d*o*t + 2*d*t**2 - 6*o*t wrt d?\nAnswer: 12*o*t - 270*o - 600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.4, -3\/140, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 16. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 512*c - 5848. Let x(o) = 43*o**2 + 6*o - 6. Let u be x(4). What is the least common multiple of b(12) and u\/18 + 2\/(-9)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170 - 97. Suppose -4*c = 5*n - 93, -4*n - m = -4*c - 5*n. Suppose -7 = -4*s + c. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 71754?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 272108 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 451.06?\nAnswer: -456.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*i**2\/7 + 48528*i - 61764\/7.\nAnswer: 3*(i + 10294)*(11*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 1\/15*m**6 - 3*m**2 - 4\/3*m**3 + 0 - 5\/6*m**4 - 1\/15*m**5 + 0*m. Find q such that n(q) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -3.7.\nAnswer: -4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23480649*y - 176805537.\nAnswer: -23480649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.893 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122.3 minus 13?\nAnswer: 1109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/13137 or 1?\nAnswer: 13\/13137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + -4 - (sqrt(3) + sqrt(9)\/sqrt(3) + 0)**2.\nAnswer: -16 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 13) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -8, 9 in ascending order.\nAnswer: -8, -2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*f + 1, -3*w = f - 19 - 0. Let y = w - 4. Suppose -r - 1 = -a, -15*a + 10 = -11*a - r. Solve 0 = m - y, 2 = h + 2*m - a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 36*f**2 - 14*f - 32. What is the tens digit of j(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -47\/210*o**7 - 17\/30*o**5 + 0 + 0*o + 0*o**4 + 0*o**6 + 35*o**2 + 0*o**3. What is the third derivative of w(n) wrt n?\nAnswer: -1128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 491307088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1679 = 2*u - 17650, -2*i - 2 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.0818 and -1.\nAnswer: -6.0818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-3)\/(-2))\/(-1))\/((-9)\/24). Let f = -2 + r. Let d(b) = b. Let t be d(0). Sort t, 5, f.\nAnswer: t, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 + 3*o - 7. Let s be l(-5). Solve 0 = -g - q + 3 - 1, -4 = -s*g - 2*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10124014 (base 5) to base 13\nAnswer: 2ba24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582965745 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -258826, -256106, -253388, -250672?\n\"Answer: -m**2 + 2723*m - 261548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-19)\/w)\/w)\/w**(-2\/13)*(w**(-2\/13))**16 assuming w is positive.\nAnswer: w**(-290\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*x + 23. Suppose -3*j + x*j = 0. Suppose j = 4*b - 4*m - 24, -5*b + 5*m = -2*b - 28. What is the remainder when 1 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 7. Let i(c) = -5*c - 8. Let m = 99 - 97. Suppose 0*k + k - 14 = 4*t, m*k + 4*t = -32. Let v be -7*(k\/(-4) + (-5)\/2). Give v*q(u) - 6*i(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k = -44*k + 216. Put -4, -21, k in increasing order.\nAnswer: -21, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 274*w\/11 - 556\/11.\nAnswer: 2*(w - 139)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 divided by 42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 + 12 = 0. Let p be (y\/(-6))\/(1\/(-8)). Suppose p*f = -4 + 12. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 10, k: 5, u: 1}. What is prob of picking 1 u and 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -1 - 171*-22807. Suppose 4 = 2*k + 2*y, -3*k = 6*y - 2*y - 8. Suppose 2*f - f - r = k. Round f to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6505, 23007, 50519, 89047, 138597?\n\"Answer: v**3 + 5499*v**2 - 2*v + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1298552333, -1298552321, -1298552295, -1298552249, -1298552177, -1298552073?\n\"Answer: w**3 + w**2 + 2*w - 1298552337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/15 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + ((-44)\/(-42))\/(7\/(-357)). Let g = h - -49. Which is the closest to -2? (a) -2 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -1, 2, 51 in descending order.\nAnswer: 51, 2, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4, 2*r - 6*g - 1 = -3*g. Suppose 10 = -2*v, 0 = -r*l + 3*v + 184 - 7. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 529, 1060, 1579, 2080, 2557, 3004, 3415, 3784?\n\"Answer: -m**3 + 538*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -50.9999963. Round c to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 - 81271*p**2\/4 + 206400403*p\/2 + 103205281\/4 = 0 for p.\nAnswer: -1\/4, 10159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {a: 1, h: 1, w: 4, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.9946 + 0.0554. Let y = o + -15.1. What is y rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 1 = -13*r + 11*r, 0 = -4*o + r - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h**3 + 16*h**2 - 11*h - 5. Let z(s) = -2*s - 4*s**3 + 1 + 5*s - s - 3*s**2. Suppose -204 = 36*v - 276. What is v*r(q) + 11*z(q)?\nAnswer: -2*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.92 (b) 2 (c) 0.0078815\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11024 + -11038 - (22 + 0\/1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 142292*t - 119.\nAnswer: -142292*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 9*w**5\/4 + 45*w**4\/2 + 83*w**3 + 285*w**2\/2 + 459*w\/4 + 35 = 0.\nAnswer: -4, -7\/3, -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346436 + -107?\nAnswer: -346544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 4. Let h be u(-3). Suppose b - 2 - h = 0. Let t be 15 + (-4)\/(5 - 1). Solve 34 - t = b*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125\/4 - -31. Let g = r + -1\/4. Let l = 1892 - 1894. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2982 - 3004. Sort -6, 3, j, -2 in increasing order.\nAnswer: j, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-441))\/((-4)\/7).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 361 + 337. Solve 3*m + 2*t = 3*t + 1, 7 = p*m + 2*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 2*o, -o - 3*w + 19 = 2*w. Let a(q) = 7 + 12*q + 2 + 4 - 13*q. Let h be a(o). Solve 4*r + 26 = 2*p - 0*p, -2*p = 5*r + h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/299 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17649003 is divided by 402.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkohkkhoooohho. What is prob of sequence kooh?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -1333300022?\nAnswer: 1333300130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101131 (base 4) in base 11?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (-435)\/4. Suppose -2*h + w = 4*w - f, -307 = -5*h + 4*w. Suppose 3*x = -2*n + h, 5*n + x + 4 - 119 = 0. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 282\/59 + -1305\/236. Put 4\/11, -3, r, -5 in increasing order.\nAnswer: -5, -3, r, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -69b5288?\nAnswer: 69b5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (11 - 23 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (204\/9)\/(4\/18).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 457604*d**3 - 47467*d.\nAnswer: 2745624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -21333.\nAnswer: 5\/21333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3072888 - 6.019?\nAnswer: -3072894.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbrbrlbrb. Give prob of sequence rlbb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7961*o**3 - 2*o - 2. Is x(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1246652 and 2?\nAnswer: -2493304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-18))\/((-5)\/(-3) + -2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1\/2, -332, 3\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.34 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46019217 to the power of 1\/2, to the nearest integer?\nAnswer: 6784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278097.\nAnswer: 3, 92699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13) + 0 + sqrt(13) + (sqrt(13) - (-4 + sqrt(13))))**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 176. Let n = -0.09 + -4.91. What is the closest to -1 in n, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, 5, -2\/73, -4 in decreasing order.\nAnswer: 5, 3, -2\/73, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2303046, 2303016, 2302982, 2302944, 2302902?\nAnswer: 2302856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/2 + 145\/54. Calculate the common denominator of o and -53\/384.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12303012 - -10?\nAnswer: 12303022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwwwwwwiiwiwxxi. Give prob of sequence wiw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*o + 95. Let y be (-210 + 2)*(3 + 9). What is the remainder when o is divided by 4\/(-22) + y\/(-176)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -29 + 7*t + t - 59*t**2 + 15*t**2 - 17*t. Let n(m) = -11*m**2 - 2*m - 7. Let q(k) = -2*b(k) + 9*n(k). Differentiate q(u) wrt u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*f - 3*s - 0*s, 4*f - 28 = 4*s. Solve -h + 2*h - 2 = -f*i, 17 = 5*h + 3*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00328471341 rounded to 5 dps?\nAnswer: 0.00328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/23, -1\/6, -1, -0.1 in increasing order.\nAnswer: -1, -1\/6, -0.1, 9\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3563\/15 + 1161\/5. Which is the second biggest value? (a) n (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**2 - 156*f + 10. Let l(b) = 7*b**2 - 77*b + 4. Let x(n) = -10*l(n) + 4*v(n). Factor x(w).\nAnswer: -2*w*(w - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i. Let a = 15 + -9. Let o(k) = k**2 + 5*k**2 - a*k**2 + k**2. Give o(b(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -13. Let l = -9 + 18. Suppose 78 = 3*r + 3*o, -3*r = 4*o - l - 69. What is the remainder when r is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 12 = 16*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1122 and 131373.\nAnswer: 4466682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Let v = 0.7 + -0.4. Let w(g) = -2*g**2 + 8*g + 9. Let t be w(5). Put t, k, v in ascending order.\nAnswer: t, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 1570431*s\/2 - 1570430.\nAnswer: -(s - 3140860)*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from {a: 2, q: 1, k: 6, r: 1, o: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p - 1. Let s be g(2). Suppose 5 = -4*w + s. Solve 3*j - w*u - u = 3, 2*u + 3 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 456\/32*176\/6. What is the highest common divisor of l and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4370 = 252*g + 24*g + 161*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4738309 kilometers in centimeters?\nAnswer: 47383.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37637869 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {p: 9, z: 7, b: 1, h: 2, u: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 1\/2*m**2 + 0*m + 28. Let n(z) = -7*z. Give n(c(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10790890\/39 + -276720. Let s = 8011\/234 + l. What is the common denominator of s and -43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 7*o**3 - 9*o + 11*o.\nAnswer: 7*o**3 + 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t - t**3 + t - 3*t - 8*t**3 wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156000)\/(-20280)*13\/(-2)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9293706 to the nearest integer?\nAnswer: 3049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 30 = 0. Let c(s) = -s - 9. Let x be c(-11). What is the greatest common divisor of w and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221076?\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -3\/7 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((30 - 10) + -39) - (0 - 19).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let m be r(1). Let c(y) = -2*y - 3*y + y**2 - 6*y**m + y**3. Let v(s) = -s**2 - s. Give 2*c(n) - 10*v(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*y + 18, -4*k + 0*k + 5*y + 17 = 0. Is -2 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x + 4*x + (0*x - 4*x + 6*x)*(0 - 1 - 1) - 173*x - 100*x + 339*x - 1.\nAnswer: 65*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5497912 minus 316?\nAnswer: -5498228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*k**3 - 166*g**3*k**2 - 21*g**3*k - 49224*g**2*k**3 + 7*g**2*k wrt g?\nAnswer: 24*k**3 - 996*k**2 - 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9893 - -9973. What is the greatest common factor of c and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 - 5*f**2 + 3*f**2 + (0*f - 2*f + f)*(68 - 68 - 3*f))*(f - 3*f + 6*f) to b*f**2 + x*f**3 + j*f + q and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*d**2 + 0 + d + 1\/3*d**3 = 0. What is d?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9\/4)*p)\/p)\/p**(1\/13))\/(p**(2\/13)*p**6) assuming p is positive.\nAnswer: p**(-441\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006388 to 6 dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 0. Let a be (2 + j - -1)\/3. Let h = -4.1 + 0.1. What is the second smallest value in -1\/5, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -21. Solve o + 11 = -5*z, -q*o - 5*z + 3 - 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 5738229.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94903 to three decimal places.\nAnswer: -0.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85.5353 and -0.05?\nAnswer: -4.276765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.35 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/729 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) - (3*sqrt(220) + sqrt(220))) + sqrt(55))*-6)\/(1*sqrt(45) + sqrt(60)\/sqrt(3) + sqrt(5)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k**6\/80 - 5*k**4\/4 + 23*k. Let r(n) be the third derivative of f(n). Let s(j) = 2*j. Determine s(r(m)).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36127 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-726)\/(-2) + (-1 - -4). Let a be (n\/(-5))\/(9\/(-60)). Let z be (a\/(-12))\/((-2)\/(-300000)). What is z rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*v - 4. Let j be ((-6)\/12)\/((-1)\/v). Solve -3*c = j + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(76\/(-4))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 63 - ((102 - 103) + (-2 + 0 - (-17 + 17)))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -28. Suppose -g + z = m - 4*g, 0 = -3*g - 3. Let u = -56 - -38. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 7*u**2 - u**2 as s*u + v*u**2 + x and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:34 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 328 + -322. Solve f*v - 12 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 75*o**4 + 2 + 12*o + 8*o - 18*o - 226*o**4 to the form g*o**3 + z*o + w + b*o**2 + r*o**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11080, 10, 2\/27 in descending order.\nAnswer: 11080, 10, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 943*k**2 + 60*k**3 - 12 - k + 12 - 943*k**2 in the form s*k**2 + d*k + l*k**3 + p and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 39. Suppose 5*y - 265 + 20 = 0. What is the remainder when y is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + g + 2)*(-26 - 83 - 80).\nAnswer: -189*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 40. Give s(-10).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + 18. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 714680*q**2 + 1429380*q.\nAnswer: -5*q*(q - 2)*(q + 142938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - g**2 + g**2 + 3*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 51 = r, -k + 5 = 2*r - 18. What is the highest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y + 2. Let q be t(6). Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.06 + -17.06. Which is the closest to 0.1? (a) -0.5 (b) 0.03 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2965 + 2969. Let y(s) be the first derivative of 0*s - 2\/3*s**3 - 2\/7*s**2 - 1\/21*s**6 - 2\/7*s**5 - 9\/14*s**w + 3. Suppose y(g) = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 0.2, -4\/5, 1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than -2\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 33. Which is the closest to -1? (a) -26 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 3*q + 4. Suppose -4*a + 46 = 18. Let w be (-2)\/1 - (-13 + a). Let o be s(w). Solve o = -2*p - t + 5*t - 4, 3*p + t = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2033, 3493, 4953, 6413?\nAnswer: 7873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 2416669?\nAnswer: -2416670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**2 - o + 14*o**2 + 9*o**2 + o + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -2\/11, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, -2\/11, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -179400.8 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.95307 - -0.04693. What is the second biggest value in 0.4, d, -32\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (1 + 0 + sqrt(1331)))**2 - ((sqrt(11) + sqrt(11) + sqrt(1331)*-1)*-3)**2.\nAnswer: -8018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -1\/30*q**4 + 2*q + 0*q**2 - 1\/15*q**3 + 3. Let f(z) be the first derivative of n(z). Factor f(o).\nAnswer: -2*o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 + 1\/(-5). Let h(u) be the second derivative of 0*u**2 + b - 1\/12*u**4 - 1\/3*u**3 + u. What is q in h(q) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 21 - -26) + 4 + (-2 - 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3440 - 3440 - 66*t**2.\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 14*f + f - 3*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -41 - (-87)\/(-5)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*s + 6735 = 0, -579 = 5*k - 2*s - 7335. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -13)*-6*9\/63.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*n + 4*p, -p + 3 - 7 = 0. Suppose n*f - 4 = -0*f. Find the first derivative of -3 + f*j**3 + 3 + 1 wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3452 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -278*t**3 - 5*t**2 + 7*t - 6687796 wrt t?\nAnswer: -834*t**2 - 10*t + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/9 - 9414*k - 169444\/9 = 0. Calculate k.\nAnswer: -42361, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/2716)\/2)\/(46\/322).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 97795889.\nAnswer: -39118355.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-27) - (-114)\/27. Suppose 3*v = -0*r + r - m, 2*r + 22 = -4*v. Sort -5, v, 4 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/23 and 7 + (-13)\/(312\/460)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 874 and 27892.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524930 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:11 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14237?\nAnswer: 23, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(5))**2 + 3 - (sqrt(15)\/(sqrt(3) - sqrt(192)) + 1).\nAnswer: -68 - 209*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 + 21 = 147*j + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 41009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -33.5823 and -1.\nAnswer: -34.5823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 10\/7, 0.3 in decreasing order.\nAnswer: 10\/7, 0.3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723528?\nAnswer: 2, 17, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-212)\/(-159))\/(86\/(-84) - -1). Let a = -53 - d. Solve 0 = 8*l - a*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/20 + 64\/(-80). Determine a, given that -3\/5 - 6\/5*a - p*a**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/108*580 + 2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 465*p - 13. Let j(d) = 211*d - 6. Let y(v) = 13*j(v) - 6*x(v). Let q(n) be the second derivative of -n**4\/4 + 4*n. What is q(y(h))?\nAnswer: -6627*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x - 164 = 0. What is the first derivative of -158 + x - 12*m**3 - 17*m**3 wrt m?\nAnswer: -87*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 144*g**5 + 323184*g**4 - 23865404*g**3 + 82731024*g**2 + 29571776*g + 2519808 = 0.\nAnswer: -2316, -1\/6, 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 172, 731, 1664, 2971, 4652?\n\"Answer: 187*d**2 - 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -10. Let o = 36 - 21. Let f = o + l. Which is the nearest to 0? (a) 3\/5 (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-14) - (-14)\/20. Let c(h) be the first derivative of 0*h + 1\/10*h**2 + a*h**3 + 7. Determine r, given that c(r) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3239 = 3*q, -q - 18 = 2*b - 1081. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 1. Let o(s) = 2*s - 2. Let k be o(6). Let u = -7 + k. Put u, -4, a in descending order.\nAnswer: u, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 20 = 4*j. Let w(b) = -b**3 - 10*b**2 + 17*b - 3. Let g be w(j). Suppose -i = 4*i - 45. What is the greatest common factor of i and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30775\/1500*15 + (-1)\/(-4). Do 1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 2*m + 4*m)*(-3 - 2 + 4) + 3*m + 2*m - 4*m + (2 + 0 - 1)*(-5 + 5 - 2*m) + (2 + 3*m - 2)*(7 + 2 - 18) - m - 3 + 3 in the form q + x*m and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 11*u + 9. Let a(z) = -z**2 + 6*z + 4. Let r(x) = -5*a(x) + 3*d(x). Let j be r(4). Suppose -j*b = -b - 174. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 22*t**2 + 63*t + 17. Let c be n(19). Let i = 19 + -13. Suppose 1367 = i*a + c. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/m**(-3\/14))\/m)\/m**(-2\/3)*(m\/m**(1\/6))\/((m*m*(m\/(m\/(m**0*m*m)))\/m*m)\/m) assuming m is positive.\nAnswer: m**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 5*c**2 + 8*c + 4*c**2 + 10 + 4*c**2. Let d be r(-7). Suppose 70 = 4*g - o - 69, -d*o - 102 = -3*g. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -140 (b) 10 (c) -0.1 (d) -3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from anzdc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 62 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.4 (c) 1\/10 (d) 8 (e) -5\/62 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 355637. Let a(w) = 2*w. Give g(a(u)).\nAnswer: 4*u**2 - 355637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 - 4*p - 4. Suppose -5*c - 5*o + 10 = 0, -10*c = 6*c + 2*o - 60. Give y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132484 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 24*l**2 - 8*l - 39. Let c be b(-24). Let i = -153 - -301. Suppose 3*k - i = -97. What is the highest common divisor of c and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 192 = -6*w. Suppose -4*h - 49*b + 46*b + 433 = 0, 0 = -5*h - b + 533. Let q = w + h. What is the remainder when 22 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293480 - 74082 - 652846 = -204*g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w**2 - 4*w - 1. Let h be a(-4). Let d = 200 + h. Calculate the remainder when 12 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141596241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 0*f)*(4*f - f - 2*f)*((f - 5*f + 3*f)*(0 + f**2 + 0) + 0*f**3 + 2*f**3 + 0*f**3).\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13985657.\nAnswer: 7, 1051, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*-4 + 0 + 3. What is the second derivative of -41*b**3 - 36*b**2 + 21*b + 18*b**2 + 18*b**v wrt b?\nAnswer: -246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4)*8\/(1728\/24)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 - ((-6)\/4 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 5*h. Let t(a) = 2*a**2. What is t(o(x))?\nAnswer: 2*x**4 + 20*x**3 + 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93.59 - 0.01.\nAnswer: 93.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102980 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x - 231 = -35*x - 3*g, 4*x - 307 = -5*g. What is the lowest common multiple of x and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156923 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 2:56 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 200*p**3 + 9*p**2 - 3*p + 286. Let f(o) = -201*o**3 - 12*o**2 + 4*o - 284. Let y(j) = -3*f(j) - 4*t(j). Differentiate y(a) wrt a.\nAnswer: -591*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 184 = -56. Suppose 59*o = q*o - 59. What is the remainder when o is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (1\/2*-6 + 4). Put 5, -3, 98, t in descending order.\nAnswer: 98, 5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/2 - -1. Sort 2\/11, 0.7, g, 0.1.\nAnswer: 0.1, 2\/11, 0.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 934265?\nAnswer: -4671325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - -2*(3 + -2). Let z(m) = -2*m - 4. Let b be z(p). Suppose j = -1 + b. Solve -3*u = -4*c + 8, j*c - 5 = -4*u + 6*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -231. Let h = -86 - k. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-5)\/(-75)*1*-9 + -23\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -249, -250, -251, -252, -253, -254?\n\"Answer: -q - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(11 - 1). Suppose 4*s - 11 = -3*m, 4*s = 5*m + 11 - 40. Suppose -2*k + 2*a + v = 0, -11 = -m*a + 9. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1196 - 645. What are the prime factors of a?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 14*f - 13*f + 31)*(1 + 1 + 0 + (-6 + 1 + 3)*(0 + 2 + 0))*(-4*f + 3*f - f) as o + n*f**2 + p*f and give p.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j. Let m(f) be the second derivative of -f**4\/2 - 22*f. What is v(m(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 1, 17, 53, 115, 209, 341?\n\"Answer: c**3 + c**2 - 8*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 191*i = -166*i + 778312. List the prime factors of i.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/4133?\nAnswer: -1\/4133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 4*p**2 - 2*p**2)*(24 - 13*p - 24) - 65*p**3 + 144*p**3 + 138*p**3 to the form t*p**2 + k*p**3 + u*p + o and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-2)\/(8\/12). Let u be 2 - -1 - 0\/1. Solve u = -3*k - r*i, -9 = -2*k + 4*k + 5*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779934730.\nAnswer: 2, 5, 7, 67, 191, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*n - 5*i + 22 = -201*n, -2*n + 3*i = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 14*x - 23. Let h be a(12). Let z(r) be the first derivative of -3\/14*r**4 + 4\/7*r - 9\/7*r**2 - h + 20\/21*r**3. Find l, given that z(l) = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*i*s - 438*a*i - 2*a + 1247*i*s - s - 1 wrt a.\nAnswer: i*s - 438*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 41*y + 5460. Let f be l(-133). Solve n - 5*k + f*k = -1, k + 8 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3156 and 4050200?\nAnswer: 12150600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 * -41702.\nAnswer: -19599.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.46 - 53. Let z = x - 0.4388. What is z rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 7*b - 6. Let m be v(6). Are m and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -x. Let q = -34.45 - -34.25. Sort 1\/5, 2, x, q in decreasing order.\nAnswer: 2, 1\/5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -150*w + 909. Let v(r) = -95*r + 456. Let a(j) = -4*m(j) + 7*v(j). Determine a(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*((-6*o + 2*o - 19*o)*(-1 - 3 + 2) - 2*o + 2 - 2 + (-o + 3*o - 4*o)*(-1 + 4 - 1)) to a*o + d and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -4*x. Let j be (-2)\/x + (-83)\/(-9). Let q be (j\/15)\/((-21)\/(-15)). Which is the biggest value? (a) -1\/4 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b**3 - 2*b**2 + 8. Let a be z(-3). Let d = -133 + a. Suppose -22*x = -23*x + d. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6*l - 616. Let t = -66 - l. Let d = 343 + -332. What is the highest common factor of t and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1134)\/(-84)*(-8)\/(-6). Let d be 1\/3*-3 - -3. Solve r - 1 - d = -q, -2*q = 5*r - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*c - 14877682 - 4196758. What is c rounded to the nearest one thousand?\nAnswer: -681000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b**(-8\/3)*b)\/b))\/((b*b\/(b**19*b)*b)\/b)*(b\/b**(-2\/3))**(-38) assuming b is positive.\nAnswer: b**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + -7 - (-1 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -22. Suppose g - 10 = 2. Solve -q + m*s + g = -5, -3*s - 11 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483968204.\nAnswer: 2, 3, 151, 272989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 19 - 41)*(6*g**3 + g**3 + 5*g**3) in the form j*g + k + p*g**2 + m*g**3 and give m.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145310 (base 6) to base 11.\nAnswer: a6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -66974\/63 != -1062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -195*r**2 - 3*r - 3. Let b(l) = l + 1. Determine 3*b(c) + u(c).\nAnswer: -195*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/34*1*3*(-8)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - 18. Let s be ((-4)\/(-6))\/(4*(-8)\/b). Is s smaller than 3\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 4*d - 4. Let u be f(-1). Factor 2\/7*c**u + 4\/7*c + 2\/7.\nAnswer: 2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4, -2*l + 19*c - 15*c = -26. Find the third derivative of -l - m**4 - 21*m**3 + 8*m**2 + 9*m - 60*m**3 - 6*m**2 - 9*m wrt m.\nAnswer: -24*m - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose 3*s - 43 = -37. Solve -c - b = -1 - 3, s*c = -j*b + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-37)\/p)**(1\/47))**(-4) assuming p is positive.\nAnswer: p**(152\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1335995886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6719\/79 bigger than -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*j**2 - 9 + 110*j**2 + 2*j**3)*(2 - 2 - j**2).\nAnswer: -2*j**5 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -160*s. Let x(k) be the first derivative of k**2\/2 - 176. Give x(a(w)).\nAnswer: -160*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7*g**2 + 3*g**2 + 3*g**2)*(-g**2 + 3*g**2 - 3*g**2) + 42*g - 42*g - 8*g**4)*(-4 - 5 + 5) as u + z*g + w*g**4 + h*g**2 + d*g**3 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -623.95464 + 0.72464. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26988.\nAnswer: 2, 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88969*z**3 + 8 - 7 - 211286*z**3.\nAnswer: -122317*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (-570)\/(-152)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/2*-26. Let x(u) = 67*u**2 - 4*u + 2. Let z be x(h). Suppose -5*f + z = -2*f + b, -b = -5*f + 18967. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u + 12. Let w be (33\/(-44))\/((-5)\/u). Let o = 321\/623 + 5\/89. Which is the closest to -1\/4? (a) o (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-336)\/40 + 6)\/(3\/190)*-48?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*q**4 + (-67*q**4 - 108*q**4 - 160*q**4)*(3 - 1 - 4) + 1 - q**4 - 1.\nAnswer: 666*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 3, f: 1, z: 4, e: 2}. Give prob of picking 1 g and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1323920 and 76.\nAnswer: 1323920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 208837 + 1*(0 - 1). Suppose -2800000 = -5*z + 3*q, z = -3*q + 351164 + r. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544619443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -23. Suppose 0 = -o - w*o - 2. Which is smaller: o or -5\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226160 and 2165482.\nAnswer: 86619280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k - 7 + 8*k + 4 to v*k + q and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -11*u + 58*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(396) + -3 + sqrt(396) + 1 - sqrt(396) - (sqrt(396) + (sqrt(396) - (sqrt(396) + -2 + 0 + sqrt(396)))**2)))*-2.\nAnswer: -48*sqrt(11) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 - 1)\/3. Suppose l*g - 24 = -3*g + 3*v, -3*v - 9 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1800040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9 + -0.1. Let i = 6 + o. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -19*s**2 + 55*s + 8. Let x be r(3). What is the nearest to -1 in x, 0.025, 2\/9?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9231802?\nAnswer: 2, 29, 159169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -36. Calculate the greatest common factor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 63 = 30. Let n = -6 - u. Calculate the remainder when n is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 487*k**4*x + k**4 + 15*k**3*x - k**2 + 104*k*x - 47*x wrt k?\nAnswer: 11688*k*x + 24*k + 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-21)\/r)**(-5)\/(((r\/r**(-3\/38))\/r*r)\/r**(-2\/3)))**(-10) assuming r is positive.\nAnswer: r**(-61705\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(-44)\/((q\/(q*(q**(2\/9)\/q)\/q*q))\/(q\/(q**9*q))) assuming q is positive.\nAnswer: q**(-352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o. What is the smallest common multiple of 12 and y(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1658c0 - 41?\nAnswer: 16587d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2239*k - 7186. Determine d(3).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 35*t**5 - 17895*t**4 + 181475*t**3 - 559605*t**2 + 496190*t - 100200 = 0.\nAnswer: 2\/7, 1, 4, 5, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1362244 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3240) - -1*sqrt(3240))\/(sqrt(8) - 2*sqrt(8)*-2).\nAnswer: 18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/6 - i**3\/2 + 4363*i**2 + 662800*i\/3 - 5370000 = 0 for i.\nAnswer: -100, 18, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37674 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 62 - 70. Put 4, 21, o in ascending order.\nAnswer: o, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 1114, 2291, 3858, 5809, 8138, 10839, 13906?\nAnswer: 17333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/g*g)**(-1)\/(g**(5\/6)*g)**(-36) assuming g is positive.\nAnswer: g**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58328*h + 59423*h - 94170 = 0 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 + -114. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5339)\/57*(2 - (4 - -31)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 20. Solve 6*f + 18 = -g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14709407 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1041 and 339.719.\nAnswer: 35.3647479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/(-215)*(-105)\/(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 125*w**3 + 719*w**3 - 189 + 190 - 657*w wrt w?\nAnswer: 5064*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -10331133?\nAnswer: -10331112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 18. Suppose -d - 1 = -0, 2*l - 28 = 4*d. What is the smallest common multiple of l and z*4*2\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t. Suppose 5 = -5*d + 15. Let n(r) = -d*r - 4 + 4 + 5*r. What is g(n(u))?\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*n*x - 3*a**3 + 2*a*x - 3*n**3*x + x with respect to n.\nAnswer: -a**3*x - 9*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13125 or -13121?\nAnswer: -13121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 3*l - 2\/3*l**3 - 1\/12*l**4 + 0 - l**2. Give p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in 19, 4, -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Suppose 4*o = -o - p - 6, -2*o + 2*p = 12. Let k = o + 2. What is the second biggest value in 1\/4, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*1 + -70 + 61. Solve -178 = -v*l - 133 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22696329 or -22696330?\nAnswer: -22696330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*(-45)\/6. Suppose 4 = 5*v + 3*b, 4*b - 3 = 5*v + 14. Let y(i) = -4*i**2 + 1. Let q be y(v). Sort q, t, -4.\nAnswer: t, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 + 2573*c**2 - 5145*c\/2.\nAnswer: -c*(c - 5145)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9654773 is divided by 109.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1086096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.53? (a) 2 (b) 2\/11 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -814*h**3*o**3 + 2*h**2*o**3 + 380*h*o**3 wrt h?\nAnswer: -4884*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Suppose -f - 31 + 40 = 0. Let m be (-4 + j)*(-57)\/f. Solve -4 - 18 = -2*w - 4*q, -q + m = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-23 - 1 - 5)*(-2 - 1 + 0)*(4*o - 2*o - o).\nAnswer: 174*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 7. Let n be p(-5). Let b = 11 - n. Suppose -x = -7*x + 84. Solve -4*a - 10 = q + 2, x = -a - b*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29195298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -809.4 and 1.17.\nAnswer: -808.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-18)*-12 - 128\/32. Which is smaller: c or 98\/103?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116294 is divided by 2159?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -18*b**3 - 6*b**2 - 6*b - 11. Let w(n) = 53*n**3 + 17*n**2 + 17*n + 34. Let i(s) = -17*k(s) - 6*w(s). Differentiate i(v) wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 3\/4 + 2700\/(-400).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -2\/23, 0.5 in decreasing order.\nAnswer: 10, 1, 0.5, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01263 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-192)\/555 - 2\/(-5). Let f = -97\/259 - t. Let n = -4 + 2. Sort 1, n, f.\nAnswer: n, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*h + 247, -2*o = 3*h - 5*h - 490. Suppose 7*q = -5*u + 428 + 28, -4*q + 4*u + 240 = 0. What is the remainder when o is divided by q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -167?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37189 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -4*l + 20. Let a(j) be the third derivative of -j**6\/720 - j**5\/24 + j**4\/12 - j**2. Let m(y) be the second derivative of a(y). Calculate m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -3*(sqrt(228) + (-2*sqrt(228) + sqrt(228) - sqrt(228))))\/(1*sqrt(1200)) - ((3*-2*sqrt(95))\/sqrt(5)*-4 + -1).\nAnswer: -121*sqrt(19)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Let v = -31.23 - -31. Let o = v + 0.53. What is the biggest value in t, o, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:22 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 166. Let g(a) = -31*a + 33. Is g(m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8447? (a) -1 (b) 2\/7 (c) -283 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508*i = -515*i + 161. Solve s + i = -s - 5*c, 12 = -3*s - 3*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {t: 1, i: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/3 + 22*c\/3 - 28 = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 4*o = 2*j + 176, 4*j + 44 = -3*o for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 52760131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213416 = -5*r - 3*s, -4*s = 2*r - 115931 + 30559. What is the ten thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*u + 376*u + 1152 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 302*u - 306*u = -25, 0 = 5*t + 3*u - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n**(7\/2)\/n)\/n)*((n\/(n\/(n*n**(-18)*n)*n))\/n)\/n assuming n is positive.\nAnswer: n**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(756) + sqrt(756) + sqrt(756)) + (sqrt(756)*-2*-1 - sqrt(756)))\/(sqrt(70)\/(sqrt(10)*3) + -2*sqrt(567)).\nAnswer: -450*sqrt(3)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y*y**(-1)))**(-1\/12))**(-7) assuming y is positive.\nAnswer: y**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -905705 + 905721, -5*z = -b - 34 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*o**2 + 167*o**3 - 4*o - 213*o**3 + 1 + o**4 + o**4 as j*o**3 + l*o + k + h*o**2 + m*o**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.29, 7, 6 in descending order.\nAnswer: 7, 6, -8.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -56. What is the third smallest value in w, -4, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2421 (base 5) to base 3\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-16 - -19) - (3 - -2) - 22.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 = -16. Suppose -3*q = -2*t - o, 4 = 5*q - 4*q. Solve -3*d = 3*v, -t*d + 2 = 4*v - 0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let b(c) be the second derivative of -c**7\/1260 - c**4\/4 + c. Let z(x) be the third derivative of b(x). Calculate z(g(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 9*m**2 + 2. Let f be o(9). What is the derivative of -6*j**f + 3*j**2 - 3 + 2*j**2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 151 + -145 + (36 - -1) + (-1 - 9).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/1 + (-2)\/1. Calculate the greatest common factor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1356 divided by -4\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 1766*l - 1769*l + 2*q, 0 = -3*l + 5*q - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1988\/252 - (-8)\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/2 - -11. Let p = 17.7 + -2.7. Let t = p + -18. Sort 0.1, t, c in increasing order.\nAnswer: t, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:16 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11295)\/(-27108))\/(6\/(-54) + (-2)\/(-3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -369, -504, -655, -828, -1029?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 = 646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f*f**(-3\/7))))\/f**(3\/20)*f**(5\/11)\/f*f**33\/f assuming f is positive.\nAnswer: f**(49089\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9061 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0\/m))**(-40)\/(m**(-2\/7)\/(m**(-8)\/m)) assuming m is positive.\nAnswer: m**(-621\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/24)\/(13*(-135)\/(-12)*(-27)\/(-486))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*f**2 + 9540*f + 11725 = 0. Calculate f.\nAnswer: -35\/29, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Suppose f*b + 0 - 4 = 0. Suppose -n - b + 5 = 0. Solve 9*k - n*k - 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 12*m + 5. Let i be ((-6)\/(-3) - 3)*0. Suppose i = -4*j - j + 70. Calculate the remainder when j is divided by s(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13055 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 3\/2 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 2, n: 1}. What is prob of sequence bn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141709 is divided by 70624.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 4.7. Let k = 33.6 - 33.7. Which is the closest to k? (a) 2 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30073 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 2. Let t be i(2). Suppose 0 = -3*n - 0 + 9. Factor 24*j**t + 7*j**4 - 8*j**3 - j**n + 12*j - 34*j**4.\nAnswer: -3*j*(j - 1)*(3*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 5*y - 24 = 0, 210922*h - 5*y - 12 = 210918*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + (52 - 176) + 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1776)\/(-2)*(20 - 744240\/72). What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334099 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*f**2 + 1\/2*f**3 - 1\/2*f - 1 - 1\/2*f**4.\nAnswer: -(f - 2)*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Suppose -2*b - 3*r = -a*b + 15, -37 = -3*b + 5*r. List the prime factors of 7*3 + (11 - b).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*j + 112 + 858 - 90 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/4)*c)\/c)\/c)**4*c**(4\/9)\/c**(-1) assuming c is positive.\nAnswer: c**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 r when four letters picked without replacement from {r: 3, i: 2, z: 2, h: 3, w: 1, n: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1621287\nAnswer: -810643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = 2*h + 7, -5*h - a + 23 = 0. Solve -h*p - 6 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (14 - 5) - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 7*q - 24 = 3*q, -4*l = 5*q - 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 2. Let n(r) = r**2 - 5*r + 4. Let j(p) = 5*i(p) - 2*n(p). Let d(u) = 2*u**2. Calculate d(j(m)).\nAnswer: 8*m**4 - 16*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 3) in base 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4429980*n - 2214992*n - 2214995*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 69, -27 in ascending order.\nAnswer: -27, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3523 and 214?\nAnswer: 213.6477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-30))\/(19\/57))\/(3\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 373028 - 448429 = -3*n. What are the prime factors of n?\nAnswer: 3, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/130 + -523\/390. Let i = 16 - 13. What is the closest to 0.1 in k, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -142 and -1004\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2. Let s(d) = 3*d**2 + 375 - 375 - d**2. Calculate a(s(u)).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 + 0 = 0. Let o(y) = -y**2 + 3*y - 3. Let r be o(n). Is (r\/1)\/((-1)\/4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -60, -107, -160, -213, -260?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 + 14 = 4*h - 3*m, 5*m + 129 = 3*h. Let q = h + -303\/7. Let t be -1 + (-18)\/(-15)*5. What is the closest to q in t, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:10 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 7*t + 9 = 0. Is (-580)\/(-35) - t\/7 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {r: 1, s: 2, n: 4, h: 1, z: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/26)\/((-1)\/8)*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {y: 1, t: 4, s: 2, i: 4, j: 1, z: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 12) to base 11.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -62.72. Let k = u + -0.78. Let f = -0.49524 - k. Round f to four decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 214\/9 - (-2)\/9. Suppose -3*a - a - x = 0. Let p be a\/2 + 9 + -4. Solve -c + 1 = -4*y - p, 5*y + 10 = -5*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135592 + -135582. Let m be ((-12)\/(-10))\/((-3)\/10). Let c be (-2)\/6 - m\/(-15). Sort w, -2\/9, -2\/15, c.\nAnswer: c, -2\/9, -2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*i + 31 = 0, 2*a + 19 = -5*i - 2. Suppose -t - 840025 = -a*t. Suppose -3*o + t = 5*m, -o = 3*o + 3*m - 1120015. Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.630376 rounded to two dps?\nAnswer: -247.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)**(-2\/51)\/(a\/(a*a*a\/(a\/(a**(1\/4)\/a))))**(-6))**1 assuming a is positive.\nAnswer: a**(-157\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -2. Let u be 7\/y*(-1 + 3). Let c = 3 + u. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, s: 3, l: 4}. What is prob of picking 2 l and 1 s?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/12 + 2*w**3\/9 + 4. Factor v(z).\nAnswer: z**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-31)*n)\/n*n**14*(n*n**(-4))**43 assuming n is positive.\nAnswer: n**(-146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125337542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 146 = -4*m, 4*m - 2*m = 4*t - 70. Let b = -33 - m. Suppose 3*w = w + b. Solve 0*i = 4*i + w*y, 0 = 3*i + y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 18 + -9 + 61?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8958, 8962, 8968, 8976, 8986, 8998, 9012?\n\"Answer: f**2 + f + 8956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38929*a - 38935*a - 90 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 7 = 8*o - 13*o, 0 = 2*o - k + 5. Let a be ((-11)\/o)\/((-1)\/(-2)). Sort -3, a, 1, 4 in increasing order.\nAnswer: -3, 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87\/545 or 0?\nAnswer: 87\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c**2 + 31*c**2 - 9*c - 11*c**2)*(0*c**3 + 2*c**3 + c**3).\nAnswer: -12*c**5 - 27*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165217168 to the power of 1\/3, to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 20 - (2 + -9 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(16)\/sqrt(8)) - (sqrt(2) - sqrt(8)\/(sqrt(4) - sqrt(4)*-4)))**2 - (-3 + (sqrt(2) - sqrt(50)) + 0 + sqrt(98)).\nAnswer: -3*sqrt(2) + 77\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 121. Sort g, -1, -3.\nAnswer: g, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 4\/(-3)*(-225)\/100\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1460, 2926, 4392, 5858, 7324?\n\"Answer: 1466*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 3*t)*(-3*t**2 + 3*t**2 - t**2) - 5 - t**3 + 2*t**2 + 3 + 0*t**2.\nAnswer: -2*t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 200313965 a multiple of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msms when four letters picked without replacement from {m: 4, s: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - v**3 - v + v**3 + v**3 - 8 to o + w*v**3 + h*v + x*v**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.454 weeks in minutes?\nAnswer: 1113376.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -28. Suppose -4 = -w*f + 9*f. Suppose -67 = -4*r - p, -5*r - p + 53 + 30 = 0. Calculate the greatest common divisor of f and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w - 85. Determine o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 258*a + 0*a - 85*a to k*a + h and give k.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*s = -59841 - 74151. What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-10) - (-13 + 9464\/715)*-3\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by (2\/(-3))\/(404\/102 + -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - 2 - 138 - -18.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**2. Let o(r) = -131 + 131 + 2*r. Calculate o(j(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:07 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*c**2 + 2*c**3 + 532*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 361.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -162950 and -162953 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189751909 and 578.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022000102101 (base 3) in base 5?\nAnswer: 134023322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 divided by -24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:42 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 314236536?\nAnswer: 314236535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174853156*m**3 + 13*m**2 - 1651466 wrt m.\nAnswer: 1049118936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/6)\/((-28)\/72). Let t(a) = a**2 - 11*a - 3. Let k be t(8). Is (44\/i)\/((-18)\/k) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:27 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063000 is divided by 4029?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -132. Let k = j + -50. Suppose x = k + 5. Calculate the highest common divisor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6776 - -12294. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Let m(q) = 3*q. What is m(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - d + 390 = 0. Let k = -28 - d. Let i be k\/(-13) - 126\/(-143). Which is smaller: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 + 14*w + 21. Let r be u(-6). Does r = 39\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -605, -775, -75, 1921, 5639, 11505, 19945?\n\"Answer: 71*v**3 + 9*v**2 - 694*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9398 bigger than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, h: 1, v: 2, a: 1, q: 1}. Give prob of sequence qv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17501, -34971, -52441, -69911, -87381?\n\"Answer: -17470*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 + 246207*o**2 + 5014730361*o - 1511171184699 = 0.\nAnswer: -41183, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 38, 90, 174, 296, 462?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -2*x**7\/105 - 23*x**6\/30 - 22*x**5\/15 - 1038*x**2. Factor t(a).\nAnswer: -4*a**2*(a + 1)*(a + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -46, 5, -45, 2, -4 in decreasing order.\nAnswer: 5, 4, 2, -4, -45, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/140070 and -211\/1100550.\nAnswer: 7703850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*v + 4 = 16, -2*g - 6 = v. What is the second biggest value in g, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40129 - ((-26)\/(-117) + 76\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(3\/14))\/c)\/c*c**(-18))\/(c**(-24)*c**37) assuming c is positive.\nAnswer: c**(-431\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63585 = -45*g - 63855 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*16194.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903, 989, 1087, 1203, 1343?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 81. Calculate the least common multiple of 64 and k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = q + q, 5*q = -4*f - 10. Let c be 9*(-1 - -3)*(f - 1). What is the common denominator of 82\/30 + (c - -14) and -121\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 350a21?\nAnswer: 350a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 12:40 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -37930 - 425*b + 37930 + (-1 + 0 + 3)*(4 - 4 - 2*b) + (3*b - 3*b - b)*(-29 + 7 + 6) in the form f*b + y and give f.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 1666*i**2 - 58267*i\/5 - 49938\/5.\nAnswer: -(i + 1)*(i + 6)*(i + 8323)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3\/2 - 5*p**2\/2 - 161*p. Give m(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odvoopdvddv. What is prob of sequence podo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*x**3 - 89*x**2 - 4060*x - 607746925.\nAnswer: -27*x**2 - 178*x - 4060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1205 = -4*x - 4*r - 101, -3*x + 822 = r. Calculate the least common multiple of x and 312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0.4 (b) -0.3686 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1256 and 32?\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2831 - 14087 = 146*v + 122*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2 + 22*b - 11*b + 2 + 4. Suppose 3*w = 39 + 15. What is the remainder when z(4) is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 283739840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-18)*(-78)\/(-273).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 8*r - 15 = 0, 12*u + 8*u + r - 27 = 29*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -18*k - 4. Let f be i(-5). Suppose -5*b - 6 + f = 0. Suppose 3*p - b = -p. Sort -3, 2, p.\nAnswer: -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2335, 4805, 7411, 10159, 13055, 16105, 19315, 22691?\nAnswer: 26239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*c - 14*c + 12921807 + 302495 = 0. What is c rounded to the nearest one thousand?\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7143.6355+-2177\nAnswer: 4966.6355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -953, -1917, -2883, -3851, -4821, -5793, -6767?\n\"Answer: -f**2 - 961*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 319*k**3 - 242*k + 121. Let u(v) = -8*v**3 + 6*v - 3. Determine -6*b(p) - 242*u(p).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 30321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)\/(sqrt(35)\/sqrt(7)))\/(2*sqrt(320)))**2.\nAnswer: 11\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 - 250*j**2 - 1.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -698818.97 to the nearest 100.\nAnswer: -698800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 30) + (-4 - -13) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111012113221 + 30?\nAnswer: -1111012113131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(-18 - -6). Let x be (16\/14)\/(((-64)\/(-28))\/s). Suppose j - 24 = -x*m, 0*m + 26 = 2*j - 3*m. Is 18 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 109\/7. Let p = -59564\/148935 - 2\/29787. What is the second biggest value in p, 2, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -0.01, -5, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245460077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, d: 3}. Give prob of picking 4 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -2*1\/2. Let p be 4 - (-4)\/(-4)*6\/3. Let q = n - p. Put q, -1, 4 in increasing order.\nAnswer: -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7698698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33680 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 4*b - 48 = 17*a - 12*a, -24 = -2*b - 8*a. Let j(c) = -c**2 + 18*c - 73. Give j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87065389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28221 + 0.15221. Let u = -107 + 747\/7. Put u, i, 0.1 in decreasing order.\nAnswer: 0.1, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1059 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-8)*(-1 + 12 + (-390)\/18))\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c**3*c)\/c)*(c*c*c**(-1))\/c*c*((c*c**(-1\/2))\/c)**(-2\/105) assuming c is positive.\nAnswer: c**(-104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.9, 0.01, -1, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -587*u + 567*u. Let s(j) = 5*j**2 + 6 + 2*j + j**3 - 3*j**3 + 3*j**3. Calculate the smallest common multiple of s(-4) and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-1*(-1)\/(-2))\/(6\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6748 + -6730. Let t = 75\/4 - 9\/4. Do t and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(1 + 2 + 21). Let t(j) = -j + 2. Let c be t(0). Is 4\/(-8)*c + b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hxhhhhxhh.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/6 + 12079*y\/6 + 6040\/3 = 0 for y.\nAnswer: -1, 12080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 65. Let s(l) = -13*l + 9. Let f(k) = 6*k - 4. Give m*f(r) + 2*s(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161305 (base 7) to base 15.\nAnswer: -95dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 4*s - 3. Let k(w) = -w**2 - w - 1. Let f be k(-2). Let v be o(f). Put -7, v, 5 in increasing order.\nAnswer: -7, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 8493 + 6699. What is the remainder when a is divided by 61?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 9*y + 4. Calculate o(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18453*j**2*m**2 - j**2*m - 17*j**2 + 11413*j*m**2 + 2*j*m + 18*m**2 wrt j.\nAnswer: 36906*m**2 - 2*m - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) + 6\/12)*(-40 + 49).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 0.1, 1.4, 5\/3, -3, 0, 2\/3 in descending order.\nAnswer: 60, 5\/3, 1.4, 2\/3, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*q = -0*q - 3, 0 = -2*v - q - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0712 + 0.1125?\nAnswer: 0.1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Let p(a) = -2*a + 2. Calculate p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:41 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 18565.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 35 = -3*p. Let k = -5 + p. Let h be (1 + (-3)\/2)*0. Put k, h, 4 in ascending order.\nAnswer: h, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/33)\/(-1) + -1. Let v = -0.02 + 2.02. Let q be (3\/7)\/((-8)\/(-14)). Which is the nearest to -1? (a) q (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1170920 divided by -234184.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1)*(-3)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6*30\/(-20). Suppose 0 = -2*i - s*z - z + 13, 4*z - 16 = -2*i. Factor 10*m**4 + 28*m**3 + 4*m**i + 16*m**2 + 6*m**4 - 4*m**4 + 4*m.\nAnswer: 4*m*(m + 1)**2*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/5 + 2004*t**3\/5 + 145346*t**2\/5 - 450096*t\/5 + 302744\/5 = 0. What is t?\nAnswer: -923, -82, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 66987405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240.8 + 241. Let s = -28.2 + 31. Let h = s - 3. What is the closest to 1 in 5, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0*i**3 - 4*i**2 - 1\/20*i**5 + 0 + 0*i**4 + 0*i. Let x(l) = 19506 - 2*l - 19506. Calculate q(x(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-65)\/(-650))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 12424 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from nwwvav?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37163820 divided by 10?\nAnswer: 3716382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is cb (base 15) in base 6?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.79 + 30. What is n rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.6527?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-27)\/(-3) + -1). Let n(c) = -7*c - 18. Is n(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4 - 4, -2*w + 3*l = -438. Let s = 223 - w. Solve s = -6*y - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 87 = -3*k. Calculate the remainder when 129 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149880 by -40.\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:06 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 23*x**3 + 5*x**2 + x - 4. Let w be c(-4). Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*u - 8*j - 19, -4*j = u - 5. Let i = u + 14. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001000011111110001 - -111?\nAnswer: -100010001000011111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g - 193. Let p(x) = 5*x + 97. Determine 6*a(y) + 14*p(y).\nAnswer: -2*y + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*x + 12 + 7 - 17)*(-218*x**4 - 8093*x + 8093*x).\nAnswer: -9156*x**5 - 436*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 0 + 135\/35. Let f = 0.2 - 0.6. What is the closest to 4 in f, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -t + 2*t - r = 0. Let g(j) = 6*j - 1. List the prime factors of g(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:52 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55967.305 times -23\nAnswer: -1287248.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let b = -472.771 - -473. Let t = b - 0.029. Sort -2, t, 3, k.\nAnswer: -2, t, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (31 - -4) + 5 + (7 - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931)*1 - sqrt(931))*-3 + 3 + sqrt(931) + (sqrt(931) - sqrt(931)*-1) + 3 + 2)**2.\nAnswer: 448*sqrt(19) + 14960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:04 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let b(s) = 4*s**3 + s - 7. Let p(a) = b(a) - i(a). What is the first derivative of p(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17252\/5 + 117814\/35. Let i = 84 + g. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87040, -174088, -261136, -348184, -435232?\n\"Answer: -87048*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 3*c + 5. Let r be s(0). Suppose z - 2 = 2*l, -4*z + r*l = -6*z + 40. Calculate the highest common factor of z and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*f + 646 = 1712 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-3) - -1 - 0\/12. Solve -4*m = -5*d, 4*m = -i*d - 2*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2120 divide 11999200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, 1 q, and 1 f when four letters picked without replacement from {q: 2, n: 1, s: 4, w: 3, t: 4, f: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25461353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 545\/(-55)) + (-24)\/220?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/1352*13 + 685\/40*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238176.7009913312185 + 0.0990081887815. Let c = w - 238174.9. Let d = -1.9 + c. What is d rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6\/133, -1, 1\/4, -5.\nAnswer: -5, -1, -6\/133, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 + 276. List the prime factors of k.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 391, 572, 733, 868, 971?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 11*g**2 + 8*g - 4. Let h be w(10). Let l = 12 + -49. Let a = h - l. Calculate the remainder when 36 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-5 + -2 + 9)) + (64 - -6) + 13.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3180000 and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -428.998738 + 429. Round t to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3))**19*(b**(-2\/7))**(-6\/7))**37)**(-1\/15) assuming b is positive.\nAnswer: b**(6623\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7866, -3, 1, 13564 in ascending order.\nAnswer: -3, 1, 7866, 13564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/3)*v*v**(4\/7))\/(v**(2\/13)\/((v**3*v)\/v))*(v\/(v**0\/v))**(-8\/19)\/(v**1)**49 assuming v is positive.\nAnswer: v**(-244262\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3405817 divided by 6.\nAnswer: -3405817\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**3 - 17*f - 36. Let a(l) = -4*l**3 + 6*l + 12. Let u(z) = -17*a(z) - 6*i(z). Differentiate u(b) with respect to b.\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2103\/2 + -1024. Let v = 28 - i. Let k = -40334 - -40333.3. Which is the nearest to -1? (a) 5 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/19398 and -59\/292.\nAnswer: 2832108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 8277 + 8276 + 5*h.\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 + -1000231?\nAnswer: -444440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.364 - 9.496. What is p rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.4 - 62. Put f, 5, 1, 0.5 in increasing order.\nAnswer: f, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/12 + 4*b**3\/3 + 2707*b**2. Let k(d) = 10*d**2. Determine k(f(r)).\nAnswer: 40*r**2 - 320*r + 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4262111?\nAnswer: 7, 608873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x - 15 = 0. Let t(n) = -n**2 - 3*n. Let r be t(x). List the prime factors of 1 + r\/3 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.7 - 13. What is z rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (1 - -13 - (120 + -90) - -78).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.39967 or -106\/21?\nAnswer: -0.39967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/9 - 704*t\/3 - 2111\/9 = 0?\nAnswer: -2111, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3*c + 0 + 1\/4*c**4 + 0*c**2 + 0*c**3. Let q(o) = -o**2. Calculate q(d(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35, 113, 503, 1255, 2489, 4325, 6883, 10283?\n\"Answer: 20*u**3 + u**2 + 5*u - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -3405393 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (6*2*sqrt(65) - sqrt(65)))\/(sqrt(15)\/(sqrt(15)\/sqrt(5)))*1 + 3.\nAnswer: -10*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 - -0.72.\nAnswer: 13.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 965244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8920*l + 3236*l - 4629 + 2312 + 2317 to the form h + s*l and give s.\nAnswer: -5684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.09 - -5.79. Which is the nearest to -4? (a) l (b) 0.5 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4677129 or -4677130?\nAnswer: -4677130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 46e?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - v - 3*v. Let w(x) = 24 + 2*x**2 - 24. Give d(w(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 59*k - 272. Calculate j(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55003, 55002, 55001, 55000, 54999, 54998?\n\"Answer: -m + 55004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112468*m**2 + 239894252*m + 17064.\nAnswer: 4*(m + 2133)*(28117*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o - 3*a - 9 = -67*o, o = -2*a - 1. Sort -39, 4, o, 2 in descending order.\nAnswer: 4, 2, o, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/2 + 10*s**3\/3 + 9*s**2\/2 + 35*s - 433. Determine q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/2 + 139*i\/2 + 137 = 0.\nAnswer: -137, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 167, 384, 689, 1082, 1563?\n\"Answer: 44*t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -9 (c) -2\/19 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.2, -0.4, 1848.5 in ascending order.\nAnswer: -0.4, -1\/4, -0.2, 1848.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 21*o**2 - 26*o + 21. Calculate the remainder when 342 is divided by k(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b**3 - 509*b**2 - 6*b + 18. Let q(k) = 29*k**3 + 1019*k**2 + 13*k - 40. What is 9*p(o) + 4*q(o)?\nAnswer: -o**3 - 505*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1360 divided by 10\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*i + 80*i + 83*i = -n + 4*n - 235, -2*n + 90 = 2*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9 - 2*p + 9. Let m(t) = -7*t. Let g(u) = 28*u. Let v(r) = 5*g(r) + 21*m(r). Calculate a(v(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -22. Suppose c*n + 5*h = 2*h + 26, 44 = 5*n - 2*h. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*v**5 - 18*v**4 + 15*v - 3 wrt v.\nAnswer: 80*v**3 - 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 756870 to the power of 1\/2, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3201 and -0.1.\nAnswer: -3201.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -219? (a) 3\/2 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*g = 15, -4*g - 8 = 8. Let n = 46 - j. Solve -43 = -2*z - n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 11*u**2 - 33*u - 391. Let x be s(-9). Suppose x*z + 725 = 4193. Calculate the remainder when z is divided by 3\/(3\/34) - -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77027197927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124417, 497634, 1119643, 1990432, 3109989, 4478302?\nAnswer: 6095359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4036919?\nAnswer: 61, 66179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*b + 611989 - 598197 = 0 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -d - d + 2, 2*d + 5*o = -7. Let i be (12\/(-16))\/((-4)\/32). Let j = d + i. Solve -2*k = 2*l, l + j*k = 8 - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62155*n**3 - 44877*n**2 wrt n.\nAnswer: 372930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 103 + (54 + -45 - (8 - -1))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:21 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 31*k - 34*k + 4, -4*b = 11*k - 17 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 0 + 0 + (-j**2 + 5*j**2 - 2*j**2)*(-2*j + 2*j - 2*j) - 3*j + 3*j - 2*j**3 + 3 - 3 - j**3 + j**3 + 2*j**3 - j**3 + 3.\nAnswer: -6*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105105 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40598, 40700, 40812, 40934, 41066, 41208, 41360?\nAnswer: 41522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 874 = 3*h, 0*u + 2*u = 5*h - 1442. Suppose -h = -3*o + 37. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(14\/(-28)). Let d be ((-2 - -2)\/2)\/z. Suppose w + 4 - 18 = d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 188445*n**2 - 565374*n - 753816.\nAnswer: 3*(n - 4)*(n + 1)*(n + 62818)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -37, -24, -5, 20, 51?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h + 2, 3*h = 5*i - 3. Let o be ((i\/3)\/2)\/(-2). Suppose o = 4*a - 4*k - 136, -6*a - 2*k = -3*a - 112. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 10*y**2 + 7*y - 1. Let r(b) = -b**2 - b. Determine g(o) + 5*r(o).\nAnswer: 2*o**3 + 5*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52139006 to the power of 1\/2, to the nearest integer?\nAnswer: 7221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 + -351. Let x = -39\/32 - -1847\/1568. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 - 290670*h**4 + 21122262222*h**3 + 872008*h**2 - 63366205335*h - 42244524450 = 0. Calculate h.\nAnswer: -1, 2, 145335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:23 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1010415 times -44\nAnswer: -44458260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 1, o: 1, q: 2, d: 1, v: 1}. Give prob of sequence qno.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -750*x + 5250. Let c be n(7). Solve c = s - 2, 288*q - 286*q = s - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 6*o**2 + 8*o - 1. Let n be t(7). Put n, -2\/3, -0.2 in ascending order.\nAnswer: -2\/3, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-2161\nAnswer: -2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + (-656)\/(-2112). Which is greater: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2654 (base 8) to base 14\nAnswer: -75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2141200 is divided by 342?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m - 4. Let d(z) = -4*z - 3. Give 5*d(o) - 4*j(o).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(1872)*-5)\/((1*sqrt(16)\/sqrt(4) + sqrt(484)*1)*-3).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2 - 52*z + 456 = 0.\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720 divided by 8.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {d: 2, b: 1, o: 3, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i = -3*n - 61*i + 6, -5*i + 30 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42355.67 centuries to years.\nAnswer: 4235567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**6\/144 - x**4\/2 - 12*x. Let w(r) be the third derivative of o(r). What is the units digit of w(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 234299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 7*f = 21. Suppose -10*a + 357 = -f*a. Suppose -2*m - 2*t - 1 = -a, 111 = 5*m - 2*t. Calculate the highest common factor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 4. Calculate z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 + -345. Suppose 0 = 2*f - 0*f - 10. Let m(a) = -2*a + f*a + 2 - 4*a. Calculate m(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ae70 (base 16) in base 13?\nAnswer: 148199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-1790)\/(-360) - 5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99318193 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 7*g**2 + g - 3. Let v be r(7). Suppose -4*i + 12 = -7*f + 3*f, -f - 15 = -v*i. Solve s = t + f, -2*s - 2*t = -t - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**2 - 7*p**2 + 7*p**2 + 103 + 49 + 120 to the form j*p + m*p**2 + i and give i.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 113400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (6 - 0) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1910 - 1906. Let b(y) be the first derivative of 0*y**2 + 0*y**3 + 12 + 0*y + 2\/15*y**6 + 1\/5*y**i - 8\/25*y**5. Find f such that b(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20922 + 20924. Let m(p) = -3*p**2 + 21*p - 36. What is m(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 10) to base 15\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*y - 18073*y - 80334 = -1551*y - 688334 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551444 by -3098.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20638, 18674, 16712, 14752, 12794, 10838?\nAnswer: 8884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-3)\/((48\/144)\/(4\/18)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b6 (base 12) to base 11.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 3*w, 5*q - w - 3 - 17 = 0. Suppose 0 = 5*n + k + 1, 0*k = 4*n + 2*k - q. What is the units digit of 5\/(n + 2 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6993 + -0.6993. What is the smallest value in -2, q, 27, 5, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/4*(-60)\/(-75). Let b be (4\/h)\/(23\/(-1173)). Let f = -30 + b. Solve -2 + f = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 52 + 17 + 4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17067203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 65 - 29. Suppose w*z = 55 + 101. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 95695*a - 191392. Calculate z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 6 - -2 - -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 37152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17174031 and 2737889?\nAnswer: 188914341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 - 4*g - 9. Let b(o) = o**2 - o - 1. Let s(w) = 5*b(w) - k(w). Let t = 4 + -10. Let d be (2*2)\/(t\/(-6)). Calculate s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.19, -0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*d + 1865 + 1874 - 3739.\nAnswer: 421*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -3. Let h = 7.3 + j. Which is the closest to 1\/2? (a) h (b) -2\/15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w + 3*w)*(-7 + 71 + 20)*(-5 + 4 + 0).\nAnswer: -168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10387263*u + 2*u**2 + 10387263*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31552 and 699712.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*c + 96467*a**2 - 21*a*c + 2*c - 386 wrt a?\nAnswer: -6*c + 192934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 2598. Let v(m) = -8*m**2. Calculate n(v(t)).\nAnswer: 8*t**2 + 2598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/20 + k**5\/20 + k**4\/8 + 2*k**3\/3 + 3552*k**2. Let r(g) = 5*g**3 - 2*g**2 - 2*g - 4. Determine -3*r(h) - 2*v(h).\nAnswer: -3*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*h**5 + 52*h**4 + 151*h**5 - 52*h**4 + 31*h**5 - 71*h wrt h.\nAnswer: 6860*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 = -3*u - 4*h, -9 = u + 3*h. Let y be 10\/6 - 4\/u. Solve 3*z - 15 = -y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(10) - (sqrt(10) + sqrt(640) + sqrt(640)*1))\/(sqrt(98)*4))**2 + -1)*-3.\nAnswer: 54\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 14. Let a be p(-19). Suppose -a*z = 4*o - 4, -2*o - 6*z = -3*z - 4. Let t be (8\/(-2))\/(0 + -1). Put 1, o, t in increasing order.\nAnswer: o, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:27 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2272174264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 35*y + 1020. Calculate w(-35).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 + 2 = 0. Let u = j - -4. Is 3 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2 - 1478*x - 1480 = 0.\nAnswer: -1, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 + 9 = -3*a, 0 = -a - 1. Sort 5, l, 2.\nAnswer: 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44437 divided by 85?\nAnswer: 44437\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4 - 1542*m**3 - 647235*m**2 + 4605174*m = 0.\nAnswer: -279, 0, 7, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-12348)\/16)\/(4\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291.7 - 291.6. Which is the biggest value? (a) 13 (b) -1 (c) j (d) -10 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*o + 1587 + 9879 = 298*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b - 5. Let p(l) = -7*l + 3. What is 5*k(m) + 8*p(m)?\nAnswer: -6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s. Let a(p) be the first derivative of -3*p**2\/2 - 4*p + 7. What is the lowest common multiple of a(-3) and r(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**2 + 15*w + 8*w + 7*w**2 + 3*w**3 - 9*w**2 - 11*w**3. Let q(u) = 9*u**3 - 7*u**2 - 26*u. Let y(i) = 5*m(i) + 4*q(i). Solve y(l) = 0 for l.\nAnswer: -1, 0, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7841 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 12. Let z = w + -1. Let i = 0 + z. Solve -i*o - 15 = -8*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:11 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/138*114\/(-5985)*-42\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -30, -97, -210, -381, -622?\n\"Answer: -2*j**3 - 5*j**2 - 4*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/3*(-3 + 0). Suppose 0 = -x - x + v. Let p be (-141)\/(-9) - 2\/3. What is the greatest common factor of x and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/6 + (-338)\/(-39) + -18. Let o(f) be the third derivative of f**6\/120 + 11*f**5\/60 - f**4\/24 + f**3\/3 - f**2. Is o(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -513109 (base 10) to base 5\nAnswer: -112404414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 23 - (-1 + (-2 - (9 - 0)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 40 = 36. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*q**3 + 42828*b**2*q + 1202*b**2 + b*q**3 - 11867676*q**2 wrt q?\nAnswer: 12*b**2*q + 6*b*q - 23735352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 172 + -106 - -2*5\/(-2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -51. Suppose 0 = 2*h + 8, q = x + 2*h - 72 - 59. Differentiate -x*a + 212*a - 115*a - 37 wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 11*l**2 + 6*l - 20. Let n(o) = -o**2 + o - 2. Calculate m(s) - 6*n(s).\nAnswer: -s**3 + 17*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-4) - -18*(-9)\/(-6). Let i = 256 + -252. Solve -v = -2*h + h + i*j, 0 = -3*h - 3*j - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 + 4*y + 4. Let c be k(7). Suppose 27*u = 14*u + c. Calculate the least common multiple of 2 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppmkmqpmqmpzpmqqz. What is prob of picking 1 m and 1 q?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2060704422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90112 and 16?\nAnswer: 90112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -4*n**3\/9 + 14*n**2\/3 - 16*n - 360. Factor c(j).\nAnswer: -4*(j - 4)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 55 = 5*z, -1334970*z + 64 = y - 1334974*z for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.3 times 6432?\nAnswer: -207753.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l + 1. Let p(t) = 5*t**2 - 34*t - 4. Let v(k) = -2*p(k) - 11*w(k). Determine v(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2355201 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -679.8 - -680. Which is greater: m or -0.29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 6*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*-1*sqrt(128)*-5 - ((sqrt(128) - (-2 + sqrt(128))*-1) + (sqrt(128) - (5 + 2 + sqrt(128) + sqrt(128)) - sqrt(128))**2).\nAnswer: -559 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211002211212 (base 3) in base 16?\nAnswer: ebf8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 48*z**2 - 2*z**3 - 7*z**3 + 7 + 5*z**3 - 24*z**2 + 2*z**3 to the form s*z**4 + w + y*z**3 + r*z + t*z**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let i = 4 + v. Differentiate -a**2 + 0*a**2 - i + 2*a**2 with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 67*r - 661. Give p(-39).\nAnswer: -2611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 801*q**2 - 11*q + 2. Let d(a) = 3207*a**2 - 48*a + 8. Calculate 2*d(w) - 9*z(w).\nAnswer: -795*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -159*u + 1556. What is p(13)?\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/30 - f**4\/8 - 4*f**2. Let l(g) = 5*g - g**2 + 0 + 1 + 1. Let q be l(5). Determine z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + 6. Let b = f + -21. Calculate the lowest common multiple of b and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8651804 hours to microseconds.\nAnswer: 3114649440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138411 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/6 and -101\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 755.0797 litres in millilitres?\nAnswer: 755079.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 12, 5*w - w = -i. Let s(m) = 3028*m**2 - m. Is s(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18. What is the third smallest value in z, 2, -1\/2, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508879, -508075, -506735, -504859, -502447?\nAnswer: -499499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2120 and 658360?\nAnswer: 34893080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35222, 34608, 33580, 32132, 30258, 27952, 25208, 22020?\nAnswer: 18382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -430701*n. Let f(b) = 2140*b. What is t(f(p))?\nAnswer: -921700140*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 - 113*p + 259 - 491.\nAnswer: -113*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16*o - 26200. Let x(r) = -2*r. Let y(t) = -2*f(t) + 12*x(t). Let k be y(0). Round k to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**5 + 3*k**5 - k**5)*(-2 + 2 + 2 + (-3 - 1 + 3)*(1 + 1 - 1))*(2 - 1 - 4).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 548603 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82434.1 micrometers to meters.\nAnswer: 0.0824341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4534 - 4502) + 2 + 4 + 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + -3. Let o = q - -0.2. Let v = -11160 - -11160.4. Sort v, o, 5\/4 in ascending order.\nAnswer: o, v, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015755 to the power of 1\/2, to the nearest integer?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + c = -454, 0 = -4*m - 15*c + 11*c + 464. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108248 divided by -4.\nAnswer: -27062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*p + 45 = -365*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.08977629 rounded to two decimal places?\nAnswer: 21.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2, x: 1, v: 4, n: 1}. Give prob of sequence zn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3241\/333 - 134\/37. What is the common denominator of q and 31\/95?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1072 + 1448 = 42*s. Suppose -4*l + 60 = s. Solve l*q = -9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 + 885*x**3 + 24975*x**2 - 133805*x - 602700 = 0.\nAnswer: -140, -41, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:04 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, -5 in ascending order.\nAnswer: -5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*5\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -380*i**2 - 45 wrt i.\nAnswer: -760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*s - 107*s = 33*s - 8788408. List the prime factors of s.\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7002208.\nAnswer: 2, 218819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 22433454?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose u*m = -3*m - 12, 4*d - 5*m - 52 = 0. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2195186, -4390376, -6585566, -8780756, -10975946?\n\"Answer: -2195190*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6300897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -9.8, -2\/5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 5*d - 10)*(-26*d - 331*d + 12*d).\nAnswer: -345*d**2 + 3450*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**3*r - 80555*k**3 + 19*k**2*r - 18387*k**2 wrt k?\nAnswer: -72*r - 483330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.09 + 12. Let a = g - 0.01. Put a, 152, -0.5 in decreasing order.\nAnswer: 152, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.85496075 from -0.5.\nAnswer: 3.35496075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19194 and 18?\nAnswer: 57582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiwwiiii. Give prob of picking 3 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbx when three letters picked without replacement from xbiiaxh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191688 and 672.\nAnswer: 766752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57647 is divided by 424.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/11)\/c)**(-18\/11)*(c**(-20)*c)\/(c*c\/((c*c**(-1\/13)*c)\/c)*c))**(-6\/5) assuming c is positive.\nAnswer: c**(187692\/7865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 49*u + 41. Let x(n) = -n**2 - 247*n - 206. Let h(m) = 2*x(m) + 11*z(m). Let l = 36 - 20. Calculate the lowest common multiple of l and h(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-2))\/((-168)\/14784*44)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 68*h - 57. Suppose -22 = -2*l + 2*d, -4*l + 0*d = 4*d - 52. Calculate the remainder when w(35) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 1780 + 1800 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u**2 - u - 1. Let f be 4\/(-6)*3\/2. Let y be l(f). Suppose j = -3*j + y. Solve 3 = 3*b - 4*t, -3*b = 4*t - j*t - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/2928)\/(2\/(-18))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 139443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.2, 0.4, -2\/87?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 246*p - 370. Determine q(2).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34 - (14\/(-8) + 4\/(-16)). What is the greatest common divisor of 198 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2162, 2151, 2140, 2129, 2118?\n\"Answer: -11*x + 2173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:59 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let a(g) = -47869*g - 4. Determine a(y(w)).\nAnswer: -47869*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z\/z**(-7)))*z**(-3\/5))**(-2\/37)*(z\/(z*z\/z**0))**(-9)\/(z**0\/z*z**(-1)*z) assuming z is positive.\nAnswer: z**(1756\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.74497771 - -17261\nAnswer: 17263.74497771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 b when four letters picked without replacement from {l: 2, q: 6, b: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-6048)\/18))\/((-2)\/(-7)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ddwdkkwkddkdkwkddk?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4715 = -5*m - 5*u, 955 = -6*m + 7*m - 5*u. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8950 = -0*y - 2*x, -5*x = -3*y + 8965. Round y to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -h - 6. Suppose 10*a - 14*a = -h. List the prime factors of 8*a\/(-10) - -59.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/543 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 296\/8601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:12 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502691 to the power of 1\/2, to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 + 3*q**2 - 3*q**2 + (3 - q**2 - 3)*(-44 - 13*q + 44))*(q - 2*q + 2*q) to v*q**3 + x + n*q**2 + k*q + o*q**4 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -341 in -5, -4\/7, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.3 + -1.3. What is the second smallest value in k, -1, -0.4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 431 - 861\/2. Let w = 31\/2 - 16. What is the biggest value in 2\/23, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 6. Let w be t(9). Suppose 0 = -3*q - 9 + w. What are the prime factors of 4\/(-14) + 331\/q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30ac2 (base 13) to base 14\nAnswer: -23c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*c + 5*w, 0 = -c - 0*c + 2*w - 4. Suppose 111 = 5*y - c*y. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59772.156 and -5.\nAnswer: -59777.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -32303?\nAnswer: 32312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 694 - 691. Solve 0 = f*s - 0*s - 3*t - 3, -3*s = 3*t - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27*o**2 + 2. Let f(h) = -4*h + 26. What is f(j(x))?\nAnswer: 108*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2738302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, v: 1, n: 1, e: 2, h: 1}. Give prob of picking 1 v, 1 e, and 1 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1190*q - 2587*q - 3962*q to the form y*q + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2189 - 1512. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 - 22 + 7*k**2 - 25 + 308.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1855 + 3459. Suppose 7*f - 1639 = -s. Let j = 1 + 3. Solve -4*o = -j*u - 20, -o + 24 = -f*u - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-3) - (5289 + -5260)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5836 and 14?\nAnswer: 40852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g + 6*g. Suppose g*b + 2 - 14 = 0. Suppose -3*y = -b, 5*t - 4*y = -y + 54. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/22)\/(1144\/2496).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 37 = 4*u, -2*z - 11 = 5*u - 70. Let c = u - 8. Solve -c*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*18\/(-315))\/((-3)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 39 = -0*i. Let v(d) = -11*d - 12. Let g(u) = -23*u - 25. Let z(p) = i*v(p) - 6*g(p). Let s(j) = -j - 1. What is -4*s(r) + z(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 2.3.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*-40.872\nAnswer: -122.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 2*w**2 - 2. Let c(i) = -i**3 - 3*i**2 + 3. Let g = -20 - -15. Calculate g*q(d) - 4*c(d).\nAnswer: -d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*n - 3*l + 238, 3*n + 36*l - 38*l + 8 + 29 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 552747 from -32718.4.\nAnswer: -585465.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/13, 6, -6.\nAnswer: -6, -0.5, 2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Suppose 114 = -l*x + 315. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*12\/(-16))\/(6969\/(-202))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 174217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1336*x**2 - 283 - 2*x - 1325*x**2 + 3*x)*(0 - 1 - 1).\nAnswer: -22*x**2 - 2*x + 566","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-10)\/12 + (-7)\/(-21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 241. Let r be -1*(-3)\/1 - 0. Suppose -12 = 2*v - r*v. Calculate the greatest common divisor of v and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*g - 13 = 0, -2*l + 3*l + 3*g = 0. Let u(s) = -s + 1 - l - s**3 - 5*s**2 + 7. Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t - 3. Let a be l(-5). Let g(z) = 4*z + z**2 + 50 + 34*z - 3*z**2 - 47. What is the units digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 86. Let s be c(23). Let p = -13 - s. Sort -1, -2, p.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 71*f + 51*f**2 - 1261*f**2 + 39*f**2.\nAnswer: -2*f**3 - 1171*f**2 - 71*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 7*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (-8)\/(-16)*-6. Put 6, i, -33, 5 in decreasing order.\nAnswer: 6, 5, i, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3. Let a = 5 - t. Solve -a*q + 0*l + 2*l - 26 = 0, -5*l = 2*q - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99a012 + -22?\nAnswer: 999bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 483553097 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -231. Let p = l - 160.8. Let z = 11 - p. Is 0.1 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65786*s - 65783*s - 90 = 0 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 12310?\nAnswer: -12266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178903\/22 - 8130. What is the common denominator of q and 10\/12*(-86)\/(-30)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -4007.9171?\nAnswer: -4007.9171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 less than 3912515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/16, -2, -1\/4, -27.29, -0.4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -7. Let b(g) = -g + 4. Let y be b(-3). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3007, 6210, 9413, 12616, 15819, 19022?\nAnswer: 22225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48449?\nAnswer: 48449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/15 - 27*y**5\/5 + y**4\/12 - 35*y**2 - 71*y. What is the third derivative of n(v) wrt v?\nAnswer: -48*v - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2 - (0 - 3 - 0)) + 26 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -71246347?\nAnswer: 7124634b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**3\/15 - 47*m**2\/10 - 98*m\/5 + 3798. Factor v(f).\nAnswer: (f - 49)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 24.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddwdddddwwwdlww. What is prob of sequence ww?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrfffnnrrfiffnlrfr. Give prob of sequence lnf.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -6. Suppose s = -4*t + 53, -3*t = -0*t + 3*s - 51. Suppose -3*j = j - t. Solve 5*p - 26 = -j*i - 0*p, -g = -3*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 - 29 - 30 + 59. Let t(l) = -2*l - 15. Give m(t(r)).\nAnswer: -20*r**2 - 300*r - 1125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 821923596 + -821923676.9540598. Let z = x + -15.0459455. Let w = -96 - z. What is w rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/3 - 829872*h + 42324050\/3 = 0.\nAnswer: -1244825, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31c (base 15) in base 11?\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936, 1922, 2908, 3894, 4880?\nAnswer: 5866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 258662799*p - 493351139 wrt p.\nAnswer: 258662799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -46*a + 42*a. What is the highest common divisor of 51 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407248*l**4 + l**2 - l - 3206.\nAnswer: 9773952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*s + 5, -4*a = 9*s + 46367 - 46375 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1508 divided by -22\nAnswer: 754\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/((-1976)\/513) - (0 - 13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 14 = -h, -2 = -3*h - 5*a - 0*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 377*q**2 + 91*q**2 - 3 + 513*q**2 in the form v*q + n*q**2 + f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 7*h - 92. Let x be r(-14). Factor -134*p**3 + 18*p + x*p**2 + 67*p**3 + p**2 + 66*p**3.\nAnswer: -p*(p - 9)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/21*-1*6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 2*i + 1. Let s be d(-3). Let u = s - -36. Solve 3*a - 8*a = -f + 30, -u*f = -2*a - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104808 and 22638?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32364, -0.08, 0.87?\nAnswer: 32364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000236263 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 9:24 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*k - 5*k**2 - 1052*k + 0 - 1 + 526*k.\nAnswer: -5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 287796 and 9720?\nAnswer: 233114760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 2, l: 5, g: 1}. Give prob of sequence bcc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*u - 37, -5*r = 4*u + 45 - 2. What is the hundreds digit of u - (824*-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 - 4290\nAnswer: -4285.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 268*i + 1457 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 295.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l. Let r(d) = 13973*d - 25. Determine z(r(u)).\nAnswer: -111784*u + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314076 divided by -82.\nAnswer: -157038\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 + -77. Suppose -a*y + 2*y + 22 = 0. Let z(g) = g + 108. What is the remainder when z(0) is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -6*d**4 - 7*d**2 + 9. Find the second derivative of p(i) wrt i.\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -6950*m**4 - 14*m**3\/3 + 9*m**2\/2 - 7*m - 89. Let c be d(-11). What is c rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7133*l - 85771. Give q(12).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48942, 391496, 1321284, 3131922, 6117026, 10570212, 16785096, 25055294?\nAnswer: 35674422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -r, -5*r + 40 = -6*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(-410) + 2\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -104123112 (base 5) to base 9\nAnswer: -767115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 + 3 = 0. Let i be (-4)\/(-6)*6\/(-4). Sort -4, v, i in decreasing order.\nAnswer: v, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 585\/(-72))\/1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/200 + 3*l**5\/100 - 2*l**4\/5 + 6*l**3\/5 - 123*l**2. Factor n(i).\nAnswer: 3*(i - 2)*(i - 1)*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 6 = 4*i, 584*u - 1728*u + 12 = -571*u - 571*u for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Suppose 462*l - 357 + 107 = 512*l. Let b(h) = -39*h. Determine l*b(m) + 130*r(m).\nAnswer: 65*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2169251*l**2 + 8*l**3 - 2169251*l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333618471 to the nearest integer?\nAnswer: 18265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1530 + 13?\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63505703 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56670250 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 66 = -2*l, 0 = 3*i + 16*l - 18*l - 222. Calculate the greatest common factor of 2088 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.2. Let c(v) = -3*v + 1. Let w be c(1). Let q be (w\/(-28))\/((-1)\/4). Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmi when three letters picked without replacement from {s: 1, j: 4, i: 1, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w = 47*w - 236. Let t(h) = -h**3 - 2*h**2 + 26*h - 41. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189601259?\nAnswer: 23, 8243533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -886836 divided by -231.\nAnswer: 295612\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/175*(-3)\/((-18)\/20))\/(525\/3675)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/120 - 17*m**5\/60 + 17*m**4\/24 - 5*m**3\/2 + 9*m**2. Let i be a(-18). Solve -2*c - 17 = -3*n, -i*n + 4*n - 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5634 - -56443\/10. Let m be 2\/8 - (-1764)\/(-16). Calculate the common denominator of 351\/m - 10\/(-5) and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 1, -3*n = 3*u - 2*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiiykkirkakfyfaakay. Give prob of sequence irfi.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2248.390724 and 4.\nAnswer: -8993.562896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 - 4*y**3 + 0*y**3)*(y**2 - 3*y**2 + 5*y**2) - 19*y**5 - 4*y**5 + 6*y**5.\nAnswer: -41*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14094, -0.2, -0.0036?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -180?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 9*r - 14. What is the smallest common multiple of m(-5) and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(-4 + -3*sqrt(12)) + -4*(4 + sqrt(21)\/(sqrt(28)\/sqrt(4))))**2*4.\nAnswer: -95280 - 48960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5690 and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*a = -306, -79*a + 75*a - 16 = 0. Suppose -d*b + 322*b = 80. What is the highest common divisor of 45 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let k be (-4)\/2 - (-6)\/(-3). Let c be 3 + -4 + (-1 - k). Let p(a) = a + a + 2*a**2 - c*a. Determine y(p(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*p - 135*p + 3*j - 9, 3*p - 3 = -j. Let x be (4 + -1*1)*8\/(-984). Sort p, x, 5 in descending order.\nAnswer: 5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p + 35. Calculate r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 29*r - 2. Is o(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(140\/60)*3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + (sqrt(396) - (1*sqrt(396) + sqrt(396) + sqrt(396))) + (sqrt(396) - (sqrt(396) + 1*sqrt(396)*1)) + 0 + sqrt(396)*-1 + sqrt(396) + -2)**2.\nAnswer: -72*sqrt(11) + 3566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t + 17 = 562 - 59. Suppose 3*h = -2*h + 170. What is the remainder when h is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -33*(-4)\/(-48)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*z - 23809833 = -181*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755 divided by -5?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 0, -3*k + 0 = 4*w + 35. Let q = k - -65. Let b = q - 27. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-9) + (-42510024)\/81. Let b = h - -310815. What is b rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = -4*t, -5*k = 5*t - 12 - 28. Suppose 5*g - 3 = k*g. Which is the nearest to -2? (a) 0.1 (b) g (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30*((0 - -7) + (-185)\/15 + 6). Solve w + 5*a = -1, m = 7*w - 3*w - 4*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-21)\/(-98)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/((-7480)\/(-306)))\/((-9)\/3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/108840 and -53\/69.\nAnswer: 2503320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91731264 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-330)\/(-150))\/(3\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 4092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(2\/19))*g*g)\/((g**(1\/5)\/g)\/g)*(g\/(g\/g**(-7)))\/(g\/g**(-3\/13)) assuming g is positive.\nAnswer: g**(-5342\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 7*b**2 + 7*b + 8. Let o be l(6). Let j = 31 + o. Suppose t - j = 146. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0 + 0*m**3 + 0*m + 5\/12*m**5 + 5*m**2 + 5\/12*m**4 + 1\/8*m**6. Factor c(o).\nAnswer: 5*o*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 10*t + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g + 4 = 0. Suppose g + 5 = h. Solve -2*l = -4*q - 3*l - 1, l = 2*q - h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/4 of a week?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -16, 3, 0 in descending order.\nAnswer: 3, 0, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131031 divided by -621.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4 + 21*i + 36*i + 19*i - 73*i. Let r(n) = n**2. What is q(r(t))?\nAnswer: 3*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1337 and 3607814.\nAnswer: 689092474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.4 (c) 110 (d) -4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*m = -15 + 27 - 12. Solve -3*n - 5*f - 10 = m, -61*f = -3*n - 65*f - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + w = -24. Which is the nearest to w? (a) 0.3 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -206.\nAnswer: -1\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1904*x - 87859 + 17411 = 0 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 15*k**5 - 5*k - 2*k**5 + (1 - 1 + k**3)*(-2*k**2 - 2*k**2 - 2*k**2).\nAnswer: 7*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11954 + -11953. Which is the nearest to -2\/7? (a) -5 (b) -25 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2102 divided by -2\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z - 3)*(z + 3*z - 3*z) + 4*z**2 - 3*z**2 - 3*z**2 + 4*z**2 - 3*z**2 + 0*z**2 + (-4*z + 2 - 2)*(5*z + 7 - 7).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 1)*(-2*n - n + 2*n) - 4*n + 0*n + 2*n)*(-1537*n**2 + 909*n**2 - 3284*n**2 - 1050*n**2) + 4*n**3 - 4*n**3 - 2*n**3.\nAnswer: 24808*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-18)\/(-81)*-1*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*m + 2*m = -295*m - 32658 + 990 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 7. Let n be p(-6). Let x = n + 5. Let d(f) = f**2 + f**2 - x*f**2. Let q(u) = 2*u. Determine d(q(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 4, q: 2}. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4337 - 4181. Which is greater: j or -0.45?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31408\/5 + 208076\/35. Is -338 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9770000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfg when three letters picked without replacement from gfggchgh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260.17 - 259. Let x = r - 0.17. Sort -4, -0.5, x.\nAnswer: -4, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(640)*2)\/(sqrt(125) - (sqrt(125) + (sqrt(125) - -1*sqrt(125)))*5).\nAnswer: 48*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 + 47*b**2 - 4*b - 188 = 0.\nAnswer: -47, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 59*y + 89. Let c be l(-28). Suppose n = -3*x - 2*x + 28, 3*n - 3*x = -6. Solve 0 = s + n*i + 2*i + 18, c*s - 5*i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l - 5167 = -77*l + 4171 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - x**2 - 41145 + 41225 + 0*x + 32*x = 0. What is x?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1031102611?\nAnswer: -1031102613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 1. Solve -1 - p = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(4 - 3 + 0)*(2*n**3 + 49*n**3 + 44*n**3) + 2*n**3 + n**2 - n**2.\nAnswer: 287*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + i + 2*i - 3*i + 0*i + (3 + 3 - 4)*(5*i - 3*i - 3*i) + 0*i + 17*i - 4*i + 3*i - i + 0*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1234707816667 - 0.04\nAnswer: 1234707816666.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64059 is divided by 31984?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 125. Let j(m) = m**2 - 27*m - 25. What is the remainder when o is divided by j(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x. Let w(u) = 7*u**2 + 5*u - 5. Let p(t) = 10*t**2 + 7*t - 7. Let a(v) = 5*p(v) - 7*w(v). Calculate a(c(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 3.7, -33, 3\/7, -34\/3.\nAnswer: -33, -34\/3, 3\/7, 4\/3, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:10 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -655, -979, -1305, -1633, -1963?\nAnswer: -2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 2*f**3\/3 + 2*f**2 + 4*f + 33. Let p be c(-3). Let z(g) = -9*g**2 - g. Let h be z(p). Which is greater: -13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 - 14*w - 11. What is f(7)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 greater than or equal to -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t**2 + 2*t**2 + 0*t**2)*(-4 + 1 + 2) + 0 + 0 - 2*t**2 - 10*t**2 - 285 + 285.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663 >= 9662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 + 8 + (1 + 1 - 4)*(-2 + 2 + 2) - 3 - 1 + 2 + (1 + 0 + 1)*(0 + 2 - 1))*(5*f**4 + 10*f**4 - 6*f**4).\nAnswer: 117*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 22. Let t be ((-12)\/36)\/(g\/(-66)). What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 2:33 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173118 is divided by 5770?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*y - 0*y - 188, 2*n = 2*y + 100. Let z = n - 337\/7. Which is the smallest value? (a) -0.5 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40751100 a multiple of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7 + 2 - 20*u - 6 + 2. Let y be r(4). Let z = y - -130. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**6\/105 + q**5\/35 - q**4\/42 - 2*q**3\/21 - q. Factor n(h).\nAnswer: 2*h*(h - 1)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*f*h**3 - 18*f*h + 116*h**3 + 2*h**2 - 2*h + 13 wrt h.\nAnswer: -240*f + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1820)\/(-80) + -21)\/((-7)\/(-2)). Which is the second smallest value? (a) 10 (b) -0.5 (c) 3\/2 (d) 1\/5 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 140580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/377*(-13)\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (307*l**2 - 265*l**2 + 15*l - 148*l**2)*(3 - 3 + 2*l**3).\nAnswer: -212*l**5 + 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -5. Let s = x - 10. Let h = -1 - 0. Put s, h, -5 in descending order.\nAnswer: s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358404376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85924148, 85924153, 85924158?\nAnswer: 85924163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182 - 179. Let s = 13\/20 - 2\/5. Which is the nearest to 1? (a) s (b) 0.03 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*70\/30*72\/84.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12 + 8*n**2 + 8*n**2 - 12*n + 20*n + n**3. What is the units digit of w(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -250021, -499985, -749817, -999451, -1248821, -1497861, -1746505?\n\"Answer: 11*q**3 - 250041*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25581 - -25583. Solve s - 4 = y*g, 0 = -2*g + 156*s - 152*s - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145045 (base 6) in base 15?\nAnswer: -427e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 + 105*o - 10. What is d(21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4929 * -7\nAnswer: -34503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2*r**3\/3 - 1. Let h(x) = 19 - 4 - 34 + 7 + 15*x**2 + 12. Calculate v(h(l)).\nAnswer: 450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*2)\/(-597 + 598))\/(2\/25)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let w(m) = 218*m**2 - 654*m. Calculate 654*k(y) + w(y).\nAnswer: 218*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k + 2*k + 2*k + (-1 - 2*k + 1)*(0 - 1 + 0) + 4*k + 5*k - 5*k + 2*k - 2*k + k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -1988305.\nAnswer: -1988305.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o - 2. Let j(h) = 4*h - 2. Let g(i) = 5*b(i) - 6*j(i). Let u be g(11). Suppose 9*x - u*x = -16. Solve 0 = -x*c + 4*z - z + 16, 0 = -5*z - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 6) to base 10\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x**4 + 248*x + 32*x**3 - 12 - 204*x**2 - 2*x**4 + 26*x**3 + 108 - 88*x**2 = 0 for x.\nAnswer: -12, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.7. Let j = -0.42 + 0.02. Let l = j + 0.3. What is the nearest to l in 2\/9, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136319055569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 7*z**2 - 6*z - 9. Let d be h(8). Let k(r) = r - 6. Suppose -l + 2 - 1 = 0. Calculate the remainder when k(d) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 358684779, 358684780, 358684781?\n\"Answer: o + 358684778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (10 + (-30 - -19))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-150624)\/20920)\/(((-4)\/(-5))\/(-2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 6493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, v: 8, b: 7}. Give prob of picking 4 v.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4306850*x**2 - 2 + 4306852*x**2 + 2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 minus 38097286.7?\nAnswer: -38096141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 4*v**2 - 2*v + 1. Let i be p(2). Let n = i + 13. Let l(t) = t**2 + 9*t + 24. Let a be l(-6). Solve 0 = -4*q - f - a, -5*f = 3*q + n*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*b**3*o**4 + b**3*o - 9*b**3 - 155*b*o - 1184*b + 1 wrt o.\nAnswer: -32*b**3*o**3 + b**3 - 155*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2af282 (base 16) to base 10.\nAnswer: -2814594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 423161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-5*z**2 + 2*z**2 + z**2) - z**2 + z**2 - z**2 + z**2 + 2 - 2 + (2 - 2*z - 2)*(z + 0*z - 3*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 - 53.7. Let k = 54 + p. What is the second biggest value in 4, 1, -15, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6654778 and -18?\nAnswer: 18.6654778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -11 - (12 + 0 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 318732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10, -2*z + 4*z - w + 19 = 0. Let g be 15 + z - 1*3. Solve 1\/4*o + g + 0*o**4 - 1\/2*o**3 + 1\/4*o**5 + 0*o**2 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 17 + 29 - 6833*t + 6828*t.\nAnswer: -5*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let p(r) = r - 15. Let n be p(15). Suppose -u + 9 - 5 = n. Which is the second smallest value? (a) u (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 1, 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, 0.3, -1\/8, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.39, 0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(0 + 24\/68)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u - 3 = 0. Let x be ((-7)\/35*3)\/(u\/20). What are the prime factors of 1\/(-6 - -2) + 1911\/x?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 136, 302, 534, 832, 1196?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -64. Suppose -p = -n - 3. Suppose -23*r + 40 = -p*r. Solve 3*b = b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181104.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-32 + 25)) + (-24 - 15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 107*a**2 + 39*a - 112. What are the prime factors of l(3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 = -62. Let k = 1026 + -931. What is the highest common factor of v and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + (1 - -1). Factor -c*m**4 + m**4 + m**2 + 6*m**4 + 3*m**3 + m**5.\nAnswer: m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeueedud. Give prob of sequence deu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and -0.611?\nAnswer: -0.09165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 10 + 2 - 2*g**3 - 2*g**4 - 14 + 3*g**2 - 2*g as f*g + j*g**4 + b*g**3 + u + z*g**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 3. Let p be o(4). Suppose -3*r + 0*r + 12 = -5*q, -p*q - 8 = -2*r. Sort -6, q, -1 in ascending order.\nAnswer: -6, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.849 times -461.67\nAnswer: -391.95783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-8)\/4*3068\/944.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*z + 93 = 0, 4 = -z + 2. Let u = h + 29. Let d = u - 8. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46794 + -8797043.45?\nAnswer: -8843837.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 65\/(-3 + 2) + 0. Let d = i + 78. Suppose -41*c + 38 = -40*c. 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: Let k(w) = 16*w - 4. Let z be k(3). Let v be ((-16)\/10)\/(60\/(-150)). Let m be (2\/4)\/(v\/88). What is the greatest common factor of m and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -22 and -1438253 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5438*y = 5439*y + 9. Let s(j) = -j**2 - 9*j - 14. What is s(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/((-1862)\/(-147))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1338636 by -4.\nAnswer: 334659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -4*y + 1, -14 = 6*y + 4*a - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3704764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2570176 rounded to the nearest 10000?\nAnswer: -2570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 11*l + 2 - 32*l.\nAnswer: -43*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 11 + 10. Suppose -8*f + 34 = -z*f. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4\/24 + 4*x**2. Let k(v) = 6*v**2 + 2*v. Determine k(c(j)).\nAnswer: 6*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 34, 118, 276, 532, 910, 1434?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-24 - -10) + 16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 38. Are u and 6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014260 - 2014260 - 409*u.\nAnswer: -409*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -700*b + 18292. Calculate the remainder when 5700 is divided by f(26).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 2. What is p(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 396 or 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-50445)\/(-59))\/(-57))\/((6\/2)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977481692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -146, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59465 divided by -1.\nAnswer: 59465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10. Solve y = -2*u + 3*r - 2 + 3, -4*r - 8 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*x = -20, 5*i - 7 - 7 = x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 3. Let w = -2639\/68 - -681\/17. Which is the nearest to n? (a) -0.5 (b) 21 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 14. Let t(m) = -m**3 - 6*m**2 - 5*m - 3. Let f be t(p). Let d be (-6522)\/6 + f + 0. What is d rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 44 = -30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 128, 134, 144, 158, 176, 198, 224?\n\"Answer: 2*p**2 + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*w - 16*w - 19*w**3)*(-2*w**2 - 4*w**2 - 4*w**2) - 2*w**5 + 4*w**5 - 4*w**5.\nAnswer: 188*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82327*c = 82318*c + 153 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3989775468 rounded to two decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2823.72 - 2593. Let a = d + -1477.35. Let s = a + 1241. Round s to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvpvpvvvvvvv.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 96. Suppose 0 = -4*k, -i = -m - m + 2*k. Suppose 98 = 3*p - 3*h + 20, 2*p - 62 = -3*h. Calculate the remainder when p is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d**(5\/6))\/(d**(2\/5)*d)**28 assuming d is positive.\nAnswer: d**(-3433\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4602)\/(-9) + (-3)\/9 - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -7)\/(1\/(-15)). Let h(x) = x**2 + 4*x - 4. Let b be h(1). Let s be 2*1 + (4 - (b - -4)). Is s >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75426428*p**3 + 12*p + 196378.\nAnswer: 452558568*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, g: 6, h: 2}. What is prob of picking 3 q and 1 g?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 658067 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434.835 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -240488 - 5?\nAnswer: -240504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1093 - 1102. Let w(q) = -q**2 - 7*q - 14. Determine w(i).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + y + 90 - 15 = 0, 5*y = 3*o - 45. Let b = -4 + o. Suppose -20 = -4*m + 3*m. Calculate the remainder when m is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37268 rounded to the nearest 100?\nAnswer: 37300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(1573))**2*6 + sqrt(1573)) + 6*(sqrt(1573) + -2)**2*5.\nAnswer: -1287*sqrt(13) + 160566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 at most 740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000124 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*5*(0 + -5*sqrt(117)*2 + 5) + -5)**2.\nAnswer: -114000*sqrt(13) + 4689030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*w - 8, 14*w - 2*l - 28 = 19*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 3*z - 525. Let d(u) = -17*u**2 - 13*u - 2102. Give 2*d(p) - 9*f(p).\nAnswer: 2*p**2 + p + 521","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32859329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11 = 4*q, -2*j + 4*q + 29 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 3*c**2 - 3*c - 2. Let h be i(4). What is the tens digit of (-189)\/(-14) - h\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9836.\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (1219\/(-46) + 23)*(-2525716)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (175\/2800)\/((-2)\/8). Which is the fifth biggest value? (a) -6\/7 (b) 4 (c) 0.1 (d) -5 (e) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.912424 plus 176.74?\nAnswer: 259.652424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 1 + -2) - sqrt(98) - (sqrt(98) + 4*(sqrt(98) + (sqrt(98) + 1 + sqrt(98) - sqrt(98)) - sqrt(98))))*-1*-2*-4*2)**2.\nAnswer: 64512*sqrt(2) + 905472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1106 + -1106.4. Let n = -2.4 - c. Let s = -711\/2 + 370. What is the nearest to s in 0.4, -2\/13, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82247 + -15670. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5962 - -3.3005. Let b = 50.3 + -48. Let u = b + q. Round u to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1 + 1)*0. Suppose w = -0*x + 2*x. Suppose 10462*s = 10468*s - 12. Sort x, 57, s in ascending order.\nAnswer: x, s, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324776.\nAnswer: 2, 3, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Suppose -2*n - 18 = -z*n. What is the lowest common multiple of 33 and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 3, m: 3, g: 10}. Give prob of picking 3 g.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3147120 and 50760?\nAnswer: 3147120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 977 = 2*s + 157, -v = -2*s - 1110. Let g = -553 - s. Solve 0 = 3*c - n - 20, 2*n = -g*c + 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 - 7*p - 7. Let i(g) = 2*g**3 + 4*g + 3. Give -3*b(w) - 5*i(w).\nAnswer: 2*w**3 + w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10352344 (base 7) to base 11.\nAnswer: 556323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3186.4011 to 0 dps.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by 87.\nAnswer: -224\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 20001, -3.\nAnswer: -4, -3, -1, 20001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1111110001111100100 (base 2) to base 5\nAnswer: 113021332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1164 and 984.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7144*c + 7199*c + 55 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/17)\/a)\/(a\/(a*a**(-14))))\/((a\/(a*a**(-5)))\/(a*a**(-2\/13))))**(-5\/2) assuming a is positive.\nAnswer: a**(21035\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437248856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:35 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1088*z**5\/7 + 4338*z**4\/7 + 3208*z**3\/7 - 6*z**2 = 0. Calculate z.\nAnswer: -3, -1, 0, 7\/544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - 0)*(-7)\/14. Suppose -d*i - 168 + 418 = 0. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(6\/7))**(-19))**(-1\/10) assuming y is positive.\nAnswer: y**(57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1350*j + 4083*j - 1383*j - 1395*j.\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 127, 329, 653, 1123?\n\"Answer: 4*i**3 + 25*i**2 + i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*k + 6193 + 7663 - 1324 = 0 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2\/2 + 380031445*u + 28884779837757605\/2 = 0.\nAnswer: -76006289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-30) + (18 - 4194873\/(-135)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 65760?\nAnswer: 460320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4469 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(-5*(sqrt(143)*2 - sqrt(143)) + sqrt(143) + sqrt(143) + sqrt(143) + -1*sqrt(143)*4 + sqrt(143))\/(sqrt(33)\/(sqrt(33)\/sqrt(176))))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) + sqrt(1377)*2 + 5)) + 1)**2.\nAnswer: 144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i. Let u(x) = -459*x. Let p(c) = 68*s(c) + 3*u(c). Let y(n) be the third derivative of -11*n**4\/24 + 82*n**2. Give 5*p(k) - 8*y(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 4*b + 2. Give c(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449493 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14450 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 463377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1439106 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1954 + -1901. Solve 4*s + 73 = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2487 and 75.\nAnswer: 62175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2)\/sqrt(5))\/(sqrt(324) - (sqrt(324)*-2 - sqrt(324))) + 5.\nAnswer: -sqrt(11)\/18 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 273, -1719, -6281, -14271?\nAnswer: -26547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -12 - (4 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50319 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 105?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 23*b - 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16994 is divided by 184?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/11))**(-40)\/(j**(-1\/3)\/j*(j*j**2)\/j) assuming j is positive.\nAnswer: j**(-1102\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31087 - -67?\nAnswer: 31143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joxoovojoxjjyxjjzzjj. What is prob of picking 2 o, 1 y, and 1 z?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/33059?\nAnswer: -9\/33059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-2)\/sqrt(6) + sqrt(26)\/sqrt(2) + -1.\nAnswer: -sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -70a6341 (base 11) to base 13\nAnswer: -27a7c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/7 and 63\/946.\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 9. Let h = 50 + -39. Let g(l) = -11*l + h*l - l. Let n(u) = -d(u) - 2*g(u). Let y(a) = 2*a + 22. Calculate 12*n(i) + 5*y(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from sssspsfpssjj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468) - (sqrt(468) + -1)*4)**2 + 5*sqrt(1573) + -2 + (sqrt(13)*3)**2.\nAnswer: -16797 + 631*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38116 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Let b(n) = -n**2 + 9*n - 6. Let t be b(8). Let v(f) = f**2 - 3*f**2 - 3*f**t. Calculate v(u(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v - 8*l - 96, -142301*l = -4*v - 142305*l - 48 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27174 by 647.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4245 = 4*n - 21. Let y = 2\/41311 - 85389841\/82622. Let t = n - y. Find the common denominator of 97\/10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -24*r - 5. Let c(m) = -m + 1. Give -a(j) - 5*c(j).\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/((-18)\/(-1444)) - 6. Let x = f + -361. What are the prime factors of x?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441351525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = -5. Let b be (324\/(-5))\/((-18)\/135). Suppose f*y - o - b = 0, 4*y = 6*y + 5*o - 189. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22590 + 451.9992.\nAnswer: -22138.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {w: 1, x: 1, p: 1, o: 3, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -15 (b) -8\/29 (c) -2\/49 (d) 2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*p + 71*p - 10*p + 1)*(8 - 1 - 4).\nAnswer: 75*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y + 87. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11222120330 (base 4) in base 15?\nAnswer: -1e4c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1096 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 158072 (base 9) to base 14\nAnswer: 278a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.11 - -17. Let t = l - -0.41. Suppose -3*x - 4*s + 15 = -7*s, -15 = -3*x - 5*s. Which is the biggest value? (a) x (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 382 = 4*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142458 + -142458.60057. Let a = g - -0.6. What is a rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7119767 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41092.17393 - -41092. Let t = m - -0.175. Round t to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35.79? (a) -0.4 (b) -4304 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 0*h**2 + 18*h + 49 - 15*h.\nAnswer: -2*h**2 + 3*h + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.5559 rounded to zero dps?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -226.38 and -3.7.\nAnswer: 837.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 18, -2.7, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7626890191.\nAnswer: 787, 9691093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnlll. What is prob of sequence nll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + 7)\/2 - (-18 - -5). Solve -3*s + 4*w = 5*w - 1, -4*s + o = -4*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2356 - -2391. What is the highest common divisor of j and 2240?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/12)\/((-32)\/((-1408)\/(-66)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*i + 4*d - 14 = -346*i, 2*i - 9 = d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d**3 - 4*d**2 - 3*d. Let w(p) = -p**3 - p**2 - p. Calculate -k(g) + 4*w(g).\nAnswer: 11*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0, -15 in ascending order.\nAnswer: -15, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l - 26*l - 22*l + 8*l to h + u*l and give u.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:07 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 51. Solve -t = t + 3*u + i, -4*t + 9 = -3*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*n + z, 3*n - 4*n + 19 = 5*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -2754007775.08.\nAnswer: -2754007774.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*h + j, -h + 5*j - 3 - 6 = 0. Suppose -5*s + 3 = -17. Suppose s*z - h = z. Solve -z = 3*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*(-79 - -24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*q. Suppose q = -p - 4. Let z be 11*2*(-3)\/p. Calculate the highest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 - 13136456*h\/7 - 3753272.\nAnswer: -2*(h + 2)*(h + 6568226)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7710319 (base 11) to base 13\nAnswer: 2a625bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -26331610?\nAnswer: -26331603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064351 - -0.76852.\nAnswer: 0.704169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkknnnknnnk. Give prob of sequence nn.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j + 11. Let r(v) = 3*v + 4. Suppose -2*p = -3*i - 10 + 2, -i = 3*p - 12. Let y(g) = p*k(g) - 11*r(g). Give y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*-1*(-4 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*v - k, -15*v - 2*k - 5 = -10*v. Which is bigger: 5\/12 or v?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24499 is divided by 194.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452167 is divided by 452019?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 373 + -168. Suppose 4*z + 51 = -b. Let n = 23 - z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 19 = -10*g + 11*g, -4*g + 3*k = -24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-12))\/((-6)\/12)*21\/2. Sort 5, t, 124 in decreasing order.\nAnswer: 124, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k = -3*j + 55*k + 1, k + 12 = j. Calculate the highest common divisor of 3269 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -173, -84, 31, 172?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 3. Let d = -60 + 62. Let a be c(d). Sort 2, a, -1 in ascending order.\nAnswer: -1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 4*o + 378 = 26*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.99 - 0.01. Let j = x + -22. Let b = j + 24.999956. Round b to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -402. Let q = -337.99999811 - g. Round q to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*s = 2*s + 173, -q = -2*s - 157. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) -6 (c) -72\/25 (d) 10 (e) -0.4 (f) -0.5 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.5, -6, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6042 - -6045. Solve 6*s + 9 = 4*s - w*v, 3 = -v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(17\/3)\/(g**(3\/4)*g*g**(2\/3)\/g)*(g**0)**2\/(g\/(g*((g*g*g**4*g*g)\/g)\/g)*g**(2\/5)) assuming g is positive.\nAnswer: g**(359\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 + -0.3. Let x = -0.1 + -0.3. Let a = -2.97 + -0.03. What is the closest to -1\/4 in x, a, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z**1\/z))*z**(-2)*(z*z*z**1)**44*(z\/z**(1\/2))\/(z*z**(-2\/9)*z*z)*z**4\/(z**3\/z) assuming z is positive.\nAnswer: z**(2335\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-15) + 224\/105. Suppose -3*s - 56 = -71. Solve -5*m + 8 = -u, -x*u - 1 + 0 = s*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -12 (c) 3\/5 (d) -0.3 (e) 0.5 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34 + 41 - 262*w**3 + 2*w**4 + 302*w**3 - 47*w + 138*w**2 + 211*w + 57.\nAnswer: 2*(w + 1)**2*(w + 2)*(w + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 15*c + 75 = 0. Solve k - c*v + v + 7 = 0, 4*k = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14614+54.16\nAnswer: -14559.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1617791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -w + 1508, -13*w + 9*w = -4*f - 6032. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1751 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697867857 is divided by 2274?\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69279291 is divided by 311.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1646, -1646, -1648, -1652, -1658?\n\"Answer: -f**2 + 3*f - 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.46 or 2409?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -21. Let q = v + 16. Let h = -4 - -7. Solve -5*c + 11 = h*d, 5 = -q*c - 5*d + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 10, b: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1455 + -46014?\nAnswer: -44226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s - 7. Let f(l) = 8*l + 5. Give -7*f(w) - 5*p(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a. Let y(z) = -19*z - 17. Let x(g) be the third derivative of -7*g**4\/24 - g**3 + g**2 - 98. Let v(h) = -17*x(h) + 6*y(h). Calculate t(v(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -763.3 - -743.3. Which is smaller: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b199 (base 13) to base 12\nAnswer: 8096b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2411173120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h - 20. Give i(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j - 35 - 10 - 85 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 227\/11? (a) -1\/3 (b) -3\/4 (c) 98 (d) 0.1 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -3398115?\nAnswer: 3398118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10270 + 5726 = -112*q + 10240. Solve 0 = q*i - 133*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44725292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 6*i - 7. Let g be y(-3). Let o be 94\/10 - (-4)\/(-10). What is the second derivative of g*b**5 - 3*b**5 + 12*b - o*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 8. Suppose a*j + 27 = 3. Let x(r) = -r**3 - 6*r**2 + 2*r + 7. Give x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q. Let p(h) = 3*h + 4. Let r(j) = -14*j - 18. Let d(v) = -9*p(v) - 2*r(v). Let z(l) = 18*d(l) - 5*i(l). Give z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91376.89 or 80?\nAnswer: -91376.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60911789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*k - 30 = -16, 0 = k + 4 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.8 + -7.799997. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(192) + 4)**2.\nAnswer: 64*sqrt(3) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/160*(-772)\/(-1351)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/36, 4, -0.04, 200\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 3?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111481907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8334, -1, -4, 284, 1 in descending order.\nAnswer: 8334, 284, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11845 and 412?\nAnswer: 47380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1139815 or 1139816?\nAnswer: 1139815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-36)*(1 - 2 - -4). Which is the closest to u? (a) -0.1 (b) 2\/11 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let d be (150\/25 + (39\/(-2))\/3)\/1. Sort 2\/5, -2\/11, g, d in increasing order.\nAnswer: d, -2\/11, g, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1499 + -1502. Let q = 9\/65 - 1\/195. Which is the fourth biggest value? (a) m (b) -1\/6 (c) -5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.282*372.\nAnswer: -104.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -1\/7, -3611, 8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(363) + -1) + 4)*6 + (4*(sqrt(15) + sqrt(540)))\/(sqrt(20)\/(sqrt(4) - sqrt(36))))**2.\nAnswer: -13536*sqrt(3) + 107328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2331 and 10656.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -1\/4 (c) 214\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 15*n + 6. Suppose 5*w - 34 = 121. Let c = w - 27. Calculate the smallest common multiple of c and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 365301950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 121\/1 - 3\/1. Solve 388*u**3 + 300*u**2 + b*u + 16 + 60*u**5 + 244*u**4 + 0 - 6*u = 0 for u.\nAnswer: -1, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 1. Let b be s - (2\/(-2) - -3). Let l(v) = 4*v - 1. What is the remainder when l(b) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17)*-2)**2 + sqrt(17) - sqrt(17) - sqrt(204)\/(sqrt(36)\/sqrt(3)).\nAnswer: -sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1233 - -1250. Solve 40*z + 143 = -f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 857\/77*24\/1488. Let x = r + 1\/434. What is the nearest to -1\/2 in 8\/5, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 17 = -5*b, 2*m + 7 = 2*b - 3. Let c = m - -9. Sort c, 3, -2 in decreasing order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 3. Let v = 199\/210 - 4\/35. Let d = -61.7 + 61.2. What is the second smallest value in n, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-3 - -1)) + 748 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*n**4*v - 2*n**3 + 6*n**2*v + 728*v wrt n.\nAnswer: 32*n**3*v - 6*n**2 + 12*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrf when four letters picked without replacement from {m: 2, r: 4, f: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, -2\/17, -3\/4, 33\/5 in decreasing order.\nAnswer: 33\/5, 1.6, -2\/17, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*y + 1899 - 10227 = -172*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, -6, 2, 253 in ascending order.\nAnswer: -6, 2, 215, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110724349*z**2 + 23356722*z?\nAnswer: -221448698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/212 or 1?\nAnswer: -15\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 y when four letters picked without replacement from yynyyyzymynmyff?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 - 59. Let w be m(0). Let k = w + 84. Let l = -685 + 885. What is the greatest common factor of k and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*f - 10. Let t(m) = m**2 + 2*m + 2. Let v be t(-3). Factor -10*d**3 + 2 - 3 - v*d**4 + 0*d**2 - 10*d**2 - 5*d - d**f.\nAnswer: -(d + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2055 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjyjyjyyyjjjyjcyy. What is prob of sequence yj?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5667*f + 5667*f + 2*f**2 + 233 - 115 - 118.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 274032 a multiple of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 7, v: 1, y: 6}. Give prob of sequence yv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 16*d**2 - 4*d - 78. Give z(-6).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 30. Suppose p*m = -5*m - 50. Calculate the common denominator of 39\/m + 0 - 3\/(-6) and 7\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let i = 11 + -11. Let k be 3 - (3 - (2 + 0)). Solve -k*n + 6 + s = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(4\/2 + -4). Let f = g - 1. Calculate the remainder when f is divided by (-10)\/(-2) - 0\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 223c17db + -4?\nAnswer: 223c17d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.8, 0.1, -1, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -282 - -601. Let c = 425 - z. Which is bigger: c or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than -117\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**5\/120 + b**4\/4 - 20*b**3\/3 - 10. Let t(d) be the third derivative of z(d). Let k be t(-3). Solve -2*u + k*u = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -18*z**2 - 12*z - 20. Let r(p) = 7*p**2 + 5*p + 8. Let n(k) = 12*r(k) + 5*s(k). Let w(v) = -3*v**2 - 2. Calculate -2*n(y) + 5*w(y).\nAnswer: -3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198741?\nAnswer: 3, 31, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 23. Suppose 10020 = g*z - 26*z. What is the hundreds digit of z\/17 - 16\/(-136)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 114.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7 - 41. Let r(g) = 4572*g**3 + 3*g**2 - 16. Let p be r(w). What is p rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -484*w**3 + 951*w**3 + 37*w**4 - 34 - 468*w**3 to s*w + d + x*w**4 + v*w**3 + r*w**2 and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/13, -0.1, 176, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 + 1 = 0. Suppose -3*j + i + 12 = y*i, 0 = 2*j + 4*i - 6. Suppose 9 = o + q, 2*q + 45 = j*o - 0*q. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z**3 + 94*z**2 - 256*z - 70 = 0 for z.\nAnswer: -1\/4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*s + 10, -3*s - 5739*q = -5742*q + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqwwjqjjgh. Give prob of picking 1 h and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 32218.3197us?\nAnswer: 0.00000005327103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvvpxnvypyyxxvy. Give prob of sequence xn.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9cb (base 15) to base 16\nAnswer: 8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 + -214. Solve n + 1 = 4*z - 2, -2*z = 2*n - h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 15, 2\/5, 4, -6\/2833?\nAnswer: -6\/2833","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6.3. Suppose -p + 8 = 3*p. Sort p, b, 1\/11 in decreasing order.\nAnswer: p, b, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 113. Let x be h(-19). What is the highest common factor of 360 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-14))\/(((-15)\/(-266))\/(-5)). Let f = 95 - j. Calculate the smallest common multiple of 29 and f.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 2. Suppose -23 = -3*y - 2*b, -1170*y + 1169*y + 3*b = 18. Solve c - 2 + 9 = -d*u, -y*u = 2*c + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3 - 1\/12. Let d(r) = 2*r + 8. Let b be d(-8). Let q be b\/5 + 0 - -2. What is the closest to q in 4, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from alrbajjaaaarbraija.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 a when three letters picked without replacement from {a: 3, t: 1, s: 4, k: 5}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 44*q - 43*q - 48, q + 17 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165053094 - 32.5789.\nAnswer: 165053061.4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*s - 1592, -16*s + 19*s + b - 1206 = 0. List the prime factors of s.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2226997*d + 835840 wrt d?\nAnswer: -2226997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*o**3 + 213 + 215 - 429.\nAnswer: 614*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281648367.77000759 - -281648707.77. Let h = p - 340. Round h to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 175830 and -36.\nAnswer: -6329880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 26*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3920\/(-5488))\/(60\/(-16))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -25 + (19 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 235\/9578 or -1?\nAnswer: 235\/9578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 4*a**2 + 10*a + 3. Let f be r(-5). What is the second derivative of 16851 + 58*w**2 - 16851 + f*w wrt w?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1202 - 1209 - (-1 + (-1 - 1 - -14)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 385*f + 390. Let s(u) = -6*u**2 - 2697*u + 2730. Let o(k) = 27*c(k) - 4*s(k). Factor o(d).\nAnswer: -3*(d - 130)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7. Suppose l = c + 5 - 1. Let s be (-23)\/c + (-2)\/(-8). Solve 0 = w - 3*v + 5*v - s, -v + 25 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.84, -1.8871, 1 in descending order.\nAnswer: 1, -1.8871, -6.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -49. Suppose x = 3*a - 9. Suppose -a*l + 142 = -3*j, 0 = -4*l - 0*l + 2*j + 140. Calculate the remainder when l is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o + 29*o + 4 - 37*o + (3*o - 4 + 4)*(-13 + 7 - 7) in the form k*o + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1a5?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5176019 minus 0.5?\nAnswer: -1.0176019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6*2\/(-3))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761418 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1 + 0*u**2 - 4*u + 0*u - 9*u + u**2. Let a be ((-52)\/(-6))\/(41\/3 - 13). Determine t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*4\/20)\/((-2)\/(-4)*-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:40 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 3*c - 3. Let r(f) = 14*f**2 - 8*f - 8. Let q(x) = -8*i(x) + 3*r(x). Let o(u) = -47*u. Determine o(q(w)).\nAnswer: -94*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1693657*c**2 + 682*c - 1146 wrt c?\nAnswer: -3387314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -17*b - 517. Let p be a(-31). Let d(o) = 3*o - 17. What is d(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-814)\/(-12) - 98\/(-84). What is the highest common divisor of 4899 and k?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3081678 (base 9) to base 2\nAnswer: -110010010010111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2577990 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.53621 weeks in days?\nAnswer: 682.75347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 2}. What is prob of picking 1 d and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.17 (c) 0.2 (d) -3\/2 (e) -20\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2526894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 10*l**2 + 3*l - 9. Calculate a(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 times -0.7611?\nAnswer: 260.2962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 4*n**2 + 3. Let k be t(4). Let l be (-1 - -1)*(-2)\/4. Suppose -5*s + k*s + 50 = l. What is the common denominator of s and 40\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 10*u**2 + 27*u + 37. Let z be t(-12). Suppose 3*n + 5*o + 2 + z = 0, -3*n - 4*o = 0. What is the remainder when 106 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 33*k**2 + 227*k + 28. Calculate m(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24559?\nAnswer: 41, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -5 (b) 3\/2 (c) -0.4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16021 - 6*p + 18*p + 16012 + p**2)*(-1 + 0 + 0) as k*p + y*p**2 + q and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 0.01 (c) -19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/5 + 3*u**4 - 18*u**3\/5 = 0. What is u?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5591 + 24062. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19233*l. Let m(z) = 2*z**2. Give f(m(w)).\nAnswer: 38466*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 4 - (-2 + 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 2:10 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 5*b - 48 + 48 - 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669950295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92871828 is divided by 46435891.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2*y**2 + y - 5*y**2 + 2*y**2 = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4990246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in 18, -0.01126, 5?\nAnswer: -0.01126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2691 - -2700. Suppose 0*o + 6 = 2*o. Suppose -5*v = -5*t - 235, -5*v + v + o*t = -183. What is the remainder when v is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -5*r - 2*o, -2*r + 5*o = -r - 6. What is the remainder when 90 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 8)*(-3 + 3 + 1) - 4 + 4 + 1 + (5 - 1 - 2)*(-12 - 9 - 12))*(3*s - 3*s + 2*s).\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 + 333 + (-3 - (-3 + -11 - 8)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2854812 and -0.041.\nAnswer: 117047.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/14 and 109\/1518.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose -f - 12 = -n*f. Let m = -9 + f. Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + q**4 - 4*q**4 + (-11086 + 5546 - 68*q + 5541)*(-2*q**3 + 2*q - 2*q).\nAnswer: 134*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2745 divided by -549.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 34 = 3*u. Suppose -90 = -x - 4*m, -2*m + 84 = -x + u*x. Calculate the remainder when x is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(1573) + ((sqrt(1573) - sqrt(1573)*-1)*-1)**2 - ((sqrt(1573) + 1)*-5 + sqrt(1573) + sqrt(1573)))*6.\nAnswer: 6336*sqrt(13) + 906768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 + -624021?\nAnswer: -624147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*a**3 + 5028*a**3 + 283*a**3.\nAnswer: 4410*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 6*z - z)*(z**2 - 2*z**2 + 3*z**2)*(-1048*z - 40*z - 273*z).\nAnswer: -5444*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 557. Suppose -q = -2*p - 3*p. Let s = 10228 - 10214. What is the greatest common factor of s and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 divided by 210929?\nAnswer: 602\/210929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)*1\/1. Suppose -3 = -v + 13. Suppose -4*q = -0*q + v. Sort q, -2, m in increasing order.\nAnswer: q, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192146, 192144, 192142, 192140, 192138, 192136?\nAnswer: 192134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 146*h**2 - 453*h + 234. Determine c(-76).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/((v*(v*v*v**(-2\/15))\/v)\/v*v)*v**(-1\/3)*(v\/(v\/v**(2\/13)))\/(((v\/(v*(v*v\/(v**(-7)\/v*v)*v)\/v*v))\/v)\/v) assuming v is positive.\nAnswer: v**(777\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwrddwvyrlryrryywl. What is prob of sequence yl?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000559 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.2 (c) -5 (d) 2\/7 (e) -294008 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/24 - ((-7)\/(-3) + -2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11113332 + -11?\nAnswer: -11120003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 446565 and 27.\nAnswer: 446592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455651234.\nAnswer: 2, 73, 16819529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -997, -1517?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/882 and 151\/84.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvqvqvvvqvvv. Give prob of sequence vqvq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124665631?\nAnswer: 19, 2131, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (696\/(-14))\/29 + 198\/91.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 243\/(-120)*2) + (-16)\/(-80). Let t = 7 + -4. Let z = t + -4. Sort z, 4\/5, r in decreasing order.\nAnswer: 4\/5, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 12:51 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + ((-106)\/159)\/((-1)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (5 - 0))*(-3 - (-1972)\/663)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11206754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4201, -16847, -37927, -67441, -105389?\n\"Answer: -4217*m**2 + 5*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/19 - 40*g**2\/19 + 186*g\/19 - 252\/19 = 0. What is g?\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (276\/(-18))\/(2\/(-9)).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -3, 3093, -0.4, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 48, 49, 48?\n\"Answer: -q**2 + 6*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7082 a factor of 3653398422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -164. Let k be (-20)\/(-6)*12\/10. Sort k, 0.04, o in decreasing order.\nAnswer: k, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:44 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 + 430. Let q be (-28)\/(-5) + 8\/20. Let p be (40\/q)\/((-4)\/(-18)). What is the greatest common divisor of d and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1525056*n**4 + 2343*n + 347?\nAnswer: -18300672*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 13*h**2 - 8*h - 26. Suppose 3*p - p + u = 443, -p - 5*u + 235 = 0. What is the lowest common multiple of p and g(12)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)\/(v**5*v)*v**(-1\/9)*v**(4\/7) assuming v is positive.\nAnswer: v**(-761\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1 - 1)\/1. Suppose 4*j - 1137 = 8*z - 3*z, -15 = 3*z. Let u(a) = a**2 - 2 + 280*a + 3 - j*a. Calculate u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1 + 0 + 4*y - 3 + 13*y. Let b(x) = 4*x - 1. Calculate -9*b(f) + 2*q(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 e, and 1 d when four letters picked without replacement from {b: 4, o: 2, d: 2, e: 8}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 55*t + 2135. Let r be y(-39). Let z(f) = -f**2 - 3*f + 63. What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5899, 5893, 5885, 5875?\n\"Answer: -i**2 - 3*i + 5903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l - 4 = 0. Let y(w) = -w**2 + 2*w + 2*w + 3*w**2 - 4 + 0*w**2. What is y(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 7:10 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 126622.\nAnswer: -291230.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*((3 + sqrt(343)*2)*2 + 0)*5)**2.\nAnswer: 33600*sqrt(7) + 552403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -875, -3973, -9141, -16385, -25711?\nAnswer: -37125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916885475.\nAnswer: 3, 5, 8519491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -21. Find the common denominator of -45\/22 and (142\/(-12))\/(12\/x).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235196374*w**3 - 105055*w - 86.\nAnswer: 1411178244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (182\/21)\/(-2) - (-1)\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057086937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbbb when four letters picked without replacement from {z: 5, b: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-17)*i**18\/i*i**(-30)\/(i*i**(1\/24)*i) assuming i is positive.\nAnswer: i**(-769\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 244*v - 1764. Let o(z) = 69*z**2 - 163*z + 1176 - 145*z**2 + 77*z**2. Let t(n) = -5*g(n) - 8*o(n). Factor t(h).\nAnswer: -3*(h - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/120 - u**5\/15 - u**4\/4 - u**3\/3 - 4*u**2. Does 11 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*f + 22 = 3*o, -2*f = 3*o - 5. Suppose -20 = -l + 5*a, o*l + l + 5*a - 80 = 0. What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/31)\/((-10)\/(-4) - ((-390)\/18)\/(-13))\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 670920 and 55320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7659.\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824 = -60*m + 284 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 150707073 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1628591, 1628592, 1628593?\n\"Answer: i + 1628590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-299 + 299 - 130*r)*(4*r - r - 4*r + (-3*r + 4*r + 0*r)*(-3 + 0 + 1) - 1 - r + 1 + (-3 + 7 - 3)*(3 - 2*r - 3)) as b + p*r + w*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11387 - -11387. What is the nearest to 6 in 0.1, -456, z, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 2469*u**2\/4 + 514113*u\/4 - 2509215\/4.\nAnswer: 3*(u - 409)**2*(u - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*n + 0 = 27, -3*p - 5*n + 19 = 0. Calculate the greatest common factor of 56 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.69 (c) 702488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*m - 4. Let w be m\/2 + (-3)\/6. Suppose 5*c + 6 = 31. Solve 5*o + 2*x = -20, w = -5*o + c*x - 3 + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1) + 4 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 175*w - 89. Let a(q) = 87*q - 45. Let t(h) = 5*a(h) - 2*j(h). Let n(i) = -i**3 + i**2 + 3*i + 2. Let b be n(-2). Is t(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 4*k**5\/5 + 1909*k**2. Let g(l) be the second derivative of -l**4\/12 + 2*l. What is y(g(m))?\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(15\/3))\/(2*1). Suppose -13 = -2*g + 3*x, -5*x + 6 = -4*g + 31. Suppose -c + n = g*n + 17, 2*c - 4*n = 14. Is c >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:23 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/10 - -7\/20. Let n = 1.3 - 1.6. Let y = -0.06 + 0.36. Sort k, n, y in descending order.\nAnswer: y, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 5*y - 21 + 17, 4*a - 2*y = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**7\/105 + v**6\/15 + v**5\/30 - v**4\/2 + 1251*v**2. Factor b(h).\nAnswer: 2*h*(h - 1)*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.58241, -5, 62?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*a + z + 262 = 0, 0 = -5*a + 315*z - 316*z + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/13 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:07 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24834?\nAnswer: 2, 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j + 2. Let k(z) = 8*z - 1. Determine 4*k(l) + 3*q(l).\nAnswer: 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -3. Let y = 27 + -161\/6. Let n = -163\/445 - 3\/89. Which is the closest to n? (a) 0.3 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (2\/5)\/(19\/((-6270)\/(-44)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66749, -66830, -66911?\n\"Answer: -81*d - 66668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9663 take away 30.957?\nAnswer: -9693.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - 0.16. Let t = 0.17 - d. What is the nearest to 0 in -0.3, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 1. Let i be z(2). Suppose i*y - 80 = -y. Suppose -2*s + 4*f + 56 = 16, 2*f - 4 = -s. What is the lowest common multiple of y and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-12) + 192540\/16. Suppose y = -932034 + c. What is y rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465766288.\nAnswer: 2, 13, 1193, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1 = 2*g, -92*g + 270*g + 3 = 89*g + 88*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3\/8 (c) 0.1 (d) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k + 4850000 = 0. Round k to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.206 - -4.09. Let i = -9.286 - c. Let y = 8 + i. What is y rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 20*y - 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (-16 - -7)) + (-7 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200953451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 20. Let h be v(13). Let d = 80 - 130. What is the tens digit of (d\/(-4))\/(3\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*c + 24, -14*c - 9*c + 5*y - 30 = -26*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284*1.4.\nAnswer: -397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 11:23 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 2:23 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 37. Let f(z) = w*z + 6*z - 24*z + 10*z - 2. Let k(s) = s**3 - 5*s**2 - 5. Let j be k(5). What is f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/3 + ((-556864)\/(-48) - 21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1340125 (base 6) to base 7\nAnswer: -432206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1635472713 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = n - 8. What is the third derivative of -n*y**6 - 15*y**2 + 8*y**2 - 27*y**2 wrt y?\nAnswer: -3000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -26. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-55 - -29)) + (8 - 3) + -18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -33441112?\nAnswer: 33441124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2389 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8703 - 8583. Solve -98 + f = -22*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265944*j**5*o**2 - 53*j**2*o**2 - 14*o**2 + 58*o wrt j.\nAnswer: -15956640*j**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/6 - 3971*q**2 - 237810*q - 3564900 = 0 for q.\nAnswer: -23766, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 482c - 2d?\nAnswer: 47dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12886 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 + 4*p - 4. Let x(k) = 13*k**2 + 7*k - 7. Let r = -9 - -13. Determine r*x(b) - 7*i(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 1017857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008417*-740.\nAnswer: 6.22858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681 divided by 3.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9609 to the nearest one hundred.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500 - 500 + 47005*z.\nAnswer: 47005*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/3 - 247*r**4\/3 - 7886*r**3 + 114816*r**2 - 106848*r = 0.\nAnswer: -84, 0, 1, 12, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/2210*52*(-4)\/62?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110767654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -82*g + 84. Let k(b) = b + 3. Let t(u) = -3*k(u) - l(u). Differentiate t(m) wrt m.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000054865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {w: 2, s: 2, z: 1, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11094.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*s + 4*s. Let v be 2\/(-10) + 28\/(-10). Let t = v + 5. What is the lowest common multiple of s and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 12*w + 10. Let k be j(-10). Suppose 3*u - k = -z, 3*u + z - 307 = -u. Let s = u - 21. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0156 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2, -328, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1477972111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 273*l**2 - 277*l + 127. Let p be b(92). What is the highest common divisor of p and 17605?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.313 in -0.1, 6, -7\/51, -8?\nAnswer: -7\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert c663b (base 14) to base 8.\nAnswer: 1646735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -38. Let q = 0.5 + 1.5. Which is the closest to 5? (a) g (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 36 - 9. Let v = n - 3. Suppose -4*j = -j - v. What is the biggest value in 0.04, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 56*o + 2. Let d be p(-1). Let h = d - -58. Suppose 3*q + h*w + 89 = 6*q, q + 4*w = 35. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from sgohtso.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011304 + 0.32.\nAnswer: 0.331304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**4 + h**3 + 6087*h**2 - 26980 wrt h.\nAnswer: 8*h**3 + 3*h**2 + 12174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-9)\/((-1458)\/9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3192067091, -3192067092, -3192067093, -3192067094, -3192067095, -3192067096?\n\"Answer: -x - 3192067090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2379.147g?\nAnswer: 2.379147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404810?\nAnswer: 2, 5, 7, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267*-0.1.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 5*t + 80 = 0, -b - t = -1041 + 1033 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 77562?\nAnswer: 853182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/(-497))\/(39\/21).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -420773*z**5 - z**4 - 143*z**3 - 7*z**2 - 4625910*z?\nAnswer: -25246380*z**2 - 24*z - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, -0.43, 45?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/6, -1, 0.7, -2, -10.9 in decreasing order.\nAnswer: 0.7, 0.5, 1\/6, -1, -2, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 159*w**2 - 4*w + 7. Let t be f(-3). Suppose -3*l - 2*z = -t, l + 1455 = 4*l + 3*z. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 93*s - 2595. What is t(76)?\nAnswer: 1889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b*j**4 - 6*b*j**2 - 8*b + 6*j**4 + 399*j**3 + 8*j**2 + 2*j - 1 wrt j?\nAnswer: 168*b*j + 144*j + 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 23*r + 4*l - 20158, -r + 5*l = -3991. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/4 - 29*q**4\/6 - 11*q**3\/2 - 2*q**2 + q + 708. What is the second derivative of b(t) wrt t?\nAnswer: 30*t - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -496 - -1176. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvduduudud. What is prob of picking 1 v and 1 d?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z**2 - 2*z**3 + z**3 - 90*z**2 + 376*z**2 - 13*z to the form l*z**2 + u + n*z + y*z**3 and give l.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 3796.\nAnswer: 3796.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -145, -213?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1885.12\nAnswer: -1888.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, o: 2, h: 2, d: 2}. Give prob of sequence dhdo.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 3*q**3 - 2*q**3)*((0*q + 0*q + q)*(2 - 1 - 2) - 2162 + 2162 + 36*q) to l*q**2 + m*q**4 + a*q + t*q**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103962168\/25 + -4161869. Let c = p + 3384. Find the common denominator of 33\/25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 691186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2 + 1. Let k(i) = -i**2 - i - 1. Give k(h) + z(h).\nAnswer: 7*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.62, -0.2, 3\/692, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8961 + 26618. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -27. What is the smallest value in 7, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2 - -6 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-328)\/(-18) + (-8)\/36. Let l be 90\/21 + (-4)\/14. Let u = n - l. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 176*n - 7609. What is m(83)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3222 + 10?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55251929.\nAnswer: 3041, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11686049*d**2*n**2 + d**2*n - d*n**2 - d - 22*n**2 + 132966 wrt d.\nAnswer: 23372098*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + -2*sqrt(3300))\/(sqrt(3) - 1*sqrt(363)).\nAnswer: 19*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 198239*r - 105. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdddgddddgdqdd. What is prob of sequence qq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -219159.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*(5\/(-2))\/5. Let y(h) = -2*h - 2. Let p be y(d). Let w be 144\/(-260) + 4\/p. Which is bigger: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:36 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 6*y**2 - 5*y. Let t be v(5). Let n = 84 + -87.9. Let k = n - -1.9. Which is the closest to t? (a) 3 (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -28?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6195621 to the nearest integer?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 18*q**4\/11 + 482*q**3\/11 + 3402*q**2\/11 + 2262*q\/11 - 676\/11 = 0.\nAnswer: -13, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -49) + -611 + 576\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 17 - 10 = -5*t, 5*s = t - 15. Let p(c) = -6*c - t*c + 10*c. Let k(a) = -33*a**2. Give k(p(d)).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-5 + 48\/(-8)) - (-49)\/(-231). Let -2 + 5\/3*i - x*i**2 = 0. What is i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/6 + ((-85)\/(-3) - (-1239 - -1272)).\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**0)**(-1\/28) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32972 - -0.1\nAnswer: -32971.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20 - 0)*((-4)\/(-36))\/(84\/189). Put -10, r, 68 in descending order.\nAnswer: 68, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:35 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -835 (base 10) to base 14\nAnswer: -439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3303065 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 173, 4\/5, 3\/2, 8, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/7)\/i*i**5)**(-32) assuming i is positive.\nAnswer: i**(-704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by 158490.\nAnswer: -19\/17610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1\/3, 2\/5, -74602?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24579129 to the power of 1\/2, to the nearest integer?\nAnswer: 4958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106.57 and 14.\nAnswer: -1491.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -10a02bb?\nAnswer: 10a0303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.93 + -2.9. Round y to one decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -94. What is the nearest to 3 in -2, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-9)*-15*(-2 - -3). Suppose q - 15 = -g. Let d(s) = -42*s + 1. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -34 - (-8 + 2) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 71568, -2, 29 in decreasing order.\nAnswer: 71568, 29, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/2*(-2)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/6 - 55*z**2\/6 + 50*z\/3 + 250.\nAnswer: -5*(z - 5)*(z + 6)*(z + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - 3*sqrt(36)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 26) + 12 + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5625*x**2 - 198*x. Let l(o) = -5626*o**2 + 231*o. Give -6*l(r) - 7*s(r).\nAnswer: -5619*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3)*48\/(-32). Let u(v) = -v. Let r(w) = 7 + 2 - 2 - 6 + 4*w. Give a*r(f) - 7*u(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 11*w**5\/3 - 53*w**4\/6 - 4*w**3\/3 - 78*w**2. Factor c(z).\nAnswer: 4*(z - 1)*(55*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d2 - -9f3d6?\nAnswer: 9f8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -0.3355.\nAnswer: -12.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2717 rounded to two decimal places?\nAnswer: -2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + 2*y**2)*(0 + 0 - 2) + (-8*y - 3*y + 0*y)*(-y - y + 4*y) + y**2 - y**2 - y**2 - 5*y**2 + y**2 + y**2.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9032, 9035, 9048, 9077, 9128, 9207, 9320?\n\"Answer: l**3 - l**2 - l + 9033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9688 * 378.2\nAnswer: -3664001.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2a04 (base 15) to base 5\nAnswer: -242004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-2*d + 1 - 1) - 713*d + 54*d - 284*d to t*d + j and give t.\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let a(n) = -79566*n + 3129. Let o(f) = 889*f - 35. Let y(v) = 5*a(v) + 447*o(v). Give y(d(x)).\nAnswer: 894*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:27 PM?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put -153\/49, -4596, 1\/2 in decreasing order.\nAnswer: 1\/2, -153\/49, -4596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:32 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -12. Calculate the remainder when 45 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 51*a**2 - 1667*a + 86473. What is p(49)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:46 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*l**2 - 2901*l - 18 = 0 for l.\nAnswer: -2\/323, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36951327 divided by 113001?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 6, o: 1, c: 3}. Give prob of picking 1 c and 2 p.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 7}. What is prob of sequence xz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -228?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -102*n - 1142. Determine h(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 79\/2 of a millisecond?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-45)\/((-3)\/(-2)*3*363\/(-1089))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6271*o + 9 + 0 - 6255*o. Let f(v) = v**3 + v**2 + 7. Let s be f(0). List the prime factors of d(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*a - 26, m = 2*a + 4 + 6. Let h(q) = 2*q**m - 1 + 5*q - q**3 + 1 - 3. Let y be h(3). Solve 2*f + y - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35, -16\/15, 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-30) - -2 - (-27)\/270?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*l = -2*q + 47, -2*q - 4*l + 28 = 0. Solve 0 = -t - 6 + q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i - 12 + 802 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f - 9. Let i(l) = -7*l - 8. Let u = -29 + 22. What is u*i(g) + 6*j(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -231 and -1013377090.\nAnswer: -1013377321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 4277.\nAnswer: 47047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 15*q - 5*r = -30, 3*q - 51 = -4*r. Sort q, -7, -17, 1.\nAnswer: -17, -7, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r + 20. Suppose -w + 3*w - k - 207 = 0, -531 = -r*w - 2*k. Suppose 9*m - 4*m = w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Let q be 1\/(-15*(-2)\/3). What is the second smallest value in -0.4, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 17103803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -2\/3*x**3 + 3*x + 0 + 1\/2*x**4 + 0*x**2. Factor t(s).\nAnswer: 2*s*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(475)*-1 + sqrt(475) - sqrt(475))))**2 - (sqrt(19) + (sqrt(19) + -6*(-2 + sqrt(19)))**2 - sqrt(19) - (-1 + (sqrt(38)\/sqrt(2))**2)).\nAnswer: -125 + 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = 3*x. Which is bigger: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -r - 24, -r - 4*r = 4*b + 72. Let f be (2 + -8)*10\/r. Suppose -2*x = 2, 0 = 4*o + f*x - 158 - 85. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -0.000987809784.\nAnswer: 5.999012190216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701589633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22324380.9674 plus 2423?\nAnswer: 22326803.9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -4*n - 819. Let l = 48 + 133. Let w = n - l. What is the greatest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 1130\/19 (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 3. Let y be w(5). Let t = y + 12. Suppose -t*r + 2*i + 14 = -i, -10 = -4*r + 5*i. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -27, -27, -17, 9, 57, 133?\n\"Answer: x**3 - 4*x**2 + x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -130 and -231245?\nAnswer: 30061850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867672 and 4968?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*t + 18*t - 2*t**2 - 3 + 0 + 4624*t - 3.\nAnswer: -2*t**2 + 5252*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z**2. Let m(i) = -40*i - 41*i + 79*i. Calculate h(m(n)).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w - 2. Let t be ((-4)\/6)\/((-1)\/3). Let j be r(t). Calculate the lowest common multiple of 8 and (j\/(-2))\/(1\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**15*r*r**(1\/13) assuming r is positive.\nAnswer: r**(209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 115 (b) 5268 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*v = 17375, -4*y + v + 11567 = -11594. Does 53 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five halves of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 179 - 45. Let f = g + -44. Does 12 divide (f\/15)\/((-3)\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6941514, 6941464, 6941414, 6941364?\n\"Answer: -50*c + 6941564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9553 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (157125\/12)\/5 - (-8)\/(-16). Let j = 2619 - u. Suppose 0 + j*g**2 + 21\/4*g = 0. What is g?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 184316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Let i = k - -6. Suppose 496 - 16 = i*m. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*b + 1324*b - 86929 = -34696 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/27)\/(((-12)\/10)\/((-120)\/200)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.37 + 36.73. Let p = x - 45. Which is the fourth smallest value? (a) 1 (b) -3\/2 (c) 0.5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.1. Let u = 0.1 - f. Suppose 4*w = w - 4*j + 1, -2*j - 13 = -3*w. Which is the third smallest value? (a) w (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 1.1. Let p = 13 + g. Let j = -1.6 + 2. What is the nearest to p in j, 1, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-104)\/63 + ((-2632)\/(-196) - 13)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1276\/(-77))\/(11*93\/(-4774)*(-4)\/(-3)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 83253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o**2 + 24. Let t(j) = 3*j**2 - 5. Let r be ((-22)\/6)\/(((-10)\/(-6))\/(-5)). Let b(i) = r*t(i) + 2*k(i). What is b(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -94310438\nAnswer: 1\/94310438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**2 + c + 10. Calculate the least common multiple of 4 and r(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87\/27*(-87)\/(-2). Let w = 1693\/12 - s. Calculate the common denominator of 549\/66*(-1)\/(-3) and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 23*a + 11*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3551*t - 2 + 13006*t + 5335*t + 2 - 4098*t)*(-t - 1 + 1).\nAnswer: -17794*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*w**5 - 195*w**4 - 50*w**3.\nAnswer: 5*w**3*(w - 10)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4250 and 1\/527800?\nAnswer: 44863000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 2. Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/68, 0.3, 0.15, 65 in descending order.\nAnswer: 65, 0.3, 0.15, -3\/68, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9, -4*w - i = -9*w - 28. Let t = 6 + w. Is (1\/(-3))\/(t\/(-249)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 29\/3*g**3 - 2*g + 0 + 153*g**2 - 11\/12*g**4 - 1\/15*g**5. Differentiate y(d) wrt d.\nAnswer: -8*d - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 + 10561*q**3 - 63393*q**2 + 95099*q - 42268 = 0. What is q?\nAnswer: -10567, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 3. Let r(a) = -3*a**3 - 2*a - 3. Let l(o) = -2*o**3 - 3*o - 3. Let y(f) = d*r(f) - 2*l(f). Differentiate y(c) wrt c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (234 - 141 + 211)*(6*d**2 - 2*d**2 + d**2) in the form s*d + l*d**2 + f and give l.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8688, 7821, 6370, 4323, 1668, -1607?\nAnswer: -5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 - 21*i**3 - 12*i**2 + 36*i = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**5 + 407*a**2 - 5*a - 14578.\nAnswer: 180*a**3 + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 139. Let i be 4 - -5*x\/((-100)\/(-24)). What is the units digit of 284*(4\/i - 147\/(-420))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/11*(297\/36)\/((-48)\/32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*1*-3)\/(2*sqrt(147) + sqrt(147) + sqrt(3)).\nAnswer: -3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*-2*4\/(-12). Find the second derivative of -11*g + 8*g - k*g**2 - 2*g**2 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 4, -304, -16 in decreasing order.\nAnswer: 9, 4, -3, -16, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and (5 - 4)\/((-2)\/(-20))?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 13. Determine s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let z(q) be the third derivative of -67*q**4\/24 + 5*q**3\/6 + 74*q**2. Determine b(z(y)).\nAnswer: 67*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o - 44*o = -3*y + 10, 0 = -2*y - 5*o - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(65)\/sqrt(5) + -1 - sqrt(13)) + 5 + (sqrt(156)*-2)\/sqrt(12).\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.740052976 - -157706.859956024. Let x = j + -157729.5. Let d = -0.9 - x. What is d rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 4. Let h be t(0). Suppose -f + 20 = h*f. Solve -2*b + f*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -92. Is -4\/129 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66587120 a multiple of 3001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, 67, 4 in decreasing order.\nAnswer: 67, 4, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -273 + 356. Differentiate -a*f**2 + 13*f**2 + 157 + 3*f**2 with respect to f.\nAnswer: -134*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*n - 134539, 19*z - 22*z + 134459 = 5*n. List the prime factors of z.\nAnswer: 107, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let j(k) = -k**2 - 10*k - 8. Let s(z) = -2*d(z) - j(z). Suppose 0 = -m - 0*m + 5. Suppose -10 = m*q + 30. Determine s(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1869 - 1869. Solve 5*b - 2*g + 0*g - 6 = j, -4*g - 12 = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, -4, 0.2, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33396 - -100187\/3. Sort -0.1, -4\/23, 16\/21, x in increasing order.\nAnswer: x, -4\/23, -0.1, 16\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-96)\/42 + 1. What is the fourth biggest value in o, 1\/5, -1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*g + 6 = 72, 0 = 3*l - g + 43. Let f be (l - -14)\/((-2)\/1). Suppose -4*j + 2*j + 158 = f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172054148 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p - 83. What is the greatest common divisor of 136 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(1765\/3177).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h = 106*h + 64*h + 1495 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117) + 6*(sqrt(117) + -2) + sqrt(117) + 5)**2.\nAnswer: -240*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**3 - 15*f**2 + 42*f + 3. What is q(3)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42149, 42150, 42151?\n\"Answer: a + 42148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w**2. Let y = -65 - -48. Let v(m) = -56*m**2. Let r(x) = y*k(x) - 6*v(x). Let b(o) = -o**2. What is r(b(l))?\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1\/2, 0, -5.7 in descending order.\nAnswer: 1\/2, 0, -1, -2, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.744 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -24*h**3 - 636*h**2 + 1164*h + 384. Let z(t) = -23*t**3 - 639*t**2 + 1163*t + 384. Let k(s) = 5*f(s) - 4*z(s). Suppose k(x) = 0. What is x?\nAnswer: -24, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*r - r. Put -3, 2, r in increasing order.\nAnswer: -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1331.035km?\nAnswer: 1331035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6616*w**3 - 21305*w**3 + 7056*w**3 + 6466*w**3.\nAnswer: -1167*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*d + d - 3*d)*(-5 - 3 + 4 + 1) to t + b*d and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/(-10)*(22 + -3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -49. Solve -2*a - 1 + 17 = -4*t, p*t + 5*a + 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301883586 to the nearest integer?\nAnswer: 17375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 divided by 4?\nAnswer: -383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 12) to base 5.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4813979 micrometers to millimeters.\nAnswer: 0.0004813979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m + 9. Let o(b) = b + 1. Let x = -8 + 8. Suppose 0*d + 3*d - 126 = x. Suppose 0 = 3*t + 12 + d. Give t*o(z) + 2*f(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14528 - -14507.636. Round k to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0 + 9 - 6 - p. Let g(b) = -b**3 + 6*b**2 + b + 1. Let y be 7\/21 + 17\/3. Let c be g(y). What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gftu when four letters picked without replacement from {x: 1, t: 1, f: 1, g: 11, u: 1}?\nAnswer: 11\/32760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 32*g - 22*g - 140 = 24*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204660*l**2 - 6 + 11*l - 11*l - 204664*l**2.\nAnswer: -4*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - 3*(sqrt(156) + (2*sqrt(156) - sqrt(156) - sqrt(156)))))\/(sqrt(60)\/sqrt(20)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 1478 = 2*u - 4378 + 2096 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. Let o = 4.8 + -6.06. Let j = 1.76 + o. What is the closest to f in 1\/8, j, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let b(x) = 11*x - 15*x + 6*x. Give -b(v) + z(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w + 5. Let d be x(5). Let q(i) = i**2 + i - 12. Let z be q(d). Let l = -7 - z. Solve 2*v - 4*g = -2, 2*g + 2*g = -l*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 212400032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2958917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 159 in 2\/13, 0.4, -2\/11, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -6654, -2, -3, 18 in decreasing order.\nAnswer: 18, -2, -3, -16, -6654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -7, 43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1013*q**5 - q**3*x - 13*q*x + 6*x - 51 wrt q.\nAnswer: 20260*q**3 - 6*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 239 + 101. Suppose 36 = 4*k + v. Suppose 5*z = 3*s + 1, 0 = 2*z + 3*z + 4*s - 22. Sort -3, k, z.\nAnswer: -3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7 + 9?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493041273 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1149225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 149 (b) -1\/2 (c) 0.5 (d) 4 (e) -1\/7 (f) 427\/5 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 9400708.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1545\/50 + (-335 - -305).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228147 and 1017?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1216 divided by -3\nAnswer: -1216\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2344410?\nAnswer: -2344410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/6)*o)**(2\/69))**37)**(1\/4) assuming o is positive.\nAnswer: o**(185\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 + 489*z - 487*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**8\/840 - m**6\/90 + m**3\/3 - 1. Let f(q) be the third derivative of i(q). Find the third derivative of f(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*a + 5*a - 15, 5*a - 4*h = 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 6*k - 8. Let z(j) = -j**2 + j. What is p(x) - 6*z(x)?\nAnswer: x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccbbcccq. What is prob of sequence bb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z - 35*z - 10*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65195 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14419 and -3.\nAnswer: -14422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 2*q. Suppose z - 36 = -3*z. What is the lowest common multiple of z and (-20)\/q*(-24)\/10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxudxuuuudd. Give prob of picking 1 u and 2 d.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 990*w**2 - 130*w + 253. Is b(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5975*l**2 - 224*l + 1504. Is k(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 199, 557, 1069, 1741?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 2508?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.6 + -7.6. Let m be (-16)\/(-12)*(-3 - 1). Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 + 6 - 5*l + 4 - 12*l. Let v be i(6). Is -93 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -242977.5?\nAnswer: 97191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h + h)*(h + 2*h + 691*h**2 - 707*h**2) + 2*h**4 - 4*h + 6*h - 3*h.\nAnswer: 34*h**4 - 6*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 110*c + 10904. What is t(-98)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2 - 6\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -22*o**3 + 32*o**2 + 5*o. Let d(m) = -33*m**3 + 47*m**2 + 8*m. Give 8*a(l) - 5*d(l).\nAnswer: -11*l**3 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7575 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*o = 21081 + 6285, 3*o + 18245 = 2*u. What are the prime factors of u?\nAnswer: 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 2*i + 9. Let u be (-1)\/6 - (-59)\/(-6). Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 613 and -0.01.\nAnswer: 612.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + i + 2*i - 54, -3*j - 5*i = 22. What are the prime factors of (-12)\/j*(1 - -20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169033098?\nAnswer: 2, 3, 13, 2167091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 65. Suppose 4*m - 12*s - 92 = -11*s, m - 4*s = 8. What is the smallest common multiple of i and m?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6532 + 20359. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (78\/(-5))\/(2\/(-5)). Suppose -2*y + h - 33 = 0. Let p(b) be the third derivative of b**6\/120 - b**5\/15 + b**3\/2 - 12*b**2. What is p(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -3 + (37 - 35) + -29?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20815 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821 - 375 = 9*s + 5*s + 92 for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 6. Let k = -23 - m. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 divided by -167612?\nAnswer: 669\/167612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015955 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228324 is divided by 2209?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 50. Let c be m(-9). Sort c, 14, -2, 3 in descending order.\nAnswer: 14, c, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 - k**2 + 1\/30*k**5 + 0*k + 0*k**3 + 0*k**4. Let j(v) be the third derivative of -v**4\/12 - 25*v**2. Give d(j(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 365 = 5*h, 7*h - 4*d = 3*h + 288. What is the greatest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:09 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 69320*d**2 + 2080275*d - 15603750.\nAnswer: -(d - 15)**2*(d + 69350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106462425.\nAnswer: 3, 5, 53, 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*l**2*o**3 - 4014*l**2*o**2 + 271313021*l**2*o - 9*o**2 wrt o?\nAnswer: 216*l**2*o - 8028*l**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-3)\/(9\/(-6)). Suppose 0 = l*y - 7 - 13. Suppose -4*n - y = p - 6*p, -5*p + 5 = -n. Solve z = -3 + p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 2*r - 1. What is the remainder when d(-1) is divided by (3 - 6)\/12 + 26\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let q(f) be the first derivative of 2*f**3\/3 - f**2\/2 - 2*f - 10. What is q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-40)*(-45)\/(-405)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14866.\nAnswer: 2, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6120200 - -2?\nAnswer: -6120165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13134725 by -115.\nAnswer: -114215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 - 5 + 12 + 22*a**2 - 8.\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 + o + 202. Let j be u(0). Suppose 0 = -5*i - 52 + j. Suppose c = -3*c + 80. Calculate the greatest common divisor of i and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -44*q**2 + 26*q. Suppose -17*f + 21 + 13 = 0. Let j(o) = -o + 3*o**2 + 2*o**2 + 0*o**2 - f*o. What is 52*j(d) + 6*x(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 + 76 = 0. Calculate the remainder when 64 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*g + 10 = 0, 9*v = 12*v - 2*g + 10. Suppose 4*c - 4*u - 28 = 0, v = -2*c + 9*u - 10*u + 5. Solve -4*p - c = -4*t, -4*t = -0*p + p + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -43) + -4481 + 4521.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -127600 divided by -31900\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-182)\/(-49) - (-2)\/7. Suppose r*h = -h + 125. Suppose -6*v = -2*v - 400. Calculate the greatest common factor of h and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 112. Let j be -8 + 5 - 104\/(-32). What is the closest to j in 5, u, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 5*u**2 + 8*u + 7. Let x be ((0 - 2) + 3)*1. Let m be x\/(3 - 38\/12). What is n(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 53 - 55 - (3 + (-3 - 26)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:00 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 735949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000106 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/35*55\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 13*v = 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z - 95 + 13*z**2 - 3*z**2 - 9*z**3 - 10*z**2 wrt z.\nAnswer: -27*z**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.01 - -6. Let t = y - 0.09. Let u be (-8)\/((0 + -1)*5) + -2. What is the nearest to 1\/5 in t, u, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**4 - 6*l**3 + 3*l**2 + 105*l - 6. Let b(k) = 3*k**4 - 6*k**3 + 2*k**2 + 72*k - 5. Let y(h) = -3*b(h) + 2*u(h). Let y(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/7 + 850356*j - 421811440596 = 0.\nAnswer: 992082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 276122*h - 38121679442.\nAnswer: -(h - 276122)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -24 in ascending order.\nAnswer: -24, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3577518640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 2. Let r be o(-2). Let m = r + 16. Let t(z) = -15*z. Let y(c) = -7*c. Give m*t(n) - 5*y(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -1\/5, 5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a78 - -18048?\nAnswer: 15080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 7*y - 194. Calculate the highest common divisor of 28 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*l - 4 = 5*f, 3*l + 12 = 3*f. Let i(r) = -r**3 - 27*r**2 + 55*r - 61. Let j be i(-29). Sort j, f, -2 in ascending order.\nAnswer: -2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6 - (-11)\/(-2). Let f(x) = x**2 + 4*x + 1. Does 6 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562465.\nAnswer: 5, 23, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 160467490 to the nearest 10000.\nAnswer: 160470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxpp when four letters picked without replacement from {x: 4, u: 2, p: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1332)\/(-432)*-8*(-9)\/(-12)\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:44 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1 - (0 + 2)). Let c(p) = p**2 + 4*p - 8. Let o be c(-6). Solve 3*v - o*w = -13, a*v - 1 = -v - 4*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/7 + 20*t**2\/7 + 46*t\/7 + 4 = 0. Calculate t.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/(-3690) + (30\/(-90))\/((-41)\/(-6))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 7*n - 3 = -16*n - i + 1, 2*n - i + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483840541.\nAnswer: 483840541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**3 + x**3 + (2*x**3 - 3*x**3 + 2*x**3)*(1 + 4 - 4)*(-1 + 1 - 2)*(-29 - 99 - 107).\nAnswer: 472*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -34*f**4 + 3*f**3 - 2. Let d(a) = -35*a**4 + 2*a**3 - a - 2. Let l(y) = -3*d(y) + 2*t(y). Find the second derivative of l(b) wrt b.\nAnswer: 444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 185119, 185120, 185121, 185122?\n\"Answer: o + 185118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21407921 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2853, -2854, -2857, -2862?\nAnswer: -2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -2*((-6)\/(-2) + -2). Solve n*k = -2*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214286381.\nAnswer: 3, 7, 11, 41, 42737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341 and 81801?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-28999\nAnswer: -26099.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125309890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4087 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}