diff --git "a/data/dm_maths/full_data_1/1714_11255.jsonl" "b/data/dm_maths/full_data_1/1714_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1714_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put -3, -1.1, -2\/19, -1\/10, 3 in descending order.\nAnswer: 3, -1\/10, -2\/19, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47.19 from 227707838.\nAnswer: 227707885.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 81. Let d be v(-27). Suppose 5*j - 26 = -1. Solve j*h = -d*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/8)\/(h\/(h\/h**2))*(h**(-4\/5)*h)\/(h**(1\/5)*h) assuming h is positive.\nAnswer: h**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 8*r = 5*r - 28, 0 = -4*j + 5*r + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*t + k + 14, 0 = t + 5*k - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3868 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w*w*w**(1\/2)*(w**0\/w*w)**(-38))**(-8\/13) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358 - -362. Is q smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/1)\/(17\/(-17)). Let v = -20.6 - -1.6. Let j = v + 23. Sort j, q, 2\/11, 2 in descending order.\nAnswer: j, 2, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751758445 to the power of 1\/2, to the nearest integer?\nAnswer: 27418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*h + 24 = 0, -3 = -3*h + 9. Let r = y - 3. Is 2 - (6\/3 + r) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16621.4963 to the nearest 100.\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r**3 + 7*r**2 + 4*r + 4. Let q(v) = 3*v**3 - 2*v**2 - v - 1. What is 7*q(y) + 2*x(y)?\nAnswer: y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 13233\nAnswer: 4\/13233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0463 plus -1909.6?\nAnswer: -1909.6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:08 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w + 108*w = 156 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 30*u - 9*u - 448. Solve -u*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 25)*(u + u**4 - u).\nAnswer: -23*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-266)*69651\/2. Let t = 1839\/7 + z. Calculate the common denominator of t and 175266\/(-77040) + ((-6)\/16)\/(-1).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnwnhnnznrr. Give prob of sequence rn.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 19249*h**2\/2 - 154013*h\/4 - 96255\/2.\nAnswer: (h - 5)*(h + 1)*(h + 38502)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/47 in -2, 1.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*g = 2 + 8, 2*z + 5*g + 7 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -k + 99, -4*g + 5 = -3*g. Let i = -118 + k. Let y(r) = -13*r**2 - 1. Give y(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23023235 and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/5, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-118.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3026\/5 - -608. Calculate the common denominator of ((-4)\/(-56))\/(4\/(-160)) and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**6\/6 - 51*y**4 + 1130*y**3\/3 - 475. Find the third derivative of m(v) wrt v.\nAnswer: -60*v**2 - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3620120506?\nAnswer: 2, 1810060253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 12, v: 2, g: 2, t: 3}. What is prob of sequence zg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 10*m - 5. Let l be f(-9). Solve -l = 4*n - 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1458 - -1479. What is the remainder when 41 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*s - 2*s - 2)*(-35*s + 4*s**2 + 9*s**2 - 15*s**2)*(15 - 9 - 9).\nAnswer: -12*s**3 - 222*s**2 - 210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-837)\/651*(-5)\/(-45).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1136*m**3 - 2102*m**2 wrt m.\nAnswer: 6816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(147)*-2*-1 + sqrt(147))*-6 - (-2 + sqrt(147) + -4 + 5)))**2 + 4.\nAnswer: -266*sqrt(3) + 53072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 588 - 4107\/7. What is the nearest to 1 in -0.1, q, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3654 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 0*q**2 + 4*q**2 as k*q**2 + d*q + i and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m - 41 - 36 - 12 + 0*m + 51 to the form v*m + h and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 3*s = -17, -879*s = -p - 874*s + 27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-16)\/(q*q**14\/q*q)*q**(1\/4)\/(q\/(q\/(q\/(q\/q**(2\/3)*q)))))**8 assuming q is positive.\nAnswer: q**(-730\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/52524 and 103\/140064.\nAnswer: 420192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93540 divided by -6.\nAnswer: -15590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 216*o - 351. Give v(1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1100202121?\nAnswer: 1100202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 442331.4ml in litres?\nAnswer: 442.3314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.86919 + -62.219?\nAnswer: 78.65019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 1. Suppose 26 = -2*g - 2*g + x, 5*x = 4*g + 34. Let q = g - 0. Give r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 17*h - 26. Calculate x(12).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 2*i - 140. Solve 0 = a - 5*n - i, -n + 2 = -0*a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 677 - 675. Sort -2, k, 126, -3 in descending order.\nAnswer: 126, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Suppose -10*f + 0*f = -100. Let z = 17 - 5. Let k(t) = 17*t + 2 + f - z. Calculate r(k(p)).\nAnswer: -578*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 1. Let v(p) = -33*p + 8. Let h be ((-315)\/(-42))\/(3\/(-16)). Let a(f) = h*t(f) - 5*v(f). Let m(r) = 35*r + 1. Calculate m(a(i)).\nAnswer: 175*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392 - 281.2. Let o = -124 + m. Let v = o + 13. Which is the third smallest value? (a) 5 (b) 2\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a - 3\/2*a**4 - a**2 + 5 - 7\/3*a**3. Let t(k) = -5*k**3 - 6*k**2 - 2*k + 2. Calculate 6*j(f) - 7*t(f).\nAnswer: -f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/68*(-9)\/((-549)\/4)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -283*v**2 - 255*v + 1. Let g(b) = 1390*b**2 + 1274*b - 6. Let c(o) = 2*g(o) + 11*x(o). Find the second derivative of c(m) wrt m.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 30. Let j be r(-16). Suppose -2*d - 3*k + 99 = j*d, 5*k + 19 = d. Let q = -6 + d. What is the smallest common multiple of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p. Let g be w(-3). Suppose -g*b + 16 + 11 = 0. Factor 145 + 3*v**2 - 148 + 4*v**3 - b*v + 5*v**3.\nAnswer: 3*(v - 1)*(v + 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0451308 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a + 468. Let z be j(-32). Which is smaller: z or 23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 28. Suppose i = -2*t - 4. Suppose -b - 2*b = g - 13, g - 5 = -b. Sort b, t, 1 in descending order.\nAnswer: b, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138750 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: Is 10537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - j**3 - 4*j**2 + (1 - j**2 - 1)*(2 - 2 - 2*j) + 0*j**3 - 3*j**3 + 7*j**3)*(78 - 8*j - 19 - 47).\nAnswer: -40*j**4 + 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98221538 by -5.\nAnswer: 98221538\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h - 44*h - 5*h**2 + 72*h + 21*h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 134 + (-2 - (-2 - 1)). Suppose j = 4*j - z. Suppose -j = -6*h + h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 121 (b) 2\/11 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (5 + -59 + 46 + 0 + 38).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -4aa0?\nAnswer: -4aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/12*3\/(-2). Solve -9 = -3*k - 2*h, -5*k + 4*h - 14 = -i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12785 divided by 12785\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21331 = 2256*l - 1027 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 120 = -z + 4*w, -z + 5*w + 60 = 0. Suppose -z = -t - 3*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*c**2*t*x + 4*c**2*t + 3*c**2 + 3*c*t*x - c*t + c*x - 69*t + 8*x wrt x.\nAnswer: -20*c**2*t + 3*c*t + c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 5:16 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -12 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c - 5*h, 5 = c + 3*h - 4*h. Suppose 3*j - 5*j = -c*y + 6, j = y. Suppose 0 = y*t + 3*t - 575. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 3*t + 1. Let v be w(4). Let h = v - 10. Let u = h + 10. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**1*q)\/q)**(-5)\/(q**(2\/13)\/((q*q**(-4\/3))\/q)))\/(q*q\/(q*q\/(q**4*q))*q*q*q**(-1\/6)*q\/q**1*q*q*q**(5\/3)) assuming q is positive.\nAnswer: q**(-1715\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/10 - 44*s**3\/5 + 145*s - 162. Let n(v) be the first derivative of q(v). Factor n(u).\nAnswer: 6*u*(u - 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = -5. Which is greater: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -181\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 19 + 1 + 11)*(-95 + 14*v + 95)*(-6*v + 2 - 2) to the form f + t*v + s*v**2 and give s.\nAnswer: -3108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*p - 3*a, 0 = 2*p + 2*a + 107 - 97 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13239857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(21) - sqrt(3024)*1 - (sqrt(21) - sqrt(1344)*1)))\/((sqrt(70) - (sqrt(70) - (sqrt(70) - -1*sqrt(70))*-5))\/(5*sqrt(20)\/sqrt(2))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 391 = 141*i, -11 + 90 + 14 = i - 3*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01362177 to five dps.\nAnswer: 0.01362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/25)\/y)*y**(-3\/7))\/(y**1)**47 assuming y is positive.\nAnswer: y**(-7936\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 - -143. Let o = s + -52.00019. What is o rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = 4*j. Suppose 0*x = j*x + 20. What is the closest to -1 in -0.3, -3\/2, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 199, -2, -4 in decreasing order.\nAnswer: 199, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**2. Let c(v) = v + 1. Let r(i) = 8*i + 9. Let m(w) = -18*c(w) + 2*r(w). Calculate x(m(p)).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 143 = -187. Let v(n) = -19*n**3 + 2*n + 1. Calculate the remainder when c is divided by v(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2*2\/(-8). Let m = u + 11. What is the lowest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b = -2*w - 10, 0 = 2*w + 2. Calculate the smallest common multiple of 3*(-1)\/((-3)\/10) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -62. Let y = -4.3 + 4. Put -0.4, y, -1\/2, a in ascending order.\nAnswer: a, -1\/2, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqxx when four letters picked without replacement from xxqqxqxxqxxxqxxxqxx.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*q - a**2 - 26935*a*q - 31696 wrt q.\nAnswer: -3*a**2 - 26935*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:19 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-15))\/6)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 divided by -8?\nAnswer: 285\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**(-4)*g)\/g)))**4\/(g\/g**(-1\/3))**(-25))**(-11\/3) assuming g is positive.\nAnswer: g**(-572\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 8. Let a be (-1)\/v + (-36)\/(-16). Is a smaller than 11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:02 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 72 = -4*m, v - 10 = m + 2*m. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2. Suppose x + 4 = -v + 6*x, -5*v - x + 32 = 0. Suppose 12 = 5*c - 2*b + b, 3*b = -v. Let q(d) = 0*d + 3*d - c*d. Give f(q(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1507135368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + n - 3*n. Let q(y) = 13*y + 335 + 11 - 346. Give q(o(a)).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 904?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22022011 (base 3) to base 4\nAnswer: -1132210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/43 or 3\/974?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from sspseppe.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 9*n + 17. Let z be w(-6). Suppose 33*d = z*d - 2. Is -0.26 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 13) to base 5.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864461753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 5*x - x**2 + (-3*x + 4*x + x)*(-x - x + 3*x) + (x + 4*x - 3*x)*(-2*x - 6*x + 5*x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 - -3*(-1)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 45 + 6 - 5 + 938*c + 939*c - 1875*c. Let h(o) = o. Calculate h(l(k)).\nAnswer: 2*k + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 6*k = 396. Let a = k - 64. Suppose 3*c = 5*m - 11, a*c = 4*m + c - 13. Calculate the greatest common divisor of m and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + 3. Suppose 3*c = -2*l + 80, 4*l + z = c - 14. Let j be (-20)\/c - (-2)\/(-7). Sort 2, j, 3 in ascending order.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1983, 3970, 5957, 7944, 9931?\n\"Answer: 1987*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3150*f - 2721. Is r(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3794, -3797, -3802, -3809, -3818, -3829, -3842?\n\"Answer: -x**2 - 3793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-7)\/((-7)\/(-120)). Let k(y) = 2*y + 4 - y + 3*y**2 - 2 - 1. Let d be k(-2). What is the greatest common factor of j and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/((sqrt(2) - sqrt(2)*-1 - sqrt(2))*5)*5.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/2 + 24*c**2 + 659*c\/2 + 966 = 0. Calculate c.\nAnswer: -23, -21, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2324, 2325, 2330, 2339?\nAnswer: 2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 88 = -10*z + 143. Let d(f) = -5*f - 48. Let p(x) = 2*x + 16. Calculate z*p(m) + 4*d(m).\nAnswer: 2*m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 31*s**2 - 1011*s - 31371. What is k(-31)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322 and 315468.\nAnswer: 2208276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -16) + -1 + -86 + (-1 - 18).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -60 (c) -99590 (d) -0.1 (e) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 807*w**2. Let s(x) = -98*x**2. Give d(s(n)).\nAnswer: 7750428*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g - 246 = 333 + 639 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - n + 1. Let r(o) = o**2 + 13*o - 5. Let b(z) = -5*m(z) - r(z). Factor b(g).\nAnswer: 4*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -0.2 (c) -2\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407219 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3610 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54648969.\nAnswer: 3, 18216323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, -0.5, 37, 7, -2\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325400 is divided by 1686.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce17 + -ce?\nAnswer: cd49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131 and 24497000.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/(37\/(-2442)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 1:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = -n. Suppose -4*r = -23 - n. What is the least common multiple of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 + a. Let p be t(3). Suppose p*w = -w + 24. Find the third derivative of 15*x**w - 44*x**6 - 8*x**2 + 24*x**6 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnt when three letters picked without replacement from jnitb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gttteeeseeseteee. Give prob of picking 2 t and 1 s.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 2*l + 3. Let t = 0 + 5. Let y(p) = p**3 - 7*p**2 - p - 7. Let o be y(t). Let j = o + 60. Determine s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8681491 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 4*c**2 + 4*c. Let b be h(-5). Suppose -4*g + 8 = b*i, -3*i + 0*i = -4*g + 40. What is the least common multiple of 10 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8005*f + 22 = -8010*f + l, -2*f + 5*l = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 28 = 4*q, -19*y - q - 15 = -24*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 63. Let r be a(7). Suppose r*u - 10*u - 12 = 0. Solve 9 = 3*z - u*l, 0*l = -2*z - 2*l + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-52)\/12 - -1*(-60)\/(-108). Which is the fourth smallest value? (a) 4 (b) m (c) -52 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16379 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8470215 and 651555.\nAnswer: 8470215","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (15 - -1) + -1 + (822330\/(-9450) - (-2)\/105)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/561 and 17.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + 72*x - 95. What is i(17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 178692. Suppose 83074 = 5*d - m. Suppose -5*u - d = 4*n, 2*u + 3*n = -u - 20688. What is u rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7220 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7934.925g?\nAnswer: 7934925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2 - 0. Let i be 9*g\/(-8) + 3. Is -1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -60*c + 2*c**2 + 111*c - 56*c + 1. Let k be m(3). Suppose -4*d + 1 + 19 = k*a, 0 = d - a - 5. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/17 + (0 - 2\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 89926 + 103020 = 83*o. What is the remainder when o is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226914730 rounded to the nearest one hundred thousand?\nAnswer: 226900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199*j**4 + 163586*j**2 + 188893707 with respect to j.\nAnswer: -796*j**3 + 327172*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 343 + -186. Calculate the remainder when a is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11617954.\nAnswer: 2, 5808977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 - -268. What is the highest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.1, 13, -3, 4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/63)\/(14\/(-49)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2.52.\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0 - 6 - 10*w + 5. Let c be o(8). Let s = c - -141. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q. Let z(a) = 2*a**2 - 2*a - 5. Let g be z(2). Let y(d) = d + 3*d - 3*d. Calculate g*x(l) + 2*y(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258466 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2 (c) 1 (d) 16759\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2. Let m(q) = -33*q**2 - 6*q + 3*q + 2*q + 3*q. Determine l(m(w)).\nAnswer: 4356*w**4 - 528*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.717228 and -0.2.\nAnswer: 0.1434456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17 + 0*y - 9 + 22*y**2 - 21*y**2 + 9*y. Does 16 divide s(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5195 - -5246. What is the remainder when 3154 is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 2054?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144805 + 72433 + 72372 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 40 = -4*j, -9736*j + 9732*j = x - 2*x + 40 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144466180 to the power of 1\/2, to the nearest integer?\nAnswer: 12019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2 - 5 - 11*p**5 + 8 - 3 wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, 2, 3, -2 in decreasing order.\nAnswer: 309, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_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: Put 4, -79, 2, -2, 0 in increasing order.\nAnswer: -79, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173\/32 - 145\/96. Let x = -21\/4 - f. Sort 3\/2, 1.01, x, 2\/9 in increasing order.\nAnswer: 2\/9, 1.01, 3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 19 + 50)*(-1 - 1 + 5)*(0 + 0 + r).\nAnswer: 387*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 29 + 11 = 0. Let y be 177\/45 - 6\/r. Suppose -2\/3*l**2 - 2\/3*l + 0 + y*l**3 - 2*l**4 = 0. Calculate l.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -t, 4 = 5997*b - 6001*b - 3*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4626184032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:26 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 5 (b) -25 (c) -58\/27 (d) -5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 16*z - 15*z - 4)*(0*z - z + 0*z)*(-7*z**2 + z**2 + 0*z**2).\nAnswer: 6*z**4 - 468*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61640228, -61640243, -61640270, -61640315, -61640384, -61640483, -61640618, -61640795?\n\"Answer: -r**3 - 8*r - 61640219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4753985 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4*q + 0*q)*(-q + 2*q + q)*(0 - 2 - 2).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.903 minus -44698?\nAnswer: 44702.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(612) + 0))*-3 - (-3 + sqrt(272) + 5 + sqrt(272)).\nAnswer: -2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 0*v + 82 - 8 = 5*o + 3, 12*v = 5*o - 89 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -16006?\nAnswer: -16001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-2)\/(-4)*-3)\/(21\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, -7, 420, 4, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 7200691.3.\nAnswer: -7200709.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:12 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.614 + 0.355. Let z = d + -0.269. Round z to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -499.4 + -10\nAnswer: -509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/2*(-2)\/(-4). Let u be (-2 - (-7)\/1) + h. Suppose 2*w + 131 = 5*l, u*l - 5*w - 115 = -0*w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408757, -408756, -408763, -408778, -408801, -408832?\nAnswer: -408871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3638640016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-1\/6)\/n)*n*n**32*n*n**(-10)\/(n*n**(2\/7)) assuming n is positive.\nAnswer: n**(1045\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 9*n - 5*n + 3 + 1 - n**2. Let w be a(-6). Suppose 8 = -2*h, 4*d + 4*h = 6*d - w. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1834*t - 372319. Determine f(-203).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + q = -18, 4*q + 15 = o. Suppose 16*y - 21*y = -15. Suppose -o = y*n - 2*h, -h + 7 = n + 3. Solve 0*j = -j - n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330619*h**2*r**3 - 2*h**2*r**2 - 12*h*r**2 + 23*r**3 + 48*r**2 wrt h?\nAnswer: 661238*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 74 = 13*n. What is the smallest common multiple of 12 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -140 (b) 1.10799 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 247. Let i = 19 + r. Let s = 248 + i. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 17*h**2 - 90*h - 935. What is the remainder when s(-11) is divided by 368?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r. Let l = -36 + 29. Let u(q) = 13*q. Calculate l*g(c) - 2*u(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16 - 3179*w + 175 - 3170*w + 6351*w + 5*w**2. Let p(i) = -3*i**2. Give b(p(r)).\nAnswer: 45*r**4 - 6*r**2 + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and (-9)\/(-18)*(-77)\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66165, 67055, 67945?\n\"Answer: 890*d + 65275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001730671 rounded to six decimal places?\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from aqgaqqa?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 4*m - 2*c - 2641, 5*m + 3*c = 2676. Calculate the remainder when m is divided by ((-760)\/50)\/(1\/(-5)).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*35\/(-150)*902\/(-3157)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 51085*g**3 - 18554025*g**2 + 1655894295*g.\nAnswer: 5*g*(g - 177)**2*(g + 10571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 34. Let n(b) = -2*b + 13. Let f be n(10). Let q be c(f). Let r = 12 + q. Let g(h) = -3*h - 4. Calculate g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10078945*z**3 + 295*z + z**4 - 10078945*z**3 + 3*z**2 + 1 + z**4 - 1 + 5*z**4 - 3*z**4 - 3*z**4 + (4 + 0 - 3)*(3*z**4 - z**4 + 0*z**4).\nAnswer: 3*z**4 + 3*z**2 + 295*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/4)\/3*-4. Let g = v - -3. Let h = 0 - g. Solve k = -0 + h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 21 + 50 + 43*v - 12 as m*v + a and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -3*r**3 - 3*r + 9\/2*r**2 - 1\/4*r**4 + 276. Calculate q(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = 15*s + 7584. Does 57 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-10)*115\/(-46). Let q be (-2)\/(-6) - 14\/24. Which is the closest to 1\/3? (a) q (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*l + 4, -7*m = -2*m + 2*l + 50. Let v = -1 - -9. Let d = v + m. Put d, 1, -3 in descending order.\nAnswer: 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - (7 + -8). Suppose -2*v = -f + 4 + 3, -4*v = 8. Let w = 96 - 83. Solve f*d - c = w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 56 = -28*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 (base 12) in base 13?\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3*h**3 + h**3)*(h + 1 - 1) + 26*h**3 - 26*h**3 + 9*h**4 + (2*h - 4*h + 0*h)*(-64*h + 64*h - 3*h**3).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 13710?\nAnswer: -13728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35075010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, f: 4, u: 6}. What is prob of picking 2 f and 2 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 5. Solve 2*m + 0*m - 2 = -3*f, -f + 5*m = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835.4648 litres to millilitres.\nAnswer: 835464.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3723803 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*r - 256*r + 28320 = 0 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13798 + 639 = -5*a, 3*g + 5*a = 39447. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004441737477 rounded to six dps?\nAnswer: -0.004442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.184 - 106.816. Let u = o - -106.9876. Round u to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/(-52))\/(-1*(-1)\/(-8)). Suppose -791 = -3*i + 4*g, -3*i - o*g + 9*g = -790. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18380058 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*p - 16, 2*p = -a + 5*p - 2. Let x be 1*(18\/(-4) + a). Let d = -0.0966 - -0.0766. Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*u**2 - 135*u**2 + 79*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -21. Let r = -28334 + 28333. Sort -2, 2, k, r in increasing order.\nAnswer: -2, r, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(7\/2)\/x*x))\/x**(-6))**(-36) assuming x is positive.\nAnswer: x**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)*w*w*w*(w\/(w*w**(-3))*w*w)\/w*w**(3\/8)\/w**(-12))**28)**(-32) assuming w is positive.\nAnswer: w**(-50288\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220111000 (base 3) in base 4?\nAnswer: 31331331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*v = 4289 - 4503 + 24972 + 8077 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 divided by -12433?\nAnswer: 211\/12433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j - 50*j + 202*j - 56*j - 53*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2 + 1. Let x = -5 - c. Let w(b) = -17*b - 1. Let d be w(x). Solve -4*q + 3*k + d = -2*k, 1 = -2*q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135125899 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11196.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a - 4*a**2 - 8*a + (a - 4 + 4)*(-5*a + 3*a + 0*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 2*o - 12.\nAnswer: 2*(o - 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17375 - 3412. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 767919 divided by -2\nAnswer: -767919\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1520 = 107. Let t = g + 19585\/12. What is the common denominator of 125\/18 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o - 64. Let m(s) = -3*s. What is m(k(c))?\nAnswer: 57*c + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*u = -76, -4*t + 34 = 2*u - 22. What is the greatest common factor of 28 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 4*w**2 + 5. Let u = -2 - -7. Suppose 0*g - 130 = -u*g. Let c = 22 - g. Determine n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 94 = 3*l - 0*l, 0 = 3*l - 5*h + 88. Let w = l + 52. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*w + 5*w - 20, -2*h - 4*w + 2 = 0. Let r = 0.043 - -0.347. Let g = 0.01 + r. Sort g, 0.5, h.\nAnswer: h, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6072)\/414)\/(8\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 9*n**2 + 3*n - 1. Let q be p(9). Calculate the remainder when 23 is divided by (q\/10)\/((-1)\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37667 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 550*p + 45*p - 25*p**2 - 211*p - 144*p.\nAnswer: -5*p*(5*p - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*k + 17*k - 12*k)*(6*k**4 - 4*k**4 + 0*k**4) + (-3*k**2 + 3*k**2 + k**2)*(2*k**3 - 2*k + 2*k) - k**5 + 0*k + 0*k.\nAnswer: 55*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5250 and 12450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 5*q + 2. Let z = 32 - 30. Let w(h) = h**3 - 9 + 6*h + 43*h**z + 28*h**2 - 62*h**2. Let g be w(-8). Calculate y(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/23 and 27\/(-10) - (4\/(-1) - -1)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 532*p - 5720.\nAnswer: 4*(p - 10)*(p + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1741 + -0.1.\nAnswer: 1740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(-1\/77) assuming b is positive.\nAnswer: b**(3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(-3*sqrt(70)\/sqrt(7)))\/((sqrt(48)\/sqrt(2))\/sqrt(6) - (-4*sqrt(64) + sqrt(4)))*4)**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6645, -4, -3 in increasing order.\nAnswer: -6645, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**2. Suppose 5*f + f = 0. Let h(p) = 26*p - 29*p + f + 0. Give h(d(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:18 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + -4 - (0 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, 1, -1, 56 in increasing order.\nAnswer: -5, -1, 1, 17, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24019767644526*f**2 - 24019767644526*f**2 - 6*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/13 + 7\/78. Let l = 43 - -70. Let i = l - 112.5. Sort x, i, 0.3, 3 in increasing order.\nAnswer: x, 0.3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/27 + 1 + 22\/6. Suppose -3*b = u, -2*b = 2*t - 881 - 477. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 20 (b) -1 (c) -0.12 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220221021202001 + 1?\nAnswer: 10220221021202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -4 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-15)\/(-25))*(-1317)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*h - h, 2*h = -4*k. Solve 5*p + 2*j - 15 = k, p + 0*j + j = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((28 - -15) + -53 - (-25 + -1 + 1)) + 8\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b + 17*b + 72*b + 91 = -x, 0 = -10*b + 2*x - 250 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -2)\/((-1)\/(-23)*2). Suppose 2*c = -o + 65. Solve -3*b + c = -5*m, 2*m + 16 = 5*b - 0*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 + 70752*h**3 + 6862*h**2 - 44?\nAnswer: -120*h**2 + 424512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121120 + 21221?\nAnswer: -22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 + 14568*d**2 - 87537*d - 102102 = 0. Calculate d.\nAnswer: -4862, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075836541.\nAnswer: 13, 82756657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9546827.\nAnswer: 1693, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62343 + -131933. Let b = 9185951\/132 + z. What is the common denominator of -11\/2 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.5. Let n = t - -0.1. Let v = 11408\/3 + -3802. Which is the biggest value? (a) v (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 1. Let y(f) = 513*f - 8. What is 6*h(j) + y(j)?\nAnswer: 543*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 37*x + 180. Let n be c(-6). Suppose 3*w = 77 + 13. What is the least common multiple of w and 12\/(-4) - (9 + n)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98837 is divided by 32943.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)*k)**(-16)*k**(-13\/4)*k**(-12) assuming k is positive.\nAnswer: k**(-221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003945917 to six dps.\nAnswer: -0.000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54324708 minus -2700820?\nAnswer: -51623888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -o - 8, 0*u - 10 = 5*u + 3*o. Suppose -6*r = -4*r - j - 13, 0 = -j - u. Suppose -15 - 57 = -r*x. What is the remainder when 21 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(3*4\/60)*(-5429)\/16287.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 + 27*v + 9. Let w be q(-4). Let d(z) = -3*z**2 + 6*z + 21. Calculate d(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 + 26 - (4 - -1). Factor 3\/4*j**4 - 1\/2*j**y - 1\/2*j**2 - 1\/4 + 3\/4*j - 1\/4*j**5.\nAnswer: -(j - 1)**4*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 18 = -2*q + 5*p, -3*q + 16 = -4*p. Let l(a) = 4*a + 16 + 12 + q - 37. Let j(r) = r. Calculate -6*j(w) + l(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 10*m**2 - 10*m + 5. What is q(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j**2 - 23896*j**3 - 95*j**2 + 7801*j**3.\nAnswer: -16095*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237943?\nAnswer: 277, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41b7 - 53?\nAnswer: 4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 62 + 50. Solve -r*o = -o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3121572798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15))\/((-50626)\/(-7445))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*c - 2, -3*c - 26 = -6*c + 5*y. Suppose -x - q = -54, 5*x - 3*q - 230 = c*q. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w - 3. Let k = w - -10. Suppose 8*o = k*o - 5. Which is the third smallest value? (a) 2\/5 (b) o (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - o + 136, 4*o + 118 = 3*s - 108. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k. Suppose 3048 = -38*h - 141*h - 75*h. Sort 4, h, k, 5 in increasing order.\nAnswer: h, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7721, 7440, 7159?\n\"Answer: -281*w + 8002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 593034 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15198 + 15230.196. Let y = f - 1.064. Let m = -0.568 - y. Round m to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91660, -91651, -91628, -91585, -91516?\n\"Answer: j**3 + j**2 - j - 91661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = 6*f - 1605. Let j = 17 - 15. Suppose -10 = j*z, 3*h - z - f = 61. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*-1*(-10 + 2790)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 40*t**2 - 105*t + 90.\nAnswer: -5*(t - 3)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 - 3*y - 9. Let r(w) = 14*w**2 - 8*w - 27. Let f(c) = -4*r(c) + 11*s(c). Let h be f(2). Factor -1\/2*v - 1\/2*v**2 + h.\nAnswer: -(v - 2)*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.0433\nAnswer: 0.0866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8530035 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(2592) + (-2 + sqrt(2592) + sqrt(2592) - sqrt(2592) - sqrt(2592)))*-4 + (1 + sqrt(2592)*2 + sqrt(2592) - (sqrt(2592) + -1 + -2)))**2.\nAnswer: -10564 + 2016*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 164320 divided by -41080\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28901, -28984, -29131, -29348, -29641, -30016, -30479?\n\"Answer: -d**3 - 26*d**2 + 2*d - 28876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8532 = -3*h - 5*g - 8772, -3*h + 2*g + 117 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 5, t: 7, m: 1, h: 1}. What is prob of sequence tvl?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -0.5, -5\/4, 10, 1\/2, -24229\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, 47402885, -3?\nAnswer: 47402885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8304 divide 924928248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwyqowqoyq. What is prob of sequence qqyy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4 - (-5)\/10. Let u be (r + 0\/3)*1. Let c = 59 - 38. What is the highest common factor of u and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*o + 18 = 82 + 81 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 4*f**4 + 8*f**3 - 3*f**3)*(-3 - 3 + 5)*(-13*f + 416 - 416).\nAnswer: 52*f**5 + 65*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 17. Suppose n + 2*o - 19 = 3*o, 3*o + 80 = 4*n. Let d = 36 - n. Calculate the remainder when u is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -99.094199.\nAnswer: -99.194199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u + 21*u - 18*u + 9 - 12*u. Let o(j) = 5*j - 2. Determine 2*k(t) + 9*o(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - s + 2*s)*(13*s - 13*s - 2*s**2) as q*s + n + o*s**3 + p*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1, -0.1, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, -0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -37 (c) 5 (d) -9034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21350570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:43 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 2\/(-7) + 38\/(-14). Suppose -3*k - q - 5 - 1 = 0, -4*k - 3*q - 3 = g. Which is the second biggest value? (a) -2\/7 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295752 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 823, 124, -1751, -5384, -11357?\n\"Answer: -97*q**3 - 6*q**2 - 2*q + 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/96 and 31\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*d*i**3 + 11*c*d*i - 2*c*i**3 + c*i + 496*d**2*i**2 - 5*d**2*i wrt i.\nAnswer: -6*c*d*i - 12*c*i + 992*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/55 - 159\/385. Which is the nearest to -0.2? (a) 0.3 (b) -5 (c) j (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 + 4*t - 1. Let i be 2 - (0 + (2 - 3)). Let f be g(i). Solve q + 4*q - 25 = 0, -f*o + 9 = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 9*a + 377. Let u = a + 76. Solve -8\/11*n**3 - 2\/11 + 4\/11*n**u + 4\/11*n + 4\/11*n**2 - 2\/11*n**4 = 0 for n.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-1)\/(-1) + -2. Let i be l*(10\/4 + 1\/(-2)). Solve 4*a - 2*a + 6 = 2*c, -5*a - 11 = -i*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 (base 6) in base 8?\nAnswer: -773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 294530074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 35239*z\/4 + 158535\/2.\nAnswer: (z + 9)*(z + 35230)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 5*s**2 - s - 4. Let y be v(4). Suppose 1 = a - o - y, -3*o = 4*a - 1. Suppose -5*i - 9 = 2*g, -2*i = -3*g + a*g + 5. Is -5 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091796300 + 3?\nAnswer: -1091796297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 6798 - 3765 + 845.\nAnswer: -p - 9718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**23*x)*x*x)\/x)\/((x\/(x*x*x\/x**(-19)*x*x))\/x) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/218 and 49\/10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 25*q - 10*q - 13*q. Let m(o) = -52*o**2. What is s(m(c))?\nAnswer: -104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 83 (c) 233 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6806*k**2*v**5 + 2*k**2*v - 7971*v**2 wrt v.\nAnswer: -408360*k**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*r + 198*r + 6 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -398 and -0.4?\nAnswer: 159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8071*q**2 - 15784*q**2 + 8292*q**2.\nAnswer: 579*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2274\/335 + -495\/67. Which is the closest to 1.59? (a) -1\/7 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -449\/8 - -56. Let v = -5.2 - -5.3. Which is the nearest to v? (a) g (b) 5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -952, -1428, -1904, -2380, -2856?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3667193886.\nAnswer: 2, 3, 163, 3749687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 + 59*w. Let l(a) = -122*a**2. What is y(l(s))?\nAnswer: -74420*s**4 - 7198*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 387.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5418*z**5 - 20060*z**2 + 20060*z**2 + (0 + 0 - z**2)*(-z**3 - 2*z + 2*z) + 4*z**5 - z**5 - 5*z**5 + 0*z + 2*z**5 + 0*z + z**5 - 3*z**5 + 0*z**5.\nAnswer: -5419*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27279 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.405561 millimeters?\nAnswer: 0.5405561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 - 0.37. Suppose 53 = -6*v + 35. Which is the closest to v? (a) p (b) -3\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 814, 1904, 3454, 5476, 7982, 10984?\nAnswer: 14494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119532 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 818 - -16. Does 57 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.4818t to nanograms.\nAnswer: 172481800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13530, 13554, 13588, 13638, 13710?\nAnswer: 13810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 15*u - 230, 8148*l - 518 = 8138*l - u for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -718 (base 9) to base 11.\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 8021236.\nAnswer: -1\/4010618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 4. Let c be u(3). Let t(z) = z + 13. Let a be t(9). Let m = 16 - a. Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, -121020, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s + 205*s**2 - 3 - 68*s**2 + 3 wrt s?\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**6\/3 + 22*p**5\/5 - 23*p**4\/2 + 46*p**3\/3 - 11*p**2 + 4*p + 14. Determine d, given that z(d) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 m when three letters picked without replacement from bmkjbajjmm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 11*l + 3*d + 13, 3*l + 2*d = -4 - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 7*n**2 + 2*n**2)*(-3*n + 3*n + n**2) + (-24*n**2 + 12*n**2 + n**2)*(0 + 0 - 2*n**2).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20*(5 - 2))\/(-1). Let s(f) = 0 + 3 + 141*f + 8 - 142*f. Let i be s(-4). What is the highest common divisor of k and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j + 230. Let s(w) = -w**3 - 8*w**2 - 16*w - 39. Calculate the remainder when k(-12) is divided by s(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34c13a + -40?\nAnswer: -34c17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -2\/13, 4\/9, -0.2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 + 263330*t**3\/3 - 24472392*t**2 + 2275396218*t - 70528971069.\nAnswer: -(t - 263051)*(t - 93)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 56. Which is smaller: 21\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2474766772.\nAnswer: 2, 17, 36393629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - -0.31. Let q = d + 0. What is q rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let u(g) be the second derivative of -7*g**3\/6 + 2*g**2 + 1405*g. Determine -6*d(n) + u(n).\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -2 - (-2 - -2). Let r(s) = -s**2. Calculate r(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqfq when four letters picked without replacement from qqqfqf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -1.9, 0, 2\/67, -8 in increasing order.\nAnswer: -8, -1.9, -1, 0, 2\/67, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2 + 3 - 32*b - 29*b - 3. Let d be m(4). Let x = d + 533. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-24)*2)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = 104. Suppose 710 - 1820 = 5*a. Let r = b - a. List the prime factors of r.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683466891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -3.40419\nAnswer: 2.042514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 - 30*i**2 + 40*i + 36. Let y(a) = a**3 - 6*a**2 + 8*a + 7. Let k(b) = 2*p(b) - 11*y(b). Calculate k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (130*(-160)\/2080)\/(((-20)\/6)\/5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*j - 12. Suppose -j = 3*s - 8. Find the first derivative of 10*w**s + 0*w + 0*w - 105 + 95 wrt w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (9 - 2) + 10 + 4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56571 and -229?\nAnswer: 56800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 13\/24*v**4 - v**2 + 0 + 0*v + 0*v**3. Let u(s) be the second derivative of s**3\/6 - s - 216. Determine u(d(w)).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-63)*(-62328)\/(-212).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3\/3 + 50*x**2\/3 + 5*x\/3 - 50\/3 = 0. What is x?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 13535871339*o**2 + 13535871339*o**2 + 4*o**3 - 3*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -23*a**2 - 37*a - 112. Determine k(-3).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*x - 118, -2*h = -5*x - 81 - 33. Calculate the remainder when h is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - ((-10 - (12 + 19)) + (-3 - -15)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*j + 2 = 1, 4*q = 4*j + 20. Suppose 3 = 6*s - q*s. Put 0, s, -2, 4 in descending order.\nAnswer: 4, 0, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 493. Suppose -51*m - 2360 = -31*m. Let o = f + m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 2*l, l - 1 = -0*u - u. Let r(x) = x**3 - 5*x**2 + 42. Let m be r(u). Suppose 0*j + 6 = j. Calculate the highest common factor of m and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 31.6. What is the nearest to -1 in 1, 11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*25\/((-450)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 113 + l - l - 113.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/(-1)) + 19. Suppose -d = c - 6, 0 = -2*c + 4*d + 17 + 13. Calculate the highest common divisor of f and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.089.\nAnswer: 4.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 3*q. Let t be j(-3). Let d be (2 + 13)*(t - -1). Suppose -x - 56 = -5*x. Solve -2*u + 0*f = 2*f - x, 5*u - d = 5*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -237.7 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/29406 and -29\/698815.\nAnswer: 121593810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244\/25 or -0.0636?\nAnswer: -0.0636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmn when three letters picked without replacement from jmymnxyyxmxnmxmmm.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - -0.07. Let k = -0.306 - 123.694. Let q = k + 122. What is the closest to q in j, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42 - (0 - -3))*-1. Let i = -39 - h. Sort i, 0.5, 2\/39.\nAnswer: i, 2\/39, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (19 + (-18 - 21) - -26).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1.4 (b) 188 (c) 1\/8 (d) 0.1 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58841519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/((-2)\/(-10)). Let y be (-1)\/w - 1\/2. Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 + 33*s**2\/2 + 75*s\/2 + 39\/2.\nAnswer: -3*(s - 13)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(34) + sqrt(34) + sqrt(136)) + sqrt(34) + (sqrt(3400) - 5*sqrt(3400)) + sqrt(34))\/(((sqrt(600) - -4*sqrt(600))*-4 - sqrt(600))\/sqrt(12)))**2.\nAnswer: 1700\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 4*w - 25, -3*o = -5*w - 41 + 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07218 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3275044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let d = 0.84 + -0.94. What is the smallest value in d, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:49 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by -1.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 221 = 211 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.4 times -9?\nAnswer: -2811.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -13. Let w = 12 - 7. Suppose -u + 1 = 0, -6 + 37 = 2*s - w*u. What is the lowest common multiple of s and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133991393 is divided by 273.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*m = 35, -7 = -o + 2*o - 4*m. Let r be o*3\/(-6)*-2. Let w = r + 94. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a**2 + 5*a + 5. Let b(r) = -7*r**2 + 4*r + 4. Determine -7*b(g) + 6*v(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 76 - (20 - 1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19132, -19128, -19120, -19108, -19092, -19072, -19048?\nAnswer: -19020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 17512*f\/3.\nAnswer: 2*f*(f + 8756)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j. Let f(g) = g + 4. Let b(y) = y - 1. Let h(o) = -5*o - 50. Let n(l) = -5*b(l) + h(l). Let s(x) = 45*f(x) + 4*n(x). Determine t(s(k)).\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-36) - (-29)\/2. Suppose h*c = -56 + 1946. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*t = 379*t - p + 62, -8*p + 293 = -9*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*k = -276*k - 277*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from kkkgkgkkkkgkkkk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 2*l)*(l + 30 - 3*l - 7).\nAnswer: -2*l**2 + 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 22*r - 77140. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 9 = -3*a, a + 2*f + 11 = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*g, 5*a + 14 = -g + 2*a. Let r(d) = 906*d**3 - 3*d**2 + 2*d. Is r(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 6, x: 1, h: 7}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let j(w) = -9*w - 3. Suppose -9*y + 4*y + 15 = 0. Let m(p) = y*d(p) - j(p). Let u(z) = z. Calculate m(u(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 195*d**3\/4 + 106931*d**2\/4 + 19455*d\/2 + 274 = 0.\nAnswer: -548, -1\/3, -2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + (42\/(-7) - -13) - -28. Solve 0 = -38*k + u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.7 + 6. Let q = o + 0. Let h = q + -0.5. Which is the biggest value? (a) -2\/21 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5\/10 - 2*d**4 + 7*d**3\/10 = 0?\nAnswer: -7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 1. Let s be l(5). Let q be 274\/(-10) - s\/(-15). Let d = -12 - q. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22513 - -736?\nAnswer: 23451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2030 (base 13) to base 16\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 10}. Give prob of sequence ccc.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*d**2*g*k - d**2*k - 2*d**2 - 4*d*g*k + 40*d*k wrt g.\nAnswer: -27*d**2*k - 4*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -113, -1011, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3315453, 6630933, 9946475, 13262109, 16577865?\n\"Answer: 5*j**3 + j**2 + 3315442*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 94\/18) + 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/11, -1\/2, -0.32?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-4)\/6. Let a(c) = -c**2 - 7*c - 5. Let k(g) = g + 1. Let v(s) = -a(s) - 4*k(s). Give v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*i + 2006 = -35929 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 4*f + 5. Let h(d) = -3*d + 5 + 2*d + 0*d. Let i be h(1). Suppose 0 = 5*x - q + 20, -5*x + i*q - 1 = 4. Determine m(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10109474 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 1 - 3 - 10 + 5*b**3. Let t(m) = -m**2. What is z(t(n))?\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/10)*i*(i*i**(-2\/9))\/i*i*(i**(2\/7))**(1\/10))\/(((i**(-1)*i)\/i)**3*((i\/i**(2\/7))\/i)**4) assuming i is positive.\nAnswer: i**(3937\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 458, 664, 858, 1040?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 30 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4022*v + 19445 + 4687 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3505224748?\nAnswer: 2, 23, 37, 53, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -170*p**2 - 9*p + 8. Let m be u(1). Let b = m + 259. What is the remainder when b is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -0.3728, -1.9, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.53 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1323, -1314, -1309, -1314, -1335, -1378, -1449, -1554?\n\"Answer: -j**3 + 4*j**2 + 4*j - 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-21 + (37 - -17)) - -25?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25 - 2*q**2 - 25. Let c(a) be the third derivative of a**6\/90 + a**3\/6 - a**2. Let g(n) be the first derivative of c(n). Give g(u(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15511, 15507, 15503?\nAnswer: 15499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-45)*24)\/(15\/(-50))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 9*m**2 - 10*m - 9. Determine t(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**5\/5 + y**4\/12 - 2*y. Let n be h(1). What is the smallest value in 1\/10, n, 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14078 + 78825. Let n = 64753.89992 - y. Let o = n + -6.9. Round o to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -44, -65, -84, -101, -116, -129?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20429 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3955 - -5971. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 434\/9 (b) 2\/7 (c) -0.4 (d) 1 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -942.866 + 943. Let s = 2.84 + -2.69986. Let t = s - g. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, 1 w, and 1 h when four letters picked without replacement from yyhwhym?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 16*s**2 - 67*s - 36. Determine u(10).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12505 + 3181 = -506*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 280 - 830 = 3*h, -5*h - 942 = 3*o. Let j = h + 329. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10.62 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 12*g**2 + 78 - 2*g - 78 to b*g**2 + n*g + j + h*g**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.5495186 rounded to one dp?\nAnswer: -172.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131497 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:55 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-5) - 4\/(24\/(-45))*10\/15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12268 and -0.06.\nAnswer: 736.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137536 and 43136?\nAnswer: 92699264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.4. Let b = -0.244 - -0.281. Let l = -0.263 - b. Sort 0.5, l, s, -1.\nAnswer: -1, l, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139885*h - 18 = 2*o + 139879*h, -66 = 5*o + 6*h for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -45*u**3 + 72*u**2 + 48*u + 9. Let w(k) = 46*k**3 - 72*k**2 - 47*k - 8. Let f(y) = 2*a(y) + 3*w(y). Let f(i) = 0. Calculate i.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178638 by 207.\nAnswer: -59546\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 4*n**3 + 9*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 49 = 4*u, -3*u + 3*o + 18 = -18. Let p = -5 + u. Solve -3*i + 4*g = 8, i + 2*g + p = -2*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21711745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.2*0.4.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjjjjsjsj. Give prob of sequence jjsj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1637, -2\/33, 5 in ascending order.\nAnswer: -2\/33, 0.1637, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f + f)*(-1 + 1 + f**2) + (2 - 1 + 5)*(2*f**2 - 2*f**2 + 2*f**2)*(-1749 + 1749 - 78*f) + 0*f**3 - 4*f**3 + 2*f**3.\nAnswer: -935*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**6\/120 - x**5\/30 - x**4\/4 - x**3 - 2*x**2. Let c be k(5). Suppose -c = -2*n - n. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-8)\/12)\/((-3)\/207)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4165\/(-476)*(-132)\/(-55).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 1.1. Let s = f - -3.2. Let y = -2 + 3. What is the nearest to 0 in 3\/5, y, s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-24))\/(20\/24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (8 + -32)) + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (11 - 20) + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -724\/5 + 1223\/10. What is the common denominator of j and ((-39)\/182)\/((-10)\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - ((-48 - -33) + -31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Let x = 11 - 7. Let a be q(x). What is the second derivative of -f + a*f**4 - f**4 + 0*f wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (175\/105)\/((15\/(-1))\/495)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 3915*g**2 + 3915*g**2 - 6245*g**4 - 7538*g**4 + 2*g to t*g**2 + k*g**3 + m + v*g + j*g**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*n + 126 - 196 - 170 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -6*l**7\/7 + 376*l**6\/3 - 655*l**3\/3 + 5652. Find the third derivative of u(s) wrt s.\nAnswer: -720*s**3 + 45120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*((-13566)\/(-120))\/(-133).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 9. Suppose 24 = -6*d + 2*d. What is v(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*z = 9*g + 5874, 0 = 2*g - 2*z + 3902. Let w be (1 + 3752)\/((-8)\/8). Let v = g - w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/3049?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -17. Solve -g*i - 5 = -2*j, i + 3 - 2 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2 = -3*b - 7, 5*b = -h - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, 0.1, 0, -1, -103.66?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1253 - 5?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 43. List the prime factors of t(28).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40878 - -40070.29. Let q = 803 + d. Let c = q + 4.8. Round c to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3169*u**2 + 50 - 1525*u**2 + u**3 - 1644*u**2.\nAnswer: u**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 1\/4 (c) 2\/7 (d) -2.274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/30 + (-2)\/(-2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.07, 1385, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1325584557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/36855 and -47\/6370.\nAnswer: 515970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - -3*sqrt(176))*-1 + sqrt(176) - -6*(4*sqrt(176) + sqrt(176)))**2 + 1.\nAnswer: 128305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1039748 divided by 4\nAnswer: -259937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 16384 = -3*b, 1299 = -h + 4*b + 5395. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -5)*((14 - 79) + (-17 + -7)\/(-2))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0583 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 8*r**2 - 4*r.\nAnswer: -4*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(11) + 5 + -2.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5957, 5979, 6001, 6023, 6045?\nAnswer: 6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 z when three letters picked without replacement from azkbbof?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/5 - 3864*n\/5 + 7736\/5 = 0 for n.\nAnswer: -1934, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -714*y**2 + 12868*y\/5 + 3968\/5.\nAnswer: -2*(7*y + 2)*(255*y - 992)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -0.2?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + ((0 + sqrt(108) + 0)*-3 - (sqrt(108) - (sqrt(108)*2*-3 - sqrt(108)) - sqrt(108) - (0 + sqrt(108)*1))) + 2)**2.\nAnswer: 216*sqrt(3) + 8752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let o be 11\/4 + (-21)\/28. Let r(k) = 2 - o*k - 2 + 0. Give r(z(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, o: 3}. What is prob of sequence oo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6308 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k)**(1\/18)*(k\/k**(-1))**(1\/21) assuming k is positive.\nAnswer: k**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -a30a0?\nAnswer: -a30a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 3*b + 2. Let f be (18\/21)\/(3\/(-21)). Let z(g) = g + 4. Let l be z(f). Give m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1468, -2727, -3986?\n\"Answer: -1259*r - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**6\/30 + 49*i**4\/6 + 25*i**2\/2 - 74*i. Find the first derivative of z(l) wrt l.\nAnswer: 4*l**3 + 196*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x + 16. Let c be p(-20). Let n = 11084\/5 - 4411\/2. Find the common denominator of n and (-2)\/8 + (-296)\/c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -31.1141.\nAnswer: 31.1141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*n + 3*u, 4 + 2 = -2*u. Let r(k) = -k**3 + k**2 + 10*k + 15. Let a be r(n). Which is smaller: a or 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.9. Let i = -3 - -2. Are i and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/15, 14, -21, -4 in descending order.\nAnswer: 14, 0.5, 2\/15, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:40 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 269*f + 1. Let l(d) be the first derivative of -135*d**2\/2 - d + 1. Let j(b) = -4*k(b) - 9*l(b). Let c be j(5). Round c to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide -7 - -5*1105\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19))*-2 + -3 + (-4*(sqrt(475) + -2))**2)*5.\nAnswer: -1610*sqrt(19) + 38325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*l - 0 - 55. Which is smaller: l or -5\/31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -141027 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83806170 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17339 - -25934. What are the prime factors of s?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:37 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12472 (base 9) to base 2.\nAnswer: 10000011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 2)*5 - (0 + (sqrt(242)*1 - sqrt(242) - sqrt(242))) - (3 + 1 + sqrt(242) + 1)*-3)**2.\nAnswer: 4950*sqrt(2) + 20227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84222682 and 14?\nAnswer: 589558774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448) + 5*(sqrt(2448) + 1) + -1 + sqrt(2448) + -3)**2.\nAnswer: 192*sqrt(17) + 156673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9. Suppose -15 = -5*f, 2*f = v*g - g. Solve -5*n - 22 = g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23547.51l?\nAnswer: 23547510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 75 = -15*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**4 + 370064*n**3 + n**2 - 8*n + 849995?\nAnswer: 216*n + 2220384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1639 - 259. Let c = v + 3027. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 864*s - 1732. Calculate r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 3*h - 2*h + (1 + 3 - 3)*(1 + 2*h - 1) + 12 - 12 + 3*h to the form k*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {c: 5, f: 2, g: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**2 - 11*n**3 + 12*n**2 + n**3 - 3*n**3 + 3*n**3 + (-6*n + 4*n + 4*n)*(2*n**2 + 2 - 2) - 3*n**3 + 2*n**3 + 0*n**3 + n**3 - 3*n**3 + 3*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -44.6449\nAnswer: 44.6449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1447*c + 19. Let n(v) = -7229*v + 98. What is -31*h(g) + 6*n(g)?\nAnswer: 1483*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 1346 = -125*x + 715 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1507*o**6\/30 + 223*o**2 - 228*o + 1. What is the first derivative of l(m) wrt m?\nAnswer: 6028*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26 + 2 = 2*s, -7 = -3*q - 5*s. Find the common denominator of -16\/9 and 3\/q + 122\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 549161 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 28 = 42 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 18 = -18. Suppose -4*a - i = 5*o, -4*a = -4*o - 13 - 23. What is the tens digit of 120\/4*(-3)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -8.\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((((h**(-2\/7)\/h)\/h*h)\/h)\/h))\/(h\/(h*h\/(h\/h**(5\/3))*h*h))*(h**(-1\/4)*h)**(-6\/31))\/((h*h**(2\/5)*h)**10)**(3\/14) assuming h is positive.\nAnswer: h**(3469\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*3)**2 + ((5*(sqrt(17) + -2 - sqrt(17)))**2 - sqrt(17)).\nAnswer: -sqrt(17) + 18613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, z: 2, h: 1}. Give prob of sequence wzz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 m when four letters picked without replacement from miimmnmmnmmm.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4295 and -49?\nAnswer: 168.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205610 - 5?\nAnswer: 205602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6612 times 5\nAnswer: -33060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 + 30*x + 42. Let m be i(-11). Let w = -981 - m. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/23 - 32*p\/23 - 78\/23.\nAnswer: -2*(p + 3)*(p + 13)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2028*z**3 - 5*z**2 - 66014*z wrt z?\nAnswer: 12168*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - 308*p - 8. Let r(v) = 2*v**2 - 306*v - 6. Let x(o) = -3*f(o) + 4*r(o). Factor x(j).\nAnswer: -4*j*(j + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 357\/12 - (52\/(-16) + 3). Suppose 2*m + g = -4*m. Let r(u) = -3*u + 4 + u + u**2 + u**3 + 3*u**2 - 1. What is r(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222765529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 987543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/2, -2\/5, -1\/5, 6173?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, -2, -34.5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10300*y**2 - 10298*y**2 - 48 - 10299*y**2 + 41196*y**2 + 48 - 10298*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 2)*(0 - 4 + 1)*(-3385 + b - 9*b + 3366) to the form r + g*b and give r.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 635? (a) 3\/5 (b) -2 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000264 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 1, s: 2, b: 1, q: 3, r: 4}. Give prob of sequence vra.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 11:01 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-76)\/38*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-7)*(14\/(-4))\/7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 8*z - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*a**6 + 648715*a**5 + 61*a**2 - 2*a - 328354.\nAnswer: -2160*a**3 + 38922900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5990518 to the power of 1\/2, to the nearest integer?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14918 + -90.\nAnswer: 14828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -264 * 5\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m + 6*m**2 + 2*m + 6*m**2 - 10 + m**3. Is 12 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -19*y - 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.7664 - 380.3364. What is k rounded to the nearest integer?\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*388*(-15)\/150. What is the greatest common divisor of y and 3007?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -5 (b) -0.3 (c) -1.2112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1515 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1111424 + -0.111. Round m to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026085463 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7005.13231 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 - v**3 + v + 1. Suppose -5*r - 11 = 4*a + 4, 3*a = r + 3. Let k be i(a). Solve k*l = l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:26 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46250 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -256.32 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -182, -178, -172, -164?\n\"Answer: l**2 + l - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 4*r**3\/3 + 22*r**2 - 168*r - 223. Let l(f) = 0. What is f?\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200397 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 - 296*v + 1632 = 0?\nAnswer: 6, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602443*k + 602435*k + 0 - 6*k**3 + 0.\nAnswer: -6*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -5*a. Suppose -3 = -s + 2*q, a*q - 3*q - 3 = -s. Suppose u + 6*x - 16 = 2*x, -s*u + 4*x - 16 = 0. Put 4, -1, u in descending order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*w + 2735 = 2738, -t + 5*w = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813197 take away 1134?\nAnswer: 2812063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753 by -753.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = 3*h, 3*x - 4*x + 2*h = 1. Let k = -501437 - -501432. Sort x, 0, k, -3.\nAnswer: k, -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*c - 4*o - 25, 3*c - o - 11 = 0. Calculate the highest common divisor of 27 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvicvicvicivivnnivi. What is prob of sequence cvn?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5978099 - 4?\nAnswer: -5978103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + -5 + sqrt(448) + sqrt(448)*3 + -3 + 0))**2.\nAnswer: -16000*sqrt(7) + 181700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25679 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-42))\/(108\/(-6048)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/20 and -11\/33948.\nAnswer: 169740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -114*i + 1365. Calculate y(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 35*i**2 - 235 + 73 + 73.\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -79298522 less than -79298524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21153.48 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.3. Let j = 3 - 2.9. Which is the nearest to -2\/5? (a) -5 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(242) + (sqrt(242)*4)**2 + sqrt(242) + 4) - (-3*2*sqrt(242)*-6)**2.\nAnswer: -321384 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -194458, 3, -1, 0 in descending order.\nAnswer: 3, 0, -1, -194458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001460386 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21934488 divided by -430088?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -2\/1315 (b) 1\/17 (c) 2\/11 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 32*g**5\/5 - 15*g**2 + 3. What is the second derivative of j(d) wrt d?\nAnswer: 384*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836 divided by 4\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 722570561 to the power of 1\/3, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235126?\nAnswer: 2, 117563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/3 + 18*c**4 + 34*c**3 + 50*c**2\/3.\nAnswer: 2*c**2*(c + 1)**2*(c + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-2 - -3 - 2). Let a = 2 + d. Let t(j) = -7 - j + 0*j + 2*j + 16. Determine t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let c(i) = i**2 - 13*i + 9. Let z be c(12). Let s be q(z). Let b = s - -16. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 7*j. Let b = -102 + 114. Let v be (-6)\/b + ((-171)\/(-6))\/1. Let k be (-8)\/v + (2 - (-204)\/(-21)). Give f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 2*b - 457. List the prime factors of t(-35).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103223 (base 4) in base 16?\nAnswer: 44eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6724618, -6724619, -6724620, -6724621, -6724622?\n\"Answer: -z - 6724617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*p - 274 + 274)*(-74212 + 247*p + 74212)*(2 + 3 - 3) to s*p**2 + c*p + b and give s.\nAnswer: -6422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k. Let s(b) = 5*b**2 + 6*b - 2. Let u(l) = -l**3 + 5*l**2 - 4*l - 6. Let i be u(4). Give i*c(m) + s(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/5 + 38*y**3\/5 + 86*y**2\/5 - 38*y\/5 - 84\/5 = 0.\nAnswer: -2, -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/9 (b) 2\/5 (c) 90208 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let w be v(-2). Let o = 22 + -18. Suppose 0 = -3*k - 4*b + 18 + 8, -8 = -o*b. Sort w, -5, k.\nAnswer: -5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 + x**2 - 2*x**2 + (-2 - 3*x**2 + 2)*(-6 + 4 + 3))*(207*x - 55*x + 75*x + 94*x) to y*x + n*x**3 + c + r*x**2 and give n.\nAnswer: -2247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q**3 - 3*q**2 + 3*q - 3371 + 3383 - 5*q + q**2 + 4*q to w*q**2 + t*q**3 + r + b*q and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*h - 9*h. Suppose -5*o - 3*a + 11 = 0, h*o + 5*a = 5 - 0. What is the second biggest value in -1\/4, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 68, 99, 132, 167, 204?\n\"Answer: q**2 + 26*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-3\/4))\/((w**(-1)*w)\/w*w))**(2\/11))**(-6))**33 assuming w is positive.\nAnswer: w**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1238 - ((-60)\/5)\/3. Suppose -q = 5*n + n. Let r = -32 - n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(16\/6))\/((-15)\/(-20)). Suppose 5*y = -s + 6, -4*y - 2*s + g = y. Solve 5*n - 3 - y = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*y - 493*y - 8332 - 6566 = 0 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 18, 5, 14666 in descending order.\nAnswer: 14666, 18, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + 9 = 0. Let a be 2 + (-15)\/o - 0. Suppose 2*x = x - 5*z - 10, 0 = 5*z + 15. Put x, 0, a in decreasing order.\nAnswer: x, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 999 divide 1826609541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-20))\/((-6)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -208.6393 and -0.04?\nAnswer: 8.345572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 2*v**2 + 2*v - 1. Let b be f(1). Let w be 18\/(-2925)*-13*(-6 - 498\/(-84)). Is w <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/60 - b**4\/6 - b**3\/2 + 18*b**2 - 86*b - 1. Let r(u) = -u**2 + 3*u + 4. Calculate -3*q(t) - 2*r(t).\nAnswer: -t**2 + 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 8*j**2 - 11*j - 4. Let v be s(-1). Let k(l) = l**3 - 4*l**2 - 5*l + 5. Let q be k(5). Sort v, q, 3, -3.\nAnswer: -3, v, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5 - 13*b**4\/4 - 61*b**3\/4 - 8*b**2 + 3*b = 0.\nAnswer: -2, -1, 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l - 45. What are the prime factors of y(-20)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*d - 2*d + 8, -u = 4*d - 8. Let k(x) be the first derivative of x**3\/3 + x**2\/2 + 12*x - 4. Calculate the least common multiple of 10 and k(u).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 1379*g**4\/3 + g**3\/6 - 8*g**2 - 8*g. Let b be k(-8). What is b rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 27*v**3 - 5*v**2 - 5*v - 5. Let q(r) = -14*r**3 + 3*r**2 + 3*r + 3. Determine -3*h(m) - 5*q(m).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 3ba016?\nAnswer: 3ba019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from zzqzzqzzqzzzzzzzzzzz.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2 - 3)*(-4*x - 4*x + 5*x)*(0*x**3 + x**3 - 8*x**3)*(1 - 1 + x).\nAnswer: 294*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000075 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 24*y - 37. Let z be c(10). Solve 5*s + j - 4*j = 9, -3*s + 3*j + z = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 4400 = 9*d + 2*u, 0 = 3*d - 2*u - 6601. Suppose 3*s - s + y = 1099, 0 = -4*s - y + d. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 1\/2*w**5 + 0*w + 1\/3*w**6 - 35\/6*w**3 + 0 - 5\/3*w**4 + 160*w**2 + 1\/42*w**7. Solve u(n) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 4*y**3 + 0*y**3 + (3 - 2*y - 3)*(4 - 2*y**2 - 4) + 5 - 5 - 9*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50152914 + -1?\nAnswer: 50152913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 87572*m\/9 - 958606898\/9.\nAnswer: -2*(m + 21893)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143637400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 + 104*n**4 + 396*n**3 + 584*n**2 + 386*n + 96.\nAnswer: 2*(n + 1)**4*(n + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((3\/2)\/((-21)\/(-7))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -601*u + 604*u - 2*f, f + 1 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 + 3) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309219 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 12*v**2 - 8*v + 13. Suppose -s = -4*a + 37, -a + 3*s + 11 = a. Let l be k(a). Calculate the greatest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2) + (-1 - -1). Is 18 + (u - -1) + -1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 4*y**4 + 3*y**2 + (2*y - 3*y + 0*y)*((-3*y + 3*y + y)*(0 + 0 + 1) - 5*y + 3*y + 0*y)*(-17*y**2 + 5*y**2 - 8*y**2).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - u = -4*p + 81, 76 = 4*p + 4*u. Suppose 0 = 6*i - 9*i. Suppose i + p = 2*d. Solve 2*o + c - 3 - 1 = 0, 2*c = 2*o - d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1463*i - 4 + 4 - 1462*i. Let b(a) = -4*a**2 + 4*a**2 + a**2. Determine b(j(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 633872 and 458?\nAnswer: 633872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125*b**2 + 344.\nAnswer: -250*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536 + -5?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 - 17. Let m = b + -160.8. Let y = m + -34.200000381. What is y rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2*u - 3. Let l be (-4 + 6 + -4)*2. Let m be d(l). Suppose -m*q + 60 = -0*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1962572 is divided by 725?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188742073.\nAnswer: 13, 85909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8135864 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, 73, 135, 249, 433?\n\"Answer: 3*t**3 - t**2 + 10*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142*y**3 + 1401332*y - 264894991 wrt y.\nAnswer: 426*y**2 + 1401332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36909\/8 - 4608. Calculate the common denominator of h and -145\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*o = 41272 - 38752 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1300)\/sqrt(4))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = 37*o - 6 + 690 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Suppose -7*a + b*a + 50 = 0. Let x be (-170)\/(a\/(-12) + 2). What is x rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9316)\/(-6))\/((12\/(-9))\/(-2)) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 10\/((-10)\/(-27))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/98)\/((-2)\/(-6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1899 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 16*c**2 + 2*c - 28. Let i be o(16). Suppose u = h - 5739, 5*h - 28675 = -9*u + i*u. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*h + 5*c, 3*h - 21 = c + 2*c. Find the common denominator of 9\/11 and 13\/2*h\/(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3 + (-24)\/9). Put -0.3, -1\/3, -2\/15, p in increasing order.\nAnswer: -1\/3, -0.3, -2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 + 162 - 66*j in the form i + z*j and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8963*j + 2285813. Give b(-255).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14014847109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*j - 90*j - 12 + 16*j - 27*j**3 + 29*j**3 + 2*j**4 as q*j**4 + h*j**3 + b + w*j**2 + m*j and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*g - 2*g. Suppose 2*k + g = 15. Solve c + 2*b - 9 = 0, 2*c = c - k*b + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2732?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -15*n - 4. Solve -5*v + 6 = p, -n*v + v + p = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 73. Let b = -72.000051 - o. What is b rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2007518\/2275 - 6177\/7. Let r be 1639\/(-4550) + 2\/7. Let b = r - q. Put -1, 2, -0.4, b in decreasing order.\nAnswer: 2, b, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from ttrrcgggxgt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 a when four letters picked without replacement from {a: 5, t: 1, p: 1, g: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4, -5, 352?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 2*z + 5*z to s + u*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 - 240*y + 901. What is h(4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 e when three letters picked without replacement from {b: 3, e: 1, x: 2, d: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + p = -11023, -8*h + 10*h + 4*p - 7330 = 0. List the prime factors of h.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -12 - (4 - (-3 + 3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.4 and 0.4.\nAnswer: -10.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 4*y + 7. Let k be q(-4). Let w = k - -28. Solve w*j - 2*j = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 21*r + 21*r)*(2 - 2 - 3)*(-12*r + 33*r - 98*r).\nAnswer: 924*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*d = 623. Let j = 88 + d. Let b(c) = -8*c**2 - 1. Calculate b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*y = -16, y + 3*y = 5*o + 65. Let p(f) = -f**2 - 13*f - 5. Determine p(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8107 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 8) to base 2\nAnswer: 11000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/178120 and -83\/11760.\nAnswer: 52367280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0 + 6 - 6 + 4*t. Let m(d) = 4*d. What is m(q(j))?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/12)\/(3\/11763). Let p be 1\/3 + g\/(-21). Suppose -4*a + p = -a + l, -a = 2*l - 152. What is the greatest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 0 = -72. Solve -2*c - 5*b = -15, 0*b - s = -3*c - 3*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/66960 and -8\/3999.\nAnswer: 2879280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -53*f - 66*f. What is the highest common factor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21224066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -30 + 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s + i, 0*i - i = -s. Suppose -2*h + 1 = -b, 2*b + h = -3*b + 28. Solve 2*p + b*g - 6*g - 10 = s, 0 = -3*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/11, 3, -61513, 4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*s - 7271 = 40*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 134b (base 12) to base 9\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 3*g - 34 = -6*b, 2*b + g + 13 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/sqrt(176) + sqrt(63) - sqrt(7623)*-2)\/((sqrt(1089) + (sqrt(1089) - sqrt(1089)*-2))*-5).\nAnswer: -93*sqrt(7)\/880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4\/7 + 226868*p**3\/7 + 7490136*p**2\/7 + 49035888*p\/7 - 220644000\/7 = 0. Calculate p.\nAnswer: -18, 3, 56750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/9 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.898697352 to 3 dps.\nAnswer: 1.899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80196 is divided by 80179?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-5)\/(-30))\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 11*p - 65 = 0. Put -6, 1, p, 0 in ascending order.\nAnswer: -6, p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61318? (a) 0.2 (b) 3\/4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 54*d + 1800 = -78*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138328 divided by 794?\nAnswer: 5212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 15*f**2 + 26*f - 1. Let p be s(-4). Solve 0 = 3*a + a + 5*i + 21, 5*i - p = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let n = -2.2 - o. Suppose -28 = 3*c + 2*u + 2*u, -2*u + 12 = -5*c. What is the third biggest value in n, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 328*v**4\/7 + 985*v**3\/7 + 141*v**2 + 331*v\/7 + 1\/7 = 0. Calculate v.\nAnswer: -1, -1\/328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 20 = 136*t - 138*t, -82*t + 16*t + 5*o - 172 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540920627?\nAnswer: 7, 47, 1103309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h. Let g(o) = -4 + 4 + 0 + 16*o. Determine s(g(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3999 + -3999. Solve 8\/3*a**4 + g + 2\/3*a**5 + 2\/3*a + 8\/3*a**2 + 4*a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) - (6 + (-232)\/32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -1. Let s = 5.1 - 3.5. Let y = s - -1.4. What is the second biggest value in k, -2\/17, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-168))\/(3\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*l + 14*l**2 - 6*l**2 - l**2 - 6*l**2 to the form x*l + s*l**2 + z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -57. Suppose 0 = -3*o - k, 4*x + 2 = 2*x + 2*o. Calculate the remainder when x\/(-7) - (-6075)\/175 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 556 + 602?\nAnswer: b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + s**2)*(-3 - s + 4*s - 8*s) to d + a*s**3 + w*s**2 + n*s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/81963 and 43\/53322786.\nAnswer: 373259502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332388 is divided by 454?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a834 (base 11) in base 15?\nAnswer: 4395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/773, -45, -1\/3 in ascending order.\nAnswer: -45, -1\/3, 17\/773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 + 1. Let s(f) = -1. Let i(w) = -l(w) - 5*s(w). Let p(d) be the first derivative of i(d). Factor p(m).\nAnswer: -3*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/(((-16)\/(-7))\/16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*h**3 + (2*h - 5*h + 4*h)*(-2*h**2 + 3*h**2 + 2*h**2) - 3*h**3 - 3*h**3 + 2*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3\/4 - 231*l**2 - 19623*l\/4 - 4674 = 0. What is l?\nAnswer: -19, -1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218616102 rounded to three decimal places?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12. Sort 5, s, 3 in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92449894, -92449883, -92449850, -92449783, -92449670, -92449499, -92449258?\nAnswer: -92448935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1848)\/(-336)*(-2 - (-46)\/11). Let h be (-8 - -2)*2\/(-3). Calculate the greatest common factor of h and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 3. Let j(i) be the first derivative of 11 - 1\/2*i**2 + i. What is 2*j(z) - o(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 682*i + 5750. What is f(-8)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -373, -625, -891, -1177, -1489, -1833, -2215, -2641?\n\"Answer: -m**3 - m**2 - 242*m - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 - -145. Suppose 3*x = j - 14. Let o = 21\/23 - 235\/207. Which is the nearest to 0.01? (a) x (b) o (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 divided by 134827?\nAnswer: -345\/134827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/174*(37\/20 - 2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*d + 346*d = -37407 + 8175 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d + 3*k - 111, 4*k = 5*d - 140. Sort 3, d, -3 in descending order.\nAnswer: d, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l + 42. Let n be t(-5). Let c(s) = s + 23. Let j(g) = 6*g. What is the smallest common multiple of c(n) and j(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irii when four letters picked without replacement from {r: 9, i: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1404 = -4*x - 1406, 2*x - 2*j = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i. Let u(w) = 9*w**2 - 7*w - 8. Let h(t) = 2*u(t) - 14*v(t). Let g(s) = s**2. Calculate g(h(q)).\nAnswer: 16*q**4 - 128*q**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/2339?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*c + 87 - 2078, -4*f + 3*c - 1582 = 0. Let l = -395 - f. Solve 2*m + 10 = 6*m - l*p, -m - p = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -58045, 0, -1.\nAnswer: -58045, -93, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9 - (6 - ((-27 - -12) + 28)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 4*a**2 + 3*a + 4. Let y(s) be the third derivative of s**6\/40 + 3*s**5\/20 + 7*s**4\/24 + 3*s**3\/2 - 17*s**2. Give -7*i(o) + 3*y(o).\nAnswer: 2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2959905*i - 1. Let o(y) = -y**2. Calculate s(o(n)).\nAnswer: -2959905*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*x = 115, -2*b - 6*x = -3*x - 63. Let l be 3\/(b\/(-79796)) - (-22)\/(-55). Round l to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 4284.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2669\/5 + -16019\/30. Put -41, -9, y in ascending order.\nAnswer: -41, -9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + 1)) + 4 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from ssjryyw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 10. Let j be h(6). Suppose -62 - 40 = -j*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5121, 10239, 15357?\n\"Answer: 5118*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2*q - 25, 0 = 32*z - 31*z - 4*q + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 1156*o - 29453. Calculate t(-26).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80897 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 786*m**2 - 45540*m - 799848 = 0. Calculate m.\nAnswer: -14, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (47 + -4 + -55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*y + 218*y - 200 = 0. Calculate the greatest common factor of y and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -37. Let d(z) = -76*z - 9. Let y be d(o). What is the units digit of (-12)\/(-15)*y\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80\/200*(-13245)\/(-3) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 4217258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 52, 61, 72, 85, 100, 117?\n\"Answer: o**2 + 4*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1189 - 1269. Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q - 95. Let t = -1137 + 1132. Is t greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/162709280 or 1?\nAnswer: 11\/162709280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 124*n - 3917. Calculate c(-54).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 15 + 16 + 8 - 40 - 17*h.\nAnswer: -17*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + z - z)*(0*z + 3*z - z) + 30*z**2 + 90*z**2 + 97*z**2 + 0*z + 2*z**2 + 0*z in the form l*z**2 + i + o*z and give l.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 265 or 400060?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -81*q + 81. Let t(x) = 5*x - 5. What is -2*o(w) - 33*t(w)?\nAnswer: -3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2737070 = 818*l + 2647090 for l.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(2299)*-2)**2 + -5 - ((-1 + sqrt(1539))*5 + sqrt(1539) + sqrt(1539)*1*-1 + sqrt(1539) + -1)**2.\nAnswer: -46241 + 780*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(12)\/(sqrt(18)\/sqrt(3)*5) - (2*sqrt(432) + sqrt(12))\/(sqrt(60)\/(2*sqrt(10))))**2.\nAnswer: 31752\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 61*y + 457. Let c be u(-70). Is 1090 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12)*1)\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 12\/23 (b) 0.2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -5, -20, -53, -110?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.12, -20750, -0.2?\nAnswer: -20750","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -11, -0.5, -2\/29.\nAnswer: -11, -2, -0.5, -2\/29, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {m: 14, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1360 or -1318?\nAnswer: -1318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 7)\/((-1)\/(-2)*(-3952)\/(-52))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 32, 71, 126, 197?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3 - 5. Suppose n - k = -n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -19. Suppose 0 = 9*a - 6*a - t. Suppose 5*o - o - 256 = 5*p, 0 = a*o - 4*p - 311. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 91*s**2 + 13*s - 55. Determine a(91).\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/120 + t**5\/60 + t**4\/12 + 7*t**3\/3 - 30*t**2. Calculate the smallest common multiple of q(0) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 233584774.62 from 7.\nAnswer: -233584767.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 29117 + 5357. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2\/31 (c) -1954 (d) -0.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 7*t + 84 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*k - 10 = 5, 0 = -2*a - 2*k + 10. Let r(n) be the third derivative of 46*n**2 + 1\/24*n**4 - 7\/6*n**3 + 0 + 0*n. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1.16. Let c = -8740 + 8740.059944. Let h = q + c. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 57923*u**2 + 1273799*u - 1331723 = 0. Calculate u.\nAnswer: -57901, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-3)*(2 + -1 + -88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 0*b**2 - 3*b**2 - 2 + (-b - 6*b + 2*b)*(-2*b + 4*b - b)*(0 + 0 - 2).\nAnswer: 7*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12582)\/(-14679)*((-38)\/12)\/1\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 6*w**2 + 5*w - 3. Let o be t(5). Let z = 1 + 1. Calculate the smallest common multiple of z and (-2)\/(-10) - o\/35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5 - 27*u**4 + 21*u**3 + 27*u**2 - 24*u = 0. Calculate u.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720))\/(sqrt(44)\/sqrt(891)).\nAnswer: 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 104*c**2 + 2 + 36*c**2.\nAnswer: -68*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7381270 * 23\nAnswer: -169769210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -110434 less than -1435659\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497704?\nAnswer: 2, 62213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52283*a**3*b**3*o + a**3*b**2 - 3*a**2*b**3 - 89*a**2 - a*b**3*o wrt o.\nAnswer: 52283*a**3*b**3 - a*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 26*r**2 - 3045*r + 21402. What is l(7)?\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 18 = 21*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7613099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (-2 - 0)\/6 - 6860\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 52436 (b) -3 (c) -4\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a + 14*a - 3*a - 15*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Let m(s) = 21*s + 8. Let d(b) = -62*b - 22. Let g(l) = 4*d(l) + 11*m(l). Give k(g(t)).\nAnswer: 289*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 8*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-3)\/(-20). Let r = 57 - 57. Sort -2, -3, r, b in ascending order.\nAnswer: -3, -2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w + w**2 + 0 - w**3 - 1\/12*w**4. Let f be u(-4). Solve f*h - 22 = -4*x, -3*x = -5*h + 2*h + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 19*x**2 + 15*x - 54. Let q be t(-18). Solve -1 = -4*i + 3*o, 5*i - 4*o - 3 + 1 = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*m = -6, -3*d + 0*m - 6 = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*z + 44*z + 8. Find the second derivative of -12 - 17 - 23*g + g**z + 29 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4232 to 2 dps.\nAnswer: 4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3, 3*q - 11 = -4*z - 2. Suppose -57 = -z*n - 3*b, -9*b = -2*n - 5*b + 68. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -45, -65, -83, -99, -113, -125?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -25*k + 1337. What is the least common multiple of 3*3 - (-17)\/(68\/(-16)) and k?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19582, -19474, -19364, -19252, -19138, -19022?\n\"Answer: d**2 + 105*d - 19688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -32*s**3 - 2*s**2 + 1. Let m = -145140 - -145254. What is the remainder when m is divided by v(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 391452*v\/13 + 782896\/13.\nAnswer: 2*(v - 195724)*(v - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -88. Calculate the lowest common multiple of 0 - (c - (0 - 1)) and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + o - 3*o = 0. Let n be (-3)\/6 + 34\/4. Solve 4*q + o*q = n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 + 3 + -1 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11727 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 226 = 71. Let o(m) be the second derivative of 0 + 11\/3*m**3 - m**2 - w*m. Find the first derivative of o(f) wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k + 7. Let w = 16 - -14. Suppose 10*p = 5*p - w. Find the common denominator of -21\/11 and h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j - 2*i, j - 5*i - 11 = 3*j. Calculate the greatest common factor of 112 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6991\/11 + -635. Suppose -3*r = -4*h - 5 + 1, -2*r = -3*h - 3. Suppose 0 = -r*u - 10*u. Is u less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3853*n. Let p(h) = -2553*h - 1. What is p(a(o))?\nAnswer: 2553*o**2 + 9836709*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -323, 15\/11, 14.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*d - 118, 3*d + 0*d = -5*u + 62. Let y be (d\/9)\/((-1)\/(-3)). Let i = -6 + y. What is the greatest common divisor of i and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -2)*4 + -1 + sqrt(243) + (0 + sqrt(243) + 1)**2 + (sqrt(243) + 1)**2 + 1.\nAnswer: 85*sqrt(3) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1093*i*u**3 - i + 1075 wrt u.\nAnswer: -3279*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.7778l in millilitres?\nAnswer: 323777.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2525*h - 229. Let j(s) = 3787*s - 319. Calculate 5*j(g) - 7*y(g).\nAnswer: 1260*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38804899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0 (c) 4 (d) -2 (e) -3 (f) 335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + 16. Suppose -194 = 6*j + n. Let o = -26 - j. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 476610.9708661 - 476611. Let t = -348.0291 + 348. Let a = t - i. What is a rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464036297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -19.4\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31.59148 decades?\nAnswer: 3790.9776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8423244 by 183114.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 89. Suppose p = g + 4*g, 0 = h*p. Solve -3*t + 3*l + 9 = g, 3*t + l - 2*l = 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let r = -1 - v. Solve 3*a - 8*a + 5 = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54413172483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7097*o + 2*u = 7101*o + 358, -2*u + 886 = 3*o - 13*o for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 2*k**6\/45 + k**5\/40 + 5*k**3\/2 + 19*k. Let v(m) be the second derivative of q(m). Find the second derivative of v(a) wrt a.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4 = -6*m. Solve -m*q = v - 2*v + 4, -3*q = -4*v - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3\/3 - 1. Suppose -4*y + 3*m + 487 = 0, m + 595 = 6*y - y. Let q(w) = -y + 118 + w. Calculate q(s(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263739887?\nAnswer: 17, 83, 186917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/330 + 31*u**4\/12 + 1348*u**3\/33 - 4*u**2 - 419*u. Solve x(q) = 0 for q.\nAnswer: -337, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 21. Suppose d*h + 2*h - 152 = -5*j, -h - 68 = -2*j. Calculate the remainder when 126 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35639973 - -0.15.\nAnswer: -35639972.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*v - 8, t + 3*t + 4 = -3*v. Solve 1 - v = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = -2*g - 5*v, 2*v + 24 = g. Let k(o) = g*o + 22*o - 56*o + 20*o. Let i(p) = 3*p. What is i(k(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5166 and 3317679.\nAnswer: 46447506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 10*t**2 - 13*t**2 + 44*t**2 - 2*t**3 to the form z*t**3 + u*t + a + j*t**2 and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 43. Suppose -b + 233 = 3*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 16*t**2 + 16*t + 46. Calculate h(15).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653*k - 650*k - 33 = -5*d, -2*d = 4*k - 44. Suppose 0 = -0*c + 5*c. Solve d = -a - c*a + 4*x - 3, 0 = -2*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5139 + 21*f - 2*f**3 - 5139 - 4*f**4 in the form b*f**4 + p*f**3 + r*f + k*f**2 + o and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 65\/16?\nAnswer: 65\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25979 - -25983. Solve 2*x + 19 = 3*v, -v + l*x + 0 = -23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9)*k)**(-16\/7)\/(k\/((k\/(k**(-1\/5)*k*k)*k)\/k)*k*k*k*k\/k**(-11)))**(-7) assuming k is positive.\nAnswer: k**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.921947 minutes to days.\nAnswer: 0.00341801875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**5 + w**4 + w**2 - w. Let j(d) = -4*d**5 - 2*d**4 + 2*d**3 - 6*d**2 + 6*d. Let f(x) = j(x) + 6*l(x). Let f(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3694441 and 5?\nAnswer: 18472205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -115. Let w = 0 + 2. Suppose -4*o + w = -n. Which is the third smallest value? (a) -2 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iikk when four letters picked without replacement from {k: 9, i: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 831 - -465. Calculate the smallest common multiple of 33 and (1\/(-2))\/((-18)\/g).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1707 - 1087. What is the greatest common factor of k and 1984?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18.232 and -229.\nAnswer: -247.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11615\/248 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let z(m) be the second derivative of -m**4\/3 - 34*m**2 - 3*m + 18. Let f(j) be the first derivative of z(j). Give u(f(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3494097218?\nAnswer: 2, 47, 37171247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -15) + (21 - (1 + 18)) - 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*12\/9*5075\/2900.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661193835.\nAnswer: 3, 5, 17, 263, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/20*-6 + 4. Let t(l) = -3*l**2 + 3*l + 4. Let c(g) = 8*g**2 - 8*g - 12. Calculate r*c(a) - 14*t(a).\nAnswer: 2*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 24*j - 97*t + 100*t = 100, 3*t - 54 = -3*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*m - 2 = -80*m. Suppose m*x + i - 40 = 0, 14*i - 16*i - 67 = -3*x. Calculate the highest common divisor of x and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-3)\/27). Let z(o) = -o**2 + 10*o + 2. Let w be z(9). Let v = w - -7. Calculate the highest common factor of v and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:25 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let t(d) = 2*d**2 - 8*d + 20. Let h be t(8). Suppose n = 3*s - h - 210. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5*z**2 - 3*z**4 + 11*z**2 - 2*z**5 - z**5 - 3*z + 6*z**3 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73322 = 366*z + 60146 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.37, 4, -15\/59, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/324 and -53\/8.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g\/g**2)*g)*g)**(-4\/11)\/(((g\/(g*g**(-8))*g)\/g*g)\/g*g**(4\/3)) assuming g is positive.\nAnswer: g**(-284\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 3 + 0*y - 6*y**4 - 7*y**4 + 0 in the form v*y**4 + k*y**2 + i + x*y + q*y**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (9 - 5))\/(6 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8988331*m**2 + 4494255*m**2 + 4494015*m**2.\nAnswer: -61*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -85*j**3 - 6810*j**2 - 800*j = 0.\nAnswer: -80, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/45*(-84)\/(-56)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 2*t + 2*d - 4, 5*t - d + 8 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013378 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 + s**3)*(10*s - 10*s + s**2)*(-10 - 3 + 0).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 6*p - 12. Let y be o(5). Suppose y*g = 3*g + 20. Solve -2*s = -k + 7, -g*s + 5*k - 16 = k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25100926?\nAnswer: 2, 12550463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 128*g + 0*g)*(-g - 2*g + 2*g) to u + k*g + w*g**2 and give w.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 89*r**3 - r**2 + r - 1. Let w = -28 - -29. What is the tens digit of p(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**14\/(s*s**(-2\/35))*(s*s**(-22)\/s)\/(s*s\/(s*s\/(s*s*s*s**(-13))*s*s*s)) assuming s is positive.\nAnswer: s**(142\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**2\/2 - 2. Let c(h) = h + 2. Let b = -232 + 233. Let s(f) = -3*f - 4. Let t(d) = b*s(d) + 2*c(d). Determine t(w(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 3)*(3*z + 2*z - 4*z) - 1 + 1 - z)*(-256 - 15 - 96 + 42).\nAnswer: -650*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 + 74 = 0. Let v = f - 49. Let o = 47 + v. What is the remainder when 28 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1342 + -1318. Solve -7 = b + 5*x, p*b - 12 = 22*b + 3*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/13 + 654754*f\/13 - 100732 = 0.\nAnswer: -327379, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 h, and 1 c when four letters picked without replacement from {c: 1, t: 4, h: 3, f: 12}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 531, 1062, 1593, 2124, 2655, 3186?\n\"Answer: 531*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -214\/8873771?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1866, -1873, -1888, -1911, -1942?\n\"Answer: -4*a**2 + 5*a - 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -2, -0.10027, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w\/w**(-36))\/w)*w*(w**(-5\/18)*w)\/w assuming w is positive.\nAnswer: w**(-617\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v - 9\/20*v**5 + 0*v**3 + 0 - 13\/40*v**6 + 3*v**2 + 0*v**4. Find the third derivative of z(d) wrt d.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 1769, -1 in descending order.\nAnswer: 1769, -1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-18)*8*3\/2. Let y be (o\/11 - 122\/(-66)) + -1. Which is the nearest to -4? (a) -2\/13 (b) -2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3881 + -19407\/5. Which is the closest to k? (a) 1\/34 (b) -3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -84, -74, -64, -54, -44?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 3222651?\nAnswer: -3222652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 8. Solve r*p**3 - 20*p + 13*p**3 + 3*p**4 + 2*p**4 - 15 - p**3 + 10*p**2 = 0 for p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8626, 17266, 25916, 34582, 43270, 51986?\nAnswer: 60736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 709014864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3399175, -3399154, -3399119, -3399070, -3399007?\n\"Answer: 7*l**2 - 3399182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118.34 take away -109042?\nAnswer: 111160.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and 0.1334?\nAnswer: 19.8666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**6\/420 + u**5\/210 + u**2\/2 - 7*u. Let w(g) be the first derivative of f(g). Factor w(j).\nAnswer: -2*j**2*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76820000 rounded to the nearest one million?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17*1170\/(-3825))\/(((-9)\/5)\/3*1).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 38 - 53. Let w(c) = 3*c - 7*c + 3*c - 7. Calculate w(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 2037 + 2053 - 4071.\nAnswer: -q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcnfswn. Give prob of sequence nw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27694141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3489892344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-8) + -9*4\/(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67347300, -134694597, -202041892, -269389185, -336736476?\nAnswer: -404083765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23007 is divided by 173?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -4, 2, 21, -2 in decreasing order.\nAnswer: 77, 21, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10363 and 22413?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1615 + 1617. Which is the closest to 2? (a) 2\/17 (b) -4 (c) z (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 65*h + 877. Let k be z(-46). What is w in -16\/3*w - 10\/3 + 1\/6*w**4 - 1\/2*w**2 + 5\/3*w**k = 0?\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655840295?\nAnswer: 5, 531168059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-2*3 - sqrt(500))*-5 + -3 + -4*(sqrt(500) - (sqrt(500) - (sqrt(500)*1 + sqrt(500)))))**2.\nAnswer: -1620*sqrt(5) + 364509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 166451?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u - 24. Let c(h) = -3*h - 8. Let q(x) = 21*c(x) - 6*z(x). Let a be q(-9). Suppose a*n - 321 = -3*t, 39 = -2*n - 3*t + 248. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 3*v + 2. Let k = 11 + -7. Give r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245541.\nAnswer: 3, 81847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*110.2577.\nAnswer: 88.20616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 6*h + 39*h.\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*v**2 - 58*v**2 + 561567*v**3 - 561679*v**3.\nAnswer: -112*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9139, -9236, -9329, -9418, -9503?\nAnswer: -9584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57975 and 9?\nAnswer: 173925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = 8*a - 572. Suppose -10 - a = -18*w. Factor -98\/11*o**3 - 232\/11*o - 448\/11*o**w - 32\/11.\nAnswer: -2*(o + 4)*(7*o + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + s = 11, 15*i + 2*s - 16 = 13*i - 2*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59728 - 615191\/10. Suppose 10*j + 8935 = 5*j. Let v = o - j. Calculate the common denominator of v and 17\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 87*t + 55*t**2 - 1 - 42*t - 47*t in the form h + m*t**2 + g*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 165 = -22*v. Suppose -4*x + 3 = -21. Let k(d) = -d**3 + 5*d**2 + 8*d - 1. Let t be k(x). What is the greatest common divisor of t and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14)*o*o**(-23)\/o assuming o is positive.\nAnswer: o**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 + 2*i - 1. Let p(x) = 5*x**2 + 2*x - 1. Let k(t) = 3*n(t) - 4*p(t). Let d = -13 - -14. Let z be k(d). Sort z, 4, 2.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21203 (base 4) in base 16?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) - (sqrt(72)*-2)\/sqrt(6)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2648 - 2505 = 11*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-6))\/((45\/(-54))\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q. Suppose 261 - 265 = -2*l. Let k = l + q. Solve -k*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -49*r + 52*r - 2595*r**2 + 2651*r**2. Let j(k) = -2*k. Give p(j(m)).\nAnswer: 224*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*q + 12, -3*n + 3 = q + n. Let f(t) = -8*t**2 - 5*t. Let b = -320 - -326. Let r(i) = -7*i**2 - 4*i. Give b*r(u) + q*f(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/1*(-1)\/(-2). Find the common denominator of 2\/3 - 82\/(-84) and 236\/(-6)*1\/n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 12 - 2 = 0. Let s be 1 + -3*z + 2. What is the units digit of (-3)\/s - (-11)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56350607 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.94 + 3.92. Sort 3\/8, c, -1 in descending order.\nAnswer: 3\/8, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -51.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -145250 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567928?\nAnswer: 2, 70991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-12800)*(100\/(-25))\/((-2)\/4)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1525 + 2685. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 39 = -5*s - 121 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 0.6, 0.1, 0.05, -1\/5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:35 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6*l**4 - 44*l**3 + 86*l**2 - 36*l = 0.\nAnswer: -9, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*l + 32, -3504 = -4*l + 11*q - 3444 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 - 10. Let m be q(9). Is 6 + -4 + 2 - m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2174, 8699, 19564, 34763, 54290, 78139, 106304?\n\"Answer: -i**3 + 2176*i**2 + 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -420, -419?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 1, 2, 33.\nAnswer: 1, 2, 4, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112945727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -2*s + 3*c, -2*c = -4*s - c + 1786. Suppose 0 = -o + s - 120. What are the prime factors of o?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 + -236. Suppose -25 = x - s. Solve -4*g + 5 = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) -3 (c) 20 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 8*m**2 + 8*m - 4. Let q be k(-9). Let x be 2*4\/(q - 3). Solve 0 = 4*u + p + 17 + 2, -x*p = -4*u - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 2:26 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16100 and 12.5.\nAnswer: -201250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 5. Suppose 5*c + 39 = 5*q - 61, 0 = -3*q - 4*c + 67. Suppose 0 = 11*u - 8*u + q. Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + sqrt(208)*3 + (-3*sqrt(78))\/sqrt(6).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/15*2781\/1854\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 39*d**2 + 3778*d - 100. Let w be x(-84). Solve 0 = -w*k + 217 - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403 bigger than -403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 182*c**2 - 77*c - 77. Let k(x) = 14*x**2 - 6*x - 6. What is 6*i(h) - 77*k(h)?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 8*u = -0*u. Let l(a) be the third derivative of u - 2*a**2 + 0*a**4 + 0*a + 1\/60*a**5 + 7\/6*a**3. What is l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14772 and -9011330268.\nAnswer: -9011345040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2743 (base 8) in base 4?\nAnswer: -113203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -5 (c) 0.04 (d) 0.2 (e) -14 (f) -0.039\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 9*j**3 + 19*j**2\/2 - 2*j + 38. Find the second derivative of l(d) wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oftf when four letters picked without replacement from fvgffvfztfzvfgovfzzg.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 146\/4*(6 + 352\/(-60)) - 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.56 + 1384.56. Let p = d - 1369.833. Let j = -0.017 + p. Round j to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - 4*j)*(1 + 0 + 0) - 4 - 4 + 4 + j.\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 5, -1 = -2*w + 3*j. Let h(u) be the third derivative of 0 + 1\/24*u**4 - w*u**2 + 1\/30*u**5 + 0*u**3 + 0*u - 1\/40*u**6. Solve h(c) = 0 for c.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 5*a**4\/12 - 7*a**3\/2 - a**2\/2 + 39*a. List the prime factors of g(9).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -5, -2\/3, 2.86, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6575000*s. Let n be r(-4). What is n rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20415, -40619, -60823, -81027?\nAnswer: -101231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b - 1. Let u(d) = d - 3 + 4 + 0. Let c(i) = -i - 6. Let f be c(-5). Determine f*x(l) - u(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 + 6*y - 3. Let x = -7 - -11. Suppose x = w - 0*w. Let v be o(w). Let b(r) = -r + 6. Determine b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0*t**3 - 32*t + 2 + 0*t**2 - 49\/6*t**4. Let a(j) = -2*j**2. Give r(a(i)).\nAnswer: -392*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 357, 8, -1 in descending order.\nAnswer: 357, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 169 = -55. Let j(s) = s**2 + 15 - d + 5*s + 16. Does 5 divide j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -64. Solve -t = -j*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 171?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/50*(-165)\/(-3). What is the closest to -2\/3 in p, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.32 - 0.12. Is -2\/11 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 9*m + 151 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408) - (sqrt(1408) + -3*sqrt(1408)))\/(sqrt(11) - (-5*sqrt(1100) - sqrt(1100))).\nAnswer: 24*sqrt(2)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -60. Let g = l - 25. Which is greater: g or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 87996 = -w. List the prime factors of w.\nAnswer: 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:09 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10559 is divided by 5276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -38770 (base 9) to base 14\nAnswer: -9757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 209030*q - 5848920 = 0. What is q?\nAnswer: 28, 41778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 18 - 7*y**3 + 9.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 4*g**3\/15 + 18*g**2\/5 + 32*g\/5 + 1. Factor p(l).\nAnswer: 4*(l + 1)*(l + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0539? (a) 2\/3 (b) -1\/5 (c) -7 (d) -3 (e) -2\/15 (f) -174\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222078 greater than or equal to 222072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 10, -3, 4781.134?\nAnswer: 4781.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -135*o - 986. List the prime factors of c(-29).\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/39252 and -7\/345.\nAnswer: 4513980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81855271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.8 + 40.6. Let f be (-10)\/4 + 1\/(-2). What is the closest to 10 in r, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 19*i**3 + 47*i**2 - 99*i - 126 = 0.\nAnswer: -3, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:17 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 1349\/14. Calculate the common denominator of j and -25\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 121*d**2 + 33*d + 685. Calculate b(60).\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m - 3*m)*(9 - 9 + 2*m)*(m + 12 - 3*m - 3).\nAnswer: 8*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i = -400 + 366 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/(((o\/o**0*o)\/o*o)\/o)*(o**(1\/4)\/o)**(-39))**(-10\/7) assuming o is positive.\nAnswer: o**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33174 and 2394.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s = -113*s + y + 3, 4*s - 4 = -y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31290629 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 3*z**4 - 8*z**4 + 4*z**4 - z**4 - 2*z**4 + (0*z - 2*z + z)*(z**3 - 3*z**3 + 4*z**3).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s + 3\/2*s**4 + 4\/3*s**3 + 10 + 0*s**2. What is the third derivative of n(m) wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adin when four letters picked without replacement from {t: 4, i: 5, a: 1, b: 2, d: 2, n: 1}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 218609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 146, 449, 944, 1637, 2534, 3641, 4964?\n\"Answer: y**3 + 90*y**2 + 26*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 3, n: 3, d: 4, o: 2, i: 1}. What is prob of picking 1 i and 2 x?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.14 (b) -382\/27 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137\/22 + 207\/88. Let g be -2 + (5315\/(-56))\/(-5). Let z = -76\/7 + g. Calculate the common denominator of z and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 339*h + 7920 = 0.\nAnswer: 33, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 4*v**2 + 4. Suppose -4*y = 2 - 18. Let g be p(y). Suppose 4*o + 0*o - g = 0. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 + 2007*v\/8 - 23406.\nAnswer: 3*(v - 83)*(v + 752)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n. Let o(m) = m**2 - 1. Let f(z) = z**2 - 6*z - 6. Let j be f(7). Let l(k) = 7*k**2 - 5. Let b(g) = j*l(g) - 5*o(g). What is b(r(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*c = 456, -82 = 5*r - 5*c - 652. Let i = 139 + 32. Calculate the highest common divisor of r and i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 5 - 31 = 0. What is the third derivative of -7*h**3 + 12312*h + 30*h**3 - 12323*h + d*h**2 + 2*h**5 wrt h?\nAnswer: 120*h**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119 - -50876?\nAnswer: 5075b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 151 = -229. Calculate the remainder when b is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 45*c - 140. Let a be u(22). Suppose 51 = -9*w + a. Solve g + 0*n = -2*n + 15, 5*g = -2*n + w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-27) + 25\/315. Suppose 6 = -0*b + 2*b. Suppose -b*g - 1 + 4 = 0. Is g not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*q - b**2 + 7*b*q + 3*q + 149 wrt b.\nAnswer: -4*b*q - 2*b + 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 12. Let t be ((-8)\/12)\/((-26)\/j). Is 0.1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-12)*(-7 + 13). Suppose 5*i + 5*s = 1 + 14, 0 = 2*i - 4*s - 6. Solve -i*y - g = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/105*99\/2948)\/(3*-1)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35161953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -29.3. Let q = 3.8 + -4. Suppose -5*s = 3*y - 0*s - 22, 4*y + 19 = 3*s. What is the nearest to y in j, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {u: 9, w: 3, z: 1, n: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/3*12\/5. Let w be (-9)\/((-36)\/c) + -2371582. Let p = w + 1291586. What is p rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 18 - -7 - (1 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = 3*z - 31, 2*n = -z + 13. Suppose d - z = 5*l, l + l + 4*d = 20. Solve 5*k - 26 = -4*p, l*k + k + 4*p - 18 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/42)\/(3\/(-21)). Suppose 0 = -p*j - 30. Let c = j - -49. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (104 + -115 + 12 + (-2 - 3)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from syyysssyyyysysyyyy?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/6 - 6*q. Let x(w) = 14*w. What is j(x(o))?\nAnswer: -392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + -43. Suppose -3*i = -2*n + k, -3*n + 2*n + 4*i = -25. Let s = n - -36. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 23 = 4*y - y - 62, 11*y - 3*z + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12588 - -29666. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0 (b) -1\/4 (c) -1330273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.8092 + 0.01.\nAnswer: -37.7992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-6)\/m)\/m)\/(((m*m*m**3*m)\/m)\/m))**(-17)\/(((m**(-3)*m)\/m)\/m*m*(m**(-6)*m)\/m*(m**1)**(-17\/2)) assuming m is positive.\nAnswer: m**(443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkkkkkakpkpakkapk. Give prob of picking 1 a and 2 p.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.485625, 0.3, -1\/2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -89666.\nAnswer: 3\/89666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 105800172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - -1.8. What is the second smallest value in 0.5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l - 13*l - 18 - 12*l.\nAnswer: -7*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41713 (base 13) to base 9.\nAnswer: -188331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 0, 111, -8, 1 in increasing order.\nAnswer: -8, 0, 1, 2, 7, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3\/7, -341, 0, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**2 - 5. Let a(f) = -14*f**2 - 8. Let i be -5*5*((-332)\/100 + 3). Calculate i*o(j) - 5*a(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 + 0*l**3 + 1\/40*l**6 + 13*l + 1\/6*l**4 + 2*l**2 - 2\/15*l**5. Find s such that m(s) = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 6*t**2 - 5*t. Give r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 30 - 6*q**2 - 2*q**2 - 2*q**2 + 5*q**2 + (3 + 3 - 5)*(q**2 + 0*q**2 + 0*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38092 + 0.22.\nAnswer: -38091.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074393011.\nAnswer: 1074393011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 6. Calculate the remainder when k(9) is divided by 3 - (-9)\/(-27)*-15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21a + 0?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33794306*p**2 + 23*p**3 + 33794306*p**2.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(12\/(-80)*-2). List the prime factors of (108\/p)\/(1 - 62\/60).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 159389 = 5*b, 22*z - 20*z = 4. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6583, -6555, -6503, -6421, -6303, -6143, -5935, -5673?\nAnswer: -5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 44643*a\/2 + 44645.\nAnswer: -(a - 2)*(a + 44645)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ffccmfjciiiicciic.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*o + 24. Suppose -4*l + o = 4*k + 16, -5*l - 18 = 2*k. Sort l, 5, -1.9 in ascending order.\nAnswer: l, -1.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/9 + 920*v**2\/9 + 962*v\/3 - 5556 = 0.\nAnswer: -9, 6, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 130\/3 (c) -0.3 (d) 2\/7 (e) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 17*j**2 - 9 - 3*j**2 to the form d + n*j**2 + i*j and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8451?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18548983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 196*r**3 + 9*r + 9. Let u(m) = 98*m**3 + 4*m + 4. Determine 4*p(c) - 9*u(c).\nAnswer: -98*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 12\/(-40)*-28. What is the first derivative of -i + 14 - 25 - 22*d wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26120 + 26120 + a**2 - 510*a)*(0*a - 2*a + a) to b*a**2 + j*a + u*a**3 + t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -5 + 2 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 10*r**5\/11 - 756*r**4 - 14128*r**3 - 76512*r**2 - 121120*r - 408000\/11 = 0.\nAnswer: -10, -6, -2, -2\/5, 850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.41 (b) 0.033 (c) 37 (d) 4 (e) 2\/9 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*u + 37. Suppose 0 = -4*a - u + 150. Let f = 77 - 46. What is the highest common divisor of f and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -74 + 2. Suppose 2*y - 3*p = -18, 2*p = -4*y - 3*p - q. Let l(o) = -8*o - 13. Is l(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-24)*10\/(-200)*101 and -107\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*k**4 + 11824*k - 48619822 wrt k.\nAnswer: -312*k**3 + 11824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 - 4*l. Let z be p(3). Let s(i) = i - z*i + 4*i + 2. Let r be s(-1). Solve -21 = 4*t - r*w, -t = 4*t + 4*w + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 442667009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -174436 in 0.2, -1, 11, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -23*p. Let k(g) = -423*g - 2. Determine b(k(q)).\nAnswer: 9729*q + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491186 to the power of 1\/2, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826463?\nAnswer: 11, 75133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Let h(b) = -s*b + 5 - 5. Let t(d) = -d**2. Calculate h(t(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-30) - (-39)\/2. Suppose -h + j = 2. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242)\/(-855) - 4\/10 - 1002\/(-4509)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - 2.95. Let y = 78017 - 78015. Sort y, 0.015, r in increasing order.\nAnswer: r, 0.015, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-8)\/(-10)) + 76\/95. Let t = -6 - -11. Sort -3, 3, l, t in ascending order.\nAnswer: -3, l, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.368 and 4526.\nAnswer: -1665.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2*2\/14). Let i = -12 - m. Suppose 34*o = -o + 70. Sort o, i, 3 in ascending order.\nAnswer: i, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5888 - -5483. Which is bigger: n or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(-110)\/(-813450)*-10?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4727476743243 and 7?\nAnswer: 4727476743250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516613287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j**5\/11 + 8858*j**4\/11 + 9540*j**3 - 1196198*j**2\/11 + 2285296*j\/11 + 1030560\/11 = 0 for j.\nAnswer: -19, -3\/8, 4, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 29 + 10 = 0. Solve -2*r + r - 17 = -k*p, 4*r = p - 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 6*g - 3*g**4 + 8*g**2 - 5*g + 3*g + 2*g.\nAnswer: -3*g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003951 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -0.09 (b) 3 (c) -3 (d) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*y - 1203144*i**2 - 3*i*y - 1557336*y wrt i.\nAnswer: -6*y - 2406288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*j - 5*j. Let b be (2 - (2 - 0)) + (j - 1). Solve -3*a + b*a = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098563317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491189, -491190, -491191, -491192, -491193, -491194?\nAnswer: -491195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 3*j + 8. Suppose 4*t - 4 = -4*k, -13 = -5*t + 3*k - 6*k. Let v be l(t). Sort -3, v, -1 in ascending order.\nAnswer: -3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31584)\/(-78302))\/(((12\/14)\/(-2))\/((-48)\/(-32)))\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1998*c**2. Let u(a) = a**2. Determine u(w(y)).\nAnswer: 3992004*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687356559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = 3*l, 2*l - 1 = -2*n + n. Calculate the lowest common multiple of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350.21 decades in months?\nAnswer: 162025.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 382855 by 11.\nAnswer: 34805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2 - 2)*(-2*d**4 + 0*d**4 + 0*d**4) - 10*d**5 - d**4 + 61*d - 61*d.\nAnswer: -16*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2 + 8*h + 2 - 3*h. Let c(r) = -10*r. Let g(n) = -4*c(n) - 9*t(n). Let p(q) = -q**2. Give p(g(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (82\/21 + (-4 - 0))*-3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-553)\/316)\/(2\/72672). Let q be (-2)\/(12\/21 - (-36168)\/r). Is q less than or equal to -758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.478 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.08317?\nAnswer: 0.08317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95214 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11984387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 - 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(4) + -5 - sqrt(2)) + sqrt(162)*2)**2 + 2 - -5*(1*sqrt(8)\/sqrt(4) + sqrt(6)\/(sqrt(12)\/sqrt(4))).\nAnswer: -170*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/13*(-6)\/4 - -35. Let l(v) = v - 57 + v + x + 17. Let g(q) = -2*q. Let f be g(2). Determine l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-8))\/(1\/4). Let f = b + 22. Let i = f - 19. Calculate the smallest common multiple of 5 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1245 and 63.\nAnswer: 26145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3.8, 0.1, -1\/13, 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19.87+-531325361\nAnswer: -531325341.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/8, -1.6, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.02. Let a = 0.08 + x. Put 3, 0, a in decreasing order.\nAnswer: 3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v. Let d(b) = b - 1. Let y(z) = -5*d(z) + n(z). What is the remainder when 18 is divided by y(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**(9\/10)*t**(-7\/6)\/t**11 assuming t is positive.\nAnswer: t**(-178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, -301, 1, -6, -31 in decreasing order.\nAnswer: 170, 1, -6, -31, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -475.21714 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/439, -9, 33, -2\/15.\nAnswer: -9, -2\/15, 6\/439, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(7 - -7)*-12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4581995 is divided by 200?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 11*o + 12. Let d be r(-7). Let t = d + 30. Suppose -12*w - 40 = -t*w. Calculate the remainder when 59 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - 3*sqrt(95))*-5 - (-6*(sqrt(95) + sqrt(95)*3) - sqrt(95)))\/((sqrt(5) - (sqrt(110)\/sqrt(2) - sqrt(55))\/sqrt(11)) + sqrt(180)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46531494.\nAnswer: 2, 3, 19, 136057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -825, -1643, -2463, -3285, -4109, -4935?\nAnswer: -5763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88445 is divided by 905.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 8*f - 10. Let l be r(5). What is the tens digit of (-76*l\/(-30))\/(4\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*l + 169*l - 667*l + 167*l + 106*l**2 + 165*l in the form t + s*l + o*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7060 + -4445. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102581 take away 17.295787?\nAnswer: -17.193206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -20 + 4. Let n(p) = p**2 + 16*p + 6. What is the remainder when 18 is divided by n(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = -32*p + 50 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/120 - j**5\/60 - 11*j**3\/6 + 10*j**2. Determine c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1192990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17314 + 9*v**2 - 8*v**2 - 17314.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2\/7, 2\/17, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*24\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*k - 40*k**2 - 17 - 22*k + 41*k**2.\nAnswer: k**2 - 153*k - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1251, -1251, -1253, -1257, -1263?\n\"Answer: -f**2 + 3*f - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -155\/6*b**3 + 0 + 41\/24*b**4 + 25*b**2 - 3*b. Differentiate v(o) with respect to o.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00894 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a78 (base 12) in base 14?\nAnswer: 1b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-195)*(-12 + 0)*1870\/(-748).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2574*r**3 + 3683*r**3 + 6040*r**3 + (2*r**2 - 4*r**2 + 0*r**2)*(1 - 1 + 2*r) to b*r**3 + s + f*r + h*r**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -601791*x**4 - 150321.\nAnswer: -2407164*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.909494 millennia?\nAnswer: 790.9494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9128021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*d = -28, -5*q - 13*d + 16*d + 13 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.779 and -3.\nAnswer: -26.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14*z*z)**18 assuming z is positive.\nAnswer: z**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*q + 6 = -a, 5*q = 3*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 10:24 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 37. Let l be (-6)\/12 + x\/(-2). Let b = l + 23. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-1 + sqrt(171) - sqrt(171))\/sqrt(9)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -119095 divided by -23819?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 73, 152, 251, 364, 485, 608, 727?\n\"Answer: -t**3 + 19*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/60 - h**5\/2 - 11*h**4\/3 - 3*h**2 - 41. Suppose q(o) = 0. What is o?\nAnswer: -11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44\/123 - -12161\/2706. Find the common denominator of (-120)\/(-144)*66\/100 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1106679892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -7.0042115?\nAnswer: -7.3042115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1864 - 1188 = -218*s. Let m = 73 + -13. Calculate the remainder when m is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -68694\/13 + 618259\/117. Let r(z) = z**2 + 5*z - 4. Let u be r(-6). Let t(o) = o - 2. Let s be t(u). Is i at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-45)\/18*28\/(-5) and 68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*b = 150, 4*b + 47 = 3*t - 35. Let i be 1785\/t + ((-5)\/2 - -2). Suppose -a + 2*s + 6 = 0, -7*a + 2*a + i = s. Solve n - 3*n = a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5584*l + 5582*l + 18*c + 24 = 0, 2*c - 54 = 4*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 19. Let a = h + -8. Is a > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1148*a**3 - 112. Let m(l) = -31*l**3 + 3. What is -112*m(p) - 3*z(p)?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*2)\/((-8)\/(-24)). Let u = -3 + x. Solve u + 1 = -4*m, -5*n - 10 = -5*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxg when three letters picked without replacement from {g: 3, u: 5, x: 1, w: 5, h: 5}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + a = 226, j - a - 22 = 22. Calculate the smallest common multiple of 18 and 801\/6 - j\/(-18).\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42735 divided by -259.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 3. Let z(d) be the first derivative of d**2\/2 - 2*d + 12. Let h(n) = 3*p(n) + 2*z(n). Determine h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*((-d**2 - 3*d**2 + 0*d**2)*(d - 3*d - d) + (d**2 - d + d)*(-d + 2*d + 0*d)).\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0 + 12. Let z be w - (2 + (-26 - -2)). Let j = 43 - z. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 21*a + 4. Let v be d(21). Suppose 3*j + 12 = 2*x, -5*j = 6*x - 5*x + 20. Sort -1, j, v in decreasing order.\nAnswer: v, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p + 2. Determine d(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -5*f**4\/4 + 7*f**3\/6 + 2*f**2 + 17*f. Let d be j(-7). Is 10 a factor of (-1)\/3 - (d\/18 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*w + 4*w + 12, 8 = 5*k + 3*w. Suppose 2*m = k*m - 94. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 24366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*z - n, 5*z + 65 = -4*n - 53. Let y = z - -38. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704578 is divided by 6131?\nAnswer: 5644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1151, 2043, 2935, 3827, 4719?\n\"Answer: 892*x + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = 5*b, -6*k + 4*b = -2*k - 20. Suppose m - p + k*p = -5, 23 = m - 5*p. Suppose -2*r + 470 = m*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*x - 18106, -2*x = 2*c - 0*x - 7244. Suppose -7*j + 358 = -c. Is j a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4. Let v(x) = -x**3 + 7. Suppose 16 - 11 = u. Suppose -h - 4*k = 9, 4*h + u*k - 24 = 4*k. What is h*p(d) + 4*v(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 equal to 397945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:35 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1262.8792 + -1262. Let z = -0.88 + a. What is z rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*o*u**2 + 2*c*o**2 + c*o*u**3 - o**2*u + 34*o*u**3 + 4*o*u wrt c.\nAnswer: -4*c*o*u**2 + 2*o**2 + o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:45 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -15*j + 56. What is the tens digit of (-6)\/(-2) - (-371 + j + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0.7 (b) 3 (c) 5585 (d) -2\/5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00297289 to 5 decimal places.\nAnswer: 0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2.23.\nAnswer: -2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 46 = -5*u, 2*u + 2*u - 44 = 5*z. Suppose 0 = 2*w - 12 + u. Suppose -8550 = w*p - 8*p. What is p rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1118717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -35. Suppose 131 = -l*p + 5*p. What are the prime factors of p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/62709413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 8*h**2 + 2*h + 2. Let x(f) = -f - 1. Suppose -q = 3*q - 4. Let a(r) = q*k(r) + 2*x(r). What is the third derivative of a(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1842343288 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174, 370, 568, 768?\n\"Answer: i**2 + 193*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105777671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*a = -196*a + 60 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiziiiiiiii. What is prob of sequence zzi?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 2, p: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-7 - (-5 - 2)). Find the second derivative of -2*n - 14 + 83*n**2 + 12 - 67*n - 22*n**l wrt n.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160473.\nAnswer: 1160473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 49. Suppose -m = 4, 8*o - m = 3*o + d. Suppose -b + w + o = -21, 0 = 2*b - 4*w - 56. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 + 8*r + 23. Let o(t) = -3*t**2 + 4*t + 1. Let g be o(2). Let s(w) = w**2 - 3*w - 8. Let c(i) = g*a(i) - 8*s(i). Differentiate c(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 6 (b) -1 (c) -1\/3 (d) -58 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4320993 divided by 1440331.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 8*w**2 + 42*w - 171. What is i(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 458\/713 at least as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -29. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8307?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/55 - 136\/(-1496))*50.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 44*f**2 - 195*f - 65. Calculate c(39).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 607 and -64.3.\nAnswer: -39030.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -68 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 + 4*q + 2. Let u be b(1). Is 45\/4 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35938, 71865, 107794, 143725, 179658, 215593, 251530?\nAnswer: 287469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/((j**(-16\/3)*j)\/j*j))))*j*j**(2\/81)*j)\/(j\/(j*j*(j**(3\/16)\/j)\/j)*j)**(-5\/4) assuming j is positive.\nAnswer: j**(-223\/5184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiitiiuitrtti?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 2*x - 7*x in the form j*x + o and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11534*w**4 - 10*w**3 + 21*w + 1163 wrt w.\nAnswer: -138408*w**2 - 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + 24. Let g be (-33)\/15 + 2\/10. Let d be 21\/3 + (1 - g). Calculate the greatest common divisor of d and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6 - 13 + 6 - 7*j**3. Let o be h(-2). Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7757862l in millilitres?\nAnswer: 775.7862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 22*y = -6*y + 5*f - 4, 2*y + 3*f - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j*q**3*z - 2*j*q**2*z - 4*j*q - 119*j*z**3 + 4868*j*z**2 - 2*j*z - 980624*q**3*z**3 - 45*q**3*z - 2*q**2*z**3 wrt q.\nAnswer: -6*j*z - 5883744*z**3 - 270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-32))\/(18 - 207408\/11520).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(13))**2 - (sqrt(13) + -1)*1.\nAnswer: -sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*r + 3*b - 93, -3*b + 65 = -2*r. Let t be 4\/10 + 146\/10. Let o = t - r. What is o rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/4, 1069, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 16. Let f be t(20). Suppose k = f*r - 86, 0 = 7*r - 2*r + 2*k - 101. Calculate the remainder when 62 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 19 + 0*w - 14. Let u be o(8). What is the second smallest value in u, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*k**2*q**3 - 2*k**2*q**2 + 4*k*q**4 - 131*k wrt q.\nAnswer: -216*k**2 + 96*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddnbrbr. What is prob of picking 1 b, 1 d, and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18424.0179 rounded to 0 decimal places?\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a minute in seconds?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6479, -3 in decreasing order.\nAnswer: 6479, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 6*q**2\/7 - 3614*q\/3 + 75408\/7 = 0.\nAnswer: 9, 12568\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 10, 2\/11, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3349 - 3293. Solve -29*j - 201 = -n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + -1 + (-4)\/(-2) - -199?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 19*i - 8. Calculate z(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 2 + sqrt(539))**2 + -3 - ((sqrt(352)\/sqrt(8))\/sqrt(4))**2*4.\nAnswer: 56*sqrt(11) + 2113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -36, -34, -32, -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 66*v - 55*v. Solve 5*c - 3*m = 21, 3*c = -m + 2*m + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-9)\/24*-4. Let p(x) be the first derivative of 1\/8*x**2 - 1\/3*x**j + 1 - 1\/5*x**5 + 0*x + 1\/24*x**6 + 3\/8*x**4. Factor p(d).\nAnswer: d*(d - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v + 0 + 14*v**2 + 1\/30*v**5. Let p(m) = -6 - 18*m + 6. What is j(p(z))?\nAnswer: 648*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 946 and -0.2.\nAnswer: -189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 180, -1, 1\/81?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/23 or -20?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + 2*c + 1. Let b(f) = 2*f**2 - 19*f - 13. Let d be b(10). Let o be (2\/d)\/((-8)\/(-12)). Let r be (5 - o) + 52\/(-13). Give n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5984 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 39*z - 78. Calculate the smallest common multiple of c(2) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -4*s + 0*s**2 + 3*s**2 + 0 - 2. Is 20 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 65928.\nAnswer: 1977840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 4*r + 91, 3*b - 237 = 3*r. Let c = b + -50. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, 4, 0, -3, -4 in decreasing order.\nAnswer: 52, 4, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/15 + 2*j**4\/3 + 2*j**3 + 37*j**2 + j. Find f such that q(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(0*s**5 + 3*s**5 - 4*s**5) - 7*s**5 - 75*s**4 - 3*s**5 + 80*s**4.\nAnswer: -8*s**5 + 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 68. Let j be 2\/10 - 54\/(-30). Solve -i*z + s + j*s = 4, -4*z - 5*s - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 571, -11 in increasing order.\nAnswer: -11, -5, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 29*n - 48 = 3*d, 0 = -12*n + 2*d + 88 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 - -753. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 - (-9 - -3). Let j be (2 + -46)\/(-2)*1. Let l(f) = 2*f - 7. Let k be l(6). Solve z = -u*p - 3*z + j, -k*p + z + 7 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*d = -3*d - 44, 0 = -2*d. Let l = -17 - -19. Suppose 3*j = 4*f - l*f - 32, 0 = f + 4*j - 38. Calculate the smallest common multiple of f and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15825, -15803, -15773, -15729, -15665, -15575, -15453?\n\"Answer: q**3 - 2*q**2 + 21*q - 15845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/9 - 2\/3*u**2 + 62\/9*u.\nAnswer: -2*(u - 1)*(3*u - 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 9*t + 7. Let r be f(-6). Suppose 56*i = r*i + 60. Let q(x) = x**3 + 12*x**2 - 2*x + 17. Does 8 divide q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*u = 1134, -646*u + 644*u = -3*h + 1094. What is the remainder when 2236 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4804.876 and 1.\nAnswer: 4804.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 324848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082 greater than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - r**5 + 3*r**5 + (r - 4*r + 0*r)*(r**4 - 3 + 3) + (3*r**4 + 0*r**4 + 0*r**4)*(0 - 3*r + 0).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.011 + 0.411. Let t = -4 + 3.7. Let z = t - -0.8. What is the third biggest value in -4, u, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-174)\/(-4))\/(6\/(-2)))\/(350\/700)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*g - 2*x, 2*g = 3*g - 4*x + 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 453?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*r - 4 = 170*r + 4*g, 0 = -2*r + 4*g + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a + 256. What is i(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 5*z**4 + 0*z**4 - 2*z**3 + (4*z**3 - 4*z**3 - 2*z**3)*(0*z - 3*z + z) - 2*z**4 - 3*z + 3*z + (-3*z + 2*z**2 + 3*z)*(2*z**2 + 0 + 0).\nAnswer: 7*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/4 - 57*z**4\/4 + 157*z**3\/2 - 201*z**2\/2 - 315*z\/4 + 459\/4 = 0.\nAnswer: -1, 1, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 0. Let p(d) = 2*d**2 + l*d**2 - 3*d + 0*d**2. Let i be (-10)\/(-4) - 1\/(-2). Determine p(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 4) + (-20)\/70 + 30\/7)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-6) + 4\/12 - -1. Suppose u*w - 440 = 3*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*i**3*v - 23*d*i**3 - d*i**2*v + 2*i**3*v - i**2*v + 58 with respect to d.\nAnswer: 4*d*i**3*v - 23*i**3 - i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, 2, -45 in decreasing order.\nAnswer: 3, 2, -1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p + 3. Suppose 0 = 67*x - 160 - 175. Let d(u) = -10*u - 4. What is x*d(a) + 6*n(a)?\nAnswer: 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 = 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - -5?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 10*x - 3. Let a be p(8). Let c = 15 - a. Calculate the highest common divisor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8715 - -325?\nAnswer: 9040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)\/((-231)\/22 - -8). Sort u, -0.044, 2\/3, 0.2 in decreasing order.\nAnswer: 2\/3, u, 0.2, -0.044","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 + 399\/2. Put j, -0.4, 2\/7 in decreasing order.\nAnswer: j, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8302 + 28*p**4 + p - 4152 - 4151 to the form j*p**4 + z*p**3 + u + d*p + y*p**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -420290 divided by -3?\nAnswer: 420290\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190266 divided by -63422.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6594 + -3796. Is w a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32742 - -8144. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 139, 127, 101, 55, -17, -121, -263?\n\"Answer: -p**3 - p**2 - 2*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5142173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose m*f = 2*h + 42, 3*h - 4 = -3*f + 50. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 394059 = -17*j. List the prime factors of j.\nAnswer: 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 65*m - 136*m + 17*m + 4*m - 6*m + (0 + 4 - 3)*(3 - 3 + m) + m - 4 + 4.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*r - 18289 - 42706, 2*r + k - 24399 = 0. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -29480664.\nAnswer: 5306519.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 - -262 - (-27)\/((-3348)\/2360)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 258, 545, 864, 1227, 1646, 2133, 2700?\n\"Answer: 2*s**3 + 4*s**2 + 261*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 5. Let f be l(-6). Let g be -1*1319997 - (2 - f). What is g rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223379 - 34.03351\nAnswer: 223344.96649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 587, 1430, 2765, 4682, 7271, 10622?\nAnswer: 14825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 73*r**2 + 201*r - 647. Determine b(-70).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s**4 - 3052*s**3 + 10044*s**2 - 8528*s + 1552 = 0.\nAnswer: -194, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3))\/f)\/f**(-1\/20)*f**(-3)\/(f*f**(-3)*f))**15 assuming f is positive.\nAnswer: f**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*p**2 + 70*h*p*x + 35*h*p - 8*h - 490*p**2*x + 23*p**2 + 66*x**2 + 80 with respect to x.\nAnswer: 70*h*p - 490*p**2 + 132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = 4*q, u - 5*u - 2*q + 2 = 0. Suppose -6 = -2*v, u = -3*k - 2*k - v + 353. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2077952.857 and -109023.\nAnswer: -2186975.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114793 by -1.\nAnswer: -114793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-2) - (-16170)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.1 - 53.2. Which is the nearest to i? (a) 0.1 (b) -2 (c) 255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -3, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.984 - 0.016. Let m = h - -4.9999919. What is m rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*v**4 + 3192*v**3 - 6451084*v**2?\nAnswer: -384*v + 19152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17098, -22128, -15090, 4016, 35190, 78432, 133742?\n\"Answer: 6034*o**2 - 23132*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2\/3. Let x = -3846 - -3845.6. Which is the nearest to 0? (a) 3 (b) x (c) f (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 194. List the prime factors of v.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 3*l**2 + 13*l - 14. What is the remainder when 306 is divided by u(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 12 = 2*g - 18, -2*g = 4*w - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**3 + m**2 - 1. Let j be o(1). List the prime factors of (1 + j)*18\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, a: 2, v: 3, j: 1, h: 3}. Give prob of picking 1 a and 2 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2811674 or -2811672?\nAnswer: -2811674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r. Let l(a) = -10*a - 1. Let q(u) = 2*l(u) + 7*v(u). What is q(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from ysmymymymysmssymmy.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 - -183?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)\/(d*d\/(d**(-2\/23)*d)))**(-7))**(-3\/2) assuming d is positive.\nAnswer: d**(-5355\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235\/4 + -59. Which is the second biggest value? (a) -4 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6584 = 4*t + 3*d, 3660 = -5*t - 2*d + 11897. Let w = -970 + t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/63*-18 - (-3)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -380, -761, -1154, -1565, -2000, -2465, -2966, -3509?\n\"Answer: -m**3 - 374*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in -1, -1\/2, -5, -1\/5, 15\/2, -0.34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 249\/9 - (-4)\/12. What is the tens digit of (r - 0)*(-4 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66 + -11?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4153308 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -1005, -8, 7 in ascending order.\nAnswer: -1005, -44, -8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196323*p**2 - 339698?\nAnswer: -392646*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 1. Let z(o) = 3*o**2 - 4*o - 4. Suppose -u - 4 = 5*g, -u - g = -3 + 7. What is u*i(v) - z(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -2\/15 (c) 1311 (d) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 210*m**3 - 2*m + 1. What is the hundreds digit of n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*x = 5, 11*w - 5*x = 10*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.6 + -52.1. What is the smallest value in -1\/3, -1\/5, 0, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 10*d + 7*d)*(-96 + 487*d - 69 + 164)*(0*d - 3*d + 4*d) to x + l*d**2 + i*d**3 + j*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5020434 + -12?\nAnswer: 5020422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 76\/3?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10259?\nAnswer: 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*j - 28 + 34 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 10. Let x be r(-14). Suppose -6*m = -x*m. Suppose 3*p + 11 = -1, m = -2*f + p + 124. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**5\/20 - u**4\/4 - u**2. Let p = 2 - 0. Suppose -6 - 8 = p*z. Let q(j) = 2*j**2 - 4*j. Give z*q(o) + 5*y(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 24*h - 17*h. What is the smallest value in h, 0.054, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/((i**(-10)\/i)\/i))*i*i)*(i\/(i*(i**(-11)*i)\/i*i*i))\/i)\/((i*i\/((i**(-1)\/i)\/i))\/(i*i**(4\/3))))**(1\/15) assuming i is positive.\nAnswer: i**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 6*u + 370*u**3 - 278*u**3 - 90*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = j + j, -2*a + 2 = -j. Let r = 4 - 3. Solve 3*d - 4*l - 7 = r, a*l = -3*d - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -16*m**5 + 20*m**4 + 44*m**3 - 28*m**2 - 28*m + 8 = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 283 = -11. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eebebbe?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 477633525 rounded to the nearest one million?\nAnswer: 478000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12789 and 13412819?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617 = 66*z - 693 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.1 (c) 366\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 2*h = -198. Suppose 0 = h*t + 291 + 6650. Let p = -432 - t. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c, -2*s = 5*c - 4. Suppose -2*t + s = -0. Let w(h) = -h**3 + h**2 - 2*h + 1. Let z be w(t). Let y(q) = -5*q**3 + q**2 + q + 1. Determine y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195*t**5 - 434*t wrt t.\nAnswer: -3900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, 1910, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**5\/30 - f**4\/9 + f**3\/9 + 5*f - 5. Let y(g) be the first derivative of a(g). Find q such that y(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484066, -483512, -482958?\nAnswer: -482404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Let m be ((-396)\/g)\/(6\/4). Let w be m\/(-15) + (-6)\/15. Solve w*r - 9 = -3*b + 11, -2*r - 3*b + 16 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*a, 2*l - 2*a + 3 = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 612590221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i)\/i**(1\/8))\/(i*i**(-1\/3))**12 assuming i is positive.\nAnswer: i**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) -55787 (c) -0.0256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 978061 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 58255, 233076, 524445, 932362, 1456827, 2097840?\n\"Answer: 58274*h**2 - h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10121012001 (base 3) to base 4.\nAnswer: 101103001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:11 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11479599 - -510.\nAnswer: -11479089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 - 4*h**2 - 22*h - 4. Let q(s) = -s**3 - 3*s - 1. Let l(p) = n(p) - 4*q(p). What is l(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21218 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106496468?\nAnswer: 2, 13, 29, 70621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-1 + 3))\/(-3). Let q = -8 - -11. Let x(u) = -q + 0 + 0*u - u + 0*u. What is x(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/525 and 22\/119805?\nAnswer: 599025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 3 (c) -91 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3405 divided by 3\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35416.57 decades?\nAnswer: 4249988.4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 60823589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*q - 1232. Suppose 3*v = 1624 - 187. Let i = v - q. Round i to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 56 = 4*w, 4*b + 2*w - 127 = -w. Suppose -16*p + b*p - 301122 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 1:23 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*t + 29 = 0, -15 = -2*g + g - 4*t. Let o = g - -1. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 15*j + 6. Suppose 0 = q + j*q. Suppose -m + 2*m - 697 = q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 115 = 4*a + n + 137, -3*a - 252 = -a + 6*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16403113 (base 7) to base 2\nAnswer: -110000110000100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -64. Suppose -6*f + 74 = r. Suppose 0 = f*d - 0*d - 18. Solve 20 = d*t - 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5050558*-124\nAnswer: -626269192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24)\/((44\/156)\/11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -10399, -3, 23.\nAnswer: -10399, -5, -3, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398723888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -7*l - 5392191. Let n = 1170313 + l. What is n rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -32*b**3 + 3*b**2 + b**2 + 31*b**3 - 2*b**2 + 3. Let r be f(2). Solve -w = w - r*x - 12, -5*w + 4 = -x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310999?\nAnswer: 13, 47, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 2*l + 191.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (53\/30 - 2) + 15 + -13. Let q = -41\/10 + r. Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-63)*((-14)\/(-17))\/(-2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 + 6\/11*w**4 + 2*w**2 - 2\/11*w - 4\/11 = 0. Calculate w.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by -1 + 24\/30 + (-92)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*b - h, 3*b + 2*h = 2. Suppose 33*m - 313 - 631 = -85*m. Solve b = -2*c - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g + 7*g**2 - 45*g + 89*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u + 15. What are the prime factors of i(33)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19999 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 30431387\nAnswer: -6\/30431387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/153 and 20\/2533.\nAnswer: 22797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -228*o - 14599. Calculate c(-64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 q, and 1 u when four letters picked without replacement from {c: 4, n: 6, q: 1, u: 2, f: 4}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-7)\/4 - 4. Which is the second smallest value? (a) -2\/11 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 <= 402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 44.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.4. Let a = n + 0.8. Let o = -1.2 - -1.4. What is the closest to -0.1 in a, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*15\/12*-2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/210*5 + -1. Which is the fourth smallest value? (a) v (b) 0 (c) -0.2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396062509*x**3 + 2*x**2 - 2462*x - 1674.\nAnswer: -2376375054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19575*x + 12939072. What is z(661)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 15 (b) -1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 178862166 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 39 + -8 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:21 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-14)*(-22)\/110?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 78 = -4*i. Suppose -t - 3*t + 34 = -k, -2*t + 5*k = -i. Suppose v = t + 14. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/129 - -139\/1290. Let k(q) be the first derivative of 1\/15*q**3 + r*q**2 + 0*q - 2. Determine c, given that k(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4839529559.\nAnswer: 4839529559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1038 and 7\/519.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 2*s**2 - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 235385 (base 9) to base 6\nAnswer: 3012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n - 3*n)*(-5 + 1 + 5) - 6*n + 12*n + 7*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 117 + 27*a - 8*a - 11*a - 12*a. Is n(18) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*f = -l, 4*l = -5*f + 33. Suppose 78 = l*m + 98. Let p be 72\/(-36)*(12\/m - -1). What is the third biggest value in p, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let h(p) = 10*p**2 - p. Give h(o(q)).\nAnswer: 40*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 6.68 (b) -5 (c) 449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.5 + 16.8. Let o = -9 - q. Let s = 73\/30 + -11\/6. Put s, o, -0.1 in descending order.\nAnswer: s, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-44)\/(i**(2\/3)\/i**1)*(i*i**1)**(-2\/39)*i**(-2\/21)\/(i\/i**(1\/4)) assuming i is positive.\nAnswer: i**(47377\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c**2*d**2*q - 5*c**2*d**2 + 42*c**2*d*q - 2*c*d**2 + 2*c*q + 60*d**2 + 10*d*q wrt c?\nAnswer: -22*d**2*q - 10*d**2 + 84*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4526760.\nAnswer: 2, 3, 5, 7, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5.762 + -0.1\nAnswer: 5.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 20261853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 343037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95090 and 1510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -42. Suppose x - f = -4*x. What is the first derivative of -4 - 6*j**4 + 2 - x - 2*j**4 wrt j?\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 - 1 - 2*s + 4*s + 0 + 5 to n + p*s**2 + u*s and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-21)*(-34)\/(-204)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102851 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 132, 154?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -1\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175305 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -713173 divided by -732\nAnswer: 713173\/732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 40174678.\nAnswer: 281222746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 140*n**2 + 17 + 129*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416067.1 hours in microseconds?\nAnswer: 1497841560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -10*l + 102819871. Let a = l + 902742. Suppose -5*w - 5*i = -0*i + 10249995, 5*w + a = 3*i. What is w rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-22) - 1724\/(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18502 is divided by 17367?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:58 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 1260\/48 - 10\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20244, -20253, -20262, -20271, -20280, -20289?\nAnswer: -20298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*h + 27 = 0, 217 = 5*j - 4*h + 40. Suppose y + j = 41. Factor -7*l**2 - 32*l**3 + y*l + 2*l**3 + 2*l**3 - 16*l**4 - l**2.\nAnswer: -4*l*(l + 1)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m**2 - 223*m + 3 - 20*m**2 + 3938*m - 2 - 16*m**2.\nAnswer: 2*m**2 + 3715*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a33 (base 11) to base 8.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13\/(-2))\/(31\/(-4774))?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 3 - (5 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.74, 2\/11, -3\/2, -507 in decreasing order.\nAnswer: 0.74, 2\/11, -3\/2, -507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3355*w - 9285*w - 5802*w. Let a(m) = -2*m**2. Calculate i(a(n)).\nAnswer: 23464*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/12)\/((-735)\/2352). Let o be -1 + 9\/7 - 0. Which is bigger: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1276345 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5765, -12408, -19065, -25742, -32445?\n\"Answer: -p**3 - p**2 - 6633*p + 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 - (-7)\/(-5). Let a(h) = 2*h**2 - h. Let f be a(z). Suppose f*u = -u. Solve -4*r - 21 = -5*q, q + 5*r + 19 = -u*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174 or 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*a - 2 = 0, h + 2*a + 2*a = 0. What is the least common multiple of h and 150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*g*h**2 - 3*g*h + 2*g - 5*h**2 + 2*h + 502 wrt g.\nAnswer: 49*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**0*a)))**(-17\/2)*(a**(-1\/2))**(-1\/20) assuming a is positive.\nAnswer: a**(-679\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:13 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774401229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/130)\/((-95)\/(-190)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 964*654.\nAnswer: 630456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/9, -13, -4, -4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(756\/(-334)) - ((-54)\/(-28) - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 147 + 212. Let f(z) = 2*z**2 - 13*z + 27. What is the hundreds digit of f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0 = -13*y + 11*y - 8, 2*y = 3*b + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2091 + 22207 + 3396 + 5444 - 2257)*(-4*z + z + z) as j*z + s and give j.\nAnswer: -61762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281258 divided by -1?\nAnswer: 2281258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3 + 652\/(-216)). Let d(p) = -3*p - 3. Let r be d(-2). Suppose -t = r*y - 6*y. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) -0.6 (b) -3\/83 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u - 27. Let h be k(-4). Do h and -56 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 2)*4.\nAnswer: 8 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 69*r**3 + 6*r**2 + 696548 - 696551 + r to d*r**2 + t*r**3 + y + m*r and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2529 divide 240070383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 9. Let s be q(-5). Let c(t) = 6*t - 5. Suppose -5*r = -4*n - 20, 16 = r + 3*r + 2*n. Let h be c(r). Solve s*l = -h - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 5*a + 9*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-989*j + 171*j**2 + 989*j)*(2*j**2 - j**2 + j**2 + (j + 0 + 0)*(2*j + 2*j - 2*j) - j - j**2 + j + j**2 - j**2 + j**2).\nAnswer: 684*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13502*h - 16 = -13504*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341371, 2730917, 9216821, 21847261, 42670415, 73734461, 117087577?\nAnswer: 174777941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189 = -2*b + a + 1185, 2*a + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17544 (base 9) in base 2?\nAnswer: -10111101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 4*r + 2*r)*(30 - 43 - 62)*(1 - 4 - 3)*(-1 + 3 - 1) as f*r + v and give f.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2*g**3\/3 + 69*g**2\/2 + 3*g - 9. Let o be p(19). Put -5, o, -2, 4 in ascending order.\nAnswer: o, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z + 16. Let q be ((-1)\/2)\/(1\/z). Let v be 29*(1 - (q - -13)). What is v rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 179, 319, 587, 1025, 1675?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 15*w + 2. Let h be u(15). Suppose 0 = -4*p + n + 91, 3*n - 1 = h. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5917 and 1464?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 256, 556, 892, 1264, 1672, 2116?\n\"Answer: 18*b**2 + 246*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487 - -282. Let m be 3\/2 + v\/(-10). Let o be (-96)\/(-44) + (-4)\/m. Solve -3 - 3 = o*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (330\/33)\/(-20)*(-2356)\/(-19)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkzrlrkflrkzkzf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 1 - 1 - 40*a**2 + 3*a**3 + 40*a**2 + (0 + 0 - 2*a**3)*(0 + 0 + 3) + 2*a**3 + 10*a - 10*a + a**3 + 0*a - 3*a**3 - 2*a.\nAnswer: -a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177198 = -17*c + 544924 - 30494. Calculate the greatest common divisor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*f + 407*f - 33417 - 811 = -106*f for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*y + 136, 3*r + r + 152 = 5*y. Find the second derivative of y*k**3 + 29*k**2 + 28*k - 29*k**2 wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340472 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:49 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/89 or -1?\nAnswer: 14\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 4*(1 + 1 + sqrt(288))**2 - (1 + (sqrt(288) + (-1 + sqrt(288))*-1)*6)).\nAnswer: -2324 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 6 - 34 = 0. Solve -q - 5*f = 17, -k*q + 4*f + 19 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + 1. Suppose 4*w = -5*f + 53, -4*w + f + r = -0*f. Let k = 26119 + -26116. Solve -k*i + w = -h, -3*i + 8*i = 5*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 7?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -56. Let y = 4.689 + -9.689. Which is the third smallest value? (a) 3\/5 (b) 0 (c) t (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -415*r + 414*r. Suppose -106 = 4*s + 18. Put r, s, -5 in descending order.\nAnswer: r, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65782 - 41943. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 16*p = -20, -4*w = 5*p - 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let w(p) = 522348*p. What is w(m(l))?\nAnswer: 522348*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -161\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdggkgvvkkdvkuvv. Give prob of picking 3 g and 1 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 739\/36 - 196\/9. Let c = 3.7 + -4. What is the second biggest value in -1, c, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, g: 2, d: 2, o: 1, r: 1, v: 1}. What is prob of picking 2 g, 1 d, and 1 v?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 175\/20 + (0 - 2\/(-8)). Let l = 7 - 1. What is the highest common factor of g and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*t = 2276 - 412 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.109556 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -1225?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10773 (base 10) in base 16?\nAnswer: 2a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2\/4 + 645*y\/2 + 20485\/4 = 0. Calculate y.\nAnswer: -241, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10384, 20476, 30478, 40384, 50188?\nAnswer: 59884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -392, 1 in ascending order.\nAnswer: -392, -12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**5 - 4*w**3 - 308*w**2 + 5*w + 18. Let m(s) = s**5 + 2*s**3 - s**2 + s. Let h(d) = c(d) + 2*m(d). What is the second derivative of h(g) wrt g?\nAnswer: 60*g**3 - 620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276663.\nAnswer: 3, 92221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -369 - -364. Which is the biggest value? (a) -0.4 (b) q (c) -1\/12 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i**4 + 10*i**4 - 2*i + 10*i**4 - 32*i**4 + 5*i**2 - 15*i**3 + 9*i**4 to the form v*i + x*i**4 + t + b*i**3 + j*i**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 + 7*n - 10. Let o(h) = -2*h**2 - 2*h + 3. Suppose w - 4 = 0, 3*z - 5*w - 1 = -0*z. Let y = 3459 - 3457. Determine y*r(j) + z*o(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 17. Suppose 0 = 10*m - 2*m + 64. Let q be (-12)\/m*-6 - 3. List the prime factors of h(q).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**8\/1344 + y**7\/1260 + y**6\/360 - y**5\/60 + y**4\/4 + 4*y. Let l(q) be the third derivative of v(q). Does 25 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -966? (a) -1\/4 (b) 1 (c) -3\/2 (d) -1 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -7 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*f**3 - 4*b*f**2*q + 7*b*f*q + b*q - 238*b - 9*f**2*q - 283*f**2 + 2*f*q + 10 wrt f?\nAnswer: -6*b*f - 8*b*q - 18*q - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((4 - 4) + 1402570\/(-39))*15. Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, -85, -4 in ascending order.\nAnswer: -85, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 + 6312*b - 561069 = 0.\nAnswer: 93, 2011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**22\/l*(l\/l**(-9\/5))\/l)\/((l\/l**(3\/22))\/l*l**(-26)*l))**(4\/13) assuming l is positive.\nAnswer: l**(10546\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**5*q*q*q*q*q**(-2\/3)*(q**(-2\/5)*q)**(-21\/5))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/60 + 8*g**2. Let y(o) = -2*o. Give y(v(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 4 - -2) + -12. Let k be (s - -8)\/(-25 - 1). What is the nearest to 1 in k, 4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002833564 rounded to seven decimal places?\nAnswer: -0.0002834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11*m + 5*h - 2*h = -4*m + 53, 5*h - 27 = m + 33 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120401 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 9:47 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 4 + 6 - 13*s**2 - 2. Let f be b(-1). Is ((-12)\/8)\/(f\/80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(256\/392))\/((874\/46)\/(-76)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-15)\/(-210)*2)\/((-2)\/(-32)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581770500.\nAnswer: 2, 3, 5, 19, 137, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let z(k) be the third derivative of -5*k**4\/12 - 3*k**3\/2 + 64*k**2 - 6. Give v(z(j)).\nAnswer: -20*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and -1 - (3 + 52\/(-4))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365104 (base 7) to base 3\nAnswer: 10101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293580893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -121403.\nAnswer: -121410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let s be 22\/6 + (-2)\/k. Suppose 4*x - 3*x - s = 0. Let c(r) = r**3 - 3*r + 3. Let g(p) = -2*p + 2. Calculate x*g(l) - 2*c(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-15) + (-1410)\/(-75). Solve 0 = 7*h - 12*h + a + 20, -k = -3*h - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-897)\/(-13))\/((-84)\/(-28)). Solve 0 = 3*i + 2*w + 7, 18*i - 15*i - 4*w = u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 + 6*d + 18. Determine z(-6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -403, -622, -839?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1370*k**2*z - 2*k**2 + 21998*k*z - 3386*k - 313 wrt z.\nAnswer: 1370*k**2 + 21998*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10006, 20014, 30022, 40030?\nAnswer: 50038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 21*p**2. Let g(h) = -2690033*h**2. Determine g(j(c)).\nAnswer: -1186304553*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, g: 4, r: 2}. What is prob of sequence rbbr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c + 7. Let y be j(-6). Let f be (2 - 2) + (-1 - -34). Let z = f + y. Calculate the least common multiple of z and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -220 + 218 + 3*g + g**2 + 4*g**3 - 2*g**3. Let p(q) = -q**3 + q**2 + q. Give p(c) - r(c).\nAnswer: -3*c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (14 + -2 + -2 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u + 5*u**3 - 7*u**2 + 2*u**2 + 7 - 4*u**3. Let r = 76 - 45. Let c = r + -25. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/210)\/((-5)\/(-9))*88\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -16140810.\nAnswer: 48422430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 135*w + 3157. Calculate the remainder when t(-14) is divided by 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**3 + 5*w**3 - 70*w + 16*w**3 + 18*w wrt w?\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3570208726.\nAnswer: 2, 7, 17, 15000877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2\/2 + 22*b - 1. Calculate the lowest common multiple of d(0) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 22*a - 15. Let r be y(10). Let z be 107\/5 + 10\/(-25). Solve 0*h = f - r*h - 21, 5*f - 4*h - z = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32708 and 420?\nAnswer: 3434340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, a: 1, u: 1, w: 7}. What is prob of picking 2 q and 1 w?\nAnswer: 49\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*p + 2. Let a(j) = -3*j**2 + 25*j - 8. Let n be a(p). Let q = 382 + n. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1459071*z**6 + 261695477*z**2?\nAnswer: -175088520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - y**2 + y. Let q = -24 + 25. Determine w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**2 + 4*x - 11. Is r(-5) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3\/5 - 132*w**2\/5 + 16068*w\/5 - 275808\/5 = 0.\nAnswer: -104, 26, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509864 divided by -438733?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 150*x.\nAnswer: 2*x*(x + 375)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 46. Put 1, j, -2 in ascending order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12347264*x**4 + 8451369 wrt x?\nAnswer: 49389056*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -18*d + 500. Suppose -g - 3*n + d = 0, -79 = -g - 2*n + 19. What are the prime factors of g?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 56?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-15)\/(-1*(-5 + 4)). Let d be (g\/(-5))\/(-1)*6\/(-9). Sort -9, d, -7 in decreasing order.\nAnswer: d, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5\/6 - 436*n**4\/3 - 1733*n**3\/3 + 2606*n**2\/3 + 3467*n\/6 - 2170\/3 = 0.\nAnswer: -868, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2984 and 1000013.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(-3 + (-14)\/(-4)). Suppose -2*g = -0*g - n. Let a be g + -2 + 2 + -1. Is a greater than or equal to -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiiaiiai. What is prob of sequence aa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/3*(-162)\/27. Sort y, -4, -1, 7.\nAnswer: -4, y, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 1. Let m be w(1). Suppose -20 = -m*j - 5. Find the second derivative of j*o - 37*o + 3*o**5 + 17*o wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.207006 kilometers to nanometers.\nAnswer: 7207006000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61205793.6000057 + 61205802. Let r = l - 8.4. Round r to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -162*a + 2. Let j be u(-1). Let p(w) = 2*w**3 + 4*w**2 - 2. Let m be p(3). Let t = j - m. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/5 - 3)\/((-726)\/(-165)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Let j(i) = 2*i**2 + 3*i - 3. Let f(x) = -x + 1. Let h(v) = 3*f(v) + j(v). Let p be (-10)\/(-3) + (-1)\/3. Determine p*b(u) - h(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5329650 divided by -6.\nAnswer: -888275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -7) + 13 + -1 + -12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.058 - -3.458. Let p = d - 5. Let w = p - -1.8. Put -2\/9, w, 1 in descending order.\nAnswer: 1, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37180948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 3*p**4 - 6*p**4)*((-3*p + 13*p + 0*p)*(2 - 5 + 2) - 4 - p + 4).\nAnswer: 44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -534.9 + 535.9. What is the third smallest value in j, -358, 0.5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + 7 + -14 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -142*(1 - (-145)\/(-146)) - (-3)\/6*2.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7899*h - 639825. What is q(81)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 + (7 - 10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10434*-0.3\nAnswer: -3130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 + 119*u**2 - 148*u**2 + 21*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -2 - (-5 - -3). Suppose -5*q = -n*u + 14, -3*q = -0*u + 2*u + 2. Is u less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/120 + b**5\/15 + b**4\/8 + b**3\/2 + 177*b**2\/2 - 106. Let z(o) be the second derivative of v(o). Calculate z(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3468.6 + 3469. What is the smallest value in b, 244, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108604*j**5 + 5*j**4 + j**3 + 1398*j**2 - 23 wrt j?\nAnswer: -6516240*j**2 + 120*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11461 is divided by 1241?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.666 - 1.866. Which is the nearest to y? (a) 4 (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 25. Suppose 0*j - 125 = -3*j - 4*f, -2*f = -5*j + 165. Let g = j - k. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/((-6)\/144). Let r = n - 16. Calculate the smallest common multiple of r and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122122012021212 + -12?\nAnswer: -10122122012022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 2\/15*b**2 - 7\/45*b**3 - 2\/45*b**4 - 4*b + 0. Solve p(d) = 0 for d.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, 3, 0.02 in ascending order.\nAnswer: -0.3, 0.02, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 13*u**2 + 23*u + 25. What are the prime factors of t(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 234 - -5?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 728 and 921 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 22 - w - 28.\nAnswer: -w - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*b - 58*b + 260*b + 485*b.\nAnswer: 547*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*h = y - 99, 0 = 4*y - 4*h - 68. Suppose -13*c - 9 = -10*c. Calculate the remainder when 276\/((-9)\/c) + 0 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 + 143. Solve g + 0*g = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c - 5*a, 3*a = -3*c + 6*a + 15. Let i be (-8)\/(-14) - c\/7. Let m = i + -1\/13. Is m at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - -149*27\/(-189)\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -917*w**4\/6 - 915*w**2 - 2*w. Let z(b) = b. Give p(z(u)).\nAnswer: -3668*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*2*sqrt(2)*-1 + 3*sqrt(72)).\nAnswer: 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 554, 3, -488781, 1 in ascending order.\nAnswer: -488781, 1, 3, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*y**2 - 58*y**2 + 142*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55146, 55175, 55204, 55233, 55262?\nAnswer: 55291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840835?\nAnswer: 5, 347, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1988451\/1064 + -7457\/152. Let c = -1822 + w. Calculate the common denominator of 554\/168 - (-2)\/7 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**6\/4 - 21*n**5\/10 + 9*n**4\/8 + 31*n**3\/2 + 15*n**2 - 155. Suppose g(a) = 0. Calculate a.\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59556 and 4516.84914?\nAnswer: 64072.84914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 - -173b?\nAnswer: 16b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 25. Let z be ((-2)\/2 - 0)\/(-1). Put z, i, -3 in ascending order.\nAnswer: i, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 14 + 41 = -4*g, -2*i + 3*g = -15. What is the second derivative of -10*z - 3*z**i + 6*z - 2*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298274 is divided by 458?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11158, -23649, -37470, -52621, -69102, -86913, -106054?\n\"Answer: -665*m**2 - 10496*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12510 plus 25.47?\nAnswer: 12535.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -7\/5 (c) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 2, x: 2, i: 1}. Give prob of picking 2 m and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/6 + -2*(5 - (-1320)\/(-121))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 0, 66.2 in ascending order.\nAnswer: -71, 0, 66.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 5*n = 3*k + 89, 5*k - 100 = -4*n. What is the greatest common divisor of k and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 283391399.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x**2 - x - 13. Let c be q(-3). Let i = c - -262. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/10)\/(10*((-1189)\/2175)\/(-41))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(11\/4). Let y = q + -47\/44. Let r = -5.1 + 5.2. Which is the biggest value? (a) r (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 642886788 a multiple of 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460865 is divided by 378.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.2018 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 36 + 23)*(36*w - 19*w - 18*w + 2).\nAnswer: 29*w - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -8\/6241?\nAnswer: -8\/6241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Suppose 0 = -w*h + 12 + 2. Let x = 0 + h. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1 - -8) + 24 + -21. Suppose 5*v = 3*v + f, -v = 3*k - 5. Solve -4*g + 5*g - 4 = k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -3*n + s = 0, -5*g - n + 31 = -3*g. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (4 - 7) + 93. Let s be (494\/m)\/((-4)\/10). Let i be (-7 - s)\/(-1 + 3). Solve 10 = 2*t + i*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i, -34*i + 10*i + 11*i = 3*q - 0*q - 16*i + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 36. Let p be q(-15). Suppose -2*y = -j + 2*y + p, -3*y = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16918045, -16918045, -16918035, -16918009, -16917961, -16917885, -16917775, -16917625?\nAnswer: -16917429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - 0 - (-162 - -176). Which is the third biggest value? (a) n (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279.5 + 185. Let h = 95 + u. Let o be ((-3)\/18)\/((-4)\/(-9)). Which is the closest to -0.5? (a) o (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 256 = 4292. What are the prime factors of g?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*j + 6884928 = 6*j, 8606200 = 5*k - 3*j. Suppose 10921243 = -4*z + 2*l + k, 4*l - 4600012 = 2*z. Round z to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 9\/((-5)\/((-70)\/(-3))). Solve 4*x + 31 = 3*c, -5*c + 4*x = 1 - i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*j - 27 - 22, 0 = -3*j + 3. Let s = 37 + -31. What is the highest common divisor of f and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 797*c**2 + 1 - 3065*c**2 + 249*c**4 wrt c.\nAnswer: 5976*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15553 + 9916. Let t = 214189\/38 + k. What is the common denominator of t and -81\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -5402.71.\nAnswer: -5402.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.744 - -4\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164 - 160. Sort -41, w, -3.\nAnswer: -41, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 4. Suppose 3*q + 60 = -12*i, 2*q - 5*i = -7*i - 4. Let p(v) = -9*v + 33. Determine q*p(w) - 33*c(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 44639.6 days?\nAnswer: 3856861440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -164086?\nAnswer: 82043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -12. Let p(y) = y**b + 5*y**2 + 0*y**2. Let c(j) = -j. Give p(c(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 20*z**2 - z - 11. Give l(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 2.3. Let v = 454 + -452. What is the closest to v in q, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12350 + -8580. What is the greatest common divisor of 390 and s?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a**4 + 189*a**3\/2 - 159*a**2 + 46*a + 60 = 0.\nAnswer: -15\/34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1508 - -1033. Let x = -461 - m. Calculate the remainder when x is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Suppose -z - p = -6*p - 13, -2*z = -p - 8. Let b(u) = -u**3 + u**2 + u + 1. Let q be b(-1). Let y(h) = h + z*h - q*h. What is 8*c(j) - 3*y(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 1}. Give prob of picking 1 u and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j - 1. Let i(d) = -d + d**3 + 0 - 4*d**2 - 2*d + 4 - 3. What is the remainder when i(5) is divided by h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 16640?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 4*u - 4*i = 46, -863 = -4*i - 0*i - 903 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000331306 to 5 decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/12 - 6*s - 1. Let r(p) = -p**2 - 311*p. Calculate l(r(u)).\nAnswer: -u**4 - 622*u**3 - 96721*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 7 - 9. Let x be (189\/(-18))\/((-3)\/y). Solve 4*i = -2 - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**2 - 48*k**2 + 79*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-120)\/(-21) - ((-56)\/(-42) - 14\/(-3)). Let w be (1 + 0)*6\/(-69). Which is the closest to 4\/3? (a) 0 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 21 = -q - 5*n, -4*q + 132 = -4*n. Let c = q + 39. Is 11126\/30 + 10\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + -1 + 59 - (54 + -56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-51)\/3)\/(0 - -1). Let m = -16 - z. Sort m, 4, -4 in decreasing order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(0 - (3 + (-21)\/9)). Suppose -4*o + 32 = -z*j, -4*j + 2*j - 4*o - 40 = 0. Is j\/(-4)*4\/6 + 1256 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 785.6 and -11.445.\nAnswer: -8991.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.4. Put 2\/3, 5, i in decreasing order.\nAnswer: 5, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)*10\/(-4). Let l(z) = z**3 + z**2 + z - 1. Let y(c) = 3*c**3 + 6*c**2 - 5. Let w(d) = 5*l(d) - y(d). Let v(t) = t. Give f*v(j) + w(j).\nAnswer: 2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -2, -9, -3, -120, -18 in ascending order.\nAnswer: -195, -120, -18, -9, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let y(z) = -9*z**2 + 7*z. Let b(f) = -4*f**2 + 4*f. Let u = -6 + 10. Let s(k) = u*y(k) - 7*b(k). What is -6*a(o) + s(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqsq when four letters picked without replacement from qqss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 6}. What is prob of sequence sww?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 17600\/675)*3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27 + -8 + 0\/(1\/(-1)). Calculate the highest common factor of d and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 3*a**2 - 5*a - 3. Let r be (264\/20)\/3 + 2\/(-5). What is v(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 - 7*m**2 - 5*m - 4. Suppose 6*q + 5*c = q - 50, -3*q - 27 = 2*c. Let h be t(q). Is h\/(-2) + 3 + 6\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13812810 and 363495?\nAnswer: 13812810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193231159 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (124\/(-7))\/((-236)\/826). Let x = -1\/6081 - -128377\/2027. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 37. Let r(m) = -14. Let s(j) = 8*r(j) + 3*w(j). Let v(p) = 2*p**2 - 3*p + 1. Give 3*s(n) + v(n).\nAnswer: 2*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.012 rounded to 1 dp?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17582 and 38?\nAnswer: 334058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40181 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2488 or -80.9?\nAnswer: -80.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 42, 104, 200, 336, 518, 752, 1044?\n\"Answer: k**3 + 8*k**2 + 3*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 8. Let d be s(-11). Let o(n) = 2*n**2 + 5*n - 3. List the prime factors of o(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1653 + 1683. Let y be (1 + -2)*1 - 7. Let m be (-12)\/(-1) + 16\/y. What is the greatest common divisor of n and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -22.6232.\nAnswer: 113.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -326*g**6\/15 + 2*g**5\/15 - g**3\/3 - g**2 + 648. What is the third derivative of k(a) wrt a?\nAnswer: -15648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f*z**3 + 5*f*z**2 + 391*f*z wrt z?\nAnswer: 114*f*z + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3629 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttptppppttt. Give prob of sequence tppp.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -149 + 4?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988543728.\nAnswer: 2, 3, 67, 102461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 17*g - 4*d, 1159*d = 5*g + 1155*d - 15 - 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 6*m. Let l(c) = -c - 2. Let n be l(3). Determine w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 5*d + 29, 0 = 5*d + 20. Suppose -767 = g*m - 183. Find the common denominator of m\/6*33\/(-88) and -28\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q + 10. Let b = q - -15. Find the first derivative of -1 - b*o**2 + 7 + 4 wrt o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157439 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 409155915, 409155916, 409155919, 409155924, 409155931, 409155940, 409155951?\n\"Answer: k**2 - 2*k + 409155916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 + 69*c**2 - 20*c + 13. Let p be k(-13). Calculate the highest common divisor of p and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1096848 and -133\/3107736.\nAnswer: 18646416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-3 - 1524\/21). Let y = -78 - w. Is y equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -37*w**2 + 18*w - 92. Let d be q(6). Suppose 2*t - 545 = 3*t. Let l = t - d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203339\/548790 + -11\/4989. Let u = 3\/110 - s. Which is the closest to -2\/5? (a) 0.8 (b) u (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:58 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/7 - 3*u**4\/7 - 15*u**3\/7 - 17*u**2\/7 - 6*u\/7.\nAnswer: u*(u - 6)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -36 + (-398 - -439)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -374 + -110?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3185299\/5 or 3\/4?\nAnswer: -3185299\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**3 - 8*z**2 - 5*z - 5. Let s(v) = -4*v**3 + 4*v**2 + 2*v + 2. Let j(b) = -2*o(b) - 5*s(b). Find the third derivative of j(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 + a + 15. Let x be q(0). Suppose -2*i - i - x = 0. Let j be (-1 - i\/3) + -1. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 316252\/20 + (-15)\/25. Is c\/3 + (-7)\/((-63)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33490 and 3345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 54*m. Let d(i) = -i - 8. Let t = 495 + -497. Let n(y) = -y - 12. Let z(v) = t*n(v) + 3*d(v). What is f(z(c))?\nAnswer: -2*c**2 - 54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:36 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310 - 219. Let u be k\/28 + 1\/(-4). Suppose -5*t = 0, -2*r + 125 + 1 = -u*t. Calculate the remainder when r is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -59\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 1?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30327 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 10:56 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*z + 6*z + 62174. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-9))\/((-2)\/9). Suppose y = 2*n + 2. Suppose n*c - 8 = c. Solve -z + 4*u = -20, -4*z + c = -z + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -255*v**4 + 6*v**2 - 44461*v + 221958127.\nAnswer: -1020*v**3 + 12*v - 44461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 33.8.\nAnswer: 33.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.5, -12, -0.6, -0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -519a + 3866?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**2 - 36098 + 92*u**2 + 0*u + 36098 + 0*u.\nAnswer: 68*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c + 32. Calculate o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6821.\nAnswer: 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose b + 0*b + 4 = o, -g*b = -5*o + 14. Find the third derivative of -2*k**o - 2*k**6 + k**2 + 0*k**2 - k**6 wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:18 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.28 - 0.02. Let l = 12 - 12.2. Let d = 6.3 - 6. Which is the third biggest value? (a) n (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g - z, 0*z = 3*z - 3. Suppose 5*h + 27 = c, -g*c = 3*h - 6*h - 69. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -44\/9*s**2 + 14\/3*s**4 + 2*s - 22\/9*s**5 + 4\/9*s**3 + 2\/9 = 0?\nAnswer: -1, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 20*o + 113831980 = 0. Let h be 4\/((-3880)\/o) + 0. Let x = -29338 + h. What is the common denominator of x and 19\/22?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - 45 = -79 - 104. What is the highest common factor of 5202 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-201)\/(-1608))\/((-14)\/(-64))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 430137.\nAnswer: 4731507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 643284407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t + 3*t**2 + 229408 + t - 229407. Let p(l) = -l**2. Calculate o(h) + 4*p(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 11*x + 8. Let y = x - 4. Suppose 0 = 9*z - 29*z + 40. Solve z*k - 7*k + 10 = y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40689, -40715, -40741, -40767, -40793, -40819?\nAnswer: -40845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or -12438?\nAnswer: -12438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39056775521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 775, 1511, 2245, 2977, 3707?\n\"Answer: -z**2 + 739*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 7.37\nAnswer: 22.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22718933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1584) + 0 + sqrt(1331))**2 - ((3 + (sqrt(99) - (-1 + sqrt(99))))*3)**2.\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**4 + 6*l**4 + 4*l**5 + (-4*l + 4*l + 5*l**2)*(-2*l**3 + 2*l**3 + 2*l**3) - 3*l**3 + 3*l**3 - 2*l**5 + 0*l**5 - 3*l**5 + l**5.\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 291. Let t be y*(-6)\/(-168) + (-2)\/14. Suppose t*s = 15*s - 6446. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 148.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-69)*((-4733)\/182 - 1). Let z be 564\/(-91)*(-1 - -5)\/12. Let m = z + q. What is the common denominator of 5\/6 and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(56\/(-8)))\/(48\/(-2256)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 4 (b) -0.2 (c) 2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192607675415 less than 5?\nAnswer: -192607675410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5208)\/11284*13\/(-177)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 12, -52?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-7)*14\/(-4). List the prime factors of (-184)\/q - (-12)\/(-42).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 101*g - 950796 = 0. Is 49 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -104 (b) -4 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -37 + 118 + (-1 - 1) - 20?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 18345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93 and -12221059.\nAnswer: -12221152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1. Let q(m) = -2*m**2 + 3*m + 2. Let p(k) = 2*k**2 - 4*k - 3. Let r(t) = 5*p(t) + 6*q(t). Give i(y) + r(y).\nAnswer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -336, -358, -418, -534, -724, -1006, -1398?\n\"Answer: -3*t**3 - t**2 + 2*t - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 38. Let s be m(-9). Suppose 12*y - 28 - s = 0. Solve l - y = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/21)*c))\/c**(-9\/4)*c\/(c**(-2\/5)\/c)*(c\/(((c*c*c**(-2\/7)\/c)\/c)\/c))\/c assuming c is positive.\nAnswer: c**(2113\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2426*(-3 - -5)*2\/4. Is (v\/3)\/(14\/(-21)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 + n - 4. Let p(w) = 2*w**2 - w. Let l(o) = 3*p(o) - q(o). Let c(y) = y**3 - y + 1. Let g be c(0). Let m be l(g). Which is greater: m or 1\/28?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29173857 minus 216.583?\nAnswer: 29173640.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0189734663 rounded to 6 decimal places?\nAnswer: -0.018973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/429 + (-2)\/(-312)*-4)*1.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6286 + 17815\/3. Are d and -347 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from vvvtqwwwvjvvvqvvv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 644\/3, 3\/7, -2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 178. Let u be b(-31). Solve -3*o - u = 5*s, 3*s + 0*s - 8 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*b = -170*b - 50. Solve -9 + 5 = -u - 2*t, -b*t + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1076*g**2*p**4 + g**2*p**2*x - 7*g**2*p*x**2 + 83*g**2*p*x - 8*g*p**4*x**2 wrt p?\nAnswer: 25824*g**2*p - 192*g*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1297779 - -2784253. Let y = q + -28235689\/19. Let i = -385 + y. Which is the nearest to 0? (a) 2 (b) 3\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 2\/13, 0 in decreasing order.\nAnswer: 1, 0.2, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u + 338413 = -1250235 - 841416. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/84)\/(((-5)\/30)\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515 is divided by 118?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v + m + 12, -4*m = 8. Suppose -v + 2 = -2*f. Suppose 0 = -0*w + 3*w - 6. Solve -f*p = w + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3797561 (base 11) to base 15\nAnswer: 8a0b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let z(k) = -4*k - 240. What is z(w(l))?\nAnswer: 8*l**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -363*l**3*r + 283*l**3 - 140*l**2 + 8*r with respect to r.\nAnswer: -363*l**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707 and 253409?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.079 + 6.679. Round b to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80344153 is divided by 153916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 43*m - 129. Let y(a) = 3. Let z(j) = g(j) + 43*y(j). Let v(q) = -2*q**2. Give z(v(r)).\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -419, -424, -425, -422, -415?\n\"Answer: 2*u**2 - 11*u - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1169 - 548. What is the greatest common factor of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 - 5111967*p**3 - 139671029*p?\nAnswer: -24*p**2 - 30671802*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 291582287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 3. Let w be m(-6). Suppose -c - z = 3*c - 20, 3*c - 15 = -w*z. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l + 54*l - 12 = 0. Solve q = 2, 0*d + l = -d + 3*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Suppose 4*c - 2*i = -16, 2*c + 2*c = -4*i - 4. Let w be y(c). Is w at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + (-182)\/6. Let h = 31 + i. Factor h - 1\/4*j + 0*j**2 + 1\/4*j**3.\nAnswer: j*(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*36\/(-6)*(-14)\/189?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-61 - -25) - (-9 - -9)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 - 7*a**2 + 5*a - 6. Let q(z) = 196*z**2 - 1 + z + 0 - z**3 - 197*z**2. Calculate g(n) - 5*q(n).\nAnswer: 2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 10*t\/9.\nAnswer: -2*t*(t - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:36 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-23)*(-78407)\/3409\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(35)\/sqrt(7)*-3).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven fifths of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3264, -3282, -3314, -3360?\nAnswer: -3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 at most 335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500403 is divided by 2442.\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77436660 + -7.7763.\nAnswer: 77436652.2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 6}. What is prob of picking 3 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicjc. What is prob of picking 1 c and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 + s + 1. Let r be (-5)\/15*3 + 4. Let x(i) = 14*i**3 - 16*i**r - 4*i - 2*i**2 - 3 + i + 6*i**2. What is -4*h(u) - x(u)?\nAnswer: -2*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**5*r - 2*p**3 + 39*p**2*r**2 + 4*p*r**2 - 17*p - r**2 wrt p.\nAnswer: -40*p**3*r - 12*p + 78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29644, 237100, 800178, 1896688, 3704440, 6401244, 10164910?\nAnswer: 15173248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -4, 1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 + -111. Suppose -78*m + 72*m + i = 0. Sort -1, m, 1 in ascending order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*u**4 + 242*u**3 - 1410?\nAnswer: -20*u**3 + 726*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from rrroooxoxterxtte.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/136*(-96)\/252*(-2)\/6*-70?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14830001.\nAnswer: 17, 872353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -217437 (base 11) in base 8?\nAnswer: -1244730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-35865)\/(-75))\/((-27)\/(-45)) is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) + 0) + 2 + ((1 + sqrt(704))*3)**2.\nAnswer: 146*sqrt(11) + 6347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + 17 - 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = 5*u + 11896. Calculate the remainder when (-4)\/(-7) - u\/63 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*f - 21 + 202*f**2 - 76*f - 201*f**2.\nAnswer: f**2 + 35*f - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.79 + 30. Which is smaller: -2\/5 or r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ucwwwecwkwwuuee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19026\/5 - -3806. Put -0.376, -0.1, 0.3, m in descending order.\nAnswer: m, 0.3, -0.1, -0.376","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 7*a - 2. Let s(p) = -p - 1. Let v be s(-8). Let g be x(v). Let l = g - -5. Calculate the highest common divisor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11323204.613454 + 11323123. Let f = z - -63.61341. Let m = f + 18. Round m to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/17, 0, -12\/5, -1\/5 in increasing order.\nAnswer: -12\/5, -1\/5, -2\/17, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 296293 and 384540?\nAnswer: 231108540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 458434 + -10?\nAnswer: 458424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose -1 = -y + 1. Suppose 12 = f + y*f. Which is the closest to 0.2? (a) m (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -22*b**2 + 18*b**2 + 6*b**2 + 2*b**4 - 4 + 6*b**3 - 2*b - 4*b = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 + 10 = -3*z, -2*z = -2*b + 8. Suppose 0*r - 1526 = -b*r + 2*m, -m = r - 386. Suppose -4*o + 141 + r = 0. List the prime factors of o.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 - 1\/20*r**5 + 19\/2*r**2 + 29*r + 0*r**4 + 1\/6*r**3. Determine x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-99)\/(-6))\/((-24)\/320). Is m greater than -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 48 = 228. Suppose 0 = 3*m - 2*x - 57, 0 = -4*m - 45*x + 44*x + 87. Suppose -16*u - i = -m*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 23 = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9728729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 29*o + 28*o = 15, 22 + 14 = -2*k - o - 3*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + 2.4. Let v = -0.205 - 0.045. Let c = 0.75 - v. What is the nearest to t in -0.1, c, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -7) + 0\/1. What is the derivative of 1 - 3*f**4 - 3*f**s + 5*f**4 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/40*8\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - -64. Suppose -49*o = -45*o. Is (v + o)*(-1 + 2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + h - 1. Let l(a) = -7*a**3 - 3*a**2 + 3*a - 4. Let u(i) = -l(i) + 5*y(i). What is the tens digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5490000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/120 + t**5\/15 - t**4\/12 + t**3\/2 + 394*t**2. Determine q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t. Let r(x) = -2204*x + 21. Give o(r(d)).\nAnswer: -13224*d + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73939 divided by 533\nAnswer: -73939\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2600 - -4?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220.4 + -8.4. Let d = r + -211.5. What is the third biggest value in 5, -0.4, d, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**2 + 39*c**2 - 84*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-163000)\/8400 + 2\/(-21) + 0\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/(-36))\/((-3)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -41. Suppose m = -z + 10. Suppose 2 = f, 2 = -5*d - f + z*f. Solve d = 3*p - 7*p - n - 5, -4*n = 2*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 9*x - 5. Let l be s(5). Calculate the highest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*6\/9*-3. Let i(k) = -k**3 + 3*k**2 + 6*k - 1. Calculate i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 11*i**2 - 14*i - 17. Let o be u(9). Which is smaller: 25 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000969008 rounded to 5 dps?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.24, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -q - 0, -5*c - q = -17. Suppose 0 = -5*b - c*s + 30 + 71, 4*s = 4*b - 52. Calculate the remainder when 48 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 4847244?\nAnswer: 4847244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**3 - 1 + 0 - 19*l**3 + (2*l**2 - 6*l**2 + 0*l**2)*(l + 2*l - 5*l) to x*l**2 + m*l + p*l**3 + n and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c19a8 + -18?\nAnswer: -c19c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/4, -5, 0.03376, -287, -0.15?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwfp when four letters picked without replacement from {p: 1, k: 1, w: 2, f: 1, m: 4}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8 + 4. Let z be 40*(j + (-11)\/(-2)). Calculate the common denominator of 4\/(-6) + z\/48 and 21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 3*v**2 - 4*v - 5. Let c be 7\/7 + -4 + 104. Let d = c + -105. What is g(d)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h - 19*h - 4*h + 10*h to the form t + m*h and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1 - sqrt(66))*-1 - sqrt(66) - (sqrt(66) + sqrt(66)*2)*4)\/((sqrt(2304) + sqrt(2304)*-3)\/sqrt(6)).\nAnswer: 11*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 236135 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 7*y**2 - 11*y + 7. Let i be w(5). Let n be (-2 - 1)\/((-39)\/26). Solve 5*x + 3 = 2*d - 4, 4*x = -i*d - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*r - 5*r**2 - 2*r**2 - 69*r**3 - r**4 + 71*r**3 as z*r**2 + c*r + q + d*r**4 + l*r**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngggngt. Give prob of picking 4 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*p = 1 + 16, -2*w = 3*p - 3. Suppose -17*x + 13*x + 77 = 5*l, -w*x + 2*l + 29 = 0. Calculate the remainder when 114 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -15. Let r(g) be the first derivative of -4*g**2 - 3*g + 1. Is r(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19911 (b) 16\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, 0.3, -904?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0, -10, -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29775, 119070, 267895, 476250, 744135, 1071550, 1458495?\n\"Answer: 29765*c**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {z: 2, f: 4, a: 1, u: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) - sqrt(12)) + -4*sqrt(6)\/sqrt(2).\nAnswer: -5*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/12 - p**4\/24 - p**3\/2 - 3*p. Let l(m) be the second derivative of s(m). What are the prime factors of l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (183\/(-3355))\/((-1)\/(-20))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65273577, 65273579, 65273583, 65273589, 65273597?\nAnswer: 65273607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*o**3 - 60*i**3*o**2 - 11*i**3 + 9*i**2*o + o**3 wrt o?\nAnswer: 6*i**3*o - 120*i**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 10*m - 52\/3.\nAnswer: -2*(m - 13)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 7*l**2 - 12*l - 1. What is the remainder when 25 is divided by k(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 (base 10) in base 15?\nAnswer: -581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.320164 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -94, -346, -834, -1636?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*g + 295 - 27*g - 157 - 155 to the form s + d*g and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 2, b: 1, x: 1}. Give prob of sequence axha.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from llllliill.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -161, -355, -627, -977, -1405, -1911?\nAnswer: -2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4647 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - z. Suppose 0*h = 2*h - 4. Let t be x(h). Suppose k - t + 6 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/7)\/k)**(-11)*k**(-2\/13)\/(k*k**(-1\/6)) assuming k is positive.\nAnswer: k**(2893\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-2*10*(-10)\/800.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6580571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 5273240368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:30 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/5076 + 394661\/10152. Which is bigger: 39 or c?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 - 12*n + 17. Let j(m) = -m + 21. Let w be j(11). Is v(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493438752 divided by -6.\nAnswer: -82239792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - ((sqrt(360)*-1 + sqrt(360))*-3 + sqrt(360)))\/sqrt(8))\/((sqrt(36)\/sqrt(4)*5 + sqrt(9))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.8995 rounded to one dp?\nAnswer: 122.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let w(q) = -136*q. Give -170*l(h) - w(h).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let a(j) be the first derivative of j**2\/2 - 3*j + 16. Calculate -a(m) - 4*r(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 40. Let i(v) = v**2 - 15*v + 3. Let j be i(19). Suppose -3*x - 16 = -j. Give o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -122*x + 1\/6*x**4 + 0 - x**3 + 0*x**2. Factor z(k).\nAnswer: 2*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 40 = 11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -279*h - 44118. What is j(-158)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (31 + -21 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Let x(v) = 240 - 4282*v**2 + 316*v - 240 - 316*v. Determine p(x(z)).\nAnswer: -36671048*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*u*z**2 - 3*u*z - 18*u + 15*z**2 - 48*z wrt u.\nAnswer: 13*z**2 - 3*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010 (base 2) in base 15?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 11*w**2 - 7*w + 13. What is c(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26333 + 40093. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*x + 1472 = 3564 + 1784 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-1088)\/112)\/(-8*(-8)\/32).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3923, 3921, 3919, 3917, 3915?\nAnswer: 3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 861453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 12*c + 18*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 132 - 74 + 173 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s**3 - 6*s**2 + 2*s + s**3 - 1 + s**2. Let m = 1918 - 1914. What is j(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*b**2 + 316143*b - 72954.\nAnswer: -3*(b - 8106)*(13*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 23 + 8 + (-5 - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -641.985 + 642. Let j = -3.02 + 3. Let b = j + h. Round b to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -28 - 11 - 20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*i - 15*i - 56*i - 43*i)*(-5*i**2 + 10*i**2 + 12*i**2).\nAnswer: -3077*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-8))\/((-7)\/116284) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27061 in -5, -10, -2\/807, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11003131 (base 4) in base 14?\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 835794 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 2 - 2 + 2*l**3 + (-19*l**4 - 71*l**4 - 18*l**4)*(-1 + 2 - 2).\nAnswer: 109*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -5, -7, 0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 169.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/2319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Suppose -2*a = 3 + 5. Let m(r) be the second derivative of r**4\/12 + r**3 + 3*r**2 - 249*r. Let j be m(a). Give l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - 21\/(-12). Suppose -i*r - 10 = -4*r. Suppose 3*c - 83 = -2*b, 0*c - 91 = -2*b + r*c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17574178*g*n - 1644374*n - 31 with respect to g.\nAnswer: -17574178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*i + 607314 - 36900. What are the prime factors of i?\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s + 3669. Let k(a) = -2*a + 15. What is k(q(v))?\nAnswer: 10*v - 7323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2944\/(-3864) - (-20)\/14 - (2 - 6). Factor 4*a - l*a**2 - 2\/9*a**4 + 0 + 16\/9*a**3.\nAnswer: -2*a*(a - 3)**2*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 3 - (-43 + 58) - (2 + 8 - 9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7*g*g*(((g\/(g\/((g**(-7)\/g)\/g)))\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 + 740*f**2 + 1468*f + 732 = 0.\nAnswer: -183, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 753 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 55.69.\nAnswer: -222.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14139 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 882419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4, 1302, -0.3, -4, 0 in increasing order.\nAnswer: -4, -0.3, -2\/7, 0, 4, 1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let z(v) = 7789*v. Determine z(p(u)).\nAnswer: 7789*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1923654651 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1329830 and -109\/22010?\nAnswer: 41224730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 8:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -64*n**2 - n. Let j be v(-1). Let f be (j\/72 + 1)*-1. Let z be (-34)\/(-18) - 4\/2. What is the closest to f in 2\/7, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 777535*y**3 - 53634045*y**2 + 1233461365*y - 9456070730.\nAnswer: -5*(y - 155438)*(y - 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -32.67. Let p = 0.14 + v. Let l = p + 0.69. Sort -2\/13, 1\/5, -2\/3, l in descending order.\nAnswer: l, 1\/5, -2\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 42 + (7 - (-2 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 7074?\nAnswer: 1\/2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:40 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1250322859.19049 + 1.\nAnswer: -1250322858.19049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 638 - 633. Solve 0 = 2*k - 4*x - 10 - 8, 2*x = b*k - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(275)*-2 + (sqrt(275) + -2 + -3 - sqrt(275))))**2 + -3.\nAnswer: 320*sqrt(11) + 17613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opauopz. What is prob of picking 1 p and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14226 + -9838. List the prime factors of h.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 21*a + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9742, 131\/4, 4, -0.4, -3 in decreasing order.\nAnswer: 9742, 131\/4, 4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 6*y + 43. Let h be l(10). Let k be -10 + -36 + 2 + (-3)\/h. Which is greater: k or -46?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13421 - 3?\nAnswer: 13413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 6 + 1 - 3 + 68*g**3 - g - 2*g**2 - 65*g**3 as w*g**3 + l + r*g**2 + y*g and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11991 < 275826\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*y - 21 = 0, 0 = -4*q + 3*y - 6 - 15. Put -5, q, 8, -4 in descending order.\nAnswer: 8, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.65 + -0.7. Let l = f + 0.129. Let m = l - 0.07645. What is m rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyg when three letters picked without replacement from sggyasyagysyyyagg?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 418*q**2 + q - 417*q**2 - 4 + 0. Let r be s(7). Suppose 0 = 3*b - 15, -4*b = 4*d - 2*b - 62. What is the highest common factor of d and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-4)\/2*1. What is the units digit of f*1\/(0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*(-2)\/1. Suppose -o + f = 1. Suppose -s + 4*z + 23 = -z, 0 = -5*s - o*z + 88. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*r - 1079, -512*o = -507*o - r - 1076. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*i - 2*p, i + 5*p - 11 - 8 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494890\/(-11495) - (-3)\/57.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {k: 4, e: 8, b: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**6\/2 - 7*d**5\/20 + d**4\/12 + 41*d**2 + 115*d. Find the third derivative of j(v) wrt v.\nAnswer: -360*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*r - 26 = 0, -381*d = -386*d + 5*r - 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/6)\/(252\/(-1296)*2)*20\/(-18).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2478)\/720 + (-4)\/(-10) - 138\/(-368)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = 2*c, 5*g - c - 5 = -3*c. Let m be (g - -5)*(-10)\/(-15). Solve -m*a = -2*y - 30, -3*y - 5 = -2*a + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g\/g**(4\/3))))*g**(-5)\/g)\/(g\/g**18*g\/g**(-1\/5)) assuming g is positive.\nAnswer: g**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6*w**8\/w*w*w\/w**(-18\/11)*w*w*w**(-31) assuming w is positive.\nAnswer: w**(-136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -23 + 2. Let z(b) = 10*b - 6. Is 23 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156*0.358.\nAnswer: -55.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*n - 661 + 685, -2*t = 16*n - 282 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3040 and 190.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-253)\/46 + -2*(-776)\/(-288)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4642 and 158675798?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - -34. What is the second derivative of 33*q**4 - n*q**3 + 54*q**3 - 3*q wrt q?\nAnswer: 396*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015 (base 12) in base 9?\nAnswer: -2348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/111 (c) 4535 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/90*(-56)\/(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2 + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 2*s - s)*(0 + 0 - 3)*(-107 + 107 + 29*s) to the form c*s + r*s**2 + u and give r.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**3 - 7*x**2 - 7*x - 26. Let o(u) = 5*u**3 + 3*u**2 + 3*u + 11. Determine -6*a(n) - 14*o(n).\nAnswer: -16*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244812081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/36 - (-4)\/16. Which is the third smallest value? (a) i (b) 2 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 6*t + 3. Let u be s(-6). Suppose -d - 17 = u*q, 2*d + 4*q = -q - 29. Let h = 1213 + -1212. What is the nearest to h in 5, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 4. Let t be -1*((-1 - -2) + 2). Let u be r(t). Let h = 2 - u. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3137065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = 4*d. Let b(x) = 12*x - 16. Let f be b(1). Let k be 225\/d*f\/10. Let o(p) = -2*p + 7. Determine o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849579 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.2. Let k = 1.3 - 0.6. Let u = o - k. What is the second biggest value in 0.1, u, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100081, 100194, 100381, 100642, 100977?\nAnswer: 101386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126064794*z = -126064685*z - 1962 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 2*o + 8, -858*o + 15 = -863*o + 4*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 17*p**2 - 42*p + 18. Is o(-16) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -32, -43, -50, -53?\n\"Answer: 2*a**2 - 21*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6441277 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 552 times 5\nAnswer: 2760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/((s**(-22\/7)*s)\/s))))**(-2\/23)*(s*((s\/s**24)\/s)\/s)**(-47) assuming s is positive.\nAnswer: s**(181550\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/22 - (-39521)\/11. Let o = 3589 - u. Find the common denominator of -46\/9 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 55) + (21\/(-8) - 110019\/9672)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 133136, 133128, 133106, 133064, 132996, 132896?\n\"Answer: -p**3 - p**2 + 2*p + 133136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2 - 13 - p + 5. Let y be h(-7). Solve 3*n = 6*b - 4*b - y, -4*n - 5 = b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 24, 19, -6, -57, -140?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 90 - 36 - 4*x)*(1 + 0 + 1 + (4 - 4 - 2)*(-2 + 4 + 0)) as q*x + b and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/4 + 69*n**3\/4 - 78*n**2 + 81*n.\nAnswer: 3*n*(n - 2)**2*(n + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63412, 126819, 190224, 253627, 317028?\n\"Answer: -k**2 + 63410*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 1377\/54)\/(30\/216)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*u - 124*u + 1 - 63*u - 1.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 13*t**2 - t - 14. Let k be h(-13). Is k at most -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = -4*g. Suppose -8 = -3*y - 2*c, -5*c + 1 = -g*y - 0. Suppose 93*o = 96*o - 6. What is the greatest common divisor of y and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2531678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*x**2 - 30*x**2 - 11*x**2.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 147 = -5*m. Suppose 6*g - m*g - 4*t = 19, 4*t = 2*g - 30. What is the remainder when 54 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 - 2*j - 18. Let c be w(-10). Calculate the remainder when 228 is divided by 3 + c\/(-2) - -56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10752.6 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100171 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 y(m) = m**2 - m + 1. Let z(u) = 2*u**2 + 3*u + 8. Let s(b) = 3*y(b) - z(b). Let n be s(7). Solve n*l + 3*r - 5*r + 8 = 0, l + 4*r = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 6*x + 5. Let k be t(-1). Let o(u) = 5*u - 28*u - 3 + 5. Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.85042 less than 0.05?\nAnswer: -58.80042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38699202 and 253?\nAnswer: 425691222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + w**2 + 3*w**2 + 4.\nAnswer: -3*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose -10 = -2*v, w*v = -3*k + v + 488. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 2. Let c be 8 + (-824)\/48 - 1\/(-6). What is n(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 + -7033\nAnswer: -7224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 - 155. Let j(n) = n**3 + 13*n**2 + 12*n - 1. Give j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2155 - -532110?\nAnswer: 534305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y**3 + y + 1. Let f(z) = 13*z - 110. Let n be f(8). Let i be ((-18)\/4 - -5)\/(3\/n). What is x(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/9 + 2278\/(-1206) + 16\/1104*141\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**5 + 75*b**4*w**2 + 2*b + w**2 - 14 wrt b?\nAnswer: -80*b**3 + 900*b**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11472*n + 1 + 11469*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 1911 = 3*v. Suppose 0 = 3*t - x + 5*x - v, 4*x = t - 207. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173783.\nAnswer: 173783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/(-2))\/(70\/(-140)))\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -12. Let s = -19 + m. Which is greater: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136266401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvd when three letters picked without replacement from {v: 1, t: 2, l: 3, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s + 1. Let m be r(-2). Suppose -m*o + 8 = o. Solve 0*n - 7 = 2*n + z, 2*n - 4*z + o = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14481 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5262 - 412. Is 194 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17869, 35742, 53601, 71446?\nAnswer: 89277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*l + 14, -4*l = 4*w - 6 + 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35030833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3413 and 10653.\nAnswer: 14066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:53 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + p**3 - 49 - 4*p**4 + 53 + 3*p**4 as m + f*p**3 + r*p + i*p**4 + v*p**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 452*b**2\/3 - 6475*b\/3 - 22834\/3.\nAnswer: (b - 466)*(b + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70079.25 years in decades?\nAnswer: 7007.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74526 + 0.4\nAnswer: 74526.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -222923 or -222258?\nAnswer: -222258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from zzlllz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 927347983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3665 + 403.7835. Let p = -340.1552 + b. Let q = p - 65. What is q rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.467152km in centimeters?\nAnswer: 546715.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -74. Solve -f*a = -10*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218238 is divided by 13465.\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 3:28 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100 + -110010100111111?\nAnswer: -110010001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 19*d + 4*d + 47*d + 36*d.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnog when four letters picked without replacement from cncrconxcnorcrrcgcnr?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9791580 to the nearest ten thousand.\nAnswer: -9790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2. Let q(f) = -77*f**2 - 1. Determine w(q(i)).\nAnswer: -17787*i**4 - 462*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - (-123)\/(-12). Is (514\/4)\/(1\/f*-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/5 + 3*u - 154\/5 = 0 for u.\nAnswer: -22, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**3 - 9*l**2 + 9*l - 118. Let p(j) = 13*j**3 - 8*j**2 + 8*j - 117. What is -8*g(m) + 9*p(m)?\nAnswer: 13*m**3 - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025749072 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -14. Suppose 11*n - 10*n = c. Let u be 0 + (2 - (-1 - n)). Solve -2*h - 3*o + u = 0, -o + 16 = 5*h - 2*o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76869, 153727, 230585, 307443, 384301, 461159?\n\"Answer: 76858*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.5. Let f = -102 - -107.1. Let j = -1.1 + f. Which is the third smallest value? (a) j (b) 2\/17 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**4\/24 + 3*p**3\/2 - 2*p**2. Let q be v(9). Let i(h) = -2*h**2 - 31*h - 43. Let k be i(-14). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/11 (b) -0.22 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(72) + -2.\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044615 rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 2*v + 15 - 36 = 41*u, 2*u + 2*u + v = -12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13384 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49b0 (base 14) to base 3\nAnswer: -122200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 982*d - 224197. Calculate i(621).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 914767367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*b - 24, q - 16 = -b - 3*q. Let o = 61612.6 + -61613. What is the closest to b in 3, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1750677 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 881360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3740*v - 17. Let o be j(3). Suppose -7079 - o = -6*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 2. Let r be ((-15)\/12)\/(3\/(-12)). Let b be k(r). List the prime factors of (0 + 0)\/b - -13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 - 3*n + 3. Let j(q) = 4*q**2 + 0 - 7 + 7*q**2 + 5*q + 2. Give 3*j(l) + 5*w(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*y - 64, -3*w = 4*y + 484 - 551. Let a(j) = j**3 - 28*j**2 + 170*j + 19. Give a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00094247621 rounded to 5 decimal places?\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 271905959 - -126.\nAnswer: 271906085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 441*h**3 - 441*h**3 + 63*h**5 + (4*h**2 - 2*h**2 - 4*h**2)*(0 + 0 - h**3) + 2*h**4 - 2*h**4 - h**5 + 3*h**5 - 2*h**5 + 0*h**5.\nAnswer: 65*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 34. Suppose -c - k = -5*m, 2*c + 2*c = -m - 10. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006209 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/240 - 23*l**4\/48 + 529*l**3\/24 + 5*l**2 + 3*l. Find g, given that j(g) = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-5*k + 5*k - 3*k)*(-k - 4*k + k).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*s + 930 - 2806 = 0. Let m(p) = -p - 2 - 1 + 0. Give m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73260 by 36.\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 4. Sort 4, 1, -5, l in decreasing order.\nAnswer: 4, l, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16945 times 2.65?\nAnswer: -44904.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*l - 8. Let z = -5 - l. Calculate the greatest common divisor of 8 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*j - 384*j - 388*j - 388*j - 1010*j**2 + 1547*j.\nAnswer: -1010*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -555a + 1?\nAnswer: -5559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - m - 12. Suppose -3*a + 2*a - c = -51, 0 = -a - m*c + 57. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55990360 to the nearest 100000.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 - 3*a**2 + 4*a + 12 = 0. What is a?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 93\/2 + (-1)\/(-2). Suppose r = 3*a + 197. Let w = -33 - a. Calculate the highest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 - 7*u**2 - 6*u + 6. Let j(a) = a**3 - a**2 - a + 1. Give 6*j(l) - y(l).\nAnswer: 3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 139. List the prime factors of -38*(3 + (-52)\/(-8))*t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26589.\nAnswer: 3, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.2, -9\/50, -2?\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = j + 2*y + 12, -3 = -j + y. Suppose -o + 15 + 14 = j. Calculate the highest common factor of 116 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:37 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.12. Let v = -1.82 - h. Sort v, 5, -3 in ascending order.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/22)\/(264\/176)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108 - 95*y + 151 + 156 - 3 + 345 - 19*y**2 wrt y.\nAnswer: -38*y - 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0496824051 rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -0.12. Which is the closest to m? (a) -5 (b) 3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, s: 1, e: 2, k: 2}. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from qfffqqf.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/51930 and -119\/150.\nAnswer: 259650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73652920151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4*(-57868)\/111 - 11. Solve 7*f = -88*f + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 12*h**3 + 18*h**2 - 57*h. Let m(c) = -5*c**3 - 10*c**2 + 28*c. Let p(b) = -9*m(b) - 4*o(b). Suppose p(w) = 0. Calculate w.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -21*v + 40. Give l(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -146*f**3 + 11*f**2 + 73*f + 11. What is the thousands digit of v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 73\/(-2)*(-4)\/2. Suppose 3*r - 5*x = 682, -2*r - 2*x = -3*x - 443. Calculate the greatest common factor of c and r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x**2 + 2*x - 24. Let z be l(-5). Let c be (-105)\/(-12) - (-2 - 14\/(-8)). What is the highest common factor of z and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9 + 123*r - 55*r - 48*r. List the prime factors of n(8).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + n = -18 + 7, 5*q + 5*n - 25 = 0. Suppose -2*k + 12 = q*r, 3*r + 13*k = 17*k + 9. Solve m = 4*x - 7 - 7, -2*m - 13 = -r*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -b - 3*o, -2*o + 29 = 5*b + 162. Let c = b - -31. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85571, 171136, 256713, 342308, 427927, 513576, 599261?\nAnswer: 684988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 85?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - -5*4\/(-10). Suppose -2*v + 27 = -0*v + j*k, -3 = 3*k. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.787 - -1.55. Let o = 4.763 - i. Which is the second smallest value? (a) 1\/8 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-35 + -29 - -19)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*l + 75, 2*l + 5 - 10 = -r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -634, 5280 in descending order.\nAnswer: 5280, 8, -634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -y - 11, 0*y + h - 6 = y. Let n be 0 + 0 + 1 - y. Suppose -b + n*b = 0. Solve 4*w + b = -2*i + 6, -4*i - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962695*v = 1962734*v + 1482 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 1414 * -18903\nAnswer: -26728842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 25947, -4, 2\/7 in increasing order.\nAnswer: -5, -4, -3, 2\/7, 25947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5986 and 11461.\nAnswer: 939802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1013434023 + 0?\nAnswer: 1013434023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 - 225. Put k, 0.02, -0.5, 0 in decreasing order.\nAnswer: 0.02, 0, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*f + 2671 + 7575 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + o + 5*o)*(0 + 0 - o) - o**2 + 5*o - 5 + 5.\nAnswer: -2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-77)\/(-44)) + -1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 2*g**3 - 2*g**3 + (0*g**2 + 2*g**2 + 0*g**2)*(93*g - 45*g - 44*g) in the form x + i*g**2 + w*g**3 + u*g and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -121, -156, -193, -232, -273?\n\"Answer: -o**2 - 30*o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37294876 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*c + 52 + 14 = 0, -89 = -4*x - 5*c. Calculate the lowest common multiple of ((-6)\/8)\/((-35)\/1260) and x.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115115030 + -29.4?\nAnswer: -115115059.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7738 - -38691\/5. What is the nearest to 363 in 6, t, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252)*-6)**2.\nAnswer: 216*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97642.95 millennia in months?\nAnswer: 1171715400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 + 5*d**4.\nAnswer: d**4*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 179, -1\/2, 353?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = -33. Let u(w) be the first derivative of w**3\/3 + w**2\/2 - 10*w + 47. Let s be u(k). What is the greatest common factor of s and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15*50\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1410, 2, -3, -146 in ascending order.\nAnswer: -146, -3, 2, 1410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**4 + 8*j**3 - 2*j**2 - 8*j - 3. Let y(v) = -v**3 - v**2 + v + 1. Let o(u) = -d(u) - 3*y(u). Find p, given that o(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2828, -2823, -2816, -2807?\n\"Answer: n**2 + 2*n - 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352534 - -20?\nAnswer: -352514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 631770.9 kilometers?\nAnswer: 631770900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 636 = 748 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 10*s + 5. What is the remainder when 9 is divided by y(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 9*i**2 - 32*i - 272. Let z be f(-9). Solve 3*v + 5*m = z, 0 = -4*v - 3*m - 2 + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 4*h - 4. Let l be (-1 - 0)\/(2\/(-4)). Let q(z) = 2*z**2 + 0*z**2 + 3*z**2 + 1 - z - 4*z**l. Give -c(j) - 4*q(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 42 = -0*f + 2*o, -2*f + 4*o = -40. Calculate the common denominator of -37\/79 and ((-90)\/(-27))\/(f\/24).\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*-5)\/sqrt(10)*4*-2.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.17, -4\/1517, -3, -5\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433867 divided by -5.\nAnswer: -433867\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**4\/12 + l**3\/6 - l**2\/2 + 177*l + 100. Let n(j) be the first derivative of r(j). Calculate n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6747\/19 and 146.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 13*b - 47 - 0. Suppose -4 = 3*r + 8. What is the remainder when b is divided by 3\/r*24\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*n + 8, 3*d + 20 - 8 = 0. Solve -3*i + 10 = -n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20786903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 8287572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8263 is divided by 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 764876851 to the power of 1\/2, to the nearest integer?\nAnswer: 27656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33\/190 + -1\/38. Suppose 1 = 2*y - d - 0*d, 3*y - 5 = 5*d. Suppose y = 2*v - 6, 3*l = l - 5*v + 17. Which is greater: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.2986, 3\/5, 2\/7, 11, 12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 794641718 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0503, 0.1, 835?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65865.\nAnswer: 3, 5, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -24 - z**2 + 118*z - 1 - 106*z. Let k be b(9). Suppose k*n - 3*v = 391, n - 4*v - 196 = -2*v. Calculate the remainder when n is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1393 + 3231. Calculate the least common multiple of t and 2.\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 13 = -8*f. Suppose 7*u - f*u = -30. Solve -u*w - c = -4*c - 12, -5*w + 4*c + 11 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.2 + 9.9. Put h, 3\/7, 13 in decreasing order.\nAnswer: 13, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 12. Let i be (1 + (-24)\/30)\/((-1)\/(-5)). Let u = -1 - -0.9. Which is the biggest value? (a) -1\/4 (b) f (c) u (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 1.5 (b) -1.1 (c) -1 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgpx. Give prob of sequence xp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-5)\/(-30))\/(20\/(-560)*7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/16))\/((b\/b**(-37))\/b)*(b*b\/(b\/(b*b\/b**(-31))))**(-45) assuming b is positive.\nAnswer: b**(-25055\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 14) in base 8?\nAnswer: -5575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.1. Let v = 0.1 - -0.2. Is n smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-38)\/(-2))\/(48\/2448). Calculate the highest common factor of o and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1247097, 2494199, 3741305, 4988415, 6235529, 7482647, 8729769?\n\"Answer: 2*y**2 + 1247096*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from igiyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 2. Suppose -4*r + 14 = -2. Suppose -r*a + 3 = -37. What is the remainder when a is divided by q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8462242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8805155 and -3.\nAnswer: 8805152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:23 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 2 = -4*r, -52 = -3*u - r - 57 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojo when three letters picked without replacement from {o: 6, j: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 18, -2, 1, 0, -1\/5 in increasing order.\nAnswer: -2, -0.4, -1\/5, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 29*a + 38. Let h be d(-28). Solve 11*v - 5*n = 13*v + 6, 5*n + h = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (27 - 49) - 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0*y**4 + 3*y + 19\/2*y**2 + 47\/30*y**6 + 0*y**5 + 7 + 1\/6*y**3. Find the second derivative of b(d) wrt d.\nAnswer: 564*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 309307812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/374 and 13\/136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, s: 2, w: 7, b: 4}. What is prob of picking 1 b, 1 z, and 1 t?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*x - 5. Let m(s) = 13*s**2 - 13*s**3 + 2 + 20*s**3 - 8*s**3. Let t be m(13). Do x and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 3*s. Let n = -11 - -11. Suppose n = -2*f - 3*f + 80. Suppose 4*a = -0*a + f. Give l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4568489 is divided by 2284208?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 1. Let x be c(1). Suppose 2*l - 11 = -1. Suppose 4*s + l - 1 = x. Is s at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - j = 684, -14 - 2 = 4*j. Let s = 1359\/10 + g. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:16 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 12*u**2 - u + 2. Let o be d(-5). Suppose 3*a - o + 5 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -0.5 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 20*v**2 - v + 23. Let t be k(20). Suppose -p - t = -6. Is 261 + (1 - (p - 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -24 - (-4 - -5 - (11 + -1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 14) to base 11.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6822038ml in litres?\nAnswer: 0.0006822038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**4 + 2*s**3 - 8*s**2. Let t(i) = -2*i**4 + 5*i**3 - 16*i**2. Let p(z) = -5*d(z) + 2*t(z). What is the third derivative of p(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -674\/45? (a) 4 (b) -2\/23 (c) 0.2 (d) -4\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318\/(-27)*-6 - (-4)\/(-6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23363 (base 7) in base 6?\nAnswer: 43515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.454, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 12*x**3 + 165*x**2 + 246*x - 72 = 0.\nAnswer: -12, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -22*a + 60. Let n be y(12). Let q = -192 - n. Let u = -35\/124 + 1\/31. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-273)\/26*(-52)\/3. Suppose -28 - h = -5*k. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 15*l**3 + 12*l**2 - 60*l.\nAnswer: -3*l*(l - 5)*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/210 + m**4\/4 + 22*m**3\/21 + 1220*m**2. Factor z(s).\nAnswer: -2*(s - 22)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3930.999979556 + -3931. Round g to 7 dps.\nAnswer: -0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 182. Suppose 3*r - r - 5*d + 6 = 0, -4*r + d = -6. Let l = b + r. Solve 5*t + 3 = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 11*x + 6*d - 11*d - 71 = 9, 4*d = 8 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32658\/7 + (-392)\/(-686) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 131352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102111101 (base 3) in base 4?\nAnswer: 2002330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 107*g + 363 = 0, -2*r - 8*g - 8*g - 9*g + 16 = -21*g for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3304899 and 80051998.\nAnswer: 720467982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.1352?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 766 + 2482 - 962 - 754.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 38?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.055 - 0.055. Let k = -16.89 - 0.11. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 minutes after 10:27 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387268531.\nAnswer: 3, 79, 193, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1007\/(-159) - 4\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/37, 0.7387, 0.135 in increasing order.\nAnswer: -1, 2\/37, 0.135, 0.7387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, 13, 4, 1, -2, -151 in increasing order.\nAnswer: -151, -2, 1, 3, 4, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44868023 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -12 + -9 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12846*g**5 - 149*g**2 - 2 wrt g?\nAnswer: -770760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) -2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 155, 150, 133, 98, 39, -50, -175?\n\"Answer: -n**3 + 2*n + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050619 is divided by 186404?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 105*y**2 - 5*y + 519. What is p(105)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*x - 3 - 1 = -367*x, 0 = 3*n + 6*x + 165 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -69, -134, -225, -348?\n\"Answer: -l**3 - 4*l**2 - 26*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 187. Suppose 66*z - i*z - 12760000 = 0. Round z to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300*107309.\nAnswer: -139501700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -992965, -1985460, -2977953, -3970444, -4962933, -5955420?\n\"Answer: d**2 - 992498*d - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 3*i**4 - 3*i**4 + (0*i - 2*i + 0*i)*(-24*i**3 - 15*i**3 - 8*i**3) to h*i + t*i**4 + c*i**3 + z + f*i**2 and give t.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**3 + 0*d**3 + 22*d + 3*d**3 as c + x*d + j*d**2 + h*d**3 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:11 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*v**3 + 724*v**2 + 3735060*v?\nAnswer: -2142*v + 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9046, -17937, -26788, -35599, -44370, -53101?\n\"Answer: 20*b**2 - 8951*b - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288101674?\nAnswer: 2, 41, 137, 114661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0*h - 29 + 2*h.\nAnswer: 2*h - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-12)\/(-4))*-11. What is the greatest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/13)*l)\/l)\/l*l**5)**(-23)*l**5\/((l**(-4)*l)\/l)*((l\/l**(4\/7))\/l)\/l**(-1\/3) assuming l is positive.\nAnswer: l**(-23690\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Let f(v) be the third derivative of 17*v**5\/60 - 11*v**3\/6 - 11*v**2. Let o(a) = -9*a**2 + 6. Let l(t) = 6*f(t) + 11*o(t). Give l(z(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - r**2 + 0*r**2)*(-39 - 56 - 73).\nAnswer: 672*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/(1\/78). Let g = f - -170. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 - 202\nAnswer: -201.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -9 - (0 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)\/x*x**(4\/5)\/x*x)\/((x\/(x\/x**(4\/5)))\/((x\/((x*x**(-2\/11)*x)\/x*x)*x)\/x)) assuming x is positive.\nAnswer: x**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 2 - 6 + 10*o wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*y, -2*k + y = -k - 4. Solve 0 = -2*f + p + 8, -4*p = k*f + 3 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401712?\nAnswer: 2, 3, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-11)*(-50820)\/(-10395). Let -5\/2*u**3 + v*u**4 - 1\/6*u**5 + 8\/3*u - 4\/3*u**2 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.5, -18, -2\/9, -29?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -699 (base 16) to base 5.\nAnswer: -23224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 - -288. Suppose -5 = 4*f + 4*y + 7, 0 = i*f - 3*y - 9. Solve -4*u + 2*b = -10, f*b + 2*b = 5*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 + 326. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from lcrrcrccnrrlclcrlllc?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544154 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -103335155.\nAnswer: 103335145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 17*q**2 + 17*q + 15. Let j be v(-16). Let b(r) = 9*r + 5. Let a be b(j). Is 17 a factor of 120\/28 + a - (-948)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 26 = 2*o. Let n = -9 + o. Let u be (6\/1)\/(5 - n). Solve -5*r - 14 = -x, -r + u = -x + 3*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 190. Let n be k(-47). Solve -5*y = -n*s + 28, 4 = -4*s - 3*y + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 2*t - 1. Let i be n(1). Suppose -8 = 3*z - 4*c, -z - i*c = 4*z + 52. Is (13\/(-2))\/(z\/112) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 8*c**2 + 4*c**2 + c**2 to the form y + b*c**2 + q*c and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039013317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t. Suppose t = -28*c + 13*c + 181365. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 157 = -i. Suppose -1689 = 21*p + 2784. Let d = i - p. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 - -171. Calculate the remainder when k is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100010000101110111 (base 2) to base 5.\nAnswer: -1001142042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 38500, 0, 161, -1 in decreasing order.\nAnswer: 38500, 161, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/8)\/m**(6\/7)*(m\/m**0)**(11\/6))\/((m**0)**(-3\/23))**(2\/111) assuming m is positive.\nAnswer: m**(101\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -4\/15 (c) -4.2 (d) -1\/3 (e) -0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/40)\/(1\/6) and 8\/12 + (-116)\/(-18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*y = 8872, 0 = 334*n - 330*n + 4*y - 7112. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 5*j - 40 = 0, 5*o = -2*j + 19. Solve -o*y - 13 = 4*u, 4*y + u + 13 = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5108, 5093, 5092, 5111, 5156?\n\"Answer: v**3 + v**2 - 25*v + 5131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 - 3*v - 4. What is y(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210102 (base 3) in base 11?\nAnswer: a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343\/396 - -21\/44. Let t = o + -1\/18. Suppose -3*s + 0 = -6. Put -0.03, s, t in descending order.\nAnswer: s, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.585695 micrometers?\nAnswer: 0.0002585695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b + 16. Let s be (b + (-34)\/(-8))*2. Solve 2*z + 2 + s*z**2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8955006271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*y**3 - 885*y**3 + 248*y**3 + 187*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*v**3 - 69*v**3 + 35*v**3 + (-2*v**3 + 2*v**2 - 87*v**2 - 23*v**2)*(-2 + 0 + 4) in the form y*v**2 + k + u*v**3 + q*v and give u.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16725 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 9773?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -10\/3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) -11\/524 (c) 0.502\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 99. Sort z, 2, -3 in ascending order.\nAnswer: -3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-465*d + 41 + 934*d - 468*d)*(-7 + 1 + 14)*(4*d - 4*d + d**2).\nAnswer: 8*d**3 + 328*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25763 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14)**(-41)*a\/((a*a\/(((a*a\/a**(-27))\/a)\/a))\/a*a)*a\/a**(1\/5)*a assuming a is positive.\nAnswer: a**(-2731\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (2 - 4) + 4. Let w be (888\/8)\/(2 + (v - -1)). Let a = w - -16. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (31 + 26)) + 101 - 32.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 356. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.1, -1, 51\/74, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.027 + -29.973. Let r = -31 - j. Let y = 245 - 245.4. Which is the closest to r? (a) -2\/15 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8647 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 + 42*c - 33. Let h(l) = -6*l**2 - 39*l + 31. Let k(b) = 14*h(b) + 13*i(b). Let x(r) = -8*r. Calculate x(k(v)).\nAnswer: 256*v**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 7*o + 2. Let q be i(-6). Suppose -q = 4*h + 8. Let w = 17 + h. Solve -4*f = c + w, c - 9 = 4*f - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 296 + -2074\/7. Let x(k) = -5*k - 15. Let v be x(-3). What is the closest to v in 0.4, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 184 = 12*z. Suppose -4*s + z = -14. What is the third derivative of 0 - 6*u**3 + 0 - s*u**2 + 7*u**3 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47830 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1102 + 4?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 0 + 0 + (6053 + 4353 + 1682 + 7624)*(3*b**4 + b**4 - 5*b**4) in the form r*b**2 + x*b**4 + k*b + n*b**3 + h and give x.\nAnswer: -19711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*k**3 + 439*k**3 - 1425*k**3 + 478*k**3.\nAnswer: -41*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839824*x**2 - 839831*x**2 + 3*x + 7*x.\nAnswer: -7*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 + m + 14. Let z be j(-9). Let n = 9 - 8. Let c = n + 1. Sort -2, z, c in descending order.\nAnswer: z, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 52494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 8*r**3 - 20*r**2 - 24*r.\nAnswer: 4*r*(r - 2)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1185247, 1185256, 1185265, 1185274?\nAnswer: 1185283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*1*12\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -42. Suppose -10*f = -o*f. Suppose f - 12 = -3*s. Let k(n) = -n + 3. Determine k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let h(v) = -v**2. Let w(d) = -154*d**2. Suppose 3*p - 33 = -3*x, -p = -5*x + 3 + 4. Let q(j) = p*h(j) - w(j). What is q(r(s))?\nAnswer: 146*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207471520 divided by -2.\nAnswer: -103735760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/2 + 8*k + 5. Let d(q) be the first derivative of m(q). Let o(y) = 2*y - 2*y - 2*y. Give d(o(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38.753+-0.3\nAnswer: -39.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 105 = 5*c, -3*c + 63 = -6*c + 5*l. Suppose -239*r + 248*r = 378. Let z = r + c. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 - 14*o**2 + 2 as r*o + l + v*o**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 12 = 9*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 o when four letters picked without replacement from {k: 1, h: 10, m: 3, o: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5*k - 13465*d**4*k - 227*d**2*k - 2*d*k + 101*k + 2 wrt d?\nAnswer: 120*d**2*k - 323160*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22893*m + 10*m**2 - 22962*m - 13*m**2.\nAnswer: -3*m**2 - 69*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 20222001211121?\nAnswer: -20222001211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*r - 14, -r + 6*r = 5*a - 20. Let y = 5 + a. Suppose -2*m + y + 33 = 0. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/611 (b) -10 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from wyyhjjwhyy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 - -244.66. Let a = d - 218.7. Round a to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -24. Let b = 21 + a. Let t = b - -4.003. What is t rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a + 514 = -3109 - 620 + 268 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9935039 * 4.\nAnswer: -7.9740156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 25 = g, -4*g + 2*a + 2*a = 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2172*((-3)\/(-2) - 2). Suppose -5*i - 167 = -3*b - l, 935 = 5*i + 5*b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrrfcfhpphhfhrbprpf. Give prob of picking 2 p, 1 b, and 1 c.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -123626610\/37?\nAnswer: -123626610\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/384 and -73\/480.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148991081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101123, -104822, -108523, -112226, -115931?\nAnswer: -119638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 837*l**2 - 4553*l + 1 wrt l?\nAnswer: 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 0 - (-41 - -69).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 23 + 21 = 2*p, -2*g + 41 = -p. Let a = 65 - g. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q + 2 + 2)*(-1 + 1 - 1 + (-1 - 1 + 1)*(2 - 1 + 0) + (2 + 3 - 3)*(-2 + 0 + 0))*(11 + 10 + 20).\nAnswer: 246*q - 492","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55198 + 236*k**2 - 51*k**2 + 55198.\nAnswer: 185*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + o = -48 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/15*13\/130*-15.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.402 - 0.302. Let w = r - 14.44. What is w rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v**2 + 7. Let t be j(-5). Suppose 3*z = y + 68, -2 = -61*z + 57*z - 5*y. What is the highest common divisor of t and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -518, -1022, -1510, -1982, -2438?\n\"Answer: 8*y**2 - 528*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 4\/(3 + -5). Let r(f) = -4*f - 4 - i*f + f. Is r(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 - 3 = 4*j, 4*h - 32 = 4*j. Let a be 205\/20 + (-2)\/h. Let z be (-114)\/(-15) - a\/(-25). What is the highest common divisor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c + 158. List the prime factors of k(0).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (-13 - (-1 - 2)). Let g be 15\/5 - 4*v. Let k = 39 + g. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**10*(o*o**(-2\/11))\/o*(o**(-3))**(-14) assuming o is positive.\nAnswer: o**(570\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let o(h) = -7*h**2 + 15*h**2 - 12*h**2 - 5*h**2. Determine o(k(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -44 and -474 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2686368 and 3194362.\nAnswer: 3194361.7313632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507a (base 14) to base 7.\nAnswer: 55213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6)**42 assuming r is positive.\nAnswer: r**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7.64755 - 3171.8\nAnswer: -3179.44755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 5*g**5 - 3*g**5 + (-2 + 3 + 0)*(7*g**2 + 8*g**5 - 7*g**2).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 286513.4um?\nAnswer: 286.5134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 5 + -3 + -57 + 91.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10415967 + 2343596779\/225. Let i = l + -166\/9. Let z = i + -17\/175. Which is the third biggest value? (a) 2\/3 (b) -2 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5535528 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.39523 nanograms in tonnes?\nAnswer: 0.00000000000008939523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-3)*3\/(-5)*18. Suppose -2 = 2*z, -3*u + 4*z + 19 = -y. Sort u, -3, 2 in descending order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9259 is divided by 3061.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 2:42 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.114 - 0.724. What is c rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1\/5))\/(l*l**(-1\/8)*l*l))**(2\/63)*(l*l**(-1))\/(l*l*l**6)*l**(-6)\/l*l*l\/(l\/(l\/l**4)) assuming l is positive.\nAnswer: l**(-2383\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44106.\nAnswer: 2, 3, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 times -0.2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:10 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b - 23. What are the prime factors of p(-11)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/102650 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3 - w**2\/3 - 8*w\/3 - 4\/3 = 0. What is w?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000060786 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**5 + 144*h**3 + 1835*h**2 wrt h.\nAnswer: 420*h**2 + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 0 + 0)*(-2 + 1 - 1)*(-2 - 3 + 4)*(3 + 4 - 3) to the form n + y*d and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/352 and 21\/14080.\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58362 = -17*r + 153203. List the prime factors of r.\nAnswer: 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t + 58 - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 19*p + 40. Suppose 3*m + 0*r + 2*r - 41 = 0, -2*m + 4*r = -54. Give f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 762 - 588. Let g be (-100)\/(-6)*l\/(-3). Round g to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2040\/238)\/(-1*4\/28)*6\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 21. Let c = k + -4. Suppose -c*a - z = 4*z - 37, -4*z + 24 = 2*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose 2 = k - c*k. Suppose r - 1 - k = 0. Solve 0 + 12 = -r*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1124.212 litres?\nAnswer: 1124212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (11 - (15 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 627*q - 5592. Determine o(-9).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -2*v**3\/3 - 6484*v. Let k(b) = 129*b - 10. Give i(k(g)).\nAnswer: -516*g + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c - -112?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 e, and 1 u when four letters picked without replacement from cueeceeeee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 5*r + 3. Give l(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*q - 8. Suppose 3*z + 6 = 39. What is the least common multiple of z and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7014251 millennia in decades?\nAnswer: 70.14251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 59 - -45)*7\/(686\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2812196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 + 644*n**2\/3 + 392*n - 5088.\nAnswer: 4*(n - 4)*(n + 6)*(n + 159)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 2. Suppose i*v - 4*v = 0. Factor v*k**2 + 0*k**2 - 3*k**2 - 4*k - k**2 - k**3.\nAnswer: -k*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)*l\/(l\/l**23))\/(l**(-16)*l*l*l\/(l**(-21)\/l*l)))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - 2. Let a(r) = -2*r**3 + 13*r**2 - r - 9. Let u(x) = a(x) - 3*w(x). Let n(l) = l**2 - 9*l - 172. Let v be n(18). What is u(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 399.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 28. Suppose -3*n - v = 1, -n + 35 = p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1045896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10020 - -10074.981. Let j = u + -55. Let i = j - 0.981. Is 0.3 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, d: 2, x: 4, b: 3, y: 1}. Give prob of picking 1 d, 1 y, and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1348 + 3285. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -980*j**4*o**3 + 19*j**4 - 4*j**2*o**3 - 96*j**2*o + 9*j*o**3 wrt j?\nAnswer: -23520*j*o**3 + 456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = -l. Let x = -10 - l. Suppose p = -5*d + 2099998, 4*d - x*p - 198323 = 1481681. What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2462947 = -259*w - 820887. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -221*(-4)\/(-104)*2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 1403?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -1 - 0) + 73. Suppose 60 + o = 2*u. Suppose -6*h = -h - u. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 880*v**3 - 72600*v**2 - 2662000*v - 36602500.\nAnswer: -4*(v + 55)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**5*z + 173*c**2*z**2 + 2*c*z**2 - c*z + 7*z**2 - 9 wrt c.\nAnswer: -240*c**3*z + 346*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220756 is divided by 378?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -0.143, 21, 3, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42678 and 360?\nAnswer: 853560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*z = 9, 0 = 4*h + 5*z + 20 - 48. Let y(q) = q**3 - 3*q**2 - 6*q + 1. Let a(c) = 2*c**3 - 5*c**2 - 13*c + 1. What is h*a(b) + 5*y(b)?\nAnswer: -b**3 + 9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 354 and 91450.\nAnswer: 274350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8138 - -8136.8. Which is the smallest value? (a) 0.4 (b) x (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:07 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 9*f - 29. List the prime factors of i(-16).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120031 (base 5) to base 12\nAnswer: 265b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 20. Let o be c(11). Let n(u) = 45*u - 5. List the prime factors of n(o).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848 (base 13) to base 2.\nAnswer: 10110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-2 - -9) - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let p(v) = -9*v**2 - 5*v - 15. Let w(f) = 11*f**2 + 6*f + 18. Let n(r) = -6*p(r) - 5*w(r). Give 6*n(u) - 7*x(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*b**2 + 22*b**2 - 592*b - 2274 + 32*b**2 + 27*b**2 - 1674.\nAnswer: -4*(b + 7)*(b + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 - 113. What is the remainder when 245 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 2701120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*d, -4*w + 2*w - 2*d + 12 = 0. Let g(h) = -h**3 - 5*h**2 + h + 3. Let y be g(-6). Calculate the highest common factor of w and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**4 - x**2)*(30*x + 20*x - 6*x + 16*x).\nAnswer: -60*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*9*4440\/810?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1466, 1466, 1464, 1460, 1454, 1446, 1436?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7165 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:32 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.033.\nAnswer: 0.00165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.9937, -0.5, 5, 8\/9?\nAnswer: -0.9937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 12:24 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -24. Let n(j) = j**3 - 5*j**2 - 5*j + 3. Let l be n(a). Let o = 16 - l. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (0 - -5528)*(10\/1 + (-95)\/10) and 14.\nAnswer: 19348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = j - 5*l + 10*l - 399, -4*l - 1589 = -333*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -505410.6200331 + 505409.8. Let x = k + 0.82. What is x rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*(16\/(-24))\/(96\/(-126))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 131.\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p**3 - 10*p + 11. What is the tens digit of i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79240711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26482.4 greater than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50672153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89440679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1736 and 18956?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/(-4))\/7*1*-6. Suppose 11*c = a*c + c. Suppose 5*x = -c*x + 30. Solve x + 9 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 4*x - 2. Let p = 1280 - 1283. Let g(o) = 10*o**2 + 11*o - 5. Determine p*g(z) + 8*c(z).\nAnswer: -6*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-1)*q*q)\/q*((q*q**(-2\/5))\/q)\/q)**(-1\/38)*q**(-4\/19)*q**49 assuming q is positive.\nAnswer: q**(244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/30 - 3800078\/(-510) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10460 + 17697. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 2*x**2 + 26 - 17 - 10.\nAnswer: -5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(143)*2)\/(5*((sqrt(44) + sqrt(11) - sqrt(11)) + sqrt(11))).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/108)\/1*-1*(-6)\/(-12)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**2 - 544 + 346*v**2 - 173*v**2.\nAnswer: -19*v**2 - 544","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12710.095 to the nearest 10.\nAnswer: -12710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -551 + 551.1. What is the nearest to t in 4, 3\/7, -36?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from 33331.9139.\nAnswer: 33331.7439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/4, 122788, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 61200 - 255402 = -259*z. Let w be (123 + 0)*(-11)\/(-33). What is the highest common divisor of z and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -29. Let r be 0\/(-2)*(-2)\/(-4). Suppose 2*m - 22 - 4 = r. Calculate the remainder when c is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48946201\/891 - -54934. Calculate the common denominator of n and -17\/297.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 356, 347, 334, 317?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1390\/(-87) - ((-168960)\/(-120))\/(-88)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcgcmaccmagccmmcgccc. What is prob of sequence gg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*x - 8, 2*x + 17 = -5*r - 0*x. Let l(f) = -f**3 - 3*f**2 + 3. Let n be l(r). Let k be ((-30)\/2)\/(-2 - -4 - 5). Solve 18 - n = -k*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97846.57mg in grams?\nAnswer: 97.84657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-36)*(16 + -7). Suppose 7*h + a*b - 17 = 2*h, 3*b - 18 = -5*h. Solve h*w = 4*g + 23, w + 3 = -3*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryyywddadwrayywrawa. Give prob of picking 1 d, 1 w, and 1 a.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**4\/12 + 5*z**2. Let y(l) = -14*l**2. Give y(k(c)).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + -10001010101010?\nAnswer: -10001010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 22. Let o be d(-22). Suppose o = m, -m - 1 - 23 = -3*t. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 5*n + 9. Let z be q(4). Suppose 4*s**z - 7*s + 12*s**4 - 3*s**4 - 1 + s - 8*s**2 + 2*s**3 = 0. Calculate s.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -12, 0 in descending order.\nAnswer: 68, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {x: 6, k: 3, q: 6, a: 2, p: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4347*o + 126575 wrt o?\nAnswer: -4347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257757515 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 343*t**5\/5 - 98*t**4 + 56*t**3 - 16*t**2 - 39*t - 3. Determine x so that g(x) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176, 651, 1486, 2717, 4380?\n\"Answer: 6*x**3 + 144*x**2 + x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6072 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 872 (c) 2\/15 (d) 3 (e) 164 (f) 2\/3 (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18195437141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-140)*7\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1496*l. Let b(a) = 237864*a. What is 6*b(m) - 952*u(m)?\nAnswer: 2992*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18620 = 54*j + 86*j. What is the remainder when 455 is divided by j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 17 = -3*c, 2*d - 5*d + 18 = 3*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*c = 124*c - 3630. Let a be 8\/(-6) - c\/(-99). Let u = -2 - -6. Sort 0, u, 2, a in descending order.\nAnswer: u, 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485900 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2224 - -3258. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + -2.09. What is the closest to 1 in -2\/7, x, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksksksskkkk. Give prob of picking 3 k.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 494680 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: Three letters picked without replacement from {x: 4, e: 1, f: 3, a: 2, w: 3, s: 2}. What is prob of sequence awf?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3688, 16464, 38330, 69286, 109332, 158468?\n\"Answer: 4545*x**2 - 859*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 + 277. Let q be (18 - 12 - g) + 125\/(-1). Round q to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, 0.5, 57?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20409*b + 65*b**2 - 20417*b + 3 + 40834*b to m + i*b + l*b**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.083 (c) 6\/11 (d) -3\/4 (e) -314 (f) 421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 12*v + 2. Let r be o(0). Solve 5*s + 3*f = r*f + 22, -5*s - 4*f = -28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410201 + 1241134?\nAnswer: 330433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.085396 hours to minutes.\nAnswer: 305.12376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k**(-2))\/(k**7\/(k*k*k**(1\/4)\/k)))**16 assuming k is positive.\nAnswer: k**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110301 - 12042?\nAnswer: 43204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2407601 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*l + 200*l + 1 - 1.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 + 284134*w + 6*w**3 - 284134*w.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 - q**2 + 22*q**3 - 8*q**3. Let l = -12 + 11. Determine i(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 2, w: 2}. What is prob of sequence xt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 40*y**2 + 10 + 51*y**2 + y**3 + y. Let m be u(-10). Let c = m + -57. Solve 0*s + c*s + 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t**3\/3 + 3*t**2\/2 + 3*t - 2605. Let a(x) = -8 - 6*x + x**2 + 1 + 4*x**2. Calculate 3*a(s) + 7*q(s).\nAnswer: s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -579*k**6\/2 - k**3\/3 + 265*k**2 - 641. What is the third derivative of r(x) wrt x?\nAnswer: -104220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**3 - u**2 - u + 1. Let m(w) = 53*w**3 - 4*w**2 - 7*w + 4. Let d(l) = 6*k(l) - m(l). Give d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 15780*l**2 - 26853996*l + 14580573696.\nAnswer: -3*(l - 2054)**2*(l - 1152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*k - 2*k - 182*k.\nAnswer: -228*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261674*a**4*n - 2*a**4 + 2*a**2 + 27370*a*n wrt a.\nAnswer: 6280176*a*n - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61755 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56179 by -380.\nAnswer: -56179\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -23*r**2 - 31*r - 234. Let l be w(-9). Let p = -12776\/7 - l. Find the common denominator of p and -58\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11426 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 5. Let j(k) = -3*k**2 + 4. Let u(h) = -5*j(h) + 4*w(h). Let c(n) be the third derivative of n**5\/60 + 2*n**2. Give c(u(t)).\nAnswer: 49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from hzzhhhhhzzzhzzhhzz?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, 5, 172, 19, 4 in increasing order.\nAnswer: -0.4, 4, 5, 6, 19, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + 0.62. Which is the third smallest value? (a) k (b) 4\/5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggdheegdg. What is prob of picking 3 d and 1 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 18. Suppose 0*j = -3*j. Let v be j + 0\/(-3) + 7. Calculate the highest common divisor of w and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28630\/286300 - 1062\/20.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:06 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75\/(-300)*(1 - -1 - -1). Suppose -9 = -3*h - 0. Suppose 2*j = h - 11. Which is the closest to 1\/6? (a) 1 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -398*m + 694*m - 409*m + 3 to u*m + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7161 and 16896?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goiii. What is prob of sequence igii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*a - 133*a**3 + 236*a + 164*a - 18*a**3 wrt a?\nAnswer: -906*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 + 5*x**2 + 1142*x + 324. Let z(c) = c**3 + c**2 + c - 1. Let h(o) = k(o) - 5*z(o). What is the first derivative of h(q) wrt q?\nAnswer: -3*q**2 + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683466995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-12))\/((-4 + 7)\/(-9)). Let n = -5 + 4.92. Let k = n - 3.92. Which is the second biggest value? (a) k (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 980904 and 66?\nAnswer: 10789944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17789310 divided by 95130\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -20*m + 64. Let t be u(4). Let f(h) = -h**3 - 17*h**2 - 20*h - 29. Let x be f(t). Which is the closest to -1\/4? (a) 0 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -14. What is the biggest value in -5, 0, w, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 32\/5*d**3 - 58\/5*d - 1\/5*d**4 - 89\/5*d**2.\nAnswer: -d*(d + 1)*(d + 2)*(d + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3256737 and -25\/6217407?\nAnswer: 68391477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 3*a - 15. Let b be h(6). Solve 2*g + b*g = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 1699.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176239261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 - 115380*k - 10075905 = 0 for k.\nAnswer: -87, 23163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 z when four letters picked without replacement from {l: 1, z: 12}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103243806.1 and -5.\nAnswer: -103243811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.723 times -15?\nAnswer: -70.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4702 is divided by 114.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2030\/(-112)) + -20?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/3)*o*o**(2\/15)*o**(-2\/3)\/o*o**(2\/23) assuming o is positive.\nAnswer: o**(76\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 + 2*l - 17. Suppose -7 = -0*j - j. Let d be m(j). Suppose d*q = 49*q. Solve -4*i - 27 = 3*x, 4*x = -q*x + i - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -54*a**3 - 2*a**2 + 1. Let l(h) = -16*h. Let v be l(1). Let y = v - -34. Calculate the remainder when u(-1) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 (base 15) in base 16?\nAnswer: d54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - 13 - (5 + (-275)\/30). Let v be ((-24)\/(-16))\/(2\/(-4)). Let s be (-6)\/42*(0 + -3). Which is the second biggest value? (a) t (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899932.6 years in millennia?\nAnswer: 899.9326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o + 127 - 66 + 4*o**2 - 3*o**2. Is l(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x + 2*x**2 - 5*x**2 + 23*x)*(5*x**3 - 3*x**3 + 6*x**3).\nAnswer: -24*x**5 - 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 3*k - 9 + 2*k + 0 + 54.\nAnswer: -k + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)*x*x)\/x*x*x*x*x*x*x\/(x*x\/(x**(-2\/49)\/x)))**4 assuming x is positive.\nAnswer: x**(6592\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4, 4*o = 5*m - 2*m + 5. Suppose -2*l = -t - 7, l + o = 2*t + 4. Let a = 1583 + -1585. What is the closest to t in a, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820867580 to the power of 1\/3, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 + 5*j**3 - j**3)*(951 + 676 + 7 - 52) to q*j**2 + d*j**3 + k + v*j and give d.\nAnswer: 3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3*y + 2*y - y.\nAnswer: -2*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 479, 503, 555, 641, 767?\n\"Answer: y**3 + 8*y**2 - 7*y + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.3. Let d = -35 - -26. Let i = d - -10. What is the second biggest value in i, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 4*l - 113. Let o be v(9). Suppose o*k = 19*k. Solve k = -3*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2795)\/(-3913) - 5712\/7791?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 0*a)*(5 + 1 - 2)*(-2*a - 2*a + 0*a)*(-4*a + 0*a + 3*a).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206580307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8104, 7750, 7162, 6340, 5284, 3994?\nAnswer: 2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 436 and 10.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 71.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 10*f**2 - 15*f + 7. Let r be v(3). Calculate the common denominator of 109\/r - (5 - 9) and 137\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*o**2 - 3934*o + 3934*o + (31*o + 82 - 82)*(-o + 4*o - 4*o) to q*o**2 + b + g*o and give q.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 34*y**2 + 31*y - 63. Is c(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/27*(-207)\/(-46). What is the nearest to -0.1 in -5, z, -95, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (600\/224 - (-25)\/(-20))*(-42)\/(-15). Suppose -3 = -2*p + p. Sort 5, p, -1, n in descending order.\nAnswer: 5, n, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(-750)\/225.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((1 - 4) + 15 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - (0 + 16 - 18)) + (-5 - -13)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1902, -14894, -50084, -118572, -231458, -399842?\n\"Answer: -1850*s**3 + s**2 - 45*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 2396 - 11030 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (388\/(-6) + 4)\/(2\/(-6)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23511386 by -116393.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/7 - 1070*t\/7 + 10600\/7.\nAnswer: (t - 1060)*(t - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3061 - 3056. Solve 2*m - 4 = b - 5, 3*m - x*b = -12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19333*w**2 - 22330*w**2 + 2971*w**2.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/80 and -33\/4077200.\nAnswer: 4077200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86984 divided by 332.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-606)\/(-8)*6\/(54\/(-33)). Let t = 278 + p. What is the nearest to -49 in t, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-6)\/21 + 4941\/21. Is (-38326)\/(-18) + (k\/(-45) - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -72449*i - 434618. Calculate s(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzy when three letters picked without replacement from {z: 3, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6 - -2)*(-2)\/3. Let v = -1.4 - -1. Let m = v - -0.3. Which is the nearest to g? (a) m (b) 0.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/27 and -62\/705.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3 = 0, -3*x - 35 = 2*f - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**6 - 335*o**5 + 3102*o**2?\nAnswer: -360*o**3 - 20100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -43000 to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/321, -0.0218, -1\/5 in descending order.\nAnswer: 4\/321, -0.0218, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601900613?\nAnswer: 601900613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5)*2)\/28*6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n - 21253 = 8599. List the prime factors of n.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 - 12*f**4 - 3*f**3 + 12*f**2.\nAnswer: 3*f**2*(f - 4)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -10, 293, 5, 31 in ascending order.\nAnswer: -15, -10, 0, 5, 31, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3 + 12. Suppose -x = 4*b - 1, 3 = -3*o - 3*b. Solve -2*d + 12 = -4*s, -3*d + o*s + 9 = -3*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355 and 147580955?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-1)*g)))\/(g*(g**(-1\/13)\/g)\/g))\/(g**(-3)*g*g**(-1\/3)\/g))\/(g**(2\/7)*g\/(g\/(g**(-1\/3)\/g)*g))**21 assuming g is positive.\nAnswer: g**(1849\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 6. Let w be (-32)\/80 + 172\/5. Let j = w + -26. Calculate x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-6*1*sqrt(275) - sqrt(275)) + 2)*-4)**2.\nAnswer: -2240*sqrt(11) + 215664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-229824)\/128*(-420)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from aaakaakaak.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 1, e: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 3. Let y be t(0). Sort y, 4, -1.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*r**3 + r**3 - 10*r**3)*(-10*r**2 - 2*r + 21*r**2 - 6*r**2).\nAnswer: -120*r**5 + 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3756)\/108 - 9\/(891\/(-22))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -499289?\nAnswer: -499289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 912\/(-399) + (-338)\/(-154)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Is 24 a factor of 146 - n\/(-8)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiiaainaaiaaaaiaaia. What is prob of sequence aiia?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-352)\/8 - 1265046\/(-28737).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 129*n + 4. Calculate the lowest common multiple of (-396)\/726 + (-83)\/(-11) and x(4).\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 10227472?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -5 (d) -155 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54768, -57054, -59340?\n\"Answer: -2286*m - 52482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 188.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 + 1 - (0 + -1 - (-206 - -214))) + -5?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 2016961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from qqppqqmqqqcmccq?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-59418)\/3)\/(1\/(-2)). Let p be (-113511)\/(-9) + 2\/(-6). Suppose 3*z + p = v. What is z rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j - 8. Let p be (-30)\/(-5) + (-52)\/4. What is a(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 - -6. Which is the third biggest value? (a) r (b) -3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-5 + 3 + sqrt(27))*4 - (sqrt(6) + -3*sqrt(96))\/(-2*sqrt(2)*-3)))**2.\nAnswer: -249*sqrt(3) + 7861\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97433517?\nAnswer: 3, 1063, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1434*v**2. Let q(k) = 40*k. Determine p(q(x)).\nAnswer: 2294400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*k + 55*k + 213 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4539?\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t. Let r be ((-27)\/(-90))\/(12\/5). Let d(i) be the third derivative of -7*i**2 + 0 - r*i**4 + 0*i + 0*i**3. What is c(d(x))?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 4*p - 2*f, p + 3*p - 4*f = 276. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 12. Determine k(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-18))\/4*4\/(-2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 20*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*3 - sqrt(132))\/sqrt(12) + sqrt(22)\/sqrt(50).\nAnswer: 11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/7 + 48568116*d**2\/7 + 97136238*d\/7 + 48568120\/7 = 0.\nAnswer: -1, 24284060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x + 1 - 21. Let v(k) = -3*k**3 - 5*k**2 + 2. Let f(c) = -4*c**3 - 6*c**2 + c + 3. Determine x*f(a) - 3*v(a).\nAnswer: a**3 + 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64895485 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 3*t - 3*t - 1 + 3*t + t**2. Let i(o) = -3*o**2 - o. Let x be i(-1). What is w(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 170, 171, 172, 173?\n\"Answer: m + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643 - -0.5?\nAnswer: -1642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from {n: 2, p: 2, r: 1, i: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7 + 2 + 6*k + 272*k**2 - 268*k**2 - 7*k**3. What is the units digit of b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Let f = 0.1 - -0.3. What is the nearest to 0 in 5, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 3. Let w = -1103 + 1109. Let y(n) = 3*n - 1. Give w*m(b) + 17*y(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161763564 + 457305606258\/2827. Let m = p + -50\/257. Find the common denominator of 21 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 + 377. List the prime factors of t.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = -0*c. Suppose f**2 - 2*f - 4 - 3 + c + 4 = 0. What is f?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -44*n + 16*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2. Let k(s) = 1329424*s**2. Give k(f(d)).\nAnswer: 107683344*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 - -238 - (-3804)\/132.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1052.62 to the nearest 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.054 (c) 4 (d) -3\/4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44608 rounded to 2 decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-1))\/((-3510)\/1053)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-39)\/(-6) - (-70)\/140?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, h: 1, s: 2}. Give prob of sequence ssa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 100 - 69 - 7*p + 250.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.29, 22.47, -0.5?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 30.959. Round l to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 3 in descending order.\nAnswer: 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + c - 11 = 0, 2*c = -4*l - 0*c - 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(5\/13))**(-12) assuming c is positive.\nAnswer: c**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 184.4037 minutes?\nAnswer: 3.073395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3775163*z**3 - 2*z**2 - 7446290 wrt z.\nAnswer: -22650978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 20*h**4\/7 + 37034*h**3 + 2047016*h**2\/7 + 525558*h - 388620\/7 = 0.\nAnswer: -12954, -5, -3, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3458780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 3198990?\nAnswer: 3198990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860 = 24*m + 35*m - 84 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from mhhhmhe.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 + -536 - (-1 + 3 - -19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-six fifths of a millisecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16.63. Let s = -0.11 - l. What is s rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48.4 - -48.093. Let l = j - -0.287. Which is smaller: 1\/26 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28743400 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l - 511 + 133 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 517b8?\nAnswer: -51806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -3\/23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 + -215 - (-2)\/((-6)\/(-1797)) is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y**2 + 128*y - 1118. What is j(-13)?\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168741 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 59?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 15*y + 41*y + 90*y.\nAnswer: 138*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4645, 9720, 14787, 19840, 24873, 29880?\nAnswer: 34855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/6 - 87*w\/2 + 837 = 0. Calculate w.\nAnswer: -279, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b - 12. Let h(f) = 102*f - 705. Let s(v) = -25*v + 169. Let d(z) = 5*h(z) + 21*s(z). Determine -6*d(p) - 13*g(p).\nAnswer: -p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*x = -296*x + 156*s - 474, -3*x + 0*s + 9 = 5*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 128*k - 134*k - 2*v, 14*k + 138 = 8*v for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21 + (-19416)\/(-16))\/((-6)\/(-32)).\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 59.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*q - 1751*q + 577*q = -628*q - 2870 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -24. Sort 8, u, -4.\nAnswer: -4, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/400)\/(3654\/(-672))?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-86492)\/(-308) + 34\/187. Solve -l + 287 = -k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 26.97803 millilitres?\nAnswer: 0.02697803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, 4, 721?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q + 13*q - 99*q + 2*q**2 - 1990*q**3 + 1995*q**3 to the form x*q**2 + l*q + n + t*q**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -5, -7\/4, 0.017, 3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -11. Let f be (100\/(-6))\/(4\/k). Solve 0 = -2*n - 3*n - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630622 and 21125837?\nAnswer: 42251674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12552 + 18692.7. What is z rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2633.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - j**3 - j**3 - 165*j**3 + 530*j**3 - 112*j**3 + 351*j**3 + (j + 1 - 1)*(5*j**2 + 3*j**2 - 6*j**2).\nAnswer: 604*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -396 and 0.4.\nAnswer: -395.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4116 + 1322 - 15*j + 2794.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 452.5614 millennia in years?\nAnswer: 452561.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/16687 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:40 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.5 + -39. Let t be ((-405)\/330)\/(2*3). Let n = 5\/11 + t. Which is the closest to n? (a) 1\/2 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -492 + -10d906?\nAnswer: -10dd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323443 (base 12) in base 16?\nAnswer: c1cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -33*x - 25. Let h(f) = 32*f + 26. Let p(m) = 4*h(m) + 5*v(m). Find the first derivative of p(q) wrt q.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 1209.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 25) + 20 + -6*2. Sort -1, -2, r, 0.\nAnswer: r, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 38 + 17 + 13 + 18)*(15*r + 22 - 22).\nAnswer: 1395*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:50 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:26 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -2*sqrt(19)) + -2 - sqrt(19) - (sqrt(228) + 2*sqrt(228) - sqrt(228))\/sqrt(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - (-78 - (42 + -78))) + 135?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abaaaabbababaaaacaaa. What is prob of picking 3 b and 1 c?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 719.62 + -713. Let t = s + -6.62. Which is the third biggest value? (a) -0.1 (b) t (c) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(10) - sqrt(10))*-5)\/(sqrt(2)*-2*5 + sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 + -4.1. What is the second biggest value in -0.3, c, -2\/13, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i - c - 132 = 0, 5*i = -c + 344. What is the lowest common multiple of i and 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110110 + 10?\nAnswer: 10010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -1 - 27) + 5 - 24?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*m + 35. Let l be ((-18400)\/(-2))\/(m\/60). Round l to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1\/(-1) - -1). Suppose s - 4 = -f*s. What is the first derivative of 1 - j**4 + 2 + j**4 - 3*j**s wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from vatktkmgvkgkk?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1475930*b**3 + 12*b**2 - 11*b + 4. Is m(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 6, -2, 0.\nAnswer: -14, -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - r + 3, 0 = -3*k - 8*r + 6*r + 6. Solve 2*f + k*f + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*i - 10, -5*i - 222*l + 26 = -221*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 82*g**2. Let i(v) = 4*v. What is n(i(p))?\nAnswer: 1312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/7 + 146*v**3\/7 - 432*v**2\/7 + 430*v\/7 - 143\/7.\nAnswer: -(v - 143)*(v - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and -4.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f**2. Let v(i) = 13*i - 11. Let o(u) = 7*u - 6. Let h(s) = -11*o(s) + 6*v(s). Determine h(l(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h - 8 = -2*f, 3*h = 0. Solve 0 = -f*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*k + 30, 80*k - 78*k + 4 = 0. Suppose -28*j - 2*q = -23*j + r, 4 = -5*j - 3*q. Which is the third biggest value? (a) 18 (b) -1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 1581, 1570, 1577, 1608, 1669, 1766?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2235600 divided by -1150.\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 + -0.8. Let o = 107 - 100. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -396933, -1\/3, 2, 8, -7, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*o**1*(o*o**(-8))\/(o\/(o**0*o)*o) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/2*(-8)\/32. Let q(t) = t**2 + 12*t - 12. Give q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 264 = 18*q - y, q - y - 37 = -4*y - 57 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63894 minus -0.2?\nAnswer: 63894.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**3 + 3*k**2 - 3*k - 3. Let r(j) be the third derivative of -17*j**6\/60 + 4*j**5\/15 - 2*j**4\/3 - 8*j**3\/3 - 219*j**2. Give 16*i(l) - 3*r(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1 (c) 1 (d) -0.684 (e) -127\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 2. Let a be 84\/(-2)*7\/(-14). Suppose -5*r = -2*x + a, -4*r = -3*x + x + 18. Let t be m(x). Which is smaller: t or 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:59 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 2\/11 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(65\/(-26) - -2). Solve 23*z = -83 + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 40*i + 9. Let b(r) = r - 1. Let g(o) = -5*b(o) - n(o). Let s be g(-3). What are the prime factors of s\/2 + (-3 - (-21)\/6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 5*v + 45 = -32*u, -4*v = 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(75\/18))\/((-43)\/215) - -10. Solve b = -v*k - 24, 3*b - 4*k - 36 = 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380500 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -101*a + 2034. Give i(21).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2949241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3037027.\nAnswer: 7, 433861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 32*k + 10 - 10.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c. Let z(j) be the first derivative of j**5\/60 + 7*j**3\/3 - 4. Let r(l) be the third derivative of z(l). What is h(r(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/2))\/p)\/(p\/(p**(5\/2)*p))*(p*p*p**(1\/3)*p)**(-15\/11)*((p*((p*p**(-3)*p)\/p*p)\/p)\/p*p**2)**(-42) assuming p is positive.\nAnswer: p**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 + 172. Suppose c*a + 5*g - 36 = 0, -2*g + 14 = 2*a - 28. Let u be (-7)\/1 - (1 - 3). Sort a, u, -2 in descending order.\nAnswer: a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = o - 5*l, -3*o + l - 19 = -0*o. Let p be o\/2*10\/(-25). Suppose 3*z + 0*z = -2*y - p, -5*z - 8 = -3*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4440 - -4?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 - 20*a - 12. Let m be j(-6). Suppose -i + w + 92 = m, 0*w - 2 = w. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*l = 704*l - 72 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 579850 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17371 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21 = -2*v, 4*k - v - 24 = -1. Suppose -2*h - 3*r = 13, k*h + 5*r + 35 = 10. Is h smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from {b: 8, x: 2, s: 2, e: 3, v: 4}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.15, 4\/9, -6\/2315, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 7*g**2 - g**2 + 8*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 579 + 989. Let n = w - 220. Solve -2*o = 2*t - 5*o + 23, -2*o = -n*t - 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 divided by 160?\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2505\/625 + -5 + 1). Suppose -128*j + 561 = -g*j. What are the prime factors of j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13242829\/66 - 571150\/3. Let m = 10269 - c. Calculate the common denominator of m and 27\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.045 and 3409.88?\nAnswer: 3409.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 757 + -752. Let n(f) = -f**3 + 7*f**2 - 6*f - 13. What is the remainder when 23 is divided by n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -28*s - 1101. What is j(-39)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 5*x = -21*k + 20, x + 4 = 3*k. Solve k = 222*o - 216*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**4 - 1\/3*w**3 + 6 + 0*w**5 + 0*w**2 - 4\/3*w**6 + 0*w. Find the third derivative of s(k) wrt k.\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 9 + 14 - 12 + g**3 - 3*g**2. Let n be q(3). What is the highest common divisor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32820143 is divided by 798.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27674 - 525807\/19. What is the third biggest value in u, 19.5, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 9. Let z(b) = -b**2 + b - 2. Let d be z(u). What is the biggest value in -0.5, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 2*l**5 + 2*l**5 - 3413*l - 21*l**5 + 3413*l + (2 - 1 + 0)*(l**5 - 2*l**5 - l**5) + 3*l**5 - 5*l**5 + l**5 + l**5 + 4*l**5 - 4*l**5.\nAnswer: -19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 2986 = 4*v, 1486 = -2*v + 4*w. Let u = v - -1087. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 51*x - 676. What is the remainder when x is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + sqrt(363))**2 + 0)*3 - (-4 + (sqrt(363) - sqrt(363)*-3)**2 + sqrt(363) + 1 + 1*sqrt(363))) + 0.\nAnswer: -11265 + 308*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/21)*o*o)\/o**(-2\/3)*(o**(-4\/3)*o*o)\/o*o*o*o*o**(-3\/5))**(2\/21) assuming o is positive.\nAnswer: o**(136\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 3, i: 2, n: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2565 - x - 5*x**3 + x + 2*x**3 - 1071.\nAnswer: -3*x**3 + 1494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 83*o**3\/6 - 133*o**2\/2 + 116*o. What is the derivative of t(m) wrt m?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*m - 2207 = 874 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156976470*i**3 + 24*i**2 + 209897 wrt i?\nAnswer: 941858820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95663203 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755873*c - 1877901*c - 1877973*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b771 + -61a?\nAnswer: -5c08b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 1.6. Let p be (11 + 3 + -12)*(-6)\/4. Is r at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221\/3 + 73. Let o(b) = b**2 - 4*b + 3. Let x be o(3). Sort -4, z, x in descending order.\nAnswer: x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11435363 >= -11435363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -80*j**5 + 3728*j**4 - 29076*j**3\/5 + 12456*j**2\/5 - 324*j = 0.\nAnswer: 0, 3\/10, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:37 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 + -238. Suppose -1193 = -g - u*i, -3*g + 0*i + 4*i + 3563 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/2)\/(w*w**(2\/11))*(w\/w**(-2\/19))**(-36) assuming w is positive.\nAnswer: w**(-19007\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o + 2*o + o. Let x(w) be the third derivative of w**5\/120 - w**3 - w**2. Let s(k) be the first derivative of x(k). Give s(l(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from vkvvvnvvvkknk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-700)*15\/(-2)*((-3008)\/3)\/(-16)?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+3250.206\nAnswer: 3250.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (25030\/4)\/((-150)\/(-300)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 5*z - 17 = -11*y - 57, 5*z + 40 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 = 7*z. Let t be z\/(40\/(-25) + (-6)\/(-10)). Suppose 0 = -2*k + 5*k + 9. Put k, t, 2 in descending order.\nAnswer: 2, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -q + 9681, 4*q + 188*k - 38772 = 192*k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -17 (c) -4573 (d) 0.1 (e) 4\/23 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 7724 - 19066 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11754560 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4\/(8\/6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 96*n + 812. What is g(18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 437 - 423. Calculate the greatest common divisor of f and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9174 is divided by 744.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 187*x - 177*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxv when four letters picked without replacement from vevvvvexaaxeatx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57434334 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/3450 and 31\/50.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5385 and -11\/4330?\nAnswer: 4663410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 18. Let b = -62 - -44. Let y be j(b). Suppose 3*n - 2070 = -a, 2*a = n - y*n - 697. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 2\/15*j**6 + 0*j**2 + 4*j - 2\/3*j**3 + 0 + 0*j**5 + 0*j**4. Find the second derivative of c(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 456 - -11?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2 + 0*v - v + 6 + 8. Let m be h(10). Solve -4*w = -m*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.34 - 0.34. Let s = 49 - v. Which is the nearest to s? (a) 1\/6 (b) -8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 7*l**2 + 2*l**2)*(-5*l**2 + 10*l**2 + 8*l**2) + (l**2 + 2*l - 2*l)*(0*l**2 + 2*l**2 + 0*l**2) + 2*l**3 - l**4 - 2*l**3.\nAnswer: -38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*p + 160, 52 = -3*u + 2*u - 5*p. Let h = -50 - u. Sort 4, h, 3 in decreasing order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x + 11. Let c(d) = -4*d - x*d + 0*d + 2*d. Let l(r) = -2*r. What is c(l(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 - 18*u**2 - 39*u - 2. Let a(m) = 11*m**3 + 53*m**2 + 116*m + 7. Let q(w) = 6*a(w) + 17*t(w). What is q(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.6 (b) -5 (c) 1\/2 (d) -5\/2 (e) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 6*p + 2. Let j(y) = y**3 + 7*y**2 + 13*y + 4. Let k(n) = -13*d(n) + 6*j(n). Is 21 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -3866.\nAnswer: -3866.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/90 and (-2)\/22 - 2584\/(-314160).\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/64 - 19\/(-4). Factor -2\/7*y**w + 0*y**2 + 0 + 0*y - 2\/7*y**3 - 4\/7*y**4.\nAnswer: -2*y**3*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 3564.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/54)\/(2\/6). Put p, -1, -0.3, -2 in decreasing order.\nAnswer: -0.3, p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 26*a**7\/35 + 61*a**3\/2 + 117*a**2. Find the first derivative of l(k) wrt k.\nAnswer: 624*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 121919.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/356614 and 19\/534921?\nAnswer: 1069842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498, 438, 378?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111725128243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by 2\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16149\/4 - 234125\/58. Calculate the common denominator of s and -29\/36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/75 + (2 - 28\/(-10)). Suppose 76 = -w + 5*w + 4*s, -3*w - l*s + 59 = 0. What is the remainder when 34 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 2076.\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16899817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -1.3 (c) 0 (d) -0.1 (e) -4 (f) -136\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -22*i**3 - 14*i**2 - 54*i - 3. Let g(v) = 18*v**3 + 11*v**2 + 53*v + 2. Calculate -4*f(k) - 5*g(k).\nAnswer: -2*k**3 + k**2 - 49*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 0, -5, 0.16 in descending order.\nAnswer: 0.16, 0.1, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.53, -1\/4, 6?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983909.2 centuries to months.\nAnswer: 1180691040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012003332 - -1023?\nAnswer: -1012002303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s + 0*s)*(184 + 88 + 581).\nAnswer: -3412*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009087000 rounded to the nearest 1000000?\nAnswer: -1009000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3389 = 6*a - 8803. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -55 + 125 + -98.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1329487606 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10111, 41204, 93041, 165628, 258971, 373076?\nAnswer: 507949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrwr when four letters picked without replacement from {r: 2, w: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 396270 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) -5 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158778, 317552, 476326, 635100, 793874, 952648?\nAnswer: 1111422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from {u: 4, f: 7, l: 4}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 + 849 = -19*m - 634 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193809 is divided by 7175?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*6*(sqrt(242) + 0)*2*-1)**2*5*-5.\nAnswer: -3484825 - 13200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j + 30. Is 4 a factor of z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 463.5212946 to two decimal places.\nAnswer: 463.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 58*h**3 + h**2. What is g(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -202 + -2 + 3 + -3. Let i be 3 - ((-2)\/(-2) - y). What is i rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 7*i - 6. Let q be f(6). Suppose q = -2*t + l + 408, -507 - 313 = -4*t + 4*l. Let h = -139 + t. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*j - 553 + 88 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3 (c) 0.1 (d) 0.11 (e) 0.3243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = a - 68, 12*b + 2*a = 428 - 632 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Let q(m) = 3*m - 7*m + 9*m. Determine n(q(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.3, -409, -0.2, 2\/9, -2\/23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -27. Let r = 65 - p. Suppose b - 62 = -3*s, s + 24 = 2*s + 2*b. Solve -r*i - 2*i + s = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 40 = t. Let q(i) = -7*i + 4*i - t*i. Let s(o) = -5 + 5 - 48*o + 50*o. Determine s(q(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -903?\nAnswer: -20\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 6*v - 4*v - 20, -5*i - v + 15 = 0. Suppose i*k + 2 = k. Is 7 a factor of ((-11)\/5)\/(k\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4719086, -4719087, -4719098, -4719125, -4719174?\n\"Answer: -r**3 + r**2 + 3*r - 4719089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 10*q = -16. Sort 9, q, 13.\nAnswer: q, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 8*t**2 - 15*t - 1. Give i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:08 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((4*t + t - 4*t)*(2 + 2 - 2) - 3*t + t - t)*(-1 + 0 - 1)*(-3 + 1 + 1).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 12*q + 3. Let a be i(6). Suppose -3*u + 3*z + 273 = 0, 7*u = 3*u + 3*z + a. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)\/m**(-6))**(-2\/41) assuming m is positive.\nAnswer: m**(-47\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172603911 to the nearest integer?\nAnswer: 13138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 14*f + 11. Let r be c(-13). What is the tens digit of (66\/(-24))\/(r\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3126335931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2239 = 4*p - 237. List the prime factors of p - ((-42)\/(-6) - 5).\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 51. What is the third smallest value in -2, w, -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 36*m + 604. Let g(z) = 43*z + 603. What is -5*g(q) + 6*x(q)?\nAnswer: q + 609","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808*t + 0 - 2 + 4 + 1.\nAnswer: 808*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 176891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 41 - s**2 + 7*s**2 + 3*s**3 - 67. Let g(n) = -9 + n**3 + n**2 - 2*n**2 + 3*n**2. What is -17*g(w) + 6*o(w)?\nAnswer: w**3 + 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*35\/28*(-24)\/(-63)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*d = 12, -4*t = 3*d - 7 - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1833, -2, 3, -7, -3 in increasing order.\nAnswer: -7, -3, -2, 3, 5, 1833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14523955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 17. Let c be -3 + 3 + (z - 1). Let s(f) = -11*f + 1. Does 14 divide s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 2.8. What is the fourth biggest value in -4, 6, 1\/4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/3 - (9 - 468)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15671800 - -5?\nAnswer: -156717a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**7\/840 - 7*c**6\/480 - 3*c**5\/40 - 5*c**4\/24 - c**3\/3 + 61*c**2. Factor r(a).\nAnswer: -(a + 1)*(a + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-151)\/4 + (-2)\/8)\/(-2). Let i(n) = -3*n + 59. What is the least common multiple of 12 and i(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4718 and -1.7679114.\nAnswer: -4719.7679114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2*i - 3)*(-4 + 0 + 2) - i + 6*i + 2*i)*(7*i**2 + 0 + 0) as p*i**2 + x*i**3 + a*i + j and give x.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.6. Suppose -4*w + 2*u = -20, -1 - 5 = -w + u. Let h = -3 - -4. Which is the nearest to h? (a) w (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 343370\nAnswer: -2\/171685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*x - 12 = 0, -5*v + 4 = 4*x - 12. Let o(p) = p**2 - 5*p + 3. Let w be o(4). Is w greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178659665 to the nearest integer?\nAnswer: 13366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18102, -74867, -169468, -301899, -472154?\n\"Answer: m**3 - 18924*m**2 + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c8 - 10?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q\/(((q\/(q**(-14\/9)*q*q*q))\/q)\/q*q))))\/q*q)**(2\/67)*(q**(-4\/3))**50)**(5\/13) assuming q is positive.\nAnswer: q**(-200690\/7839)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 30*l - 293. Calculate b(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-420)*25*1*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p**2 + 130*p + 109. Let x(a) = 27*a**2 + 324*a + 273. Let n(o) = -12*k(o) + 5*x(o). Factor n(y).\nAnswer: 3*(y + 1)*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*c - 1709*c + 577*c + 568*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1237 divide 2520137626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -91116.\nAnswer: 2\/7593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796181 is divided by 25680.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/1 - 0\/(-2 + 6). Sort -5, -13, 1, y in increasing order.\nAnswer: -13, -5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.8 and -9096208.\nAnswer: -9096205.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b + 3*b**2 - 476 + 4*b - 4*b**2 + 2*b + 401. What is a(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13274d + -51a?\nAnswer: -132c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 3\/15*-4 - (-23)\/((-2070)\/(-78372))?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)*c*c**(-2\/9))\/(c*c**(-2\/19)\/c*c*c**5*c)*(c**(-5)*c*c**1)**(1\/35) assuming c is positive.\nAnswer: c**(-35926\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 4287926 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: Calculate prob of sequence gg when two letters picked without replacement from gggggggggggge.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h - 33. Let f be ((-3)\/(-9))\/((-1)\/57). Let d be t(f). Suppose -12*y = -29 - d. Solve -i + 3 = y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 274 and 0.8111.\nAnswer: 222.2414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, -1, -4 in decreasing order.\nAnswer: 17, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 1020. Is 51 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 5. Let i be -1 + -3 - 75\/(-18). Let g(b) be the second derivative of -3*b - i*b**3 + b**2 + 0. What is -5*g(u) - 2*z(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11239868 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 7*x**5\/10 + x**4\/6 - 80*x**3\/3 - 108*x**2 + 8229*x. Find a such that n(a) = 0.\nAnswer: -2, 27\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 8*m - m + 1 + 1 + 4*m**3 + 5*m.\nAnswer: -2*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1335 and 2937.\nAnswer: 14685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1121 and -399056.57?\nAnswer: 399056.6821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p + 1521625 = 38*p + 62*p. Is 37 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9 + 4\/(-6). Let i be (-1)\/(-3) + (-2)\/6. Let b = i + r. Solve -h + 5 = -b*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20191189507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13 and -3573.\nAnswer: -3573.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1508 and -10.\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (7\/(-3) - 8\/24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 8) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-21) - (-6)\/(-14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2514*s**3 - 296 wrt s.\nAnswer: 7542*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n + 5 - 24*n + 11*n. What are the prime factors of v(-3)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0 - (-421 - -404)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168.0046 + 0.0046. Let h = j - -168.000315. What is h rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -58. Suppose -q*t + 5*i + 1410 = 0, 4*i = -4*t - 328 + 1488. Calculate the greatest common factor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -6. Let s = 0 - r. What is the remainder when (-6)\/(-9) - (-58)\/3 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 203, 211, 219, 227?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*q - 1 = 0, 2*f + 3*q = -0 - 1. What is the common denominator of 99\/15 + f\/(-2) and 11\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15117357?\nAnswer: 3, 5039119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 - 4)*(2*n + 2*n - 3*n).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.054627985 + 0.626412\nAnswer: 0.681039985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80922013*g*v + 5776167*g wrt v?\nAnswer: 80922013*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-4*z + 8 - 8) + 96 + 36*z - 96 as c*z + b and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -631*o**5\/5 + 13*o**2\/2 + 38*o + 919. What is the second derivative of h(z) wrt z?\nAnswer: -7572*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 864 - 91264?\nAnswer: -90500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -65 + c**3 - 4*c + 18 + 15 - 2*c**2 + 21. Let y be d(4). Suppose -1 = -2*l + 3. Solve -5*g = -4*g - o + l, -5 = -2*g + y*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168886635 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58272 from -5634.178653.\nAnswer: 52637.821347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -98, 0, -5, 16 in increasing order.\nAnswer: -98, -5, -4, 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -41.62. Let t = d + -0.41. What is the nearest to 0.2 in -0.4, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 88*k**2 + 65*k - 1940. Give c(-87).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2296716 divided by -86\nAnswer: 26706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 + -210.65. Let t = -1.35 + i. Which is the second biggest value? (a) -18 (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2182713390.74 less than 3?\nAnswer: 2182713393.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1.4. Let k = q - -0.5. What is the third smallest value in -4, -2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3156 + -25281\/8. Find the common denominator of -83\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v*v)\/v*v)**3\/(v**(2\/7))**(9\/8)*(v**(2\/3))**(-7)*(v**(-1\/2)\/v)\/(v*v\/v**6) assuming v is positive.\nAnswer: v**(-209\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -29. Suppose i = 4*p - 70 - 78. Does 37 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 18. Let z(w) = -11*w + 18. Let o(a) = -6*m(a) + 5*z(a). Let r be o(4). What are the prime factors of (r\/(-6) + 8\/(-24))*-33?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 29*t**2 - 4*t**4 + 57*t**2 - 24*t**2 + t**3 + 3*t to the form f + i*t**4 + g*t + q*t**3 + k*t**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 - 124*z**2 + 84*z + 19. Calculate the remainder when 246 is divided by r(-42).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -476*m. Let q(d) be the first derivative of -6*d**2 + 5589. Give q(j(u)).\nAnswer: 5712*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -778, -1571, -2376, -3199, -4046, -4923, -5836?\n\"Answer: -a**3 - 786*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*0)\/((-25)\/(-175)*140\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36007 - -7324. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 8 = 0. Suppose 0*z + z - 80 = -4*m, 0 = t*m + 2. Suppose 5*v = v + 48. Calculate the highest common divisor of v and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-15))**(1\/17))**33 assuming z is positive.\nAnswer: z**(-495\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6556 less than -0.77?\nAnswer: 1.8856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3001344 (base 5) to base 2.\nAnswer: -1011011111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -70939, -0.3 in descending order.\nAnswer: -0.07, -0.3, -70939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/((-90)\/955)*(-2)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5 or 601.966?\nAnswer: 601.966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 5 + 0*t + 0 - t**3 + 4 + t**2. Let f(h) = -3*h**2 + 3*h + 3. Determine -f(k) - 3*u(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33843 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xssn when four letters picked without replacement from nsxxssssssssss?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -430 by 86.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 72. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*l**2 - 6*l**2 - 13*l**2)*(296*l + 130*l**2 + 92*l**2 - 297*l) in the form t + o*l**3 + q*l**2 + y*l + r*l**4 and give r.\nAnswer: -2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2, 4 - 5 = 4*u - f. Let t = -46.49 + 44.49. Let m = -1 - 2. Put m, u, t in decreasing order.\nAnswer: u, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgiznnnggngingi. Give prob of picking 1 z, 2 g, and 1 n.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1401 + 1396. Sort 31, 0, a in ascending order.\nAnswer: 0, a, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6*m**2 - 4*m**2 + 6*m**2 + 1.\nAnswer: 8*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o**2 + 37*o**2 - 98*o**2 - 865*o**3.\nAnswer: -865*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -37. Let u be 1*(2 - (-21)\/q). Let o = -0.19 + -0.01. Which is the third smallest value? (a) o (b) -0.03 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380 - 1387 = -3*j + k, 5*j = 4*k - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(3\/5)\/t)\/t*t)**(4\/33))**(1\/4) assuming t is positive.\nAnswer: t**(8\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 (base 10) in base 12?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41350001 (base 7) in base 5?\nAnswer: -1342133443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-30))\/(2\/18). Let l = 12.3 + -9.3. What is the closest to -4 in l, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29167 less than or equal to -24\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/4 + 3*g**2 = 0 for g.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h + 53 - 53.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 5*c**4\/12 - c**3\/3 + 722*c**2. Let f(k) = -1. Calculate 4*f(u) - s(u).\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 26258*g + 315333. Calculate p(-12).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 870905010 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + ((-80)\/25)\/(2\/(-10)). Let p be ((-342)\/27)\/(8\/(-6)). Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.931 decades to months.\nAnswer: 65031.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = 20. Solve f*b - 16 = -4*j + b, -16 = -4*j - 2*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 + 9*c - 90. Let u(l) = -15*l**2 + 23*l - 177. Determine 5*h(i) - 2*u(i).\nAnswer: -5*i**2 - i - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2586, 5222, 7868, 10518, 13166, 15806, 18432?\n\"Answer: -k**3 + 11*k**2 + 2610*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from ccczueccaceaec?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -58, 1 in ascending order.\nAnswer: -58, -19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/372 + -167\/372. What is the fourth biggest value in -6, 0.3, -1, o, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63025989 + 63025989 + 24*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*y**3 + 39*y**2 + 6*y**2 - 178*y**3.\nAnswer: -444*y**3 + 45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 46. Let s be z(-11). Find the second derivative of 6*g**2 - 7*g + 2*g**5 + s + 16*g - 20 wrt g.\nAnswer: 40*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192930 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 3317 - 2*x - 3*x + x.\nAnswer: -3*x - 3317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -2, 7\/4, 245, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 - 575*y - 570 = 0.\nAnswer: -114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*m + 56*m**2 - 784*m**2 + 371*m**2 wrt m.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -23 + z**2 - 1\/6*z**3 - 2*z. Determine p, given that g(p) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/12))**(-8) assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -1. Let g = -1343\/195 + 101\/15. What is the smallest value in g, 1\/2, 7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 36 = 10*w - 31*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -4043083.\nAnswer: -7\/4043083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/25)\/(819\/(-390)). Determine q, given that z + 2\/7*q**2 - 10\/7*q = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from commmccgccocgcmgdt. Give prob of sequence com.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(42)\/sqrt(3))*-3)\/(sqrt(196)\/sqrt(7)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39071146*a**4 + 16192591*a.\nAnswer: 468853752*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 27319, 6, -4, 5 in decreasing order.\nAnswer: 27319, 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-3) - (-9)\/6. Let b = 2.96 - -0.04. Let i = 2.4 - 2.3. Sort b, d, i.\nAnswer: d, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 6:57 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 90*l - 1100. Let w be n(55). Let i = 4 - 1. Suppose b - 54 = -4*b - i*f, 2*f = -4. Solve -4*a + w*a + b = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 109*i - 97*i - 4*i**2 + 3*i**2 + 4*i**2 to the form u + h*i + q*i**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -300, -324, 106, 1218, 3240, 6400, 10926, 17046?\n\"Answer: 38*t**3 - t**2 - 287*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27425 is divided by 7308.\nAnswer: 5501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtjivpjp. Give prob of picking 1 j and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-3)\/((-12)\/(-8)). Suppose -36*v - 54 = -42*v. Solve -l*f = f - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 1\/120*z**5 + 1\/12*z**3 + 1\/12*z**2 + 3*z + 0 + 1\/24*z**4. Let j(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/40*-1)\/(4\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 1428900*s - 170146267500.\nAnswer: -3*(s - 238150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from {l: 3, f: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -835, -1669, -2503, -3337?\nAnswer: -4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/468609, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1118 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29644\/28 - (-3)\/((-189)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 less than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 367? (a) 1.5 (b) -3\/2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3 + a**2 - 2 + (-a + 0 + 0)*(36*a - 13*a + 58*a).\nAnswer: -80*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188651337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*s - 225*s + 103*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuuuuuu. What is prob of sequence ku?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*u = -196 + 214, 0 = 5*x + 11*u - 18 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -357.\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -611595.\nAnswer: 122319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 7*k. Suppose -5*h - 32 = -3*h + 4*m, 3*h + 2*m + 28 = 0. Give j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*q - 9*k + 15209, -3*q + 5*k + 15215 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7193 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:23 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6603 + 6?\nAnswer: -65a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 3 + 3 + (6*j**2 - 3*j**2 - 4*j**2)*(0 + 2 - 4) + (-4*j + 3*j + 2*j)*(5*j + 0*j - 4*j) + (7*j + 9*j + 6*j)*(2*j - 1 + 1) + 0 - j**2 + 0.\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-18)\/12*-2*5\/3. Is o at least as big as -8\/1167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348 - 324) + (7 - -9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 + 0?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 79. Suppose 0 = v*p + 2*k, 0 = -p - 9*k + 11*k. Solve 0*j + j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:20 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25724 = -4*p - 2*q, -2*q - 2*q = p + 6417. Let o = 13524 + p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2 - 5*a + 107. Let n(j) = -12*j**2 + 8*j - 161. Give -5*n(y) - 8*v(y).\nAnswer: 4*y**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w**4 + 0*w)*(-2 + 6*w + 2)*(3 - 4 - 2) - w**3 - 2*w**5 + w**3.\nAnswer: 34*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59741.6 minutes?\nAnswer: 3584496000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51615821?\nAnswer: 61, 846161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 978.\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12891, 27435, 41979, 56523, 71067?\nAnswer: 85611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 11 = -37. Solve -2*q + 0 = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-8))\/((-10)\/80). Suppose -x + 0*x + 4*c = -16, q*c + 8 = -5*x. Solve k - 2 + 7 = x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -8.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 957*v - 325*v + 442*v to g*v + j and give g.\nAnswer: 1074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/5 + 81*u**4\/5 - 216*u**3\/5 - 12*u**2\/5 + 288*u\/5 = 0?\nAnswer: -1, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p - 8*p + 17*p + 13 - 5*p - 19*p. What is the remainder when z(-4) is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222021 (base 3) in base 7?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3790 divided by 2\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/15 - 688*h**4\/15 + 464*h**3\/5 + 2764*h**2\/15 - 278*h\/3 - 692\/5 = 0 for h.\nAnswer: -346, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-210)*7\/(-6))\/((-1309)\/748)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) 1\/6 (b) 1\/4 (c) -5 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c + 32*c - 8*c - 13*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 24*f**4 - 5*f**3 - 3*f - 199. Let v(n) = -71*n**4 + 15*n**3 + 8*n + 598. Let r(x) = -8*m(x) - 3*v(x). Differentiate r(l) wrt l.\nAnswer: 84*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*w + 2*w + 7*m, 0 = -3*w + 2*m + 8. Solve j - 7*k = -w*k + 2, -7 = j + 2*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2018 * 6748.6.\nAnswer: 13618674.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 371639 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 131*c**7\/70 - 181*c**4\/24 + c**3\/3 - 383*c**2. Find the second derivative of y(m) wrt m.\nAnswer: 4716*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 2*b**5 + 5*b + (0*b + 0*b + b**2)*(-2*b**3 + 4*b**3 - b**3) + 2*b**3 - 2*b**3 - 2*b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12212497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**3\/2 + 29*i**2\/2 + 39*i. Let j be d(-8). Solve 23 = -j*l + 3*c, 4*l + 18 = 2*c - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:15 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12407 greater than or equal to -1.565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-592)\/(-8)*(-819)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209518024?\nAnswer: 2, 26189753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2353472, -4706860, -7060248, -9413636, -11767024, -14120412?\nAnswer: -16473800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29350 - g - 29350 - 3*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4054 - -1.5946. What is the biggest value in -1, p, 729?\nAnswer: 729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 200 + 290 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 374*l + 950 = -379*l + 732*l, -2*l - 68 = -5*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2 (c) -1\/33 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16078 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15520)\/1302 - (-28)\/(-588) - (0 - 12)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/19476 and 1\/12.\nAnswer: 19476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 0)*(2 + 3 - 4)*(0*p + 6*p - 4*p)*(-1 + p**3 + 1).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y - 82. Let l be z(6). Suppose 2*p = -4*p + l*p. Solve -2*i + 4*x - 24 = p, -i + 2*x = 3*i + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.2, -3\/5, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 13. Let f be y(16). Let m be 21\/(-1)*(-1)\/f*-1. Suppose -i = m*i - 24. Solve -j - 4 = -i*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 3*b + 21*b**4 + 25*b**4 - 4*b - 6*b**2 + 0*b**3 - 53*b**4 as l + r*b**4 + d*b**2 + h*b + v*b**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 48 = -8*m. Let j be (-14)\/m - 1\/1. Let g = 286.4 - 286. What is the nearest to -2 in -0.4, j, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -7*o**3\/3 + 79*o. Let f(w) = -w**2. Calculate y(f(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -13*w + 10*w. List the prime factors of -4 + 3\/(3\/w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 + 8*i - 3. Give g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2 = 7*q - 11, 5*u + 9 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1 (c) 2\/9 (d) -5 (e) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:36 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*h - 7172, -2*h + 5*m - m - 3592 = 0. Let y = 3684 + h. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36600 is divided by 104.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**2 - 2*q - 22*q**2 - 37*q**2 to x*q**2 + s + p*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 4*f**2 + f - 7. Let l be r(6). Let b = -211 + l. Round b to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 17*q + 74. Does 2 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*j**2*y**2 + 1816*j**2 + 294*y**3 wrt y?\nAnswer: -14*j**2*y + 882*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 7*n + 64. Determine a(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 17253.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + b = 2*y - 22, 2*y - 4*b - 28 = 0. Let k be (-72)\/(-16) - (-3)\/y. Suppose -2*z = 5*u - 10*u - k, -20 = -4*u. Solve 0 = -3*j - 0*j - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k - 28*k + 186 = 3*h, 4*h - 86 = -k. Let i(g) = g**2 - 3*g - 7. Calculate the remainder when k is divided by i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246168 and 2574.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/4 - 2)*-4. Which is the closest to h? (a) 0.09 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (185 - 2) + 1 + 0 + 1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(2*u - u - 2*u + u - u - 2*u + (2*u + 1 - 1)*(-1 + 0 - 1)) as l + o*u and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/21 - (-15)\/(-84). Which is the fourth biggest value? (a) -0.2 (b) 4 (c) 2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 23 + 0 - 14)*(w**3 + w**3 + 0*w**3).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 12889*j**4\/24 - j**3\/6 - 10*j**2. Let n be o(9). Round n to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -380, 3, -3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 12*j**2 - 11*j + 1. Suppose -a - 1 = 0, -10 = -5*i + a + 91. Suppose -i = 4*m - 60. Does 13 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135842415 to the power of 1\/2, to the nearest integer?\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4 - 38*j**2*k**3 + 2*j**2*k**2 + 179*k**3 - 2 wrt j.\nAnswer: -4*j**3 - 76*j*k**3 + 4*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 206.8 and -9.\nAnswer: -1861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -423042.\nAnswer: 1\/423042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 34*n**2 - n - 25. Give x(7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -107. Let y be 11*(6 - (0 - 4)). Calculate the greatest common divisor of y and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135 + -101?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16884 + -2425.8.\nAnswer: 14458.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 8 + 8 - 5.\nAnswer: -13*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 6 - (-7 + (11 - 5))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 313*x**6\/120 + x**4\/12 + 199*x**3\/6 - 231*x**2. Differentiate a(t) wrt t.\nAnswer: 939*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + g = 12, -5*j - g + 64 = 3*g. Let m be 9 + -7 - j\/10. Which is the second smallest value? (a) m (b) -4\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069948 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**5 + 36*b**3 + 15*b**2 - 75*b. Let n(t) = -3*t**5 - t**4 + 34*t**3 + 14*t**2 - 74*t. Let l(y) = -3*n(y) + 2*o(y). Let l(m) = 0. Calculate m.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36218, -36352, -36550, -36812, -37138, -37528?\nAnswer: -37982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1137 + -1135. Solve c = t*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2)\/((-2)\/(-7)). Let z = d + 8. Suppose a + 5*l + 9 = z, 0*a = a - l - 3. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014567 rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**4 + q**4 + q**4 - 1 - 2*q**4 + 1 + (2*q**2 + q**2 - 2*q**2)*(-2*q + 2*q - 2*q**2) - 52*q - 10*q**4 + 52*q + q**3.\nAnswer: -18*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2)\/k))\/k)**(-2\/3)*(k**(-1\/2))**(2\/9) assuming k is positive.\nAnswer: k**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.324 - -0.076. What is the second biggest value in 1, -3, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.243002 + -0.756998. Suppose -5*b - r + 3*r = -339, 0 = -5*b + 3*r + 336. Is b at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*v**2 - v**3 + 165 - 81 - 300*v**2 - 84 to the form r*v + t + a*v**3 + j*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -124*m - 28. Let u(f) = -249*f - 56. Let c(n) = -3*u(n) + 7*z(n). Find the first derivative of c(s) wrt s.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lffj when four letters picked without replacement from {j: 4, v: 4, l: 2, f: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(21)\/(-4*sqrt(7)*1) + -4 + 2 + 0).\nAnswer: 3*sqrt(3)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*3\/27)\/(62\/(-9462) - 536\/(-22244)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 5*x + 5, 5*o = 4*x - 2*x + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1346 = -h - 39, t - h + 350 = 0. Let w = 508 + t. Let c = w - 479\/3. Is c != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*g - 1224, x - 4*g - 231 = 987. Does 123 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 5*l**3\/3 + 6*l + 2. Let z(g) be the third derivative of g**4\/24 + 2*g**2. What is z(m(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 987090*k**3 - 195*k**2 + 585*k - 195. Let q(d) = -80909*d**3 + 16*d**2 - 48*d + 16. Determine -195*q(l) - 16*z(l).\nAnswer: -16185*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-2)\/(-1))*(4 + 156). Let r = -81 - j. List the prime factors of ((-6)\/1)\/(r + (-213)\/(-222)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 15 + 17. Let s = h + 24. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 16384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*j**4 - j**2*s - 2*j*s - 37*j + s wrt j.\nAnswer: 2076*j**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Let k(x) = 2*x. Let d(b) be the third derivative of -b**4\/6 + b**3\/6 + 117*b**2. Give u*k(p) + 3*d(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cncnccnnnncn. What is prob of sequence ccnn?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 12*q**2 + q + 6. Calculate a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 2 + 16*m**3 - 1 - 15*m**3 to the form h*m**2 + t + b*m**3 + o*m and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 396\/5 - 9\/5*y**4 + 606\/5*y**3 - 789\/5*y**2 - 204\/5*y = 0.\nAnswer: -2\/3, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/7 - 33640*f**2\/7 + 403392*f\/7 = 0. What is f?\nAnswer: 0, 12, 16808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4) + 3 + -2 + -3 + (sqrt(5) - (sqrt(40)\/sqrt(2))\/sqrt(4))**2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872600 is divided by 325.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 + 8*c**2 + 7 - 4)*(-4*c**2 - c**2 + 4*c**2).\nAnswer: -18*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 23 = -o. Calculate the highest common divisor of o and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4. Let l be h(0). Let t = 3 - l. Let f(b) = -10*b. Determine f(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -3*k + 44. Let b be ((-5)\/(-1))\/(k - -3). Solve b*p = i - 0*p - 15, -5*p - 25 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*m**2 - 156.\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/4, -389, -5, 2\/3 in descending order.\nAnswer: 2\/3, -1\/4, -0.3, -5, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + 2 + 1 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317157259?\nAnswer: 11, 127, 942847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 8*s**2 - 2*s**2. Let y(g) = -4*g**2 + 4*g - 1. Let c(p) = -5*p**2 + 4*p - 2. Let z(a) = 5*c(a) - 6*y(a). Let q be z(-3). What is u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Suppose 2*g + 3*i = 7*i + 66, x = 4*g + 4*i - 120. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -4*c - u, -8*c + 3*u + 29 = 0. Solve -3*d + 10*d = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20217 and 12?\nAnswer: 80868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -4 (c) -0.1 (d) -1\/5 (e) -0.4 (f) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341450 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(48)*2)**2 + sqrt(3) - (sqrt(3) - (sqrt(3) - (sqrt(768) + sqrt(3))))).\nAnswer: -576 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1613476 divided by -403369\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-2)\/j*(j**1)**(2\/25))\/((j*j**(-2\/25))\/j**7)**(-2\/109) assuming j is positive.\nAnswer: j**(-16436\/2725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.77426 millennia in decades?\nAnswer: 1677.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f + 78. Let x be s(-11). Let i(k) = -k**3 + 5*k**2 + 5*k + 62. Let v be i(7). Put 3, x, 0, v in decreasing order.\nAnswer: 3, 0, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1019.2 - -1019. Which is the third biggest value? (a) 77\/6 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 36)\/((-15984)\/(-1080))?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5675 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48048a + 4?\nAnswer: 480492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from avaaavnnnnaaannana.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkskwswws. What is prob of sequence ss?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1077.3 - 1082.3. Sort o, -24, -0.02.\nAnswer: -24, o, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4)*8 - -4)\/((-2)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 31200?\nAnswer: 31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/(-14))\/(18\/63)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129413539*x**2 + 28806696 wrt x?\nAnswer: 258827078*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let g = -6 + 6.06. Let t = g - 0.36. Which is the second smallest value? (a) -2 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 93, 115, 137?\n\"Answer: 22*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5886\/23 + 256. What is the nearest to -1 in 5, -1\/6, f?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 9*d**2 + 9*d + 10. Calculate a(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.25 + 6.77. Let j = x - 2.5409. What is j rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u - 14. Let g(p) = -8*p + 7. Let x(z) = -5*g(z) - 2*o(z). Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = d - 29, 5 = d. List the prime factors of (m\/1)\/(-3 - (-85)\/29).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9\/5, 1, 8 in decreasing order.\nAnswer: 8, 9\/5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 176*j + 86082. What is b(218)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3807088 micrometers in millimeters?\nAnswer: 0.0003807088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 7*a**2 + 4. Let b be o(-7). Suppose l = -b*l + 469220. Suppose -l = u + 486156. Round u to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33794271 is divided by 5655?\nAnswer: 5646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1246 divide 17751009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 51685*c**3 - 25845*c**3 + 2*c**2 - 2*c**2 - 25839*c**3.\nAnswer: c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.999966 + -121. What is p rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -4, -74\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 138*s**2 - 548*s + 750. What is g(134)?\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/235250 and -41\/20.\nAnswer: 470500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(-5 + sqrt(65)\/sqrt(5) - (sqrt(13)*2 + 2)))**2)*-6.\nAnswer: -1482 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 4, z: 6, s: 1, d: 1}. What is prob of sequence us?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/180*(-1 + 67 + 0). What is the highest common divisor of d and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let z(w) = -2*w**3 + 4*w**2 + 2*w + 1. Suppose h - 4*k - 1 = 0, -h - 5 = -6*h - 5*k. Give h*z(b) + 4*d(b).\nAnswer: -2*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 60. Calculate the smallest common multiple of 27 and y.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 440. Let w be (-63)\/(-14)*(-32)\/(-12). Suppose w*d - 23*d + 121 = 0. Calculate the highest common divisor of d and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6471946030 and -4153.\nAnswer: 6471941877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101\/(11615\/(-46))*(-10)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f + 45*f + 28*f + 83*f + (0 + 2 - 4)*(f + f + 0*f) to the form g*f + v and give g.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000156937568 rounded to seven dps?\nAnswer: 0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*684\/570?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022770?\nAnswer: 2, 5, 7, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12222765 divided by 2444553.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 59*p + 272. Let l be 2\/(-5) - (-8)\/20. Suppose f = 5*i - 24, l*i + 12 = 5*i + 2*f. Calculate the least common multiple of r(54) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2352, 2250, 2148?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**11*k**(-4)\/(((k*(k\/(k*k**(2\/7))*k*k)\/k*k)\/k)\/k))\/(((((k**(-1\/12)\/k)\/k*k)\/k)\/k)\/k**(-4))**(-1\/28) assuming k is positive.\nAnswer: k**(-5269\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c - 1967 = -4175 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 736.762263 + -736.8. Round z to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(8*9\/(-36))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/3130 and 103\/5586.\nAnswer: 8742090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83003663*w**3 - 274430665*w**2 wrt w?\nAnswer: 498021978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1)*(-12)\/(-24). What is the tens digit of (x - 0) + (2 - -32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1695, 1693, 1691?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3)\/3 - (3 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -380 - -533. What is the highest common factor of 391 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84767 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26515301003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**9\/63 + t**5\/6 - 22*t**2. What is the third derivative of j(x) wrt x?\nAnswer: -960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-2)\/24). Let z be (-1 - 21\/(-9))*l. Let d = 11 + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 488.0197873 + -488.01. What is s rounded to 4 decimal places?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 55. Which is the fourth biggest value? (a) -5 (b) 1 (c) -4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:35 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3 + 60108*j**2 - 1200636*j + 1140532 = 0?\nAnswer: 1, 19, 15007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6392 divided by -18\nAnswer: -3196\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490700 is divided by 10044.\nAnswer: 9832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q - 4*q + 8*q + (4*q - q - q)*((6 - 2 - 3)*(-3 + 3 + 2) + 5 + 1 - 3 + 0 - 1 - 4 + 2 - 5 + 2) in the form a + r*q and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -69*x + 7. Let n be v(2). Let t = 18 - n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/3, -0.5, 0.057, -4 in decreasing order.\nAnswer: 0.057, -0.5, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 19*y - 4. Let q(h) = 6*h**2 - 6. Calculate d(q(n)).\nAnswer: 72*n**4 - 258*n**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrccccgm. Give prob of sequence rrc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10456*o**2 - 37 + 37 + 51*o - 51*o.\nAnswer: -10456*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -3)*(-1)\/(-2). Let f be (-18)\/(-5) - 14\/(-35). Suppose 0*j + 2*a = -j - 3, 4*a + 12 = -f*j. Is j at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2. Let z be b(-1). Let a = 13 + z. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1257*w**2 + 36 + 313*w**2 + 320*w**2 + 418*w**2 to the form z*w**2 + p*w + g and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 215665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/199 - -428\/995. What is the smallest value in f, 1, 5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -x + f, -7*x + 72*f - 76*f = 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 1. Let y(t) = -10*t**2 - 3*t + 5*t - 2*t. Let u(q) = -5*l(q) - y(q). Factor u(o).\nAnswer: 5*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 168 + 7. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3261\/641, -10, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -132*g. Let z(j) be the third derivative of -j**5\/30 + 13*j**4\/8 - 2028*j**2. Determine z(d(q)).\nAnswer: -34848*q**2 - 5148*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 995 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3010 and 10750.\nAnswer: 75250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6c34 (base 14) to base 9.\nAnswer: -742476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*m - 290*m + 15*z = 7, 2*z + 2 = 4*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 3083730510?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = 4. Suppose -3 = f, 3*j + 3*f + 5 = i*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*p = 3*c + 7, 1 = p. Let b be 0 + c + 2 + 120\/12. Let r be (b + -45)\/((-3)\/((-3)\/(-2))). Calculate the greatest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Let b be (-10)\/190 + 231\/57. Suppose k + 2*d = 20, b*k = t*d + d + 106. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m + 1. What is the remainder when 4 is divided by c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423711349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k. Suppose k = -0*r + 2*r - 40. What is the remainder when (-4 - 0) + (-4 + (9 - -1) - -135) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:20 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**2 + 49*a - 49*a + 3*a - a**2 - 3*a + (-3 + 0 + 1)*(3*a**2 - 3*a**2 - 2*a**2) + 2*a**2 - a**2 + a**2 + 2 + 10*a**2 + 14*a**2 + 2*a - 23*a**2.\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*p + 9. Let u be (-6)\/(-21) - 17\/35. Let j = 0.01 + -0.51. Which is the smallest value? (a) p (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 13}. Give prob of picking 1 l and 2 p.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*h**2 - 302 + 221 + 114*h**2 + 10*h**5 + 0*h**3 + 3*h**5 + 0*h**3 + 0*h**2 + 0*h**2 - 2*h**5 + (4*h**4 - 2*h**4 - 4*h**4)*(2 - 2 + h).\nAnswer: 9*h**5 - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24919.77 nanometers to centimeters.\nAnswer: 0.002491977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3557268729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 10.6 (c) -13 (d) 0.12 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-140) + (-36)\/(-63))*30\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 8:32 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174\/(-145))\/(5\/((-5700)\/24)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -2\/11 in decreasing order.\nAnswer: 6, 5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:47 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 31 = -4*v + 125, 2*v - 78 = 3*i. Let q = v + -40. Put 4, q, 23 in descending order.\nAnswer: 23, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 724329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13364 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 5. Let d be k(6). Suppose -d = -3*p - 2*b + b, 0 = 3*b - 6. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.2 + 1.8. Is -0.1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81994157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -18. Let m = 7 - w. Let n be (4\/6)\/(-4 + 39\/9). Solve m*r = 3*r - n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -3, -2\/13, 0.5, 1\/5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*k + 364 + 332 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3765250 divided by -4\nAnswer: -1882625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 317406059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 6377\nAnswer: -5\/6377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 less than -230320432?\nAnswer: -230320431.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99879275 is divided by 1596.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.576 + -5.576. Let r = -3 - -1. Which is the closest to 1? (a) v (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 4*b**2 + 0*b**2 - b**2.\nAnswer: -12*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141685771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147918149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 406\/3 - 136. Let o = -0.4 + -0.1. What is the second biggest value in o, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, -3, 1, 405?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 8) to base 10\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 6. Let p(c) = 4 - 3*c + 4 - c - c**q - 3. Let w be p(-5). Solve a + w*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891 - 1004 = -56*i + 108 - 491 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from myude?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 0.16. Let x = 0.198 - 2.198. Sort x, 0.01, f in decreasing order.\nAnswer: 0.01, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 407286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1461380953\/21420 - 614026\/9. Calculate the common denominator of w and 91\/3400.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 734*i**3*u**3 + i**3*u + i**3 - 140*i**2*u + 2*i**2 + 976*i*u**5 + 45*i*u + 148*u wrt u?\nAnswer: 4404*i**3*u + 19520*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 500, 743, 984, 1223, 1460, 1695?\nAnswer: 1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100539834?\nAnswer: 2, 3, 53, 61, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + 1*sqrt(5) + sqrt(5) + sqrt(5) + sqrt(5)) + 5*(sqrt(3)*2 - sqrt(3)).\nAnswer: 26*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**3 + 11*l**2 + 6*l + 8. Let j(n) be the third derivative of n**6\/60 - n**5\/15 - n**4\/12 - n**3\/2 + 7*n**2. Determine -11*j(z) - 4*p(z).\nAnswer: -2*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*q = 2*q + 20, -3*y + 2*q + 16 = 0. Suppose -y*b + 3*b - 30 = 0. Let u(d) = -12*d + 21. What are the prime factors of u(b)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 3\/6*6. Let d(k) = 11*k**3 - 2*k**2 - k. What is d(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:36 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 699 = 4059. Is y bigger than 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101340075 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 8. Let v be w(-7). Suppose -23*j + 24*j = -2. Let i be (-1)\/j*(1 - v). Solve 4*q + i = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 2135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18037.53645 - -0.3.\nAnswer: -18037.23645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 23*r**3 + 26*r**2 - 7. Let c(u) = -15*u**3 - 17*u**2 + 5. Let m(h) = 7*c(h) + 5*k(h). Find the third derivative of m(l) wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105207 * -4.\nAnswer: 420828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:40 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -1.4 (c) 291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let k(q) = -q**2 + 5*q + 1. Let o(b) = 2*k(b) + 5*w(b). Solve o(y) = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n - j, 4*n + j = n + 24. Let m(c) = 2*c + 10. What is the remainder when m(n) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 22. Let q be (1 + -3 - -4) + w. Is 4 a factor of (q - 2) + (-2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-802)\/12)\/(1\/(-29)). Let p = q + -1932. Find the common denominator of -113\/10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/(-1)*(-16)\/(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 + 603. Suppose -399*y - 310 = -z*y. What is the remainder when 129 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + z**2 + z + 1. Let s be b(-1). Let i(y) = y - 3*y - s + 3. Let q(r) = -21*r + 2. Determine i(q(a)).\nAnswer: 42*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/89 (b) 2\/11 (c) -3.6 (d) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 16. Suppose -3*c = b - 2114 - 1724, f*b + 3*c = 15379. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*t - 525, -8*k - 797 = -11*k + 5*t. What is the greatest common divisor of 7656 and k?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4025 and 605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose -2*u + 2 + 10 = b. Is 6 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48993 - 6663101\/136. What is the common denominator of 55\/56 and u?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1844*d**4 - 158*d**3 + 2*d**2 + 532*d + 24813 wrt d.\nAnswer: 22128*d**2 - 948*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2 + 37*u - 9 + 13*u + 8. Let z(b) = -3*b**2. What is q(z(t))?\nAnswer: -150*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68))\/sqrt(4) + (-6*(sqrt(612) + 2))**2.\nAnswer: 846*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 0. Let m = 462 + -459. Which is the closest to g? (a) 2\/3 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 18*m - 11. Let s be z(-17). Let x be ((-1)\/2)\/((-1)\/24). Calculate the greatest common divisor of x and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 - 1902. Let r(s) = -s. Calculate r(u(j)).\nAnswer: -5*j**2 + 1902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7137110 by 4.\nAnswer: -3568555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64869181 a multiple of 3016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 74. Let l be c(4). Let j = 36 - l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60470.\nAnswer: 2, 5, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 5\/6, 4, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16135 and 2901995.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 + 1788\/(-108) + -1 + (-5)\/(-9). Sort 26, 215, h in descending order.\nAnswer: 215, 26, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -750618 (base 9) in base 15?\nAnswer: -8c51b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*o - r - r - 30, 33 + 112 = 16*r + 9 + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6956274.\nAnswer: 2, 3, 13, 101, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*n = -905*n - 99 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 6}. Give prob of picking 3 o.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 1. Let z(v) = 39*v - 2. What is -4*q(y) - z(y)?\nAnswer: -31*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**7\/21 - 2*r**6\/15 + 3*r**5\/5 + 4*r**4\/3 - 5*r**3\/3 - 6*r**2 + 54*r. Suppose s(d) = 0. What is d?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21457.7159 to the nearest ten.\nAnswer: -21460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 6 + 3 - 3 as o*t**2 + y*t**3 + u + h*t and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 365407 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -10*b**3\/3 - 11*b**2\/2 + 8. What is the second derivative of h(i) wrt i?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2288304?\nAnswer: 2, 3, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12630281207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 26*w. Let q(m) = -6*m + 29440. Calculate q(x(c)).\nAnswer: -156*c + 29440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdf when three letters picked without replacement from sdsisdsddfi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4\/3, -88430, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, -4\/3, -88430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234 + -1134642?\nAnswer: -1135206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6348*-3\nAnswer: 19044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = -4*y. Suppose 2*z - 4 = -0*z. Solve -z*s + y = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = 50*z - 1616. Let c = z + -184. Suppose -2*j + j + 6 = 0. Calculate the least common multiple of c and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*f + 338 = 13*f - 678. Solve -4*l - 9 = t, -12*l + 4*t = -f*l + 44 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/99 and -17\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269606264 divided by 3.\nAnswer: -269606264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*q - 129*q - 2*n + 8, 3 = -3*q + 2*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 9*i**2 - 68*i + 14. Give l(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than 20.45?\nAnswer: 20.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 + -145. Let y(n) = n**3 - 2*n**2 + 4*n - 2. Let v be y(2). Let x be v\/(-24) + (-37)\/(-4). Is x bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6505413*x**4*z**3 - 10*x**4*z + 793936996*z**3 wrt x.\nAnswer: 26021652*x**3*z**3 - 40*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:32 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 358611033 a multiple of 1299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 86 = 4*q, 211*q - 100*q = 5*i + 105*q - 137 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 - 129 = 0. Suppose -n = n - p. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122111 + -101010122?\nAnswer: -121210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 286 (b) 4 (c) -29\/4 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 15. Let p = -5500 - -5501. Sort p, 4, -2, r.\nAnswer: r, -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - p**2 + 2*p - 2 + 2 + 3*p**2 + (0*p + 2*p - p)*(2 - p - 2) + 58*p**2 + 30*p**2 + 234*p**2.\nAnswer: 323*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r + 1. Let h(i) = 4*i**2 + 389*i + 11. What is -h(t) + 5*l(t)?\nAnswer: t**2 - 379*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r. Suppose r = 2*s + 16 - 58. Let y = 11 + 30. What is the remainder when y is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 121068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 6. Let k be s(-5). Let z = -192.86 + 191. Let n = -0.14 + z. Which is the closest to k? (a) 5 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - (-3 + 7)) + 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**(18\/7)*((n*n**0*n)\/n)**(-6\/23))\/(((n**(-1)\/n*n*n)\/n)**(19\/6)*(n*n\/n**1)**(-6\/5)) assuming n is positive.\nAnswer: n**(11551\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5965, 12710, 19455, 26200?\nAnswer: 32945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2083628, 4167260, 6250892, 8334524, 10418156?\nAnswer: 12501788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(128) - sqrt(128)) - (3 + (sqrt(128) - -3*sqrt(128))))*-2.\nAnswer: -34 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16250 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-1*16)\/(-2). Let h be (-2)\/((-2)\/4*1). Suppose 2*l - v*l - 74 = -5*o, -2*o + 20 = -h*l. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 10*g - 6. Let s(n) = 5*n**2 - 9*n - 6. Let q(h) = 2*i(h) - 3*s(h). Find k, given that q(k) = 0.\nAnswer: -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, -417, -90, 3 in increasing order.\nAnswer: -417, -90, -16, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -205918.716 to the nearest one hundred.\nAnswer: -205900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -888, -3, 0.37, 0.3, 0.5 in ascending order.\nAnswer: -888, -5, -3, 0.3, 0.37, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-18))\/((-14)\/6))\/(1043\/(-12516))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19968 divided by 6656.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-6)*(0 - 3). Suppose k - 11 - r = 0. Let c = 17 + k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1010001110111010010010010101?\nAnswer: -1010001110111010010010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = -5*p + 35, -p + 6 = -2*x. Suppose p = 3*f + 2. Is f at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 h when four letters picked without replacement from rhhhhrr?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 180?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*4*(sqrt(102)*-1 + sqrt(102)))\/((sqrt(726) - (sqrt(726) + (sqrt(726) - (sqrt(726) + sqrt(726)*2*3))))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 780?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 768 and -42.\nAnswer: -32256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oneennonoetno. What is prob of picking 1 t and 1 e?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102.54 + -101.2. Let a = 0.7 + -2.3. Let d = q + a. Round d to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/18*(49\/(-1))\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1011*268657\nAnswer: 271612227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*b**5 + 42*b?\nAnswer: 500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/6 + 8*s - 49\/6 = 0. Calculate s.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 26*o + 95. What is h(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 215*d**2 - 15*d + 24. Calculate r(2).\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - g. Suppose 0 = 4*r - 2 - 10. Let s = -1 + r. Let k(h) = 2 - 5*h + 9*h**2 - 3 + 3*h. Give s*k(z) - 5*u(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109181072 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2290859177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + -1 + 2 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9995.7 * -1\nAnswer: 9995.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 1\/4*d**3 + 0*d + 5\/4*d**2 + 0 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -194, -3.\nAnswer: -194, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2183 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-28))\/(19\/171 - 15\/(-108)). Solve -2*c + 5*w = -12, -7*c = -2*c + w - v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (310\/186)\/(2\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 5*r + 10. Let l(z) = z**2 + 3*z + 6. Let s(i) = 10*l(i) - 6*w(i). Let u(q) = 27*q + 12. Give s(u(a)).\nAnswer: 2916*a**2 + 2592*a + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 458 + 1. Suppose 12*j - f = 10*j - 3*a, -a = 3*j - 671. Calculate the remainder when j is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 44 = 48 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:36 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25088 and 1120?\nAnswer: 125440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1485779, 4, 21 in descending order.\nAnswer: 21, 4, -1485779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -393. Let v = -5 + 8. What is the fourth biggest value in -0.1, v, u, 4\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -182567*s + 25. Let b be l(-19). Let k be b\/(0 + 2 - 11\/22). Suppose -5*m + 787468 = -k. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*v + 21, -v + 5*v - 12 = 0. Put u, -5, 1 in descending order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428738 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43068877 is divided by 3589073.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -11*f**2 + 1\/3*f**6 - 63*f + 0*f**5 + 0 + 0*f**4 - 1\/3*f**3. Find the first derivative of g(x) wrt x.\nAnswer: 40*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -450542.79 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 - -4 - ((2 - -5) + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(2\/5 + 14\/(-10)). Let s be (-5)\/10*v\/(-3). What is the nearest to 2\/7 in s, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 0, 9*q = w + 4*q - 100. Calculate the highest common factor of w and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amd when three letters picked without replacement from {m: 2, a: 2, d: 6, z: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/3 - 11. Let g = 6.5 - 7. Which is the nearest to l? (a) 5 (b) g (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(245\/(-21)))\/(4\/(-14))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 55 - (-10 + 6 + -13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**2*m))\/m)\/m**(-1\/10)*m*m**(-5)*(m**(-6\/11)*m)\/m assuming m is positive.\nAnswer: m**(-819\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 4*m = 66. What is the remainder when 10 + m - 280\/(-2) is divided by ((-2)\/3)\/(2\/(-111))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 5*t + 15 = -15*w, 3*t = 3*w + 9. Which is the third smallest value? (a) 57 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiilivmmvimdmidamim. What is prob of sequence vvd?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 4)*(-5 + 1 + 3) + 2 - 2 - 3)*(4*t + 0 + 0)*(2 + 1 - 4)*(-3*t**2 - t**2 + t**2).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v. Let o(p) = -4*p - 13437 + 13437. Let k(h) = 11*h. Let n(u) = 3*k(u) + 8*o(u). Give n(x(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12742 and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/((-2)\/(4 + -2)). Suppose -3*o = -32 + n. Let f be 3 - (-4 - o) - -1. Solve q = 4*j + 6, -f*j - 9 = -2*q + j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = -2*z, -3*q - 3 + 20 = -z. Let w(a) be the third derivative of -1\/24*a**4 + 5\/6*a**3 - a**2 + 0 + 0*a. Determine w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, -92, -279, -520, -803?\n\"Answer: 2*z**3 - 45*z**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37027, 74066, 111109, 148156, 185207, 222262, 259321?\n\"Answer: 2*i**2 + 37033*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -2d?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1693887, -3387773, -5081661, -6775551, -8469443, -10163337?\n\"Answer: -r**2 - 1693883*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -847, -2 in ascending order.\nAnswer: -847, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113*q + 436*q + 1102*q)*(1 - 6*q - 2 - 2*q) in the form h*q**2 + l*q + g and give l.\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 1, e: 2, f: 2, y: 1, l: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) 2377142 (c) -1\/10 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/7 in 0.4, -3\/8, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85779, -85817, -85859, -85905, -85955?\nAnswer: -86009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88677 is divided by 1642.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q - 3*q)*((5 + 5 - 13)*(-2 + 3 + 0) - 4 + 3 + 0 - 5 + 0 + 4 + (3 - 4 + 2)*(-1 + 1 + 2) + 3 + 3 - 4).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -159663 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 36306008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-9)\/(-3) + 3. What is the derivative of 2*a - 2*a - y*a - 1 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*v = -0*o - 22, -9*v + 17*v - 5*v = 8*v + 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111.9 + 117. Let k = 0.5 + b. Let h = k + -5.59999988. Round h to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 7601 - 7601.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3129 times -0.4?\nAnswer: 1251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*f = 16, 15*f - 10*f = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) - sqrt(1323)*2)\/(sqrt(9) - 6*(sqrt(9) - (sqrt(18)\/sqrt(2) - sqrt(9)))).\nAnswer: 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 + 6*r + 2. Let o(t) = t**2 - t. Let a be ((-88)\/(-48)*-44)\/((-2)\/3). Let m = -116 + a. Calculate m*o(d) + c(d).\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*a = -24*a - 1518 - 147 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13922471 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5)*10\/18. Let z = 2102837\/29308 + 3\/7327. Let i = -71 + z. What is the smallest value in 2\/15, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 + 0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 16. Let h(d) = 40*d**2. What is o(h(u))?\nAnswer: -80*u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2797*i**3 + 62*i**4 - 61*i**4 - 4*i - 2790*i**3 - 7 in the form z*i**2 + b*i + q + m*i**4 + g*i**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 206920.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*i - i, -5*q + 2 = 3*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 16) to base 9.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7104*g**3 + 5 + g**2 + 7112*g**3 - 1 + (0*g**2 + g**2 - 3*g**2)*(-2*g - 3 + 3) + 2*g - 2*g + g**3.\nAnswer: 13*g**3 + g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*m + 173365 = 5*l, -m + 5 = 0. What are the prime factors of l?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - 4*l, 5*l - 1 = v + 1. Suppose 3*u + 3*f - 25 = -u, 3*u - 18 = -v*f. Suppose -6*w - 40 = -u*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u - 64*u + 90 = 0. Let v = 21 - 13. What is the least common multiple of v and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, w: 2}. Give prob of picking 2 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 92*m - 859*m**2 + 17 + m**3 + 858*m**2 to z + u*m**2 + o*m**3 + g*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 2 m when four letters picked without replacement from tyomyymoy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 833, 1260, 2085, 3440, 5457, 8268, 12005?\nAnswer: 16800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a factor of 602116958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + -28. Let q = s + 160. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 0 + 1 + (-91 - (-142 + 45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 412*z - 13. Let n(u) = 2*u**2 + 1236*u - 34. What is 8*a(t) - 3*n(t)?\nAnswer: 2*t**2 - 412*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*v = 6011, -135*f + 18071 = -132*f - 4*v. List the prime factors of f.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005008827 to four decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2238, 8704, 19472, 34536, 53890, 77528, 105444?\n\"Answer: -t**3 + 2157*t**2 + 2*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -2 - -3) + -3. Let m(d) = 0*d - 4806*d**2 - d + 3*d + 0*d + o. Let l be m(6). Round l to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -618, -925, -1230, -1533?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(500) - (1 + sqrt(500)))*6 + 4 + sqrt(500) + 2) - (1 + -5*(sqrt(500) + 4 + -4*sqrt(500))))**2.\nAnswer: -5320*sqrt(5) + 98361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 13*u - 9*u + 18, 2*t = -2*u + 66. Suppose 2*y - 4*y - 5*w = -30, 0 = -4*y + w + 104. Suppose y*x = t*x - 8755. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(-2 + 0 + 4)*(-3 + 3 + 5*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 58 - 89 = -3*u, 6*u - 42 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 527, -3.3.\nAnswer: -3.3, -0.2, 3, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3\/3 - 2*l**2 + 28*l - 104\/3 = 0?\nAnswer: -26\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdddddddaddhadda. What is prob of sequence dh?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-3528)\/(-84))*74?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/25)\/m)**9 assuming m is positive.\nAnswer: m**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 g, and 1 f when four letters picked without replacement from gtftjnfdfggtgtt.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:20 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:16 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let q(g) be the second derivative of -g**4\/12 + 5*g**3\/6 - g. Let y be q(3). Let m(h) = 4*h - y*h + 4*h. What is m(t(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184182?\nAnswer: 2, 3, 30697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + (sqrt(40) + sqrt(360)*-2)\/sqrt(8) - ((sqrt(240) + 2*sqrt(240) - sqrt(240)) + sqrt(60))\/(sqrt(432)*-2)))**2.\nAnswer: -55*sqrt(5)\/2 + 16421\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24989 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - -130)*108\/63. What is the highest common divisor of w and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 94*q**2 - 4. Let h(b) = -97*b**2 + 5. Let j(n) = 2*h(n) + 3*t(n). What is the first derivative of j(u) wrt u?\nAnswer: 176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) - 208\/(-56). Let i(t) = -2*t**2 - 5*t. Let x = 547 + -552. Let g(d) = -d**2 - 4*d. Calculate p*i(v) + x*g(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -0.4.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162\/7 - 18*t - 34\/7*t**2 - 2\/7*t**3.\nAnswer: -2*(t - 1)*(t + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 4 + 1 + 7)*(1 - 2 + 2) in the form g + n*i and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(10)*2*2)\/(sqrt(6)\/(sqrt(9)\/sqrt(3)))*-5)**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v**2 - 3*v + 9. Let a be w(6). Let q be (a\/(-100) + -4)*-267679. Let r = -13387 - q. What is the common denominator of -11\/8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let o(j) = -3206226*j**2. Give a(o(x)).\nAnswer: -20559770326152*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-672)\/72*((-912)\/(-256))\/19?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/20 - 128*q**2. Let t(f) = -f**2 - 12*f. Give o(t(r)).\nAnswer: -3*r**4 - 72*r**3 - 432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02693 at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -71.01545. Let g = 23.31455 + l. Let u = 21.2 - g. What is u rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 4261854458364.\nAnswer: -4261854458366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/21 and (-19)\/(-760)*876\/(-63).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from mmmmxmmxmxsmmmmmm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 184 = j. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -87. Suppose 0 = f*q - q - 18. Factor -2\/5*z**4 + 0 + 4\/5*z**3 - 4\/5*z + 2\/5*z**q.\nAnswer: -2*z*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 13. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/14 + (24\/(-42))\/2. Calculate the common denominator of ((-225)\/48)\/(m\/8) and (-155)\/4*4\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43864*f**3*t + 53*f**2 - 6*f - 8*t wrt f.\nAnswer: 263184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5522 - -5572. Calculate the remainder when 248 is divided by g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = k - 13, -2*k = -2*b + 5*b. Solve -5*s - 2*u - 13 = 0, k*u = -2*s - u - 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 189*b**3 + 3*b**2 + 107*b + 106. Give k(-1).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 15*y**2 + 5*y - 20. Let c(t) = -t**3 + 8*t**2 + 2*t - 11. Let z(f) = 5*c(f) - 3*n(f). Let s(g) = -g**2 - g + 1. Calculate 5*s(d) - z(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2167\/(-591)*(-26)\/8151?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g + 124 - 54. Let h(z) = 5*z**2 - 4*z**2 + g*z - 10*z. Determine h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 + 3 = 0. Suppose -3*b + 0*p - m*p = -13, 3*p = -4*b + 15. Suppose -b*w - 63 = -6*w. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(144\/(-15))*8\/100?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4407, -7393, -12355, -19299, -28231, -39157, -52083, -67015?\n\"Answer: -t**3 - 982*t**2 - 33*t - 3391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 29678.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - n**4 + 13*n**3 + 7*n**2 - 19*n**3 - 11*n**2 + 7*n**3 to p*n**2 + l*n + h*n**3 + k + j*n**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1130 = -5*x, -x = -4*x - 5*b + 694. Let y = -34 + x. Suppose 0 = -3*q - 2*z + 187, 0*z + 3*z = -3*q + y. List the prime factors of q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42b1 + 4?\nAnswer: 42b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 35*h**2 - 126*h + 52. Determine x(31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085.61 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -92*i**3 - 599 - 402 + 20*i**2 + 7*i**4 - 21*i**4 + 2*i**5 + 282*i + 803 = 0.\nAnswer: -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, -3*u - 3 = -i - u. Suppose i*x = 2*g + 6, -2*g + 3*g = -x + 2. Let k = g + 18. What is the least common multiple of k and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*w**3*y**2 - 76574605*w**3*y + 708962*y**2 wrt y.\nAnswer: 186*w**3 + 1417924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165274 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96 - c7b16?\nAnswer: -c7a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 26*w - 31. Let k be y(6). What is the greatest common factor of 4 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Let z be b + 1 + 22\/(-18). What is the nearest to -0.1 in 2\/5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 7*t - 5*t)*(165*t - 165*t - 4*t**2).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0902 and 542?\nAnswer: 48.8884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6820*1459.8.\nAnswer: -9955836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**3 + 29*g**2 - 4*g + 5. Let a(d) = 2*d**3 + d**2 - d + 1. Determine -4*a(i) + x(i).\nAnswer: i**3 + 25*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxmkxmmmt. Give prob of sequence mk.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/56)\/(18\/(-27)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-70))\/((-4)\/60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.3 (b) -0.026 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 937 divide 10905079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 1719 + 1719.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - j = 4*j + 995, -203 = -o - 3*j. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 9.62. Let f = -1244.354 - -1247. Let t = w + f. What is t rounded to 2 dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-627)\/(-55) - (-3)\/5. 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: What is prob of sequence iu when two letters picked without replacement from {a: 1, d: 3, x: 3, i: 1, u: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 2, -11.\nAnswer: -11, -8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i. Let a = 2 + i. Suppose 3*u + 0 = -2*z - 7, -2*z = -5*u - 33. Solve -t + z = -a*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 62. Suppose -6*c + 16 - g = 0. Calculate the common denominator of 1*(-1)\/(-40)*c*74 and 17\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(0 + (-2)\/(-12)). Suppose 2*d + 3*d - 28 = -l*s, -2*s + 5*d = -68. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3457 - 3417 = 14*d. Let n = 494 + d. Solve 0 = w + 5*c - 20, -n*c = -0*c - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235825 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**4\/12 - 7*z**3\/9 + z**2 + 10. What is p in x(p) = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**(-6\/5)\/k*k)**(-2) assuming k is positive.\nAnswer: k**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4282814, 8565649, 12848484, 17131319?\nAnswer: 21414154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 85752645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 23*t**3 + 12*t**3 - 19 + 29*t**3 wrt t?\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(225))\/sqrt(8))**2*3 + -1.\nAnswer: -16\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16545 (base 8) to base 15.\nAnswer: 236a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/21 - (0 - (-805528)\/(-119))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*n*u**3 - 3*g*n*u**2 + 647*g*u**3 + 58*g*u**2 - g*u + g - u**4 wrt u.\nAnswer: 12*g*n + 3882*g - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -28*o**5\/5 - 10*o**3\/3 - 737*o**2\/2 - 402. Find the second derivative of b(k) wrt k.\nAnswer: -336*k**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)\/g)**(2\/109))**(-4\/3) assuming g is positive.\nAnswer: g**(40\/2289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 747 + -727. What is the third derivative of 1757*h**4 + 3*h**3 - 1751*h**4 - v*h**2 - 22*h**2 - 4*h wrt h?\nAnswer: 144*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6073941?\nAnswer: 3, 2024647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 131139 = -3*d. Suppose -v = 2*v + d. Let k = -25771 - v. What is k rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m - 2*g - 10, -2*m - 3*g = 19. Let t be ((-1)\/1)\/(1\/m). Suppose -2*z + 22 + 3 = 5*p, -z - p = -14. Solve -3*w - z = -t*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 + -92. Suppose -66 = -12*g + l. Solve -k - g = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4462, -8924, -13386, -17848, -22310?\n\"Answer: -4462*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(242) + 2 - (sqrt(40)\/sqrt(125))\/((-2*sqrt(12))\/sqrt(3))) + -2.\nAnswer: 441*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.95175ml in litres?\nAnswer: 0.07295175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/26 and -3\/170050.\nAnswer: 2210650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53201 (base 6) to base 4.\nAnswer: -1300201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/2, 0, 19 in descending order.\nAnswer: 19, 3, 3\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/22)\/((-406)\/(-1276))*287\/28*-14.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 17*p**2 + 3*p - 45. Let n be h(17). Suppose -n = -2*g + 24. Solve g = -7*m + 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 2738*v + 2042281. Determine o(610).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 2, w: 4, u: 3, h: 1, n: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -3 (c) 245 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12654*h + 25250*h + 2*h**3 - 12584*h - 277*h**2 + (h - 1 + 1)*(-h**2 - h**2 + h**2) to the form n + j*h**2 + z*h**3 + m*h and give j.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*w - 1066*w = -534*w + 836 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (15 - 5) + 2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 11. Is d bigger than 33\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 0.07 (b) -14 (c) -30 (d) -1\/6 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {i: 1, o: 12, w: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 759*g - 2. Is w(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376496699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**6\/120 + 7*k**5\/60 + k**4\/4 - k**3\/2 - k**2 - 1. Let b(a) be the second derivative of r(a). Let c be b(-6). Is -4 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2. Let h(p) be the third derivative of 1\/8*p**4 + 0 + 0*p + 0*p**3 - 103*p**2. Determine o(h(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(3645\/(-18))*(-50)\/(-20).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 3*u - 1. Let v be m(-3). Suppose -9*q + 23 = -v*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71\/18 in 18, -0.4, 4\/9, 0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/11 (c) -0.07 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-366)\/74 - (-406)\/(-7511) - (-21)\/4. Which is the fifth smallest value? (a) 0.04 (b) 2\/9 (c) 0.4 (d) q (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.57 - -0.56. Let z = -2.19 + m. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - z + 6*z**2 + 2*z**3 - 18*z**2 + 3*z**2 - 3*z**3 in the form a + d*z**3 + i*z**2 + l*z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = c - 17, 0 = -3*c + c + k + 14. Suppose -c*w = -0*w + 70. Let d(j) = j**3 + 17*j**2 + 19*j - 3. Is d(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (3 + -8)) + 1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20358759304441 + 0.1.\nAnswer: -20358759304440.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4ba4 (base 12) to base 4\nAnswer: -2012230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 39 + -61 + -4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1307 + -714. Let w = 7707\/13 - o. What is the smallest value in 37, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494161*h*q**2 - 477*h*q - 103*h - 724*q**2 + 407*q wrt q.\nAnswer: -988322*h - 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 102, 3, 4, 0, -2 in decreasing order.\nAnswer: 102, 4, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411 - 411 + 553*o)*(-1 - 1 + 4)*(33 - 33 + o).\nAnswer: 1106*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3 - g**3 - 8*g**2 + 4 - 1540*g + 1533*g. Suppose 2*z = 3 - 17. What is t(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -1. Calculate the highest common factor of 81 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000765928 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 - -150. What is the greatest common factor of 70 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6195196 litres in millilitres?\nAnswer: 619.5196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 4*s - 1. Let f(u) = 7*u + 2. Let g be f(-1). Let y be x(g). Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -64*o + 20. Let t(s) = -s + 1. Determine -h(m) + 20*t(m).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10708*g - 543*g - 14940*g + 3666*g + 2096*g.\nAnswer: -20429*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1670870 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 5*y**7\/42 - y**6 + 13*y**5\/4 - 5*y**4 + 10*y**3\/3 - 93*y + 2. Factor d(c).\nAnswer: 5*c*(c - 2)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253.9 - 252.9. Which is the nearest to -0.1? (a) 4 (b) -3 (c) w (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022980055 to 7 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (30\/210)\/((1\/(-6))\/(-1))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 32315 = -i, -64916 = -4*i - 4*g + 64416. Is 107 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -0.5, -4, 0.4, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*z - 83*z = 3474 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 248 in ascending order.\nAnswer: 1, 3, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 7:31 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1232202 (base 4) to base 2\nAnswer: 1101110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2040 and 32?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Let w(u) = -u**2 + 13*u - 8. Let g be w(12). Suppose 4*b - 5*q + 12 = -g*q, 0 = -r*b - 5*q + 12. Is b < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, r: 16}. Give prob of sequence rs.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 2. Let i = -31 - -67. Let r be 4\/10 - i\/15. What is the remainder when o(r) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4065934 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18159405 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 0, 2 in descending order.\nAnswer: 12, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1*3\/(-282)). Let w be 3\/5 - n\/(-10). Let v = -5 + w. Solve c - 4 = 3*u, -1 = -c - u - v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 68238*j. Let o(u) = -u**2. Determine t(o(r)).\nAnswer: -68238*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35856 and 594.\nAnswer: 394416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70901\/379824 + -1\/3088. Calculate the common denominator of 83\/15 and t.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3\/o*o*o**(3\/11)\/o)**(1\/25) assuming o is positive.\nAnswer: o**(36\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12))**2*1 + (sqrt(147) + 3 - sqrt(3))**2 + sqrt(3).\nAnswer: 37*sqrt(3) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 92 = 22*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(605) + (-2*sqrt(605))**2)*-1 + ((sqrt(605) - sqrt(605)*2) + sqrt(605) + -1)*-1.\nAnswer: -2415 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let q(h) = -4085*h - 95. Let u(p) = 340*p + 8. Let m(o) = -8*q(o) - 95*u(o). Calculate s(m(j)).\nAnswer: 760*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8, 2*w - 5*l + 6 = -2. Which is greater: 30\/67 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(152) - sqrt(152)*-1) + sqrt(152) + (sqrt(152) - 1*-1*sqrt(152)) + sqrt(152))\/(1*2*sqrt(1152)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(180) + -1*sqrt(180))\/(sqrt(9) - (sqrt(81) - 2*sqrt(81) - sqrt(81)))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -9*k**2 + 52*k + 12 = 0.\nAnswer: -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 - -244. Calculate the greatest common factor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147\/(-14)*2*12*1\/28?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 + -148. Put 7, 2, g in decreasing order.\nAnswer: 7, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 + 145 - (1 - -2 - -3 - (-4 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 6*n - 5. Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.306 - -0.156. Let i = q + -1.65. Put 0.5, i, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-351)\/468*1\/(-3). Is l greater than or equal to 1.723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4aaa + -351b?\nAnswer: -81c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 98.24196km?\nAnswer: 98241960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - o. Let i(y) = 4*y - 3. Let j(f) = 12*f - 8. Let d(r) = 8*i(r) - 3*j(r). What is n(d(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 2*k**4 - 949*k + 6 - 4*k**3 + 443*k + 504*k - 13*k**2 to w*k**4 + c*k + i*k**3 + d*k**2 + z and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 111*k**3 + 3*k**2 + 111*k.\nAnswer: -3*k*(k - 1)*(k + 1)*(k + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -65 + 55. Solve 3*h + k*n - 15 = -20, n - 17 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-24)\/h*h*h*h**(10\/7) assuming h is positive.\nAnswer: h**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 3. Let i be j(-4). Let l = i - 8. Suppose 329 = 2*g + 5*z, -2*z - l = -5*z. Round g to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 + -161.324. Let c = z - -0.4. What is c rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 514 and -4?\nAnswer: -2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -549 - -341. Let c = n + 209.11. Let w = c - 1.227. Round w to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 5:39 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (10 - (-7 + 4 + 6 + 0)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -t + 240 - 92. Calculate the remainder when 602 is divided by t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6704886 - 17970803 = -151*l + 5829482. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/5 - 274380*m**3 - 4115718*m**2\/5 - 4115724*m\/5 - 1371909\/5.\nAnswer: 3*(m - 457303)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*a - 86*a - 6 - 82*a - a**2.\nAnswer: -a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.98794271 to 4 dps.\nAnswer: 1.9879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8203913?\nAnswer: 79, 113, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 9*f - 3. Determine q(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -124614000 to the nearest one million.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5568585563 + -30.6\nAnswer: -5568585593.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/((-10)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:12 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/5, 1, 0.114 in increasing order.\nAnswer: -3, -2\/5, 0.114, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 932864 (base 11) to base 4\nAnswer: 11231133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 147d - -6?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**4 + 79*g**2 - 140*g + 11. Let w(v) = 13*v**4 - 158*v**2 + 280*v - 20. Let f(q) = -7*i(q) - 4*w(q). Find the second derivative of f(p) wrt p.\nAnswer: -36*p**2 + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -28.67. Let a = 0.07 - c. Let w = -6583\/2 - -3287. What is the third biggest value in a, w, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 27365931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/6*22 - 1 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -3) + 11 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.099, 5\/3, -3, 2\/17, 3, 5\/2 in decreasing order.\nAnswer: 3, 5\/2, 5\/3, 2\/17, -0.099, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.604 and -16159.7246.\nAnswer: -16159.1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2\/3 + 440*y\/3 + 148 = 0. Calculate y.\nAnswer: -1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnnh when four letters picked without replacement from {n: 2, h: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 270 - ((-3 - -1) + 2). What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/1512 - g**7\/315 - g**6\/270 + g**5\/45 + g**4\/108 - g**3\/9 + 8*g**2. What is f in k(f) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 312?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -4.95. Let a = -5.12 + i. Let c = 0.1200028 + a. Round c to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in -73, 5\/3, -1, -5?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2)*(-3 - 57\/(-15)). Let o be -3*(8\/z)\/(-2). Solve -4*t + 3*r - 5 = 0, 3*t + o*r = -2*t - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 24, 41?\n\"Answer: 17*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2*q + 2552464*g**2 + 584149*g*q**2 wrt q?\nAnswer: 3*g**2 + 1168298*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 7. Let n(z) = -8 + 2*z**2 + 8 - 6. Calculate -4*n(a) + 3*t(a).\nAnswer: -2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369 - -467. Suppose 3*h = -83 + t. Solve h*d - 23 = -m, -2*d + 2*m = 1 - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-5))\/((-6)\/(-15)). Suppose -4*m + z*b + 23 = -74, -2*m - b = -61. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 11 (c) 4 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**5 + 2*s**5 - 9*s**5 + (0*s**3 + s**3 - 2*s**3)*(-s**2 - s**2 + 0*s**2).\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3329370 - 1109630. Round z to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - y - 2*y = 18, 3*q + 2*y - 7 = 0. Suppose 3*r + 1 = -2. Sort q, 5, r in descending order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*g - 32*g - 2*t + 214, -2*t + 786 = 15*g for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = 3*y - 4*s, 0 = s + 4 - 5. Let o = y - -89\/2. Sort -0.4, 3, o.\nAnswer: o, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (41 - 29)) + 4 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 - 30*o - 6. Let f be u(7). Let n be (4\/f)\/(2\/5). Let y = -1\/26 - -15\/52. What is the nearest to 0.1 in 5, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 + 7*m**2 - 2*m**2 to the form i*m + a + n*m**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 3. Let v(n) = -n**2 + 1. Suppose 4*q + u = 4*u - 24, -4*q + 4 = 4*u. Let j(l) = q*v(l) + a(l). Let h(x) = 3*x. Determine h(j(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + g + 3*g - 5*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 + 1*-4. Let f be (-2 - (i + 0)) + -2. Let y be f + -1 + 5\/3. Which is the third smallest value? (a) -2\/11 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281*s**2 + 4041*s**2 + 5772*s**2.\nAnswer: 8532*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/42 + 3\/18. Solve 3*x - 2*r - 9 = l, 3*x + 64 = 4*r + 67 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -27.1. What is the nearest to l in -2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*b + 1)*((-b - 5 + 5)*(-5 + 5 + 2) - b + 2*b + 0*b) in the form n*b + o + r*b**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17\/7 of a week?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + b = 4*b + 18, -b + 6 = 2*y. Suppose 5*c = y*v + 63, -11 = -5*c - 4*v + 36. Solve 4*l - c - 5 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.09032 (b) -2\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18177, -18287, -18459, -18687, -18965, -19287?\n\"Answer: h**3 - 37*h**2 - 6*h - 18135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let f(l) = -l**3 + 3*l**2 + 3*l - 2. What are the prime factors of f(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v = -10. Let q be ((-10)\/4)\/(v\/4). Let z(w) = 3*w**3 + 5*w**2 + w - 6. Let b(p) = 1. Let h(l) = q*b(l) - z(l). Factor h(j).\nAnswer: -(j + 1)**2*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8344423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-8))\/((-12)\/(-128)). Suppose 2*q = 3*b + 53, 3*b = -q + 2*b + z. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.8. Let s = -1 + p. Let j = -5.5 + 2.5. What is the third biggest value in -4\/5, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 7:13 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 90*w**2 + 424 - 362*w**2 + 90*w**2 + 88*w**2 + 92*w**2 in the form l*w**2 + i*w + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 + 5064632*h = 0.\nAnswer: -2532316, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1855*f + 7140. What is o(-5)?\nAnswer: -2135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.3 (c) -780 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 2*g**2 - 4876*g**3 + 10107*g**3 - 4405*g**3.\nAnswer: 826*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(242))*-3*3.\nAnswer: -99*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539158 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1201759506 divided by 922302.\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8933 = 36*a + 8249 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 675641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-18)*-3*(-40 - 0). Let d = r - -23. Solve -4*w - 2*v = 6, d*w - 2*v - 1 = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*z**4\/3 - z**3.\nAnswer: -z**3*(74*z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) -1\/7 (c) 0.3 (d) -68 (e) -14 (f) 1\/4 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11656\/11656)\/((-2)\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o + 5022 = 3990 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419426135 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: Rearrange -1 + 8*c**2 - 28*c**3 + 40*c**3 - 27*c**3 + 8*c**2 + 0*c**2 to j + i*c + f*c**3 + d*c**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2172, 2304, 2530, 2856, 3288, 3832?\nAnswer: 4494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 - 121. Let t = -168 - o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852 + 4*c**3 - 8*c**3 + 76.\nAnswer: -4*c**3 - 776","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**2 - 9*x + 18. Let p = -190 + 193. Does 18 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 x when four letters picked without replacement from xmmmmmxmxxmmmxmmxxm?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - (-3 - (-28)\/1). Suppose 48 = 2*k - k - 3*o, 16 = -4*o. Let f = k + d. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*i + 20 + 1, -2*i + 28 = 4*q. Suppose -i*y + 188 = -2*y. Suppose -p = -m + y, -1 = p + 2. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-298)\/(-4))\/((-1)\/(-1)))\/((-7)\/(-5446)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 8*v**2 - 11*v - 2. Let q be t(-9). Suppose 4*s + 2*k = -16, 2*s + q = -2*k + 6. Let b be ((-24)\/3 - -7)\/(-1). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1309, -5235, -11785, -20965, -32781?\nAnswer: -47239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 540 and -0.082290263.\nAnswer: 539.917709737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, c: 1, n: 1}. Give prob of sequence qqq.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 divided by 2?\nAnswer: -503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*((-143)\/(-11))\/((-6)\/9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13056 and 112.\nAnswer: 91392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176944 is divided by 44212.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)\/o)\/o**(-1\/28)*(o**(-1\/4)*o)\/(o\/o**(-2\/37)))**(-43) assuming o is positive.\nAnswer: o**(129301\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 10 = -30. Let u = -22 + 17. Let g(a) = -a - 7. Let z(j) = -j - 8. Let c(i) = u*g(i) + 4*z(i). What is c(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 7995 = j. What is the second derivative of -204*m**3 - j*m + 11*m - 2*m**4 - 47*m**5 - 27*m**5 + 204*m**3 wrt m?\nAnswer: -1480*m**3 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 1.5261?\nAnswer: -30.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 25*j - 21*j + 4 + 0*j**2 - 2*j**2 - 8*j. Let k(l) = -9*l**2 - 21*l + 21. Calculate 4*k(h) - 21*z(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 14*k**3\/9 - 13*k**2\/3 - 4*k\/3 + 15. Solve c(s) = 0.\nAnswer: -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**0)**12 assuming a is positive.\nAnswer: a**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 16 = -2*g, -4*g - 194 = -4*j - 174 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103508, 206917, 310288, 413621, 516916?\nAnswer: 620173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 5, -64 in increasing order.\nAnswer: -79, -64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 + 99. List the prime factors of (-4)\/(-18) + q\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234407?\nAnswer: 29, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -222, -219, -216, -213, -210, -207?\n\"Answer: 3*z - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/3 - 21*z**3\/2 - 10*z**2 + 180*z - 2. Give m(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + x - 42 - 113, d + 3*x = 159. What is the highest common divisor of d and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 + 2 + 2 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one halves of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 2:15 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -134, -171, -186?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.270866 to three decimal places.\nAnswer: -0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 - 7 = 0. Do z and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 72*a**2 - 135*a - 955. What is n(74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(78)\/sqrt(12))\/(sqrt(4)\/(sqrt(8) - sqrt(2)) + sqrt(2)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(147)\/sqrt(3))\/sqrt(7) + (2*sqrt(112))**2.\nAnswer: sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15786936 and 5601816.\nAnswer: 173656296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v - 2705 + 3009 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565*i = -1579*i + 126 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 less than 0.11?\nAnswer: -1274.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**2 - 96*p + 4540. Let i(k) = -31*k**2 - 363*k + 18161. Let y(q) = -2*i(q) + 9*j(q). What is the derivative of y(l) wrt l?\nAnswer: -20*l - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5542.28 from -9.5.\nAnswer: -5551.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 236*n + 296. What is the remainder when h(3) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = -11. Let x be -2 - (-2)\/(4\/q). Sort -1, 0, x.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 81, 150, 243, 366, 525?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 2*y, 0 = 2*y - 0*y + 8. Let m be -1*(x - 2) + 2. Suppose 1 - m = h - r, -5*h - r - 22 = 0. Let t(g) = g**2 + 3*g - 3. Give t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-150))\/((12\/(-50))\/(-3))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162230641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 3*c - 14*c + c + 9*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(5) + (sqrt(120)\/sqrt(2))\/sqrt(12))**2*1 - ((sqrt(605)*2)\/sqrt(11))\/(2*sqrt(11)*-5))*-6.\nAnswer: -270 + 594*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1668433 (base 10) to base 16\nAnswer: -197551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.0416, -1\/2, -234, 3\/5, -1?\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 + 1764*m**2 + 279180*m + 5725728 = 0.\nAnswer: -282, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 - 3*z + 4. Suppose 2*g - w = 13, -3 = -g + 4*w + 21. Calculate q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd67f (base 16) to base 5.\nAnswer: 213010004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 295, 962, 2259, 4396?\n\"Answer: 35*o**3 + 2*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 8, q: 3, x: 7, e: 2}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 240*h + 7938.\nAnswer: -2*(h - 147)*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -1 - 0\/2. Suppose -q = j - 8. Let y = -105 + 105. Put y, -4, j in ascending order.\nAnswer: -4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*m + 44 = 81*m. Let s = m - 38. Factor -25*x**4 + 9*x**3 - 28*x**4 + 50*x**4 - s*x**2.\nAnswer: -3*x**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 20. Let m be t(11). Let j be (m\/4)\/(16\/(-160)). Let u be j + -1 + (-200)\/(-2). What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.25 and -8.\nAnswer: -9.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515 - 514.8. Let d = 26 + -59. Let w be (-11)\/d - (-7)\/(-39). Which is the closest to -0.6? (a) -0.5 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -12. Which is the nearest to i? (a) 1 (b) 1\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vztuziztziiuuqzuzv. What is prob of picking 1 i, 1 z, and 1 u?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -20*j + 8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 + 23 = 0. Let x(m) = 4*m - 2*m + 8 - 2. Let w(a) = -6*a - 17. Determine t*x(n) + 4*w(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2778, 11416, 25820, 45990, 71926, 103628?\nAnswer: 141096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.566 + -0.066. Let k = u + -20. Which is the nearest to -1? (a) k (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 52068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 - 2*b**3 + b**2)*(0 - 6 + 5)*(-402 - 479 + 128)*(3*b - 4 + 4) to the form g + n*b**4 + p*b + r*b**3 + t*b**2 and give n.\nAnswer: -4518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 a when four letters picked without replacement from aaaaiiiaiaa?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*d**3 + 159*d**3 - 3 + 12*d**2 + 154*d**3 - d to the form h*d + v*d**2 + y + o*d**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -4) + -6 - 64 - -10) + 2 + 5\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -97. Sort r, -9, 3 in descending order.\nAnswer: r, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((-7445060)\/5831)\/(-71)\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/2100 and 82\/21.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1532 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 46 = 3*p + 11, -3*p + 27 = 3*q. Suppose 2*o - 3*f = 30 + 37, 2*o - 27 = -p*f. Calculate the remainder when o is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 5 - 5)*(4512*j + 104*j - 302*j).\nAnswer: 4314*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 47. Calculate s(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -80\/599?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 417 = -97. Let w = h + 33. Solve w = 5*a - 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 61 (c) -2 (d) 57\/2 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 9. Let d(b) = -3*b + 9. Calculate -5*d(v) - 4*h(v).\nAnswer: -5*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1, 2 in ascending order.\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2. Let t be j(1). Let r = 55 + -39. Let m = r + t. What is the least common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151886679?\nAnswer: 2851, 404029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124 is divided by 2105?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -15*h + 360. Suppose 0 = 2*s - 5*o - h, -3*o = 3*s - 2*o - 146. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.64 - -0.018\nAnswer: -24.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629249 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -372 + 172 + 156 - 5*p - 2*p - 2 + 2 + (-p + 4 - 4)*(-2 - 1 + 5) - 3*p - 6 + 6.\nAnswer: -12*p - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, 67, 988, 2839, 5944, 10627, 17212?\nAnswer: 26023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u + 13. Let j be h(-13). Let w = -167 + j. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 1. Let t be g(-7). Let h = 1 + 1. Calculate the highest common factor of h and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9632849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9456 + -9507. What is the third smallest value in -0.3, i, -4, 4\/5, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = q. Let n(d) = 0 - 1 + 2. Let s(f) = -2*f. Give q*s(r) + 2*n(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 14 = 9*m. Sort 1\/6, 5, m, 0.5 in decreasing order.\nAnswer: 5, m, 0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -232*s**2. Let d(z) = z. Determine q(d(v)).\nAnswer: -232*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-15)*-1*(-1917)\/(-23856).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 8. Let r be z(-9). Let i(k) = 42*k - 1. Does 23 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -635\/213?\nAnswer: -635\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + (-1*(sqrt(68) + sqrt(68)*-3)*3)\/(-6*(sqrt(32)\/sqrt(2) + sqrt(16))))**2.\nAnswer: 81\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 22*t**2 + 40*t + 4. Let a be d(-20). Suppose 316 = g - 4*h, -a*h - 698 = -3*g + 242. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u**2 - 49*u + 55. What is the thousands digit of t(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 2*u + 0 + 1\/6*u**3 - 1\/8*u**4 - 2\/15*u**5 - 4*u**2. What is i(2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 - -232. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797239?\nAnswer: 29, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5.82067 times -0.015\nAnswer: -0.08731005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111100010011 - 10?\nAnswer: 111111100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000120678 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j)**(-1\/4)*j**(-1)\/(j\/((j*j**(2\/115))\/j)*j) assuming j is positive.\nAnswer: j**(-4691\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1896, -4104, -6288, -8436, -10536?\n\"Answer: 2*w**3 - 2222*w + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91, -97, -103, -109?\n\"Answer: -6*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/2793 and -23\/189.\nAnswer: 25137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -409194562*h**5 - 13498968*h**2?\nAnswer: -24551673720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 - 85292*i - 312 + 312 + 85292*i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -19, -23, -27?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*w - 5*w - w**4 + 2*w to z*w**2 + b + h*w**4 + j*w + s*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - -48. Suppose 100 = 4*j - n. Differentiate 2 + 65*m + j*m - 85*m wrt m.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524244 is divided by 1204?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*4\/6 - 1. Let t = 5 + p. Let v(h) = -3 - 6*h - 13*h**2 - 1 + 12*h**t. Determine v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10563*i**2 - 12780*i**2 + 23333*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(468)*-1)**2 - ((sqrt(468) - (sqrt(468)*-1*-2 - sqrt(468))) + sqrt(468))) + 5.\nAnswer: -6*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/672*7*(16 - 15).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1824\/13 + -81049\/572. Calculate the common denominator of 81\/44 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20964486 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 - -144311135?\nAnswer: 144311310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 - 429 - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 50\/1087 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 8*y**2 + 2. Let z be (-64)\/(-12)*(-3)\/(-2). Let n be a(z). Let j be 1*((n - 1) + -3). Is j bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27530*j**4 - 300*j**3 - 13883618*j wrt j.\nAnswer: -330360*j**2 - 1800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 101\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159.897862 - 159.9. What is j rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -187501.15 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 137 = 137*v + 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5831, -11687, -17493, -23219, -28835, -34311, -39617?\n\"Answer: 5*o**3 - 5*o**2 - 5876*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8916794 and 71271.\nAnswer: 80251146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 30*i**3 + 6*i - 14. Let u(r) = 10*r**3 + 2*r - 5. Let v(p) = 5*o(p) - 14*u(p). Find the second derivative of v(n) wrt n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -449, 3, 1, -4.\nAnswer: -449, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 28\/2)\/(-1). Let d = -2 - t. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/20*(-1640)\/(-205).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-34) - (-35)\/(-595).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 28. Let o = f - -4. What is the lowest common multiple of o and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8*v + 24 = 0. Solve 6 = -v*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(1300) + -1 + sqrt(1300) - sqrt(1300))*-6*6)**2.\nAnswer: -414720*sqrt(13) + 26977536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/205283 and -34\/18743917?\nAnswer: 243670921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*a + 2*a = -441, 15 = -5*a. Let c(x) = 3*x**3 + 8*x**2 + 8*x + 7. Let s be c(-5). Let u = q - s. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1\/598, 0, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 16 = -4*w, 14*w = 12*w - 2*t - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 times -0.063?\nAnswer: -68.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -255*r**2*w - 3*r**2 + 2574*r + 235*w - 4 wrt w?\nAnswer: -255*r**2 + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*z + 40 = 5*z, 0 = -5*p - 4*z + 37. Suppose -s - p = -7. Solve 10 = s*o + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649593 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/112 + 174\/464?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70328 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 + r + 7. Let h be t(5). Let s be h\/14 - 4\/(-14). Let u(c) = -c**3 - 7*c**2 - 6*c - 1. Give u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + -3 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -54 (b) 2\/3 (c) 2\/5 (d) 0.3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*c + c - 4*c)*(2 + 1 - 1) - c - 7 - 3 - 3)*(3*c - c - c) + 0*c**2 - 4*c**2 + 5*c**2.\nAnswer: 2*c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1 + -2)\/(-6))\/(1\/(-2500)). What is the units digit of -3 + o\/(-14) + 2\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -166 (b) 2 (c) -0.3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43526 is divided by 1279.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 3*b + 4. Suppose -a = -3*a + 848. Let v be a\/36 - (-6)\/27. Suppose 2*p + v = 5*p. What is h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-14)\/(-2) - (-142 + -27))*1 is divided by 66.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/301 + 545\/903. Let r(m) = m - 6. Let p be r(8). Let n = 2 + -3. What is the third smallest value in 3, p, n, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 203. Suppose -f + 2*c = 6*c - 63, -2*c + 67 = f. Let v = m - f. Solve 0 = -2*n - 4 - v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 3*k - k)*(0*k - 2*k + 4*k)*((-1 - 2*k**2 + 1)*(4 + 1 - 3) - 23 + 11*k**2 + 23).\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 8, v: 2, o: 1, g: 4}. Give prob of picking 2 g and 1 j.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 - 12*q**2 - 2*q + 4. Let h be v(-5). Let f = h + -214. Solve f = 2*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 455127 = 19*v - 43*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2698111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 2, -4 in increasing order.\nAnswer: -4, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13481659 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + -33. Let w = -19 - u. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1590, 3233, 4876, 6507, 8114, 9685?\nAnswer: 11208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/128)\/(27\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 448\/80*(-35)\/(-2). Calculate the greatest common factor of 140 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 7) + (-4 - -1389 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 64. Let y be (4\/d)\/2 - (-146)\/10. What is the highest common divisor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 2175*i**3 + 10800*i**2.\nAnswer: 3*i**2*(i + 5)*(i + 720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 2. Let t be f(5). What is the third derivative of -4*z**2 + z**2 + z**t - 2*z**3 - z**2 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*u + 10. Let q = 451 + -326. Calculate the greatest common factor of u and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4664 = 4*h - 2*h. Suppose -12*u - 6332 = h. Round u to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 108. Let i(z) = p - 1 + 0 + 6*z - 1. Let b(a) = a. Determine i(b(u)).\nAnswer: 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u - 3*t - 348 = 0, t = u + 122. Let f be (4\/7)\/((-34)\/u). Solve -h = -f*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5))\/((-14)\/(-63)) + 6\/(-3). Let s = 1\/175 - -697\/525. Let u = 9 - 5. Which is the closest to u? (a) g (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*u + 19 = -822*u + 1647*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(315\/14)\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4512250 - 11?\nAnswer: -4512301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5 - 7 = 0. Let i(h) = 13*h + 3. Give i(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhohoyyy. Give prob of sequence hh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Let g(k) = 6*k - 34. Let p be g(6). Let r be (p + -1 + 0)*(-12 + 12). Solve -4*u + v - 24 = r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*k + 4*k**2 + 38*k**4 + 282*k**3 - 152*k - 5 - 281*k**3 in the form r*k**4 + x + b*k**2 + q*k**3 + c*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -61. Suppose -k + 0*k + 2*w - 54 = 0, -5*k = 4*w + 200. Let s = k + 297. Calculate the highest common factor of v and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 146. Let h = d - -45. Suppose -h + 9 = -6*i. Sort 2, i, 3 in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let s = l - 0. Find the third derivative of -o**2 + 0*o**3 + 0*o**2 - o**s - o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8881 + -16630?\nAnswer: -24401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -11*v**4\/4 + 12*v - 13. What is the derivative of n(i) wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(25*n - 8*n + 24*n)*(-2*n**3 + 440 - 891 - 337*n + 449).\nAnswer: -164*n**4 - 27634*n**2 - 164*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2. Let d(b) be the third derivative of -17*b**4\/24 + 28*b**2 - 2*b. Give r(d(x)).\nAnswer: -2312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*z + 11128 - 9384 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 5*p**2 + 14 - 7*p - 9 - 10. Let x be (2 - 2) + 0 + 5. Let v(z) be the first derivative of z**3 + 3*z**2 + 4*z - 1. What is x*v(n) + 4*b(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10286 + -9593. What is the greatest common divisor of y and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 12*a - 59. Let l be t(13). Let u be ((-21)\/(-4))\/(5\/20). Suppose u*f = 22*f - l. What is the greatest common factor of f and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/4)\/((-2)\/(-11)). Let f = 51 + -35. Let n(x) = -x**3 - 3*x**2 - 5*x - 2. Let h be n(-2). Solve -5*j = -2*a + o - 1, 0 = -h*j - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/(-21))\/(12\/(-6)*7\/14)?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1230*c**2 + c + 1218*c**2 - 2*c + c. Let d(y) = 9*y. Determine d(n(s)).\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.762 - 3.162. Which is the closest to -1? (a) k (b) 2\/1495 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 2. Let p be n(2). Suppose -w + 3*l = -p, -l + 0*l - 16 = -5*w. Suppose 2*v - 4*m + w = 7, -3 = -2*v + 3*m. Which is smaller: v or 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/7)\/2*(-2)\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/30 - (-15)\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 6. Let p be m(-6). Let d(l) = -l. Let q be d(p). Solve 3*n - 9 = q, 3 = -3*o + 5*o - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 8046.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-23))\/f*f*f)\/f*f*f*f**(-7\/8) assuming f is positive.\nAnswer: f**(-167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-13 - (2 - -3)) - -5 - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 4*g + 11*g)*(-1 - 2 - 1) - g - 3*g + 5*g.\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*l - 5*c + 166, 3*c + 6 = 0. Let t be ((-2)\/4)\/((-1)\/(-44)). Let m = t + l. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.9 + 30. Let l = 2024041.899988 + -2024037. Let x = l + u. Round x to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1557\/(-21798))\/((-8)\/14)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7409188.4 rounded to the nearest one hundred thousand?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -125*x. Let b(m) = 7*m**2 + 44*m. What is j(b(a))?\nAnswer: -875*a**2 - 5500*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 11*g - 7. What is the smallest common multiple of 10 and m(-9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - 24*m + 4. Let s(q) = q**3 + 3*q**2 + 25*q - 3. Let p(k) = 4*s(k) + 3*v(k). What is the second derivative of p(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let a = 1.21 + -1.31. Let z = -297 - -303. Put j, a, z in ascending order.\nAnswer: j, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5652 and 91\/9420.\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1556*n**3 + 117*n**2 - 3?\nAnswer: 9336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858325453?\nAnswer: 858325453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46568773 is divided by 1551?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**2 - 2 + 0*c**2 + 4 + (-20*c + 10*c + 5*c)*(-11*c + 8*c - 14*c) to d + h*c + l*c**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, r: 3}. What is prob of picking 2 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*v**2 + v**2 - 10*v**2 + (0*v - 2*v + 0*v)*(227 - 98*v - 227) in the form i*v**2 + u*v + y and give i.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -418 divided by -7348\nAnswer: 19\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l*l\/l**(-8))\/(l**(1\/10)\/l**3) assuming l is positive.\nAnswer: l**(89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -82546 (base 14) to base 12\nAnswer: -13176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/20 - t**4\/2 - t**3 - 5*t**2 - 2*t. Calculate a(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 10. Let f be x(9). Let t(y) = -11*y**3 - y - 1. Let o be t(f). Suppose 2*a + 4 = -h + o, -23 = -4*a + h. Solve 0*p - a = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98973 and 105?\nAnswer: 494865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 3184849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -0.3. Let h = s - 0.9. Let f = -0.1 + 0.2. Is h >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 201\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {h: 1, o: 1, m: 1, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -202245, -1 in decreasing order.\nAnswer: 0, -1, -5, -202245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:29 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by (-495)\/22*(-4)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690057, 690058, 690065, 690084, 690121?\nAnswer: 690182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (2560\/(-120))\/((-4)\/360*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d + 2*d**3 - 17*d - 10 - d**3 + 7*d**2. Calculate the remainder when w(-7) is divided by 524\/22 + (-10)\/(-55).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**2 - 180*n - 380 = 0.\nAnswer: -2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 401695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13704, -24513, -35332, -46167, -57024, -67909, -78828?\nAnswer: -89787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -30. Put -2\/5, 10, d, 2\/3 in ascending order.\nAnswer: -2\/5, d, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4122)\/3*-2 - -1. Let x = -496 + d. Let w = x + -36097\/16. What is the common denominator of w and -21\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m**(-1\/2))\/m)\/m)\/(m\/m**(1\/9))*(m\/(m**1\/m*m))**(-22) assuming m is positive.\nAnswer: m**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - -1) + (8 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/83, 1, 0.17, 1\/4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5274 is divided by 164?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-48 - (18 + (-37 - -27))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4523195 and 2.885?\nAnswer: 4523197.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, -2, 1 in descending order.\nAnswer: 1, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 6*s = j - 35, 5*s - 2*j = -85. Let y(m) = -2*m + 36. Calculate the remainder when y(s) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -65, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from gggpgagappagapp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.9. Let k be (12\/(-8))\/((-6)\/16). Are k and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191\/1435 - 2\/205. Let r = -766 - -765.6. What is the smallest value in r, -0.02, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42702589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-12) + 2\/6. Let n = 11097.05 + -11097. Which is the nearest to n? (a) y (b) 5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + f + f**2 - f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -14*p - 16. Let y(x) = x**3 + 5*x**2 - 2*x. Let o be y(p). What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 + 133 - 2*a + 132.\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (36 + -100 - -60).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(-16)*(b*((b\/(b**(-40)\/b))\/b)\/b)\/b**34 assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**2 - 3*t + 4. Calculate a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2640470, -2640476, -2640482, -2640488?\nAnswer: -2640494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14d1 (base 14) in base 2?\nAnswer: 111001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/22)\/a**9)**(1\/3)\/((a*a\/((a\/(a\/(a*a**3)))\/a)*a*a*a\/a**0)\/(a**(1\/11)*a**(-1\/5))) assuming a is positive.\nAnswer: a**(-1681\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492736 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56723, 56722, 56721, 56720, 56719?\nAnswer: 56718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 + 0 = 0. Let k = 1184272\/5 - 236854. Which is the closest to 78? (a) 0.1 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3168 * 32095\nAnswer: -101676960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.312 plus 41329?\nAnswer: 41341.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30460, -3, 2 in descending order.\nAnswer: 30460, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = -3*b, -2*b = -3*v + 6*v + 10. Let q(m) = -975*m + 982*m - 11 + m**2 + v*m**2. Give q(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -8, -0.156 in increasing order.\nAnswer: -8, -0.3, -0.156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkuh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/20 + 5*i**4\/12 - 7*i**3\/6 + 5*i**2\/2 - i + 145. Give u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-1\/26)\/(z**(5\/2)\/z*z**(3\/2)\/z) assuming z is positive.\nAnswer: z**(-51\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 9:21 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.13 in 0, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*(1 - (-16)\/(-24)). What is the fourth biggest value in 3\/4, -2, -0.0295, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 + y + 1. Let d be g(-1). Find the second derivative of d*k**2 + 8*k - 7*k**2 - 10*k**2 wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2. Let f(i) be the first derivative of 0*i + 5\/2*i**2 - 7. Give n(f(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:05 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -18*f + 112. Let u be i(6). What is the thousands digit of -4 + (-152400)\/(-102) + u\/(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42185 minus -4.55?\nAnswer: 42189.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/226065 + 150716\/678195. Find v such that -c*v**2 + 2\/9*v**3 + 2\/9*v**4 + 0*v + 0 - 2\/9*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106896 divided by -524\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/7, 1\/3 in decreasing order.\nAnswer: 0.5, 1\/3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -924 divided by -42\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 12:05 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8860, -6\/11, -5\/4, -4 in ascending order.\nAnswer: -8860, -4, -5\/4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/343 and -75\/4?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*v = -6, 4*v = a - 4*a + 3. Let m(t) = -t**3 + 5*t**2 + 2*t - 7. Calculate the remainder when 6 is divided by m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*x - 2*x, -f + x = -18. Suppose 26*b - 20185 = f*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -24. Find the first derivative of 8 - 2*t + 2*t - 7*t**u wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + m**2 - m. Let i be d(1). Let g = i + -11\/3. What is the third biggest value in -4, g, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 3.1 in decreasing order.\nAnswer: 3.1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700015 = h + 3*q, -2*h = 2*h - q + 2799995. Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4765514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06839545092 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3221036\/21 - (-3)\/9. Let i = -63383 + z. What is i rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 20 = t. Let d = t - 1. What is the least common multiple of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexeexxe. What is prob of picking 2 e?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*s = 4, -717*w + 12 = -723*w + 3*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12834, 51443, 115808, 205935, 321830, 463499, 630948, 824183?\nAnswer: 1043210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {o: 1, x: 2, y: 2, t: 1, r: 2, g: 7}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:20 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, 490, 399, 128, -407?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3569 - 2037. What are the prime factors of i?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1\/13)*(y**(1\/19)\/y)\/y*y*(y*y*(y**(2\/3)\/y*y)\/y*y*y)**(-38))**(-3\/11) assuming y is positive.\nAnswer: y**(102523\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 14) in base 8?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.09 - -11. Let j = -0.06 - t. What is the closest to j in -1, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 2*c**2 - 2*c. Let m be 1\/(21\/(-18))*-7. Let p(j) = 7*j**2 + 3*j - m*j**2 + 2*j - 4*j. Determine -g(r) - 2*p(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1414351434 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 3*y - 255. What is the common denominator of (y\/(-8))\/(54\/72) and -95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 374876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*q + 175*q = 283356. List the prime factors of q.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-91)\/(-21) + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90265401, -90265403, -90265407, -90265413, -90265421, -90265431?\nAnswer: -90265443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrlrbbrbrblbbrbb. What is prob of picking 1 l and 2 r?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 80\/(-7) + 74\/(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1518174.45495917763 - -91.24504602237. Let s = b + -1518265. Let w = -0.7 + s. What is w rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/(-72) - -3*4\/48. Let i = -18.745 + -0.155. Let y = i - -19. Which is the nearest to j? (a) -2\/3 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632385237?\nAnswer: 3, 11, 19163189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 15*v**3 - 28*v**2 + 11*v - 55. Let r(p) = -7*p**3 + 12*p**2 - 5*p + 28. Calculate 3*h(f) + 7*r(f).\nAnswer: -4*f**3 - 2*f + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 + 4*h + 3. Let k be y(-1). Let n be 2 - ((-16)\/4 - 9). Let i(j) = -j**3 + 14*j**2 + 13*j + 32. Let p be i(n). Solve -p*b + 6 = -k*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.8. Let n = -833 + 795. Which is greater: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*h**2 + 3*h**6 - 11*h**6 - 2 + 2 wrt h.\nAnswer: -960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6970*l + l**3 - 6970*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-45))\/(3\/(-9))*(-65)\/(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/3))\/z**23*((z*z*z**(-21)*z*z)\/z)\/z**(14\/5))**(2\/7) assuming z is positive.\nAnswer: z**(-1304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2202*c - 17624 = 1943*c + 8276 for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-13)*o)**(1\/22) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 36 = 7*h. Let t be (-3 - 0)\/(h\/8). Solve -3*n - 2*f + 6 = -5, -5*f - 1 = -t*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -15 - (3 + 3)) + 2 + 0\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose 4*o - 80 = 4*s, -o = -6*o + 2*s + 100. Solve -3*u = 2*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epep when four letters picked without replacement from peepppppppeepe.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1 - 6 = 0, -k - 3*b = -1. Let t be 2 + -1 - (-2 + 5). Let x be -5*((-1 - -2) + t). Solve -k*z - x = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 10. Let w(r) = 4 - 2 - 1. Let k(t) = -i(t) + 10*w(t). Let h(d) = 5*d - 7*d + 5*d. Calculate h(k(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*o - 8 + 703 = 0, 5*o = -5*j + 1185. What are the prime factors of j?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 219\/27 + (-1 - 4). Let o = r + -122\/45. Factor 1\/5*n**5 + 1\/5*n**2 - 3\/5*n**3 + o*n - 1\/5*n**4 + 0.\nAnswer: n*(n - 2)*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -206*h**3 - h**2 + 3*h - 3. Let d be i(1). Let f = d + 212. Solve -f*b = -3*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799693.\nAnswer: 367, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 30314 + 30308 = -2*s, -4*l - 22 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/513 and -103\/5544.\nAnswer: 316008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 3*b = 34248. Suppose 6345 = 5*k + m + 639, b = 5*k + 3*m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3054 = 142*z + 876*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -134668, 3 in descending order.\nAnswer: 3, -0.3, -134668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqtrrnr. What is prob of sequence qrr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -0.019?\nAnswer: 0.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.052992 + 102370533.\nAnswer: 102370533.052992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -32*l + l**3 - 2*l**3 - 39*l + 106*l - 36*l. Let b(r) = -8*r**3 + r**2 - 7*r. Calculate b(y) - 6*s(y).\nAnswer: -2*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -47. Suppose 3*o = -3*i + 3378, -3*i + w*i - 4490 = 3*o. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16165, 3, -13, -1 in decreasing order.\nAnswer: 3, -1, -2, -13, -16165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*p + 608, 2*p - 7*p + l = -1014. Suppose 3803 = 16*s + p. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 850, 1615, 2824, 4609, 7102?\nAnswer: 10435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 1.6. Let i be 1\/(-7)*(4 + -6). Which is the second biggest value? (a) r (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -21) + (2 - 7\/14) + 5\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2777261*k**4 + 2*k**2 + 725770*k.\nAnswer: -66654264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 8, 1, -20, -61, -128, -227?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 + 11*o**2\/2 - 2*o - 286. Determine d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221*x + 69925 - 69925)*(3*x - 25 + 25).\nAnswer: 663*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - -36. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 565*s**2 + 7*s - 29. Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -93439328 and 1.69?\nAnswer: 93439329.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 55 + 1589. Suppose 2*i + 128 - 514 = -4*p, r = 2*i - p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + ((-86)\/6)\/(5\/(-180)). Let s = m + -420. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 g when four letters picked without replacement from ggggggglgllg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - ((1 - 20) + 24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.5 in -4, 0.7, 0, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 - 4. Suppose -47*v = 8*v - 220. Which is the third smallest value? (a) -0.3 (b) -11 (c) v (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85856 - -47054. Let i be 1\/(-2)*l\/(-63). Let t = i - -308. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*k - 2*v - 0 + 15, 0 = -k + 4*v - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -4, 1\/2, -0.8, -3.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435778 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*d + 137*d - 199*d - 88*d.\nAnswer: -317*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72741457 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/1785 + 49*c**6\/510 - 2677*c**5\/510 + 1127*c**4\/17 - 6348*c**3\/17 - 2*c**2 + 1715*c. Factor n(q).\nAnswer: -2*(q - 46)**2*(q - 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 460*b**2 + 7536*b + 23040.\nAnswer: 4*(b + 4)*(b + 15)*(b + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*5*(-15)\/75. Find s, given that -6\/19*s**3 + 0*s**2 + 10\/19*s**4 + j*s - 4\/19*s**5 + 0 = 0.\nAnswer: 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 15*h**2 + 3*h + 15. What is the tens digit of n(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47157 and -1589?\nAnswer: -74932473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 3. Let l be i(4). Solve l*y + 2 = 6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-2*6*(sqrt(1584) + -4*(sqrt(1584)*1)**2).\nAnswer: -720*sqrt(11) + 380160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.1. Suppose 0 = 5*u + 2*w - 80, -14 = -4*u - 4*w + 38. Suppose -2*o + u = 2*v, -3*v + 2*o = -3*o + 5. Sort b, 3, v in increasing order.\nAnswer: b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104246 is divided by 548.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**4\/4 + 5*y**3\/3 + y**2\/2 + 7*y - 1. Let p be d(-5). Suppose -1 = -p*k + 3. Calculate the remainder when 3 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 5898806545181852*g**2 + 5898806545181851*g**2 + 4*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/((-69)\/92))\/((-12)\/9*7))\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573 - -282374.\nAnswer: 282947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269848.\nAnswer: 2, 158731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5827.8 and 61.2.\nAnswer: 356661.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2274961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -21. Suppose -o*s = 2*s + 12. Which is smaller: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 8*q**2 + 19*q - 63. What is p(5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354496 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -185965, -185823, -185599, -185293, -184905?\n\"Answer: 41*f**2 + 19*f - 186025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 + 0*y**2 - 2*y**2. Suppose 5*w - 21 + 6 = 0. Let q(b) = w*b**2 - b**2 - 4*b**2. What is g(q(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15) + (-32)\/(-55). Let b(q) = -q - 1. Let l be b(-2). Let d be l + -3 - (2 - 3). Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 2139*g - 2140*g = -72, -10*t - 24 = -2*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 4*x + 3*v, -4*x + v - 208 = -13. Let j = -47 - x. Suppose j*s + 198 = 5*s. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10*42\/(-28))\/((-3)\/(-2)). Let f(j) = j**2 + 14*j - 2. Determine f(q).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8382074 millennia to centuries.\nAnswer: 8.382074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4\/5 - 6*a**3 - 71349*a**2\/5 + 569664*a\/5 + 1195236 = 0.\nAnswer: -153, -6, 14, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from gvgvgyf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 90 - 94 = 0. Suppose 4*d = g - 22, 62 = 5*g - 0*g - 4*d. Suppose g*u = 7*u. Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/25 or -2\/227?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119938 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 61 + 5*u)*(-17 + 27 - 15) - 2*u + u - u.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11050*f - 220991. Give i(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17458, -34920, -52384, -69850, -87318, -104788, -122260?\n\"Answer: -v**2 - 17459*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 6}. Give prob of sequence gmmg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 0 - (76 + -58 - 20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38435 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1581 and 30\/31?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4\/4 + 623*q**3\/4 - 43005*q**2\/2 - 2674304*q + 1073152 = 0.\nAnswer: -128, 2\/5, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (607 - 610)*4\/(-27). Which is the nearest to -0.5? (a) 1 (b) 5 (c) 6 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z - y + 4, 0 = 3*y + 9. Is z at most -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vpxvvvxvvpxvvxpp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17409059180 minus -2?\nAnswer: 17409059182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87319?\nAnswer: 29, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267482 - 0.2.\nAnswer: -267482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 5, -7.\nAnswer: -7, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 9654 = -2*g, 4852 = x - 4*g. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -396, -783, -1162, -1533, -1896?\n\"Answer: 4*w**2 - 399*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**8\/12 + x**7\/70 + x**6\/60 - x**4\/24 + 1657*x**3\/2 - 5702*x**2. Find the second derivative of m(z) wrt z.\nAnswer: -560*z**3 + 36*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/((-26)\/(-91))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 91, 175, 261, 349, 439?\n\"Answer: q**2 + 81*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 4, -62.\nAnswer: -62, -41, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3336, -6703, -10098, -13533, -17020, -20571, -24198, -27913?\nAnswer: -31728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d + 10*d - 7942. Calculate the remainder when d is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -959\/30 + 32. Let t(o) be the second derivative of -o + 0*o**3 + 0 + 0*o**2 - 1\/50*o**5 - n*o**4. Factor t(v).\nAnswer: -2*v**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*w = -0*w + 2, 5*k - 2*w + 2 = 0. Suppose -5*h - 5*j + 15 = k, 2*j + 0*j = 3*h + 16. Sort 4, -5, h in ascending order.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.4 + -22.4. Put -1\/24, 2\/15, z in decreasing order.\nAnswer: z, 2\/15, -1\/24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 + 6*l + 3. Let i(b) = b**2 + 2*b + 1. Let c(f) = -3*i(f) + s(f). Let y(v) = -3*v**2. Calculate y(c(p)).\nAnswer: -588*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(210\/28)*1903\/2. Let v = n + 3307. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -30, -90, -204, -390, -666, -1050, -1560?\n\"Answer: -3*j**3 - 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550756, -2203024, -4956804, -8812096?\nAnswer: -13768900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t. Let q = -43 - -45. Let x be y(q). Sort -3, 5, x.\nAnswer: x, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - s = 1, -s = j + 3*s + 4. Let r be 1\/(j + 5\/(-55)). Let k = 34 + r. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -425*i**2 - 1. Let b be t(-1). Suppose 638 + 272 = 35*y. Let v = y + b. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.6, 5, -0.1, 2\/5, -1.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6746905 millimeters to meters.\nAnswer: 0.0006746905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**10)\/((m\/(m\/(m*m\/m**(1\/19)))*m)\/m))\/((m*(m**2*m)\/m*m)\/m)**(-2\/111))**(-46) assuming m is positive.\nAnswer: m**(-294492\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, w: 5, r: 1, k: 1, f: 2, v: 3}. What is prob of sequence jjfk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2094 + -1459. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0330919103 to six dps.\nAnswer: -0.033092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 61761.\nAnswer: 494088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) -507 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.69 - 0.46. Let q = 3.15 + o. What is the nearest to 1\/2 in -2, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 8*q - 7. Let n be u(-9). Let y be -5*1\/(20\/(-8)). Suppose -y*h = n*h - 196. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t = 71*t + 1130 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 - (-8 + 2 - -3). Find the common denominator of 8\/j*(-249)\/10 and (0 + -1)\/(160\/(-124)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 128?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14981455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 482385919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 16*m + 40. Let s be c(-18). Solve -s + 1 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*o + 55, 87 - 69 = 2*l - 17*o + 258 + 125 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -2\/3 (b) -2\/13 (c) 0.5 (d) -5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 + -67. Let s = g + -232.9. What is the nearest to s in -0.1, -1\/5, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 98*x**2 + 303*x + 14926. Calculate v(93).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 104 + 208 - 108. Let b be p(2). Suppose 4*t + 3*y - 609 = b, 0*y - 151 = -t - y. Is 39 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -62) + 2 + -43 + (-6 + 5 - 3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 16*i - 27. Let k be s(8). Which is bigger: k or -29?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*y - 9746 = -15726 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1060 greater than or equal to -83717\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143 - 2057?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-1 + 9 + (-31 - -27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 312*s**2 + s - 15. Let h be l(7). Suppose -4*q - 4*g = -h, q - 4*g - 5661 = -1836. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7662.433 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 26*b + 8. Suppose 3*h = -4*r + 251, -42 + 370 = 4*h + b*r. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1)*(2*x**4 - 3*x**4 - 2*x**4) + 12*x**4 - 13*x**5 - 12*x**4 + 19 + 37*x**5 - 19 - 4*x**3 + 2*x**5 + 4*x**3.\nAnswer: 23*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-13))\/((-52)\/169).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61.574 - -9.426. Let z = -80.78 + 1.78. Let o = n + z. Which is greater: -0.3 or o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/((-3640)\/(-21)))\/(2\/4).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-234)\/(-57) + (-18)\/171. Solve 5*d - 10 = -5*y, 0 = -y + 2*y - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 21. Let u be p(-9). Does 7 divide 2\/8 + 249\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 - 339. Let a(v) = -40*v + 1. Let l be a(-1). Let x = m + l. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrbhhjblllblrllb. What is prob of sequence hbb?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -114 (b) -0.1 (c) 0.12 (d) 192\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, s: 8, l: 1, v: 2, b: 3}. What is prob of picking 1 s and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9365*j**6 - 9*j**5 - 18*j**3 + 2*j**2 + 2*j + 7344567 wrt j?\nAnswer: -1123800*j**3 - 540*j**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26405325 (base 7) to base 3.\nAnswer: -11120001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.9752 + -58. What is b rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -92.\nAnswer: -5\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.3, -59521?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 53. Let w be 6\/o - (-432)\/42. Solve 4*u - 6 = w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14744648 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 13928*r**2 - 69578*r - 83508 = 0. Calculate r.\nAnswer: -1, 6, 6959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-35) + (-16066)\/(-9695)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/7 and -79\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1292 divide 187121652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.025 < 359682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 - 45*p - 12 + 12 + 45*p.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831569 at most 19326277\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-30)\/(2 - -1). Let q(c) = 0 - 6*c**2 - 3 - 7 + c**3 - 5*c. Let n be q(f). Let j(x) = -x - 3. Calculate j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17408 - 17413. Let o(l) = -6*l**3 - 2*l**2 + 8*l + 8. Let b(j) = -4*j**3 - j**2 + 5*j + 5. Calculate z*o(g) + 8*b(g).\nAnswer: -2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 + 115*w**2 - 73*w + 184. What is v(-39)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/506 and 81\/368?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7365 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3356)\/(-30) - (-2)\/15. Calculate the highest common factor of 182 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-680)*24*-5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + 0.04. Let k = -0.05 - r. What is the second biggest value in k, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**3 + 5125*j**2 - 3456805*j - 3461925 = 0.\nAnswer: -1489, -1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337.6 - 0.642.\nAnswer: -338.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - v + 4. Let d(r) = -4*r**2 + r - 5. Let w(t) = -2*d(t) - 3*z(t). Suppose 10 = -10*b + 5*b. Let u be ((-1)\/(-2))\/(b\/(-8)). Give w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*n + 4*o, -2*o + 15 = 7. Which is the nearest to 0.1? (a) -0.3 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2*-3*3)\/(sqrt(88)\/(sqrt(44)\/sqrt(4)*-5)))**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12635\/228)\/133)\/(2\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 3098773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1478 + 1042 = -87*b - 39*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7533 and 9108234?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:37 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**3 - 6*r**2. Let h be u(5). Suppose -w - 137 = -4*x, 4*w + x = -h + 109. Find the common denominator of 6\/(-9)*w\/(-66) and -22\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2673 - 5351 + 2678 - 4548*r to the form o*r + j and give o.\nAnswer: -4548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by -77548?\nAnswer: -17\/19387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and -29\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:13 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 30. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -422*j - 66*j + 4 + 3. Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 divided by 202?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -12 + 53 + (-78 - -93)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -7*q + 11*q. Suppose t + 2*t - 44 = -v, 5*v - 2*t - q = 0. Suppose b = 16 + v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdrzb. What is prob of sequence zr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkxkxkkxkx. What is prob of sequence kxxx?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k + 13*k - 86 + 27 = 0. What is the smallest value in 2\/7, k, -376\/7?\nAnswer: -376\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252899 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4 - 1 - l**3 - 2*l**2 + l + 5 - 1. Determine x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 34. Which is smaller: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/347033 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2228 - 2156 = 9*b. Solve 2 = -p + z - 0, -2*z + b = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w. Let t be k(-1). Suppose 823*h = 828*h + 3*s - 21, h + 3*s = 9. Sort h, 241, t.\nAnswer: h, t, 241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 3*a**4 - 1 + 13*a**3 + 2*a**2 - 13*a**3 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63037 + 66612 = 13*w. What is the highest common factor of w and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 21*q - 47. Let v be d(-4). Suppose 4*c + 4*m = -44, -4*m + 14 = -v*c - 5. Let w(p) = p**2 + 5*p + 9. What is w(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 49*l**6\/54 - 364*l**5\/45 - 1151*l**4\/36 - 1054*l**3\/27 - 178*l**2\/9 - 40*l\/9 + 358. Suppose w(p) = 0. What is p?\nAnswer: -1, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 times -275?\nAnswer: -68.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 517119787 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (46 - 48)\/((-1)\/2). Put -1, t, -61 in decreasing order.\nAnswer: t, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 122.7 and -6.0340819.\nAnswer: 116.6659181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 7. Suppose l + l - 10 = 0. Let d be w(l). Suppose 10*i**3 - 15*i**d - 1 + 5*i + 2*i - i**3 = 0. What is i?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/33)\/((-27)\/(-297)) + 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0.5 (c) 4 (d) -2\/5 (e) -372\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 3:46 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -67, -198, -455, -880, -1515, -2402, -3583?\n\"Answer: -7*q**3 + 2*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, -93, 3, -6\/11, -1\/6?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 1. Let f(l) = l**3 + 6*l**2 - 20*l - 18. Let i be f(-8). Give b(i).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240 + -168. Let x(z) = 4*z - 20. Let d(l) = -6*l + 29. Let k(g) = 5*d(g) + 7*x(g). Let q be k(-2). Calculate the greatest common factor of q and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -835 + 835.6. What is the fourth biggest value in -1\/4, a, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g. Solve g*d - 3 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3766 + 2413. Let a = -2617 - p. Calculate the remainder when (-12)\/(-9) + a\/(-24) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 1, -3\/2, 2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4848.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 = 4*h, -4*h + 1 = -0*h + 5*a. Solve 0*c - 20 = -3*o + h*c, 2*c = o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 626401?\nAnswer: 626401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8971 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 8. Let p be i(-2). Calculate the remainder when 2\/6 + (-254)\/(-3) is divided by -12*(-2)\/p - -18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49978.47003 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Let z = -5 - -2. Which is the closest to 3? (a) z (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 875 = -16*f + 1150 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + -5 - (-5 - 2)) + 64\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 79292\/571 and 140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*d + 134*d = 67*d + 6183 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s. Let m(i) = 12*i. Let j(k) = -6*m(k) - 20*o(k). Let w(y) = -2*y. Calculate j(w(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334326 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -19374793 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 3, e: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6557*k + 6745*k - 2256 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.237164 kilometers?\nAnswer: 1237164000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16278 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 95*r - 96*r = 18, -r - 63 = 4*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) 30 (b) -5 (c) 3 (d) 2\/109 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52890, -52889, -52888?\n\"Answer: l - 52891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26382851550 plus -20458?\nAnswer: -26382872008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r**2 - 2*r**2 - 2*r**2)*(30*r + 64*r + 19*r) to s*r**3 + o + n*r**2 + l*r and give s.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 663 - 232. Does 32 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 1 + 2 + sqrt(13) - 2*(sqrt(13) + 3)**2.\nAnswer: -41 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5\/8 + k**4\/4 - 23*k**3\/8 - 7*k**2\/2 + 14*k - 8 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.07 - 13. Let f = -0.17 + g. Which is smaller: f or -0.01?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(325).\nAnswer: -10*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1079249757 rounded to three decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 4*d**2 - d + 4. What is the least common multiple of t(-2) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 86 = 124. Suppose 5*o - 2*o - 66 = 0. What is the remainder when q is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - d - 1. Let j be n(-1). Suppose j*g - 45 = 7*g. Let w = 80 + g. What is the remainder when w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4902 and 903?\nAnswer: 34314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1477*w - 2974*w + 1495*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202652845 + 202668222.90015. Let o = -15365.9 + m. Let k = o - 12. Round k to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t + 11 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*o - 15 = 48*o. Solve 1 - 4 = o*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Suppose 1 = 3*z + 10. Give u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - f**2 - 2*f - 2. Let p(j) = j**3 - j**2 - j. Let u(n) = n**3 + 5*n**2 + n + 4. Let r be u(-5). Let q(l) = r*i(l) + 2*p(l). Give q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -69, -201, -459, -885?\n\"Answer: -7*t**3 + t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*m - 2*v + v, 5*v - 16 = -2*m. Suppose 5*c - m - 7 = 0. Find the second derivative of 3 - 2*l + l**c - 3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15237 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 3. Let p be h(2). Let b = 33 - p. Suppose -2*a + 6 = -22. Calculate the least common multiple of b and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.200141 - -10.2. What is c rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837 = 4*g + 3*f + 195, 4*f = -2*g + 326. Suppose 2*l - 318 = -2*y, -y + 5*l = -2*y + g. List the prime factors of y.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - w - 35 = -h, -4*w = 20. Let g = h + 11. Suppose -l = -o - g, 3*o + 13 = 5*l - 0. Which is bigger: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*n + 1. Suppose 4*p + 24 = 2*a, -n*p = -2*a + 14 + 15. Solve a*s + 28 = 4*q + q, -4 = -3*s - 4*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from abtkgrabbkaa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 43. Let q(j) be the third derivative of -1\/12*j**4 + 0*j + 1\/60*j**6 - 1\/3*j**y + 0 + 1\/30*j**5 - 3*j**2. Find g such that q(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22632992 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 67*o**2 - 442*o + 20. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 50151315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6258 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97254.6422 rounded to the nearest one thousand?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*s - 149*s - 555. Let w be 0\/((3\/(-3))\/(-1)). Solve 3*y = -w*y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13311947 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147128 is divided by 1980?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from agagaaaaggag.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 36 (b) -4 (c) 3 (d) 664\/45 (e) -0.3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16305716 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 3*i - 3. Let p be o(2). Let z be 0\/((-2 - -3)*p). What is the units digit of (2 - z)*-2*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 29*r + 34. Let k be w(21). Let g = -177 + k. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - (4860\/(-14))\/3. Let t be (d\/6 + 12\/18)\/2. Solve -3*h = 2*h - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, -603, -1 in decreasing order.\nAnswer: 20, 0, -1, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -92, -88, -82, -74?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 7*j - 12*j + 21, 0 = -3*d - 2*j - 21. Sort 0, 3, d, -2.\nAnswer: d, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5530)\/(-112) + (-6)\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -16 - (4 + (-4 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - (-657)\/216) + 7. Let k(s) be the third derivative of 0 + 0*s + 0*s**3 - 7*s**2 + w*s**4. Let n(u) = u**2. Calculate k(n(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**2*i**5 + 1505*d**2*i**2 + d**2 + 36*i**5 wrt i?\nAnswer: -420*d**2*i**2 + 2160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7727 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/6)\/(6\/(-27)). Let h be 6\/r - (-18)\/14. Calculate the common denominator of 20\/7 + -1 + h and -11\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1345284 by -16.\nAnswer: -336321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 1, o: 3, p: 1, c: 3, g: 5}. What is prob of picking 2 o and 1 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let k(g) = g**3 - 3*g**2 + 2*g - 4. Let f be k(3). Suppose f*n = 5 + 1. Which is the second smallest value? (a) n (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. What is the lowest common multiple of (-2 - 0 - w)\/(-2) and -2 + (-36)\/((-3)\/1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5 + 12468*i**4 + 375462*i**3 + 2369008*i**2 - 7615488*i - 9621504 = 0?\nAnswer: -16, -1, 3, 6264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214908167 is divided by 287695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5443 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -63)\/6 - (3280\/128 - 13)\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 59 - (72 + 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24d - -4?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*3\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245\/3*h**2 - 80*h - 5\/3*h**3 + 0.\nAnswer: -5*h*(h + 1)*(h + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c - 2 = -32*c. Let o be ((-1)\/c)\/(4*(-1)\/(-40)). Solve -5*n + 2*n = -2*w - 21, o*w = -5*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and -95583?\nAnswer: -6021729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*f + 78*f + 72*f as i + s*f and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 t when three letters picked without replacement from gfgtgogigogtoeggtooi?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -143913 (base 11) to base 9\nAnswer: -372218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 239842 = -a - 0*a, 0 = -5*o - 4*a + 299819. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q + 1. Let o(j) = j - 3*j**2 - 10*j - 2 - 2*j**2. Let g(t) = 2*k(t) + o(t). Find the second derivative of g(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-27)*(-13)\/(2184\/(-108)). Which is the second biggest value? (a) 0.1 (b) -1.9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from zqqqzqqqqj?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 + 79 + 222 = 93*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36\/510*(50\/180)\/((-28)\/(-24))\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/100 + 13*n**4\/20 - 97*n**3\/30 - 123*n**2\/2 + 1896*n. Factor k(u).\nAnswer: (u - 5)*(u + 3)*(u + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 21 - (8 + -17 + 4 - 38).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from {p: 5, y: 8, e: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33265181.\nAnswer: 19, 179, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*9\/((-3672)\/(-16))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3) + 2 + -40. Let f = 76 - 89. Let t = f - m. Calculate the remainder when 101 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 22*a - 25*a - 85, 0 = 4*r + 2*a + 66. Let p(s) = 8*s + 105. Determine p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14899*f**2*k - 2810207*f**2 - 15*f*k**2 wrt k.\nAnswer: 14899*f**2 - 30*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2. Let i(t) = 792*t + 13. Let m(h) = -394*h - 7. Let r(v) = 4*i(v) + 7*m(v). What is o(r(g))?\nAnswer: -504300*g**2 - 7380*g - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365508 or -4020580\/11?\nAnswer: -365508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*w**2 - 28*w**2 - 2*w**3 - w**3 to p + a*w**3 + n*w + z*w**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 455552 + -1?\nAnswer: 455551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199712.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 44. Suppose -22*p + 18*p = h. Let f = -37 - -186\/5. Which is the nearest to f? (a) -0.4 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 548*w - 71712. Determine c(-216).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6381419 is divided by 81813.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 461 = -143 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/342 and -61\/570?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*s + 22, 2*m - s + 0 - 22 = 0. Let x be m\/3 - 10\/15. Solve -4*p - j + x + 1 = 0, -j - 3 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 14. Let n(p) = -3*p + p + 6 + y*p. Is n(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4 - 7\/(-4). Find v such that 0 + l*v**4 + 1\/2*v**2 + 0*v + 3\/4*v**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1987 <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 13*w + 0*w = 88. Which is greater: 137\/34 or w?\nAnswer: 137\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let z(r) = -6*r. Calculate 44*x(f) - 6*z(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/104 + 6\/78 + 94680\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - -7) + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1110900 or -1110911?\nAnswer: -1110900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123 or -68?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101295.\nAnswer: 3, 5, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-5 + (sqrt(2) - sqrt(18))))**2 + 0.\nAnswer: 30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -8. Let j = -0.05 + 0.1. Let s = 0.05 + j. Which is the third smallest value? (a) t (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -32. Solve l - f*l = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 152148*x**2\/5 + 304293*x\/5 + 152146\/5.\nAnswer: (x + 1)**2*(x + 152146)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3 + 116\/(-84). Let u = 1\/3 - z. Let i be 6\/(-36)*(-4)\/3. Sort 3\/8, u, i in ascending order.\nAnswer: u, i, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**8\/210 + g**6\/40 + 7*g**3\/3 + 16. Let d(a) be the third derivative of y(a). What is the third derivative of d(z) wrt z?\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -489, -483, -489, -513, -561, -639, -753, -909?\n\"Answer: -d**3 + 13*d - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-81)\/9 - -3) + 11. Suppose -r*w = -27*w + 6468. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033 is divided by 489.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506 is divided by 154.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 149 + 0*h**2 - 132*h + 0*h**4 + 0*h**3 + 88\/5*h**5. Differentiate r(y) with respect to y.\nAnswer: 352*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f - 4*j + 27 = 0, 5*j = 4*f - 66. Suppose -h + 2*h - 4*i = -f, 3*i - 129 = 5*h. Let m be (-4)\/(-5)*h\/216. Is m at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, i: 2, o: 8}. Give prob of sequence ioss.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 63 = -4*i + i - 5*s, -4*s - 6 = -6*s for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 6:58 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:13 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 53680*u - 53684*u. Let x = 1105 + -689. What is the greatest common divisor of u and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**6\/60 - s**3 + 1. Let g(k) be the third derivative of w(k). Let c(a) = -2*a. Calculate c(g(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j. Let b = 3 + j. Suppose b*h + 5 = -2*h. Let p(i) = -i. Let q(k) = -k**2 + 1. Determine h*q(u) - p(u).\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let g be (-40)\/(-15)*(-3)\/(-14). Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 61a1 + 1be0?\nAnswer: 7d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 198*r + 200*r = 14, 8*n = 4*r - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5051*y**3 + 11 + 11440*y**3 - 5065*y**3 - 36*y wrt y?\nAnswer: 7944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28030522 and 6968.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 83. Let i(s) = 3*s + 12. Let r be i(6). Let k = g + r. Sort 5, k, -2 in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.79465us in seconds?\nAnswer: 0.00000979465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -37, -2, -68, -1 in descending order.\nAnswer: 0, -1, -2, -37, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15361 is divided by 1288.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13615175*j**5 - 9838243*j.\nAnswer: -272303500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 105*k + 644. Give c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4*16\/(-176))*(-12)\/(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24432247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 200. Give j(-8).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -7*i**5\/4 + 734*i**4 - 4656*i**3 + 8023*i**2\/2 + 25223*i\/4 - 6195\/2 = 0.\nAnswer: -1, 3\/7, 2, 5, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 13 + 9 - 32 - 17 - 6*y in the form m + c*y and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6137)\/476 + 13)\/(1\/(-972)). Let t be (13\/(-2))\/((-2)\/(-32)). Let j = a - t. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100006899 and 1767?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/(16\/(-2) - (-143975)\/18000). Calculate the highest common factor of m and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10368 and 122472?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 284a (base 13) to base 4\nAnswer: 1122300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m**2 - 4*m + 9. Let t(c) = 2*c**2 - c + 2. Let s(n) = -n. Let b be s(-9). What is b*t(z) - 2*v(z)?\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 53. Let k be z\/27*(-15)\/8*-4. Solve -2*b = 2*y + 10, -5*y - k*b + 5 = -10*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.3 (b) 1\/24 (c) 520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/24 + 5*t**4\/24 + 13*t**3\/6 + 3*t**2 + 232*t. Let f(s) be the second derivative of d(s). What is f(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + (sqrt(891) - (sqrt(891) + 2*sqrt(891)) - sqrt(891))) - (3 + ((sqrt(396) - (sqrt(396) + -1 + sqrt(396))) + sqrt(396))*6))**2.\nAnswer: -12636*sqrt(11) + 290205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22161763 to the power of 1\/2, to the nearest integer?\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 88. Let i(m) = 61*m. Give i(p(a)).\nAnswer: -122*a - 5368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 + 10*l + 8. Let a(w) = -w - 5. Let q be a(5). Let s be c(q). Suppose d = -3*d + s. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 3*n**2 + 3*n + 4. Let p be o(-2). Suppose 0 = -2*u + p, 3*u = 4*v + 279. Let g = v - -146. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 5 (c) 214 (d) -114 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1366994200 to the nearest one million.\nAnswer: 1367000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c**3 + 55*c + 353?\nAnswer: 15*c**2 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k = 40*k + 21. Suppose -5*a + 5 = -0*a. Solve 0 = -t + a - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(39)\/sqrt(3) + -1))**2 + (-4 + (sqrt(13) - (sqrt(13) - (-1 + sqrt(13))))*3)**2.\nAnswer: -74*sqrt(13) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1302889*n - 21 + 8 + 2605776*n + 7 - 1302888*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 10*o**2 - 10*o - 5. Let c be k(-9). Suppose -c*h + 84 = -2*v, -8*h + 3*h = 2*v - 114. What is the greatest common divisor of 88 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1033, 2, -2777, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.8, -2\/5, 4, 0.4, -78, 1\/4 in increasing order.\nAnswer: -78, -4.8, -2\/5, 1\/4, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (1 + -4)) + 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 37 - 12 = 0. Suppose -4*k - 5*a = -223975, -4*k + n*a = k - 280025. What is k rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:37 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from tfiffqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/1031, 0, -2, -5, -2\/1293?\nAnswer: 2\/1031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1668.92 - 1669. Which is the fourth biggest value? (a) -10\/13 (b) -2 (c) k (d) -3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -7, -4, 31 in decreasing order.\nAnswer: 31, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = 22. Let r = -37 + -1. Let a = o - r. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(30\/81)\/(-5). Let l be (4\/6)\/(95\/15). Let m = -0.03 + 4.03. Put l, w, m in increasing order.\nAnswer: l, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*u + 393 - 1940 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 26 + 26)*(15 - 83 - 42).\nAnswer: -1100*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v)*(2*v - 2*v - 2*v)*(8 + 0 + 3).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 48. Sort -5, b, 4 in ascending order.\nAnswer: b, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 4*u - 14*u + 0*u + 35*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -5, 42, -3, 7, 6, 2 in descending order.\nAnswer: 42, 7, 6, 2, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from eermermreeret?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4373 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524169?\nAnswer: 3, 139, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 4*j**2 + 2*j - 3. Suppose 0 = -o - 4*l + 2 - 0, 2*l = 2*o - 4. Give i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89131.6818 nanoseconds to weeks.\nAnswer: 0.0000000001473738125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*d - 3*g - g, 10 = 5*g. Let j be 33*(1 - 0) - -2. Let p = d + j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*k + 5*k + 9, -k = 5*t + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (79\/(33575\/102))\/((-36)\/(-6300))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58092*k = -58078*k + 364 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*x - 22 + 9, -x = 5*g + 2. Let q be ((-25)\/(-6) + -4)*-2*1. Let m be (10\/8)\/(3\/(-4)). Which is the nearest to 1? (a) m (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 13, 29, 51, 79, 113?\n\"Answer: 3*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987543783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42a2 (base 14) to base 16\nAnswer: -2cf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/360 - v**5\/20 + 7*v**4\/24 + 2*v**3\/3 - 3*v. Let x(j) be the second derivative of r(j). Give x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 1\/18*m**4 + 1\/18*m**3 + 1\/126*m**7 - 9*m - 1\/90*m**6 - 1\/30*m**5 + 0 - 1\/6*m**2. Determine o so that t(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9024*k = 9023*k - 3, c + 0*k + 3*k - 17 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10000011011010010?\nAnswer: 10000011011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (0 - -377)\/(33\/27 - (-12)\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(67*n + 681 - 681) + 4 - 3*n - 4 as t + l*n and give l.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71499648 by -6.\nAnswer: 11916608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-814)\/(-30) + (32\/(-240))\/(-3 - -4). Solve -5*r - p = -8*r + 3*i, 5*r - 33 = i for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 121, 0.4, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -19*d**3 + 67*d**2 + 23*d - 147. Give x(4).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0 - 319\/6*d**3 + 10*d + 0*d**2. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*j - 696, 4*m - 249 = 3*j + 305. Suppose -6*b + b = -m. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:39 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 16) in base 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1640920, 3281852, 4922772, 6563674, 8204552, 9845400, 11486212?\nAnswer: 13126982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-992)\/(-56) - (-4)\/14. Suppose 2*f + t = -2*m + 4, -2*f + 4*m + 16 = 0. Let b(u) = u**2 - 6*u - 3. Let y be b(6). Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151695?\nAnswer: 3, 5, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33222 and 2138073.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/252 - 10\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let z(a) = 226*a - 11. Let f be z(3). Let p(l) = -20*l**2 - 667*l + f*l. Give v(p(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 402112 - -12044?\nAnswer: 414156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3*j - 3496*f**3 - 520*j wrt j?\nAnswer: 2*f**3 - 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30976 - -30979.0139. Let a = -0.0139 + h. What is the smallest value in a, 3\/2, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l)**9\/(l*l\/l**3*l*l**(4\/5)) assuming l is positive.\nAnswer: l**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47049 rounded to two decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5, 174 = -t + 7*h - 3*h. Let j = t + 368. Let o = j - -703. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/30 + (-4)\/(-10). Suppose 0 = -4*f - h*f + 28. Calculate the lowest common multiple of 10 - 0\/(1 - -2) and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.6 - 12. Let y = 147.8 + -146. Let v = f + y. What is the nearest to 1\/3 in v, 0, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -191, -217, -261, -323, -403, -501?\n\"Answer: -9*d**2 + d - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150753560?\nAnswer: 2, 5, 3768839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 3 + 2 - 11*v + 9*v - v. Let y be u(0). Solve -y*p - 12 = 4*i, 4*i - 4 = 4*p + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 98 + 108 - 3*x**2 + x**2.\nAnswer: -2*x**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 - -0.14. Let x = -0.08 + i. Let u = 0.515 - 1.015. Sort u, -0.1, x in decreasing order.\nAnswer: -0.1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -32, 0.05, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3495 by 1165.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 9*w + 60 = 0. Suppose 0 = -31*h + 36*h - w. Suppose 2*f - 32 = -i, f = -2*i + h*f + 109. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/2)*m)**4\/(((m*m*m**(-1\/4))\/m)\/(m**11*m)) assuming m is positive.\nAnswer: m**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 2, h: 3, m: 1, o: 1, r: 4}. Give prob of picking 1 o, 1 h, and 2 z.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26*j - 19 = 21*j, -23 = -4*g + 5*j. Let w = 1 + 6. Suppose n = -n + 4. Solve -n*u + u - w = -2*s, 0 = 3*u + s - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1187 + -1186.58. Is w less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/7 - 1374\/(-21). Let o = 88 - f. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x\/x**0)*x**(4\/9)*x*x**(-6)*x)**(-18) assuming x is positive.\nAnswer: x**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**4 + 37373*h**3 + 2*h**2 + 9974*h - 14.\nAnswer: -48*h**2 + 224238*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**2. Let x(g) = 12*g. Calculate k(x(n)).\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47487509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 i when three letters picked without replacement from nimippripiih.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645975*s = 645704*s - 14634 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a - -92a2?\nAnswer: 932c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/7))\/w**(1\/2)*(w**(2\/3)*w)**(-6\/19))**34 assuming w is positive.\nAnswer: w**(1819\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2192 = h - 7*z, h - 2*z = 2197. Suppose h - 755 = 6*r. Let k = r - 1411\/6. What is the common denominator of 125\/18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9670510573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312250 less than or equal to 1312248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 35676*u**3 - 35675*u**3 - 1 - 6*u - 3*u**2 as s*u**3 + y*u**2 + n + a*u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 8. Let k(g) = 3*g + 7. Let m(t) = -5*f(t) + 6*k(t). Suppose 2*a + 20*a - 286 = 0. Let l(o) = -29*o + 16*o + a*o + o**2. Give m(l(i)).\nAnswer: 3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1033312 (base 5) to base 4\nAnswer: 10120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*y - 5*w + 9, 0 = -2*w. Let r(c) = -6*c - 9. What is the units digit of r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 9, h: 8, u: 2}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**8\/3360 - f**7\/720 + f**6\/720 + f**4\/2 + 28*f**2. Let x(z) be the second derivative of o(z). Factor x(v).\nAnswer: -v*(v + 2)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 7. Suppose 3*r - 22 = 11. What is the smallest common multiple of n and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -1. Suppose d = 2*t - 2. Solve -5 = t*u - 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/53)\/h**14 assuming h is positive.\nAnswer: h**(-740\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 243305351 (base 6) to base 4\nAnswer: 101231222203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872746 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(-9)\/((-315)\/10)*(-7)\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + 50*i**3 + 0*i**3 + 57*i**3)*(-2*i - 4*i + 4*i) in the form t*i**2 + m*i + n*i**4 + h*i**3 + z and give n.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -754 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 21875975?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - ((-2)\/7 + (-5472)\/56). Let p = 92 - w. Let b(a) = a**2 + 6*a + 4. Let s(z) = 3*z**2 + 17*z + 12. Let q(h) = -11*b(h) + 4*s(h). What is q(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -705 + 6364\/9. Suppose 108 = 3*q - 9. Find the common denominator of q and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 41 - 2*w - 5*w**2 - 89 + 42 + 4*w**2. Determine p(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1893 < -2392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 + 9*j. Let b(f) be the third derivative of f**6\/120 + f**4\/12 - 2*f**2. What is 9*b(n) - 2*k(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6549 - -6698. Calculate the remainder when 454 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = 3*a - 6, 4*q - 11 = a. Let p be q\/(-3)*-21 + -2. What are the prime factors of (-2 + 1)*-6*p + 2?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 18468.455.\nAnswer: 33243.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**4\/2 - i**3 - 3*i**2\/2 - 3*i - 1991. Let d(b) = -b**3 + b**2 + 1. Determine 6*d(a) + 2*j(a).\nAnswer: -2*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8*f**2 - 12*f - 8. Suppose 8*y = 4*y + 20. Suppose 2 = 2*d - 4*h, -y*d + 44 = -5*h + 14. Is c(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124670 - 218840. Round z to the nearest one thousand.\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*s - s - 4, 3*s = k. Let u be (k\/2)\/(6\/52). Let l = u + 19. Round l to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278 + 277.9. Which is the fourth smallest value? (a) -9 (b) k (c) 6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -15\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*d**2*j**2*x**3 + 2*d**2*j*x**2 - 6*d**2*j*x + 12*d*j**2*x**2 + j**2 - 520*j*x**3 wrt j?\nAnswer: -104*d**2*x**3 + 24*d*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 1, e: 1, m: 2, x: 2, k: 1}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 4*s - 6. Let w(a) = 2*a**2 + 3*a - 5. Let q(m) = -5*w(m) + 4*y(m). Let h(k) = -1 - 3*k + 2*k + 25*k**2 - 26*k**2. Give -5*h(g) - 5*q(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + -4*-1*sqrt(209) + sqrt(209)) - sqrt(209) - sqrt(209))\/(sqrt(99)*2).\nAnswer: -7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 4*i**2 + 5*i**2)*(-5*i + 3*i - 4*i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 2. Let q = o + 59. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 12, -3*b + 3*d = d - 69. Suppose -6803 = -b*o + 10375. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26514 + -26513. Let t be 4\/(-14)*2\/(-50). Is s less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, l: 1}. What is prob of picking 3 s?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3. Suppose -4*j + 9*j - 15 = 0. Let y be 0*2\/(j + -1). Determine m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 2\/37047, 1, -0.2, -2, -1, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/75*3\/(-2)*15\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -33) + 2 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -300675 divided by 75\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23686 divided by -161?\nAnswer: 23686\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m**3 + m**2 - m + 1. Calculate the remainder when 98 is divided by d(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 165244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5\/3, -3, 2\/5, -1\/2, -11\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 9*n - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*a - 270 = -t, 4*a = -2*t + 136. Let r be -1*(-2 - (-1)\/(-1)). Suppose r*c = t - 10. Calculate the remainder when 45 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 270*s**2 + 273*s = 0. Calculate s.\nAnswer: -1, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*f**3*k**2*l + 27*f**3*k*l - f**3 + 5*f**2*k**2*l - 24*f**2*k*l - f*l wrt f.\nAnswer: -564*k**2*l + 162*k*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3269 or 2345?\nAnswer: 3269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:44 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**5 + 3*i**5 - 4*i**5)*(3 + 2 - 2).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*i + 642227 = -z, 5*z = -3*i + 802804. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = 26. Suppose 108 = -548*y + 566*y. What is the highest common divisor of d and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**5 - 4*t**5 + 3*t**5)*(1 + 2 - 1)*(-3 + 1 + 3).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13242 + 2430004?\nAnswer: 2443301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-1424)\/2)\/1. Let i = v - -1494. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45465.3 kilograms to tonnes.\nAnswer: 45.4653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2640 and 5904.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 15. Suppose 2*g - 7*g = 3*o + h, -2*o = -3*g + 16. Suppose -g*p + 1 = -1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6261 + 487 + 2446)*(-3*r - 4 + 4) in the form b + w*r and give w.\nAnswer: 9984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11098121 and -712.\nAnswer: 11097409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 241 = 7*t. Put 3, 5, t in descending order.\nAnswer: t, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*m - 12 = -3*m, 5*m = 2*d - 68. Which is bigger: d or 23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 7*m - 3. Let z be f(-8). Suppose -12*b - 3*v = -11*b - 8, -z*b + 5*v = 0. Solve 0 = o + b*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -2 - 5\/1. Let m be (l\/(-6))\/((-2)\/(-7482)). Suppose m = 5*a - 4*k, a + 2*k - k - 253 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21110122111210122 - 2?\nAnswer: -21110122111210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-258)\/43)\/(3*(-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2320 - -2360. What is the least common multiple of h and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-8)\/(-2380)) - 0. Suppose -3*h - z = -t, 423 + 597 = 5*h - 4*z. What is the hundreds digit of (5\/((-10)\/3))\/((-3)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/28795607 and 11\/927.\nAnswer: 259160463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258123803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/13, 33, 2\/45, 0.1, 0.3, 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187628 = -8006*l - 600*l for l.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 72.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2580373 is divided by 322539.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**4*g)**(2\/49)*g*((g*g**(10\/9)*g)\/g)\/g*g*g*g*(g*g*(((g\/(g*g**(-1\/5))*g)\/g)\/g)\/g)\/g)**(-29))**(-30\/13) assuming g is positive.\nAnswer: g**(577448\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454 divided by 15.\nAnswer: -454\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 33*q. Let d(c) = -c. Let j(g) = 3*d(g) - x(g). Let b(w) = -w. Let s(r) = 30*b(r) + j(r). Let k(n) = -2*n. Calculate s(k(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*a + 2*n - 6, -2*n + 2 = a. Let i be 30\/(-9)*24\/(-10). Sort -5, i, a, -3.\nAnswer: -5, -3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -52135?\nAnswer: 52141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15040867*z**4 - 2426427*z?\nAnswer: -180490404*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -42\/1133 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*q**2 + 3014*h**3 + 1218*h**2*q**4 wrt q.\nAnswer: 2*h**3*q + 4872*h**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - (-2449671883)\/840. Let c = -2916283 + g. Let u = -23\/35 - c. Calculate the common denominator of -19\/5 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3733422, -29867476, -100802762, -238939896, -466679494, -806422172?\n\"Answer: -3733436*c**3 - 2*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 5, f: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 15*v**2 + 6*v - 4. List the prime factors of g(15).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 525245832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24919*g - 6 = -24917*g + 2*f, 0 = -3*g + 10*f + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2368 - 1031. Is o 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 -58*q**3*w**2 + 3*q**3 - 50*q*w**2 + 2*q wrt q?\nAnswer: -348*q*w**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2 + 15*r - 5 - 16*r. Let k be i(-10). Solve 17 = k*j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q**(-13\/4)\/q)\/q)*q*q**(-2\/41)*q**(-2\/85)\/(q*q*q**(25\/4)*q))**37 assuming q is positive.\nAnswer: q**(-396159\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9805\/1014 + -1\/338. Calculate the common denominator of (-16)\/((-1344)\/4130)*4\/(-10) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45309469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035 divided by -5?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/18 - 5\/135*111. Is (8498 - r) + 6 - 7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 + 242 = -2*c. Let h = 50 + -49.5. What is the smallest value in 0.24, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 5\/12*d**4 + 1\/360*d**6 + 0 + 1\/120*d**5 + 0*d**3 - 8*d + 0*d**2. Let v(j) be the third derivative of w(j). Give v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + w - 81 = 0, 4*b + 13 = 5*b - 3*w. What is the smallest common multiple of 2 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2319*y + 3382*y - 42520 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -4.91. Let m = t - -4.925. Round m to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2 + 18 = -3*q, -3*g = q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/8, 1.2, 0.8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928.327 weeks in hours?\nAnswer: 1667958.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -2, 135177?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12067755.84ms to weeks.\nAnswer: 0.0199533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31749?\nAnswer: 3, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11137 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 + 3906*g**2*y**3 - g*y**3 - 2*y**3 + 290*y wrt g.\nAnswer: 24*g**2 + 7812*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 5. Let k(t) = t - 2. Give 4*c(i) + 9*k(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -29*m**2 + 354*m - 63. Let d be l(12). Solve 3*x - 3 = -127*c + 124*c, c - d = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let o(k) = 8*k. Let n(y) = -8*y. Let r(u) = -5*n(u) - 6*o(u). Give f(r(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 565\/(-14238)*24*(-2)\/((-4)\/3)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 30*w**2 - 67*w - 72. Let m be d(-32). Solve 0 = -2*u + 10, i - 2*u - 3*u = -m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.672 and -411377086.\nAnswer: -411377100.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 248267?\nAnswer: 2482670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11063.25ms in hours?\nAnswer: 0.003073125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 117 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/2)\/((-2*3)\/3). Let p = -2 + 3. Put x, 4, p in increasing order.\nAnswer: x, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:05 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (5 + -16 - 6 - -34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130372 - -387250\/3. Which is bigger: -1288 or m?\nAnswer: -1288","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-9)\/15)\/(2\/10). Suppose 8*y = 3*d + 3*y + 7, -a = 3*d - 3*y. Does 6 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 16. Let h be (0 + g)*(14 + 0). What is the tens digit of 864\/h - (-30)\/105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373994650?\nAnswer: 2, 5, 43, 197, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -21 - (70 - 103).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.27380824*3\nAnswer: 3.82142472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - 39\/(-9). Suppose w*h - 4*v = 16, -5*v + 1 = 4*h + 3. Calculate the remainder when 3 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4068*t**3 + 20*t**2 + 107*t**2 - 175*t**2 + 48*t**2.\nAnswer: -4068*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*m - 19, -3*q + m = -8*q + 39. Let i be 11*(-1 + 30\/6). Calculate the highest common factor of q and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18803.4 rounded to the nearest one hundred?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016159 rounded to seven dps?\nAnswer: 0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92520 and 2420683?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10101?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-2)\/10*25\/(-1030)*6). Solve 0 = 5*y + 2*p + r - 83, -5*p = 3*y + 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155210108*k**3 + 81810249*k**2 wrt k?\nAnswer: -931260648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose -2*p + 24 = o, 5*o - 34 = 2*p + 38. Suppose s*g - o = -2*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose -v - o = j*o - 9, 2*v + 3*o = 15. Solve b + b = v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*s - 2*s = -10, -6 = 3*s. Put j, -3, 4, 0 in ascending order.\nAnswer: -3, 0, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23512 + -131?\nAnswer: -23643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.8 - 23.3. Let u = 21 + -59. Let x = u - -38.1. Which is the fourth smallest value? (a) -0.5 (b) x (c) -2\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/27? (a) 2 (b) 33 (c) -3 (d) -0.6 (e) -41 (f) 1\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 0*j**3 - j**3)*(3434*j - 3434*j + 3615*j**2 - 3850*j**2 - 5892*j**2).\nAnswer: 6127*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9568\/(-128))\/(-13))\/((5\/1)\/20).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 318.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 747.37 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.79942 years in millennia?\nAnswer: 0.04779942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3425 * 11.3.\nAnswer: 38702.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6178211 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 11*q**2 - 19*q + 14. Let v be h(7). Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 32*y**2 - y + 32. Let z be k(32). Factor 448*j**2 + 70*j + 5*j**3 + z - 403*j**2 - 2 + 2.\nAnswer: 5*j*(j + 2)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52866 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 2*k - 17. Let h = 866 - 864. Suppose 0 = q + 4*s - 8, q + h*s - 4 = 5*q. Determine g(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 59187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04852 > 0.063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4641 + 22036?\nAnswer: 30010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = -192. Suppose -5*a - 7 = -5*j + 83, 0 = 4*j + 4*a - y. What is the remainder when 28 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*f + f + 28*f**2 - 35*f in the form g*f + v + x*f**2 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.245 + 1.745. Let r(a) = -a**3 + 7*a**2 - 5*a - 3. Let m be r(4). Suppose -5*q + 7*l - 2*l = m, -4*l = 2*q + 4. Put q, o, 15, 2\/7 in descending order.\nAnswer: 15, o, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(91\/(7371\/54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 22)*(93*r**2 - r**2 - 4*r**2).\nAnswer: 2200*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -0.0235?\nAnswer: 3.9765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 19 + 0)*((0 + 2 - 1)*(32*w + 54*w - 10*w) + 2*w - 14*w + 7*w) to the form m + q*w and give q.\nAnswer: 1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 + 89)*17\/(391\/253).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -48.113654 + 0.4\nAnswer: -47.713654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 179\/3270.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 7*b**2 - 11*b + 1. Let p be a(-5). Solve 4*h = h - p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 23005416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3256?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 divided by 26111.\nAnswer: 181\/26111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 37869593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is prob of picking 2 r when two letters picked without replacement from {z: 7, y: 2, r: 4, i: 1, b: 2, m: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 3*t - 1. Let b(h) be the second derivative of h**5\/20 - h**4\/2 + 4*h**3\/3 - 7*h**2\/2 - 6*h. Let r be b(5). Let d = -11 + r. What is y(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*c - 5*c - 140, -c = 5*x + 324. What are the prime factors of (-8639)\/(-11) - x\/(-176)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13376 (base 9) in base 10?\nAnswer: -9060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -2011122103?\nAnswer: 2011122103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45675 and 450?\nAnswer: 91350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 2*n + 1. Let s be 1*2\/4*0. Suppose 3*j + v - 5 = -s*v, -j - v = 1. Calculate k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 + 5*b - 2. Let f be z(-6). Let c be 2\/1*2\/f. Suppose -5 - c = -w. Solve 3*x + 0 = w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let w be b(-2). Suppose 3*d + 4*z = 15, -w*d + 16 = 5*z + 4. Suppose -t + d = -0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 7*k - 3*k + 5, -2*b + 1 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p - 34 = 29*p + 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.5, -0.4, 8789031 in ascending order.\nAnswer: -0.5, -0.4, 0.1, 8789031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u + 12*u**2 - 9 - 14 - u**3 + 6. Let j be p(11). Suppose 0 = d - 3 - 0. Which is the third biggest value? (a) d (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*a + 5*r = 875*a + 7, -4*a - 2*r = 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59440 rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -342678 divided by 123?\nAnswer: -2786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 23*n - 7. Let g be r(-3). Are -76 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 29. Let l(q) = -q + 1. Let v be l(-10). Calculate the greatest common divisor of v and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(sqrt(132)\/sqrt(11)))\/((sqrt(121)*4)\/sqrt(11)) + -4.\nAnswer: -4 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u + 900*u**3 - 71*u.\nAnswer: 900*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1661 and 596752?\nAnswer: 6564272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 1. Let b be z(-1). Suppose -12 = -a + 3*a - 4*m, b*a - 4*m + 16 = 0. Let f = a + 15. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -222*h**2 - 20*h - 24. Give n(-1).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is the nearest to -0.2 in -2, -1\/12, 8, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401 or 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 165 - 15\/4*o**4 + 0*o**2 + 10\/3*o**3 + 0*o - 12*o**5 - 35\/6*o**6. Factor c(a).\nAnswer: -5*a**2*(a + 1)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, k: 8, s: 5}. Give prob of picking 1 s and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1361\/34 (b) 5 (c) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1814311252 + -1814311149.9999661. Let y = v + -102. Round y to six decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -19*p**2 - 370*p + 384. Determine h(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2\/7 (c) -29.3 (d) 0 (e) -4\/7 (f) -2 (g) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*v*v*((v*v*v**25)\/v)\/v)*v\/v**(-11))\/(v**(-4\/3)*(v\/(v\/(v\/(v*v**(-4)))))\/v))**13 assuming v is positive.\nAnswer: v**(-650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/12*(1 + -16). What is the units digit of (14\/t)\/((-3)\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 5. Let s = 12 - h. Let r(k) = 4*k + 10. Let a(t) = -3*t - 7. Let m(i) = 7*a(i) + 5*r(i). Let o(c) = 2*c - 1. What is s*o(v) + 3*m(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22006395426 and -0.064.\nAnswer: -22006395426.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 507389*g - 179518?\nAnswer: 507389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 1597 + 1742 = 0 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 4898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:59 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1 - 1 - 2*o**2 - o**3 - 3*o. Let z be g(-2). Let c = -3 + z. Put 2, -3, c in increasing order.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28172290*b**2*t**6 + 20*b**2*t**2 + 405*t**2 + 101 wrt t.\nAnswer: 3380674800*b**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, t: 9, w: 6}. Give prob of picking 2 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4367eb + -2?\nAnswer: 4367e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 36, 60, 102, 168, 264?\n\"Answer: o**3 + 5*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaff when four letters picked without replacement from {g: 1, z: 1, f: 3, p: 4, a: 5}?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p**3 + 14424*p**2 + 113868*p - 26016.\nAnswer: -3*(p - 542)*(p + 8)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33933499477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172560 = -1922*a - 235*a for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013774 to 4 decimal places.\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*r + 341*r - 12801 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 15*x - 17764 = s, -3*x + 5928 = 3*s. Calculate the greatest common factor of 7614 and x.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932787873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110110002222 - 220?\nAnswer: 110110002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (8 - -32) + -19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2\/(-4) - 91\/70. Let h = -174 + 172. Which is the nearest to 2\/5? (a) h (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, 1, 2, -797.\nAnswer: -797, 1, 2, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 13635402?\nAnswer: 13635403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -5, -0.4 in increasing order.\nAnswer: -92, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 - 3*v**2 - 3*v**2)*(-398*v + 187*v + 149*v + (2 - 2 + 2*v)*(0 + 1 + 3)) in the form c + y*v + i*v**2 + b*v**3 and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7839190 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/9)\/((-876)\/(-11826))*(-2)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqniqqnqqnqiqnqnq. What is prob of picking 2 q?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2633.\nAnswer: -2\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*m - 146, 3*m = -h + 25 + 5. Let i = -10 + -2. Let p = 27 + i. Calculate the remainder when h is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2 (c) 0.5 (d) 4 (e) 593 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 2*h + 2*h + (h**2 - 5*h**2 + 3*h**2)*(2*h - 5*h + 4*h) + (-12*h**3 + 8*h - 8*h)*(-3 + 6 - 4).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = 2*t, 2*u = -u + 12. Suppose 0*p - p + t*k = -28, -2*p = 2*k - 6. What is the greatest common divisor of p and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + 3\/(6\/16) + -1 + 9275 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*k + 6. Suppose -l = k*l. Suppose l*z + 168 = 5*z - n, 3 = -n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + 27 + (-16 - -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 661434.1 centuries?\nAnswer: 793720920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*4*sqrt(1584) + -2 + ((2*sqrt(1331))**2 - sqrt(1331)) + -1 + sqrt(1331).\nAnswer: -192*sqrt(11) + 5323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -36\/5 (c) -2\/15 (d) -0.3 (e) -61 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7846067803\/2228 - 21129379\/6. Let h = 2\/1671 - x. Calculate the common denominator of -11\/9 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7414096 divided by -92.\nAnswer: 80588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (123\/(-963))\/(5\/(-195)). Let y(d) = d**2. Let n be y(0). Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a1b (base 15) in base 5?\nAnswer: -1103101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((34 - 23 - 27)*(-2 + 8 + 0) + 3 + 2 - 3)*(3*i**3 - 4*i + 4*i) + (i**2 - 4 + 4)*(-i - 2 + 2).\nAnswer: -283*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 6*u + 6. Determine o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Suppose -4*a + y = -3*a. Let p(z) = -5*z. Let n be p(1). Sort 4, a, n in increasing order.\nAnswer: n, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 3, k: 1, q: 3, t: 2, m: 8, e: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3736 + 3736 - 7*h**3 + 11*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 5*l + 4. Calculate m(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -b - 15, -20 = 3*b + 3*q + 43. Let j(h) = -40*h + 49. Let d be j(b). Suppose d - 2056 = -11*s. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1765 by 155043.\nAnswer: 1765\/155043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r**(-6)\/r)**(-1\/84) assuming r is positive.\nAnswer: r**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 - g**2 + 4 + 0*g**3 + 6*g. Let l be k(6). Suppose -2*n + 10 = b - 7, -n = l*b + 9. What is the highest common divisor of n and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 104112?\nAnswer: -104063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403 (base 8) to base 14.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(12\/28 + (-100)\/70).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4 (c) -5 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2229266777 - 871\nAnswer: 2229265906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -112513931 != -112513930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158297253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - j**2 + 26 + 0*j + 0*j to the form u*j**2 + z*j + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -179*h + 7. Let d = 33 + -31. Let a be z(d). Let m = 493 + a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/3 - 3\/9. Suppose -5 = -v*s - 15, 2*i + 4*s - 8 = 0. Suppose 3*d - 13 = i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -50, -41?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466\/406 - 36\/1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (-28 + 36 + -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 2502.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmt when three letters picked without replacement from {h: 1, v: 1, m: 1, w: 1, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -20*k**2 - 17 + 17 - 4*k**2. Let y(r) = -4*r**2 + 3*r. Let f(z) = -z**2 + z. Let h(i) = 3*f(i) - y(i). What is a(h(t))?\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 9*x - 35. Solve -2*d + 3 = -x*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*h - 2*h - 6150, -h - 12272 = -4*m. Is m\/9 + ((-50)\/18 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4734010 to the nearest integer?\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 5. Let b be u(0). What is the highest common factor of b and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21104 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2 + 5*((-76)\/10 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + (sqrt(11) - ((sqrt(22) - sqrt(88)) + sqrt(22))\/sqrt(2))) + (sqrt(66)*-1 + sqrt(66))\/sqrt(6)*-1)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17201014.\nAnswer: 2, 151, 56957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-6)\/g))\/g**3)\/(g**0)**12 assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - o + 2031, -3*b + 5*o + 1837 = -194. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31998.01 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/643545 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*l = 174*l + 48. Solve 4*y = x - 9, 4 = -x + 5*y + l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14093*h - 1632*h + 3264*h - 2 - 3677*h to u*h + v and give u.\nAnswer: -16138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 224*j + 11914. Let r be v(-87). Which is the fourth smallest value? (a) r (b) -0.3 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**1\/t*t)*t*t**(-3\/5)*t*((t\/((t*t**(-12))\/t))\/t)\/((t\/(t\/t**(-13)))\/t))**(-5\/7) assuming t is positive.\nAnswer: t**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 74 = -2*g + 64, -4*g + t = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 2:07 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/(((k\/k**(1\/5))\/k)\/k)*(k**(-1))**(1\/26)*(k*k**5*k\/(k\/k**6))**(-5\/7) assuming k is positive.\nAnswer: k**(-2193\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 81.4, -3\/2 in decreasing order.\nAnswer: 81.4, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let g be h(-2). Is 5 a factor of ((-3)\/g)\/((-1)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143379+-0.6\nAnswer: 143378.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:54 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.037 from 4.\nAnswer: 3.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:13 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8928 + -8878. Calculate the greatest common divisor of y and 3110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81465 and 3015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 6. Let o(z) = 79*z + 150. Let q be o(-2). What is i(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 124 - 16 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z**2 + 2*z - 1. Suppose g + g - 2 = 0. Let x be b(g). Let s be 6239996\/x - (-1)\/4. Round s to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4402*h - 1333847. Calculate s(-303).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*h = -990, -1482 = -3*m - 299*h + 304*h. Calculate the highest common factor of m and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -1, 16\/115, -22, 39 in descending order.\nAnswer: 39, 16\/115, 1\/10, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -86488\nAnswer: -8648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-6 - (3 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 11:30 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566 + -601 + (1 - 3) + (1 - -7).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2403 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-17 + 2 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 - l**2 - 2*l - 2. Let q be r(-1). Let b(u) = -u + 10. Let x be b(6). Solve q + 9 = x*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 522 + -512. Suppose m*g + 3*u = 6*g + 14396, -7184 = -2*g - 5*u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -17\/76 (c) -6\/7 (d) -0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 17 = 3*s, -1 = a - 4*s + 20. Is a not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:49 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801198353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 229*s + 10. Let t(u) = u**2 + u - 3. Determine -c(p) - 6*t(p).\nAnswer: -2*p**2 - 235*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2775, 2771, 2767?\n\"Answer: -4*v + 2779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + 107. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + -2 + 5 - (108 + -125)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/5))*f)**39*f**2\/f**(-6\/7)*((f\/((f\/(f**(-1\/2)\/f*f))\/f*f))\/f)**23\/((f*f\/f**(-1))\/f)**(8\/15) assuming f is positive.\nAnswer: f**(-391\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1741645606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 15) in base 14?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*a = 170*a - 19748578. Let n = 42774289 + a. What is n rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -334 - -244. Let p = -15 - c. Calculate the highest common divisor of p and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1505 and 11596455.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 772*k - 484*k + 6912 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n**2 + 9101*n - 27241. Give m(3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7 - 2*x - 6 + 4. Let n be f(-6). Solve -2 = n*b - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1012909911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 533629705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.36 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 + s - 13. Let i(k) be the first derivative of -5*k**3\/3 - k**2\/2 + 7*k + 242. Give 7*i(v) + 4*r(v).\nAnswer: v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:28 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3873, -3881, -3891, -3903, -3917, -3933?\nAnswer: -3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/92 and 80\/39.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -420821, -1.59 in descending order.\nAnswer: -0.1, -1.59, -420821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 6629.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**4\/7 + 24*p**3\/7 - 30*p**2\/7 - 24*p\/7 + 27\/7 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 26*d + 25*d - 12 = 0, -5*d - 50 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.981 - -0.019. Let b = f - 24.6. Sort -5, b, 0 in increasing order.\nAnswer: -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 12*i**2 + 14*i + 8. Let n(u) = u**2 - 8*u - 22. Let v be n(9). Give k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**6\/18 + 51*a**5\/20 + 733*a**4\/36 + 269*a**3\/6 - 75*a**2 + 31*a - 6. Suppose u(x) = 0. What is x?\nAnswer: -25, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*q - 159, 4*q = 3*p + 7*q - 117. Calculate the greatest common divisor of p and 1196.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 51.8. What is m rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002222 (base 3) to base 4\nAnswer: 30221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**3 - 6*r + 6. Let h(q) = 4*q**3 - 5*q + 6. Let b(a) = -6*h(a) + 5*p(a). What is the first derivative of b(y) wrt y?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + 0*d + (0*d + 4*d - 5*d)*(0 + 4 - 3) + 1 - 1 - 2*d + 3*d + 4*d - 12*d + (-1 + 1 + 2*d)*(3 - 3 + 1))*(-2*d**3 + 3*d**3 - 3*d**3)*(-14 - 1 + 7).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 230.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -0.0323 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - k - 10 = 4*k, -3*u - 14 = 5*k. Let f be ((-19)\/9 - -2)*u. Let o be (-38)\/380 + (-9)\/10. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/203 in 3, 982, 1\/4, -3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 0*u - u + (u + 0*u - 3*u)*(0 + 2 - 3) + 3*u + 0*u - 4*u + 0*u + 0*u - 2*u + 26*u - 8*u + 9*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -8.8502 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 107. Solve g = -5*o + o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - y = 82, 0 = 2*h + 2*y + 2*y - 64. Let g be 190\/35 - 2*6\/h. Let x be -2 + 6*g\/15. Solve x = -2*s + 3 + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - d = -2, -7*k - 272*d = -268*d + 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as -1\/284106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4*w + 195*o**2*w**2 - 4*o*w + 6*o + w**2 wrt o?\nAnswer: -12*o**2*w + 390*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let m(f) = -3*f - 31. Let r be m(-10). Let n(j) = 12*j + 2. Let o(u) = -5*u - 2. Let h(k) = -3*n(k) - 5*o(k). Give r*h(q) - 6*b(q).\nAnswer: 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7 = -11. Let l(q) = 2*q**3 - 4*q**2 + q - 3. Calculate the smallest common multiple of 18 and l(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 13*b**2 - 22*b + 22. Is c(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 21*l**2 + 2412*l + 24025. Let q be f(-10). Factor 48\/5*w**3 - 4*w**4 - 44\/5*w**2 + 2\/5*w**q + 14\/5*w + 0.\nAnswer: 2*w*(w - 7)*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673860 (base 11) in base 12?\nAnswer: 439510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1 + 1 + -1. Let n = 66 - 61. Suppose -n = -2*l + l. Solve -p + 17 = -4*b, l*b + z*p = b + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133320120 divided by -980295?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 38. Let v(y) = -5*y - 37. Determine 6*n(w) + 7*v(w).\nAnswer: w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/5 - (0 - 1). Let r be (7 - 7)\/(q + 1). Let z(o) = 3*o**2 + r*o**2 + o**2 - 2*o**2. Let x(v) = 6*v**2. Give z(x(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - 9*k**2 + 63 + 9*k - 14*k + 8*k - 232.\nAnswer: -9*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -58, -0.3, -0.1, -23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2591515 - -1.\nAnswer: 2591516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) + sqrt(756)*1)\/(2*sqrt(243) - sqrt(3)))**2.\nAnswer: 1008\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1642 by -821.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 73*q**3 + 305*q**2 + 3*q - 5. What are the prime factors of n(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*a**4 + 460 - 925 - 40*a**4 + 534)*(a + a + 0*a).\nAnswer: -148*a**5 + 138*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(0 - h + 0) + (0*h - 4*h - 7*h)*(-2 - 1 + 2) - 2 + h + 2.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + 4 - (37 + (-114 - 12)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0\/(-2) + 0). Let u(d) = -3*d + 10. Let b be u(-8). Suppose -a - c*a = -r + b, 0 = -2*r + 2*a + 52. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7.2 (b) 5 (c) -9 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.31, -1, 8?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -96. Let p = -42 + c. Suppose -2*q - b = -p, b - 32 = -5*q + 2*q. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/8367, -0.076, 1\/2, 4, 1\/6 in ascending order.\nAnswer: -0.076, 2\/8367, 1\/6, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.7 - 31. Let x = a + 3.300038. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 633*v - 89758. Calculate z(142).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5941496.\nAnswer: 2, 11, 107, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 4*t - 36 = 5*o, -3*o + 2*t + 36 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 49568828*p - 614267177323396.\nAnswer: -(p - 24784414)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -112\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9484 divided by 6\nAnswer: 4742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27959022 divided by 1331382.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjv. What is prob of picking 2 y and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*u + 45 - 17, 3*o = -3*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 3, 3\/203, -3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -344*x**2 - 14*x + 2. Let f(z) = 342*z**2 + 19*z - 2. Determine 3*f(j) + 4*k(j).\nAnswer: -350*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(72))\/sqrt(4))\/(sqrt(36)\/(sqrt(6) + sqrt(6) + sqrt(294))).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8685396583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 4*f + 26*f**2 + f + 116*f**2 - 3*f.\nAnswer: 142*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 1, -22\/3, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -19527440\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2465.3801 to the nearest ten.\nAnswer: -2470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 33748.175 to the nearest one hundred.\nAnswer: 33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.5 (c) 0.2 (d) -211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1921*n. Let j(r) = 148*r. Give j(b(k)).\nAnswer: -284308*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486324798?\nAnswer: 2, 3, 19, 173, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 times 0.05\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -110?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166685, -166667, -166637, -166589, -166517, -166415?\nAnswer: -166277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**7\/210 - 73*p**6\/60 + 227*p**5\/30 - 2*p**2 + 48. What is the third derivative of v(t) wrt t?\nAnswer: -24*t - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50727436 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: -250661 (base 8) to base 15\nAnswer: -1a934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 15*b - 52. What is s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57182.9 days to seconds.\nAnswer: 4940602560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 13*a**2 - 50*a + 92. Let v(b) = 3*b**2 - 13*b + 23. Let k(m) = -9*v(m) + 2*z(m). What is k(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 1. Let x be i(1). What is the second derivative of -3*p**2 - 3*p - p**x + 7*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 3, q: 2, i: 3, w: 1, v: 3}. What is prob of sequence uuqv?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1. Let c(r) = 3*r. Let d = 3959 - 3961. Determine d*w(f) + 2*c(f).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00463403174 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*v - 53*v = -84*v + 2530 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42168, -84338, -126508?\nAnswer: -168678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, -1\/4, 2, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/4 (b) -1\/2 (c) 0.1 (d) -2\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3387776 + 8012224 = 0. What is c rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111370 (base 8) in base 5?\nAnswer: 2200444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (880\/1008 - 1)\/(54\/(-63))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 114728294882\nAnswer: 114728294881.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111001 (base 2) in base 6?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -230. Sort -3, 2, x.\nAnswer: x, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -2.43?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-61)\/2379)\/(44\/30). Are -1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4519163?\nAnswer: 11, 410833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944350 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17105789 or 85528948\/5?\nAnswer: 85528948\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 + 65124*n + 6252416\/3.\nAnswer: -(n - 390776)*(n + 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 90, 139, 204, 285, 382, 495?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2536 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -20 + 0*h**2 + h**2 + h**2 - 56*h + 71. Is k(30) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/795 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 0) + -1)\/(2313\/(-1028))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in -2, 1\/2, -0.05, -1, 1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/6)\/((-2)\/4). Suppose 2*f - 59 = 5*c, -3*f - 39 = h*c + 9. Is c <= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -49. Suppose 0 = 5*g + 3*i + 6, -5*i = -4*g - f. Let w = 5 + g. Sort -0.2, w, -1\/4 in ascending order.\nAnswer: -1\/4, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/5)*m)\/m)\/m)**(-11)\/(m**(-2\/7))**(14\/3) assuming m is positive.\nAnswer: m**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 7*g + 2604 = -33*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - t + 0*t - 53 + 356 in the form o + x*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.13 (b) -37.6 (c) 6 (d) 8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (3 + -3) - -3046. Suppose 3*k - 5*k = -c. Is ((-3)\/(-2))\/(18\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 7*m + 7. Let u(d) = -d**2 - 3*d - 4. Calculate -4*j(s) - 7*u(s).\nAnswer: -s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 258. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33851039.\nAnswer: 31, 331, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from {a: 3, h: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -73.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 19088470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/6 + 1918*b**2\/3 + 348191*b\/6 + 172178\/3.\nAnswer: (b + 1)*(b + 92)*(b + 3743)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 3*f, 2*n = -5*f - 8 + 28. Put 5, f, -7 in ascending order.\nAnswer: -7, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.2 + -40.5. Let l(k) = -k**2 - 5*k + 8. Let j be 2*4\/(-1) + 2. Let d be l(j). Which is the second smallest value? (a) 0 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 964, 1936, 2918, 3910, 4912?\n\"Answer: 5*s**2 + 957*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 2*b**5 + 2*b + 4*b**5 - b**5 + b**5 + (b - 1 + 1)*(-3*b**4 - 4*b**4 - 4*b**4) - 3*b**2 + 0*b**2 + 2*b**5 + 4*b**2 + 3*b**5 - 2*b**5 - 3*b**5.\nAnswer: -9*b**5 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 15. Let g(c) = 20 - 15 - 21 - w*c. Let l be g(-17). What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + 8 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 + 2*b - 5.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000439541 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03206139 take away 116.4?\nAnswer: -116.43206139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.6 in -2\/9, 279, -321?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26400 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(2 - 2 + 3*l)*(-l**3 + 2 - 151*l + 1477*l + 354*l).\nAnswer: 6*l**4 - 10080*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, c: 12}. What is prob of picking 2 c and 2 h?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -57. Calculate the remainder when g is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -28*h + 36 + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 134545?\nAnswer: 134550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, l: 3, n: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:40 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016240, -1016239, -1016238, -1016237, -1016236, -1016235?\nAnswer: -1016234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -466*b - 129. Let h be r(1). Which is greater: -594 or h?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b**1*b)\/b*b)\/b))**(-3\/32)\/(b**(-8)\/(b\/(b**10*b))) assuming b is positive.\nAnswer: b**(-61\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9560*m**5 + 44*m**4 + 3*m**3 - 103704*m**2 - 5.\nAnswer: 573600*m**2 + 1056*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-460)\/8)\/((-4)\/8). Suppose -3*v - 3*o + 3 = -0, 0 = 2*v + 3*o + 3. Suppose y = v*y - h. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955.788 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16408 (base 16) to base 7.\nAnswer: 526504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (28 + -4 + -11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose -3*u = 15*u - 54. Suppose -3*y + 2 = 4*o, -u*o - 2*o = 3*y - 1. Solve -21 = y*c + c + 3*i, m*c + i + 15 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odli when four letters picked without replacement from {l: 1, o: 5, i: 1, h: 7, d: 5}?\nAnswer: 25\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -13873715?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 27 - 270. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 7. Let q = -108 - -90. Let x = q - -20. Suppose f = -2*l + 4, 0 = 2*f + x*l + 3*l - 6. What is s(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 8. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 17*l**3\/3 + l**2\/2 + l - 11. Let t be i(-1). Suppose -194 - 741 = -5*a. Calculate the greatest common factor of t and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9952577 to two decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21202 (base 3) to base 6.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -453\/5 + 3\/5*a + 453\/5*a**2 - 3\/5*a**3.\nAnswer: -3*(a - 151)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.53 + 22.6. Let w = -1.0700489 + d. Round w to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21473*n + 64454*n - 21467*n - 21525*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 798 = g, -5298 = -5*g + 3*r - 1420. Suppose 3*d + 5*v - g = 82, 3*d = 5*v + 880. Calculate the greatest common factor of 116 and d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwmq when four letters picked without replacement from mqnwmmwqnmqmnqm.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127540953?\nAnswer: 3, 17, 113, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 27 = 3*l - 4*b, l + b = 3. Let u be 13\/l - (-3)\/(-90)*5. Sort u, 3, 5, 1 in increasing order.\nAnswer: 1, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 11, u: 1}. What is prob of picking 1 u, 1 k, and 2 i?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -21*z + 23*z. What is the remainder when z is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/((-1)\/12). Let h be 40\/3*(-9)\/6. Let r be h\/3*x\/6. Calculate the greatest common divisor of r and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.039?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/((y*y*y**0\/y)\/y*y))\/(y\/(y*y**1\/y))**(1\/4) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1649327, -3298685, -4948065, -6597467, -8246891, -9896337?\n\"Answer: -11*p**2 - 1649325*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-9))\/(184\/(-552))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -319 (b) 320 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. Suppose 3*o - 16 = i. Solve -2*a + 2*r - o*r + 16 = 0, 0 = 5*a + 5*r - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**2 - 3*f + 74. Let s(a) = 5*a + 7. Let c(b) = 4*b + 5. Let k(i) = 4*c(i) - 3*s(i). What is -3*k(d) + x(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 + -0.3. Let d = -0.072 + 0.552. Let q = u + d. Is -1\/4 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2. Let z(x) be the first derivative of -47*x**4\/4 - 2*x - 7050. Give 2*h(b) + z(b).\nAnswer: -45*b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 647*j**3*t**3 - 407552*j**3*w - 2*j**2*t**3 + 2*j*t**3*w - 414*t**2 wrt w?\nAnswer: -407552*j**3 + 2*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + (-8)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -733\/70 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:41 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.8. Let t = -7\/2 + 3. Let y = -49 + 44. Which is the closest to 2? (a) t (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42504 and 5502.\nAnswer: 5568024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/(w**19\/w))))\/w**(-4\/9)*(w**(3\/7))**(2\/9) assuming w is positive.\nAnswer: w**(-974\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151973, -5, -1, 5, 17 in descending order.\nAnswer: 151973, 17, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391270164 to the nearest integer?\nAnswer: 19781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140*k**2 + 1560*k - 1560*k)*(-4*k**3 - 2*k**3 + 5*k**3).\nAnswer: 140*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/20 and 57\/661640?\nAnswer: 661640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from wwwiwiwkiiwiw?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 12 - 35 + 10 - 65*a to j*a + b and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16358*0.01\nAnswer: 163.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -218, -428, -616, -770, -878, -928?\n\"Answer: 2*z**3 - z**2 - 221*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/6 + 2*r. Let q be t(-1). Let z be (q - -149)\/((-1)\/240). Round z to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + w**2 + (-4*w + 2*w + 3*w)*(58906 - 58906 - 392*w)*(1 + 3 - 2) as u + q*w + g*w**2 and give g.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5052307 is divided by 561344?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*f + 24. Suppose 7 = -i - 1. Let g = i - f. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147156682 - j**2 + 147156682.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*w + 1403167, -2*x - 620220 - 502350 = -4*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2123283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 652329 or 652330?\nAnswer: 652329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/9, 0.2 in decreasing order.\nAnswer: 2\/9, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4\/6 - 4*w**3\/9 - 7*w**2\/3 - 8*w\/3 - 74. Solve b(p) = 0 for p.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 13. Let v = l + 12. Calculate the greatest common divisor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/2 - -7. Let s = 0.21 + -0.197. Let k = s + -5.013. What is the nearest to a in k, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 19 - 7. Suppose -77 = -n*o + 3*i, 3*o - i = 2*i + 60. Calculate the highest common factor of 136 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*m = -3622 + 22798 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 1 + 0 + 8*l**2 + 2. What are the prime factors of s(-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 - 6*d - 5. Let p be h(7). Suppose 0 = -2*b - p, 5*b = 2*f - 4 - 1. Suppose 5*c - 32 - 133 = f. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + -1166)\/74 + -1 + 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117731636 - -11?\nAnswer: -117731625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67\/2 + -205\/6. Which is the nearest to 11\/2? (a) -5 (b) -0.03 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*(y**(-2\/3)*y)\/y*y))\/y*y)**3*y**(6\/7)*y\/(y*y\/(y\/y**(4\/5))))\/((y\/(y\/(y**(-1\/3)\/y)))**(-1\/8))**13 assuming y is positive.\nAnswer: y**(-653\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let b(q) = -q**3 + 8*q**2 - 5*q - 9. Let d be b(7). Sort -5, d, j in descending order.\nAnswer: d, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-525)\/(-10))\/(-7))\/((-335)\/402)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1707 = 1549. List the prime factors of m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -212, -125, 34, 277, 616?\n\"Answer: 2*v**3 + 24*v**2 + v - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225.4 + 204. Let r = -18.4 - k. Which is the closest to 2\/5? (a) r (b) 2\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l**2 + l + 23. What is the remainder when n(0) is divided by (4\/(-10))\/((-1)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - -11 - (-10)\/(-4). Sort 0.3, p, 4, -4.\nAnswer: -4, 0.3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-12 - (1 - 16)) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 1 - 4, 4*j - 24 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 749 - 744. Calculate the smallest common multiple of 227 and x.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49344880*z + 49344880*z - 499*z**3.\nAnswer: -499*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1504*o**2 - 4368*o**2 + 1421*o**2 + 1446*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -g - 17 + 4, 3*m - 14 = 5*g. Let u(p) = -m + p + 0*p - 2*p. Is 6 a factor of u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 78 (b) -0.11 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1480)\/(-518))\/((1782\/63)\/9)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054056032.\nAnswer: 2, 17, 1937603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 249*i**4\/4 + 194*i**2 + 535*i. What is the first derivative of l(k) wrt k?\nAnswer: 1494*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 3}. Give prob of sequence fff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 114*q. Let g(v) = -294*v**2 + v + 685. What is g(j(d))?\nAnswer: -3820824*d**2 + 114*d + 685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -62. Solve 3*p = -u*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (7 + -3 + 4) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 168060*h - 168064.\nAnswer: 4*(h - 42016)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 4:55 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*(-20 - 39\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428160 and 203520?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115961422439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -14, 0.06, -5, 2\/121?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1723, 1694, 1653, 1606, 1559?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5238002*c**3 - 44*c**2 + c - 5000 wrt c.\nAnswer: 31428012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - 1308\/(-28). Suppose -t = -d - 2*q - q, -5*d + 167 = -2*q. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.139 - 0.239. Let w = 0.05 + 0.25. Let y = 1 + -4. What is the nearest to g in 4\/5, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -11, -5547, 0.3, 0, 10, -1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, -1, 1 in decreasing order.\nAnswer: 1, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 + -0.08. Let k be (-5)\/(-1) - (-19 + 21). Let o be -5 + k - ((-20)\/(-8) + -2). What is the second biggest value in 5, o, x, -0.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -2 - ((101 - 12) + 23).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -4. Let p(d) = 3*d**2 + d + 8. Let t be p(-5). Let g = t - a. What is the greatest common factor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 686 and 72067142?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/97, 2, 1?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.1 - 10. Let i = x + -5.1. Let g = -2\/15 + -7\/60. Put 2, g, i in descending order.\nAnswer: 2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 16*h + 185. Let s = h + -161. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 181. Sort v, 4, 1\/3, 3 in descending order.\nAnswer: 4, 3, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834978 is divided by 52185.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32859559 is divided by 490441?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 46*r**6\/5 - 208*r**3 + 5*r**2 - 2. What is the derivative of u(q) wrt q?\nAnswer: 3312*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*z + 60 = -203*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*z = 159*z + 48. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 462*d**2 - 1406*d + 72. Determine a(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 + -0.05. Let m = 3 + -3.6. Let u = -1 - m. Sort u, i, -2 in descending order.\nAnswer: i, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -107 - -1e22a?\nAnswer: 1e123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3430 + 3430. Solve y = 9*v - 26*v + 34 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 16. Let d be 1\/4 + (-399)\/(-84). What is the third derivative of 0*i**u - 3*i**2 - 23*i**d + 17*i**2 wrt i?\nAnswer: -1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 16 = -4*v. Suppose 0 = -5*l + 2*p - 6*p + 195, -v*l + 187 = -3*p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 943, 7289, 24507, 58033, 113303, 195753, 310819, 463937?\n\"Answer: 906*y**3 + 4*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-36 + 146 + -94).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 489343, 978676, 1468009, 1957342, 2446675, 2936008?\nAnswer: 3425341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 26*n**3 + 56*n**2 + 26*n + 28. Let s(p) = 8*p**3 + 20*p**2 + 8*p + 9. What is -3*j(i) + 10*s(i)?\nAnswer: 2*i**3 + 32*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 54 = -4*p, 0 = p + 51*o - 56*o - 117 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/12, -0.02, -3\/4, 0.48?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*w - 141*w = 5*l + 5, -8*w - 4*l = 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*h + 583 - 5173 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/(m**(1\/6)*m)))\/m)\/m)\/(m\/(m\/(m\/(m\/m**2*m)))*m))**(-5\/6) assuming m is positive.\nAnswer: m**(85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.5547 centimeters in nanometers?\nAnswer: 4905547000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1536 = -14*g + 110*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*n + 714*n + 295*n)*(3 - 6 + 1).\nAnswer: -2130*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1206*a = -1193*a. Let n(q) be the second derivative of 1\/15*q**6 - 3*q + 1\/5*q**5 + a*q**3 + 1\/6*q**4 + 0*q**2 + 0. Factor n(g).\nAnswer: 2*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*m**4\/7 - 5081*m**3\/7 - 1010*m**2.\nAnswer: m**2*(m - 101)*(51*m + 70)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**6\/5 + 3*p**3\/2 + 8*p. What is the second derivative of o(y) wrt y?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 3*g + 0*g + ((-g + g - 2*g)*(-4 + 4 - 3) + 3*g + 3*g - 4*g)*(-2 - 7 + 1).\nAnswer: -62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5351218 litres in millilitres?\nAnswer: 535.1218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.21 (b) 1 (c) -4 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 144*j**3 + 1211*j**2 - 1220*j + 4. Calculate n(1).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**3 + 2*b**2 - 13*b + 8. List the prime factors of k(-3).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3752202 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2491667*s**3 - 5*s**2\/2 + 6*s - 2831. Suppose 6*g - 10 = g. Let f be n(g). What is f rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 32 (c) 2\/9 (d) -66 (e) -10\/23 (f) -4 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + -44113234?\nAnswer: -44113423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5623?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - 77281\/106530. Let s be ((-3)\/15)\/(1 + 595\/110 + -4). Let k = s + t. Calculate the common denominator of k and -35\/2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 4, g: 1, h: 1, o: 6}. What is prob of picking 1 o and 1 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -2424562161?\nAnswer: -2424562200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191828 and 11900.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 - (-8 + 4) - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/2880 + 16975\/1260?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/2444)\/((9\/(-4))\/(-3))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(1*sqrt(3))*-4)\/(2*sqrt(18)\/(sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6) + sqrt(6))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(4 - 151416\/20) + -6. Round p to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 3 = -12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 76. Solve -2*n = -h + 3*h + l, 3*n - 4*h - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002302 - 10?\nAnswer: 1002232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -326 - -119. Let k = l - -261. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -813, -806, -785, -744, -677, -578?\n\"Answer: r**3 + r**2 - 3*r - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:16 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c**2 - 1016*c + 11988. Calculate z(15).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 121*h**2 + 47568*h + 5897. Calculate z(-393).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.2 (c) 23 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*g**4 + 434*g**3*u**2 - 2*g**3*u - g**2*u + 2479533*g*u**2 wrt g?\nAnswer: -4416*g + 2604*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*l. Suppose l = 2*h - 3*h. Suppose 5*c - 4*b - 30 = -b, h = 2*b. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 2*a + 9. Let d be j(12). Let x = d + -101. Let r = -53 + x. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.524 * 0.14.\nAnswer: 0.07336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5*8.4\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10351178813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6990 - 6990.4617. Round g to 2 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2)\/4 - -10. Let h(i) = i**2 + 13*i + 16. Let f be h(-12). Calculate the highest common divisor of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197\/1008 - -3\/112. Which is smaller: b or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*t - 213 = 251 + 356 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, -11, -3, -2 in decreasing order.\nAnswer: -2, -3, -11, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.9935 litres in millilitres?\nAnswer: 419993.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54012680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 720 - 724. Suppose -4*f - 4*z + 28 = 0, -27 = -5*f - 2*z + z. Put h, f, -3 in increasing order.\nAnswer: h, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/24 - 2*v**5\/15 - v**4\/24 + v**3\/3 - 5*v**2. Find d such that p(d) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434 and 2044?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 2*j + 2. Let n be l(-2). Suppose -n*y - 188 + 62 = 0. Let o = -98 - y. Find the common denominator of -31 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630974 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.70111 weeks in minutes?\nAnswer: 974747.1888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -161078.17 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 2322 = 29*w - 0*w + 37*w for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 + q**4\/4 - q**3\/3 + q**2\/2 - 110*q. Calculate c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.1 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*o + f + 4*f, 5*o + 3*f - 50 = 0. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millisecond in microseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026153.\nAnswer: 2026153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/468, -4, 3?\nAnswer: -1\/468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, y: 1, c: 2, f: 2}. Give prob of sequence tyft.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-12 + 6 - (1 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j - 128. Calculate w(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 26 = 11*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7180.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15 - -2) + 16\/4. Calculate the common denominator of (26\/(-9))\/(1\/(-3)) and 22\/10*(-20 + x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**2 + 116*u + 12. Calculate the smallest common multiple of q(13) and 70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19084 and 44769431?\nAnswer: 44788515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/18*(-9)\/(-45). Suppose -17 = -5*j - 2. Let f = 368 - 347. Put x, -3, j, f in increasing order.\nAnswer: -3, x, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 4 + 5758*d**2 - 1 - 5756*d**2 - 1. Give g(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -43 (b) -15 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qppp when four letters picked without replacement from pmpmhmmmmmqqhqmqqqmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 4139 + 4921 = 10*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55796 divided by -1924.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d**3 + d**2 + 1. Let s(f) = -3*f**3. Suppose 0 = -n - n - 98. Let y = n + 9. Let b be y\/(-30)*3\/2. Determine b*i(z) - 11*s(z).\nAnswer: z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1135 - 0?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2734, -5466, -8198, -10930, -13662?\nAnswer: -16394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g**3 - 770*g**2 + 3545*g + 4340 = 0 for g.\nAnswer: -1, 7, 124\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1534 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111799730 divided by -1597139?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/4308564 and 101\/10088?\nAnswer: 835861416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4238 * 0.1.\nAnswer: 423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 10*b + 4. Let x be g(-10). Let y(n) = 3*n - 5*n**2 + 2 + n**3 + 4 - x. Calculate y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12cc7a (base 15) to base 14.\nAnswer: -1975d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2036458 is divided by 12050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 + 246*c**2 - 249*c**2 - 19*c + 27*c.\nAnswer: -3*c**2 + 8*c + 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than -0.111545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 107. Solve 0 = 2*a + 2*b + 4, 2*b = y*b + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 5. Suppose -5*f + 9*f = -3*n - 256, 0 = -4*n. Let u be 5 - (-12)\/f*26. Which is the third smallest value? (a) 1\/2 (b) w (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, y: 2, s: 3, h: 1}. What is prob of picking 2 s and 2 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(((i\/(i**(2\/7)\/i))\/i)\/i*i))))\/i)**(-3\/10)*(i*i**(1\/4)*i*i)\/(i\/i**8*i) assuming i is positive.\nAnswer: i**(265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 507, -26, 37.\nAnswer: -26, 37, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + d - 12 = -3*v, 2*d + 36 = 4*v. Let j(r) = -r**3 - 9*r**2 - r + 9. Calculate the remainder when j(-9) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 30. Solve 16 = -10*t + b*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a + 39. What is the units digit of u(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16810607167 minus 5543?\nAnswer: -16810612710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4)*(5*t + 35*t + 79*t)*(-5*t - 4*t**3 + 5*t).\nAnswer: -476*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.199*0.007.\nAnswer: -0.001393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 14642?\nAnswer: 14645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6*(7 - 8\/8). Let k(a) = a**3 + a. Let o(z) be the first derivative of 2*z**2 - 2 - 2\/3*z**3 + 1\/4*z**4 - z. What is d*o(x) + 4*k(x)?\nAnswer: 3*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1993215, -1993164, -1993057, -1992876, -1992603?\nAnswer: -1992220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000010950536 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17530 (base 11) to base 2\nAnswer: 110000000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 463. Let l(w) = -5*w + 465. Determine -4*b(p) - 3*l(p).\nAnswer: -p + 457","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 324?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 = 2*w + 7, -3*w + 2*p - 15 = 0. Let g(z) = -7 + 3*z + 7. Let a(j) be the first derivative of 5*j**2 - 2. Determine w*g(s) + 2*a(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -3\/14, -2\/21, -0.4, 0.4?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 89880?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 9*g - 4. Let c be 1\/(2*g\/10). Suppose 25 = 5*d, -2*z - 2*d + 0*d = -20. Solve 0 = -z*p + 3*u - 37, 2*u = -c*p - 7 - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-131 - (-61 - 33)) + (-79 - 3)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:19 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771576933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 276808\/199 - 1391. Let y = r + -989\/1194. Which is the third biggest value? (a) y (b) -4 (c) 10\/7 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, 0.186, -2\/3, -1\/14, -0.04?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 210*z - 3341. Calculate g(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.24798.\nAnswer: 0.024798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7281.096 milliseconds in seconds?\nAnswer: 7.281096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Suppose 2*o + 2*f + 3*f = 32, -m*f = o - 22. Factor -9 + 1 - o*r - r**2 - 1.\nAnswer: -(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -585 - -544. Is d < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019899 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 - 268294*g**2 - 536594*g - 268298 = 0. Calculate g.\nAnswer: -1, 134149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 605 and 4114?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 + -4?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 303140?\nAnswer: -303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 9) + 6 + 1. Suppose -w*q + 9 = -q. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)**(-1)*(c\/(c\/(c**(-5)*c)))**(1\/44))**(5\/11) assuming c is positive.\nAnswer: c**(-115\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 920.8104 micrometers to centimeters.\nAnswer: 0.09208104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144068024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 10431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366 and 150243?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17821, 35631, 53441?\n\"Answer: 17810*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20618215 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 - 4*o. Let g be u(3). Let n be (-3)\/9 + 14\/g. Let k(w) = 2*w**2 - 2*w - 2. Let d be k(n). Solve 0 = -l - d*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5755676.\nAnswer: 2, 1438919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3*sqrt(5) + -1*sqrt(15)\/sqrt(3) + sqrt(5) - ((sqrt(80)\/sqrt(2))\/sqrt(8) + (sqrt(10)*3)\/sqrt(2)))*2)**2.\nAnswer: -56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a**3 + 3*a**2 - 3*a - 344. Let i(k) = 15*k**3 - 5*k**2 + 5*k + 689. Give -3*i(w) - 5*r(w).\nAnswer: -5*w**3 - 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2089, -4170, -6251, -8332?\nAnswer: -10413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3491 + 1797. Let r = -681 - y. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 13. Let a be (f - 2)*(-2)\/8 - -1. Solve -2*i - 10 = -a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 34*i - 168.\nAnswer: 2*(i - 21)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1976*x - 551*x - 1985*x + 4503*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 55*l + 27. Give t(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(3 - 87241\/(-28)). Round b to the nearest 100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-15)*u\/u**(-1\/2) assuming u is positive.\nAnswer: u**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 272 + 324459863.891.\nAnswer: 324460135.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddxh when four letters picked without replacement from {d: 2, x: 2, f: 1, h: 1, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -22. What is the closest to i in -3, 0.4, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 2. Let s be p(2). Let q = 5 - s. What is the second derivative of -8*d + 6*d + d + d**q wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) + (0 - 0). Let q = 0.146 - -20.054. Let j = q - 20. What is the closest to j in r, 1, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4505981 divided by -197\nAnswer: -22873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1240 + -55?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 4*m + 4*m**3 - 5*m**2 - 3*m. Let q be i(4). What is the greatest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 7, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 32*c + 3. Let j(v) = -v**3 - 19. Let a be j(0). What are the prime factors of c\/2*2*a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284*f + 2227 = 2301*f. What is the remainder when f is divided by 6 - 2 - -39 - -1?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4)*p)\/p)**0)**4 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-180)*-33*4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7 - 30\/(-63)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3138616*h*w**3 - 49985*h*w**2 + 14*h*w wrt w.\nAnswer: -18831696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvjv when four letters picked without replacement from {v: 11, f: 1, p: 6, j: 1}.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:22 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-552)\/(-1288))\/((-33)\/(-7))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*y = 4*y + 13, -y = -2*p + 19. Let f(w) = -w**2 + 13*w. Let x be f(p). Suppose 2*k = 34 + x. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98723054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17779912 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -836, -3480, -7934, -14198, -22272, -32156?\n\"Answer: -905*o**2 + 71*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.17295 tonnes in nanograms?\nAnswer: 21172950000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 6*b + 18*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -10, 5, 38, 95, 182, 305, 470?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 36 = -t, 108*o - t + 18 = 110*o. Suppose 0*c = -3*c + 297. Calculate the lowest common multiple of c and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 3072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -45*d**3 + 720*d**2 - 1845*d + 1130. Let i(m) = -20*m**3 + 320*m**2 - 820*m + 502. Let n(z) = -20*i(z) + 9*x(z). What is u in n(u) = 0?\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x - 105. Let z be g(-4). Suppose 3*b = -b - 24. Let h = b - z. What is the closest to 2\/5 in 0.1, -5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 + 160. Let f = -88.0000436 - k. Round f to six decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b - 6. Let z be m(-3). Let w = z + 57. Suppose -2*f = -2*d - 12, -3*f + w*d + 4 = -2*f. What is the remainder when 12 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyfeeppypy. Give prob of sequence yf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-18))\/((-4)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840707, 840563, 840419, 840275?\nAnswer: 840131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8111*w**2 - 51473*w**2 - 14522*w**2.\nAnswer: -57884*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/12)\/(2 - 1). Let g = -1\/136 + -131\/680. Let v = -7 - -22\/3. Which is the nearest to v? (a) g (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-1 - (-1)\/2). Solve 3*z + 3*o + 6 = b, 0*z + 5*o = -2*z - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4*z + 2*z - 1)*(-40*z**2 + 3*z - z + 119*z**2) as f*z + b + j*z**3 + c*z**2 and give c.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-6) + 2 - (-12)\/36. Let m(o) = o**3 - 6*o**2 + 9*o - 48. Let p be m(c). Factor 36\/5*u**2 - 6\/5 + p*u.\nAnswer: 6*(u + 1)*(6*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 3*z**2 + 2*z - 3. Suppose 0 = 671*j - 668*j + 6. Let d(w) = 4*w**3 - 6*w**2 + 5*w - 6. Calculate j*d(a) + 5*c(a).\nAnswer: 2*a**3 - 3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h + 114*h = 82*h - 150 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/11 - 48*n**3 + 18558*n**2\/11 + 1832*n - 38184\/11 = 0. Calculate n.\nAnswer: -2, 1, 43, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255860767 times -4?\nAnswer: -5023443068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-5)\/s)\/s)\/(s*s**(-2)))\/(s*s**(-2))**(-20)*(s**(-2))**(10\/3)*s*s**(-1)\/s*s**7 assuming s is positive.\nAnswer: s**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1099*v**2. Let a(u) = 44*u**2 + 10*u. Let y(x) = 31*x**2 + 7*x. Let q(o) = -7*a(o) + 10*y(o). Give c(q(z)).\nAnswer: -4396*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*j**5 - 57*j**4 - 120*j**3 - 72*j**2 + 48*j + 48 = 0. Calculate j.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 4. Let n be b(4). Suppose -4*s + s + 42 = n. Solve 2*v + s = -2*g, 2*v - v + 3*g = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 18. Let g be w(13). Let o be (7 + -15)*(1 + g). Suppose -2*a - 2*a = -4*t - o, 2*t = -6. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2548 (base 10) to base 8.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4 - 2 + 1 + 2 - 4 + 4 - 1 + 6 - 3 - 4 + (-2 + 7 - 3)*(-1 + 0 + 3) - 1 - 4 + 3 + 7 - 3 - 2)*(-r + 3*r - r) + 20*r - 67*r + 32*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 132503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 3. Let a(i) = -i**3 - 529 - 5*i**2 + 40*i + 534 - 13*i**2. Let n be a(-20). Determine s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 25. What is v(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83, -90, -121, -188, -303?\n\"Answer: -2*d**3 + 7*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 4:25 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.2 (c) -0.51 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, o: 1, u: 2, g: 1, m: 1}. What is prob of sequence uuod?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24860, -99461, -223796, -397865?\n\"Answer: -24867*y**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1142*u + 18. Determine h(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5955031.1 - -5949234.6758. Let p = m - -5797. What is p rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -651*y**4 - 241*y**2 + 814446*y wrt y?\nAnswer: -7812*y**2 - 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c. Let o be s(-4). Suppose -15*u = -39 - 81. Calculate the highest common factor of o and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4164828720 to the nearest 1000000.\nAnswer: 4165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647825 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-36))\/(((-14)\/(-6))\/(-1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71623 is divided by 70?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2951 + -14751\/5. Let j = -1.45 + -3.67. Let x = j + 0.12. What is the closest to 0.1 in -1, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2)\/o)\/(o*o*o\/(o*o**(-1\/7)))*o\/o**4*o*o**(-3\/7) assuming o is positive.\nAnswer: o**(-57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53357665 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(242) + 1)*-6 + 0)**2.\nAnswer: 4752*sqrt(2) + 52488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-28 - (-12 + -3 + 14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 4422741?\nAnswer: 4422736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88437721 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4 + 21. Suppose -5*k + 6 + 4 = 0. Let a be k*s\/(-30)*-3. Let b(p) = -10*p**3 + p**2 - 1. What is b(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2595208729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/1393994 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 + 5*m - 14*m**2 - 5*m - 322.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -41, -82, -137?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/10 - 6\/15. Let f be (-21)\/7 + (-34)\/z. Is f greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276398363 minus -2?\nAnswer: -276398361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -44*c**4 + 5*c**3 + 5*c**2 - 30. Let s(h) = -22*h**4 + 3*h**3 + 3*h**2 - 15. Let g(i) = -3*j(i) + 5*s(i). Find the first derivative of g(o) wrt o.\nAnswer: 88*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/12798 and -1\/78?\nAnswer: 166374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.937 - 0.063. Let k = i + 54.9999911. Round k to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*w - f = -190*w - 5, -5*f = 2*w - 17. Solve 6*y = -4*h + 7*y, 0 = -5*h + y - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753 = 3*r - 417. Suppose 0 = -5*p + 5*f + 1050, 4*f = -p - p + r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t**(-11\/5))\/(t**(-1\/27)*t*t\/(t*t**(-4)*t*t)) assuming t is positive.\nAnswer: t**(-1642\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22434663751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2 - 16. List the prime factors of r(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/24 and 73\/255.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 24, 77, 184, 363, 632, 1009?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 9*o. Let a(k) = -5*k**2 + 298*k - 743. Let l be a(57). Let y = -24 + 42. Let w(i) = i. What is l*b(z) + y*w(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889912372?\nAnswer: 2, 17, 53, 131, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 2*g - 2. Let v be m(1). Suppose -6*y = -266 + 254. Solve -20 = y*q + v*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - 3*s - 4. Let z(g) = 2995 + g - 5*g**3 + 3*g + 3*g**3 - 2990 - 7*g**2. Calculate -5*v(d) - 4*z(d).\nAnswer: 3*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(2\/4). Let d = u - -2. Let m = 39.6 - 40. Which is the nearest to d? (a) 0 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxf when three letters picked without replacement from {j: 3, f: 3, x: 12}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (27 - (11 + (4 - 3) + 2) - 99)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p + 1. Let k be q(-1). Let o be ((-204)\/24)\/(k\/2). What is the greatest common factor of 51 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.31 = 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -90*q**2 - 14*q + 6. Let d(b) = 29*b**2 + 5*b - 2. Let r(w) = -17*d(w) - 6*m(w). Let u be -3*(2\/3)\/2. What are the prime factors of r(u)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -81473\nAnswer: -407365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 3, z: 2, p: 1}. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2. Let k(a) be the first derivative of -a**5\/60 - 11*a**2\/2 + 11. Let i(l) be the second derivative of k(l). Calculate i(d(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-10) - (-72)\/(-20))\/((-14)\/833). Solve -250 = -3*c - a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72718, 72719, 72720, 72721, 72722?\n\"Answer: n + 72717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14605*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 - 330973*p**3\/2 - 9928515*p**2\/2 - 74462175*p\/2.\nAnswer: -p*(p + 15)**2*(p + 330943)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 6. What is the second derivative of -4*d**4 - d + 2*d**q + d - d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 19 - 255*r - 199*r - 35.\nAnswer: -454*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 - 153*r + 8. Determine o(8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1a4094 (base 13) to base 11\nAnswer: -415264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let o(s) = 8*s. Let i(v) = v. Let j(l) = -60*i(l) + 5*o(l). Calculate j(n(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8525467 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/(h\/(h\/h**(1\/21)))*h**33\/h**(-7) assuming h is positive.\nAnswer: h**(965\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 10)*-2 + 16 + -8. Solve x*s + 8 = 0, 0*s - 2*s - 6 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -10\/3 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 9. Suppose 4*f - 4*b - 40 = 0, 4*f + f - 3*b = 58. Let q = f - 14. Determine l(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -582 or -587?\nAnswer: -587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/8 - 31*g**3\/3 - 2236*g**2. Let b(d) = -d. What is b(s(m))?\nAnswer: 3*m + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -3*b**2\/2 + b + 2. Let i(s) = -6*s + 1. Let l(d) = -3*i(d) + 5*m(d). Differentiate l(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a**3 + 48275244*a**2 + 57052521*a + 8777310 = 0. What is a?\nAnswer: -1462885, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343 by 12.\nAnswer: 343\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 759 + -40. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -3\/2*c**2 - 140*c - 8\/3*c**3 - 8. What is the derivative of x(i) wrt i?\nAnswer: -16*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 13*c + 43. Give w(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*o**3 + 215*o**2 - 215*o**2 - 1863*o**3.\nAnswer: -1307*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 9*o + 9. What is the tens digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 9*x + 5*f + 20, 3*f + 12 = -2*x. Solve x = -z - 9 + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {c: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.024593403\nAnswer: -0.073780209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2784 times -121\nAnswer: -336864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150*k - 139*k + 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 9295460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3. Let u(m) = -m. What is -n(p) + 2*u(p)?\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -146. Suppose -s*l = -5*q - 6, -5*l - 6 = -8*l + 3*q. Solve -4*k + l = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-25))\/(13\/(-338)*(-5)\/((-25)\/30)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104178 - 104177.911037. Let z = -60.289 + 60.2. Let i = n + z. What is i rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 836 = -2\/623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009562751693 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2587*n - 356968. Give z(-138).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 - 8*y - 3. Let v be j(-2). Let x = 87\/4 - 41\/2. Which is the second smallest value? (a) v (b) x (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 136. What is the common denominator of v and 3\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, -582, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -7*i**5\/30 - 23*i**4\/18 - 8*i**3\/9 - 333*i**2. Factor d(t).\nAnswer: -2*(t + 2)*(21*t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 i, and 1 f when four letters picked without replacement from {e: 5, i: 3, f: 4, v: 2, a: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -5 + 6*sqrt(637)*-2*3 + -3)**2.\nAnswer: 2520*sqrt(13) + 825577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27785473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 21031845*k + 2*k**2 - 21031851*k - 1125*k**3 to the form n*k**2 + f*k**3 + y*k + x and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16023*i + 66984*i + 11655*i + 2.\nAnswer: 94662*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let n(l) = 12*l + 11. Calculate f(n(p)).\nAnswer: 144*p**2 + 264*p + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + v - 115 + 40 = 0, 3*v = o - 55. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3051054.00141 - 3051272. Let m = 217.5 - -0.5. Let p = z + m. Round p to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.813238343 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.38524 and 34?\nAnswer: -81.09816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l - 91*l = 38*l - 2112 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341*w**2 - 369*w**2 - 358*w**2 - 6406 + 1155*w**2 - 9*w wrt w.\nAnswer: 174*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8185.39 * 3.5.\nAnswer: -28648.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 790 (base 10) to base 9\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3039*q**2 - 9*q - 20. Let r(c) = -3036*c**2 + 11*c + 25. What is -5*m(v) - 4*r(v)?\nAnswer: -3051*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 16. Let a be d(11). Let o = -8 + a. Let b = 1748 + -1749. Sort o, b, 1, -4 in decreasing order.\nAnswer: 1, b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddwmjd. What is prob of sequence dj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 524 - 524. Suppose 0 = 2*r + 14*v - 9*v - 10, u = -5*r + v - 2. Solve 5*s - 2*s + r*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvy. Give prob of sequence vy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3252\/11 - -9767\/33. What is the fifth biggest value in 14.6, -0.4, m, 0.1, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 9*l - 13. Is p(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 7*l + 10. Let j be k(-4). What is the closest to -2\/7 in -1\/7, 0.5, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c - 34*c - 7*c - 76*c to the form m + q*c and give q.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360447533.\nAnswer: 79, 4562627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1100\nAnswer: 1\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4 + 29*b - 49*b + 19*b. Let y be (-9)\/(-2)*4\/(-2). Let n be i(y). What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441 and 294?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 44200258*k**2. Let l(j) = -5*j**2. Give n(l(a)).\nAnswer: 1105006450*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*d = 2*g - 11, -3*g + 2*d - 31 = 0. Let n = -594 + 581. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 4*z + 3. Let v be t(2). Let f(b) = -b**2 + 5*b - 3. Let c be f(v). Suppose c*m = 11 + 7. Solve q = -k + m*k + 4, 0 = -5*k - q - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5547293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -509, -2, -4 in increasing order.\nAnswer: -509, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o + 18 = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 9. Let t be f(-4). Suppose 0 = -t*h - 4*u + u - 14, -3 = u. Which is greater: 2\/13 or h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 2, l: 11}. Give prob of picking 1 o and 1 d.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11347 + 135260?\nAnswer: 146607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 101120 > 101125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b. Let t be c(-5). Let k = 22 - t. What is the greatest common divisor of k and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = 3*j + 255, 2*j - 5*u = 38546 - 38386 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - j = 0, -2*j + 1 = 3*k + 8. Let o = 3.5 + -4. What is the biggest value in o, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u + 150 = 0. Suppose -2*t + 7 = 2*a + 47, 4*a - t = -u. Let z = -11 - a. Solve 5*d + 5*s = -20, -d - z = -4*d + 2*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46313517424 + 0.49\nAnswer: -46313517423.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (16\/24)\/(-2)*-18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 + w + 5. Suppose -90*a = -26*a - 832. Calculate the remainder when z(4) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 - (-2)\/2). Suppose 4*c - 105 - 27 = n. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o**3 - 6*o**2 + 35289 wrt o?\nAnswer: 12*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86339282 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let g(z) be the first derivative of 19*z**2\/2 - 19*z - 62. What is the remainder when g(m) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - a - 98 = 0, -6*x + 2*a + 496 = -x. Suppose -x = -3*j - 0*j - g, -g - 138 = -4*j. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/40*4*2\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63050 and 8663070?\nAnswer: 43315350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:27 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3196106*l*n**2 + 3785*n**2 + 4*n - 1 wrt l.\nAnswer: -3196106*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1342087 + -756248. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921188 is divided by 29108.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2001200 (base 4) to base 10\nAnswer: -8288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*o**3 - 5939*o**2 + 15*o - 1538 wrt o.\nAnswer: -132*o - 11878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.77 - -0.67. Suppose 5*x - 2*q = -17, 4*x - q = -5*q - 36. Sort -1, f, x in decreasing order.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.75 - -0.25. Let s = u + -10. Sort s, 3, -0.1 in descending order.\nAnswer: 3, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 83, 2\/3, -9, -5, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 5*j + 69, -55*s + 3*j = -59*s - 6. Let x be (-2)\/5 - 154\/(-10). Suppose 5 = 4*o - x. Solve -o*c = -3*r + 7, -3*r = -2*c + 2 - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a - 2 - 76 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f - 2. Let w be p(-1). Suppose z + 133 = 3*z + t, -2*t - 203 = -w*z. Let d = z + -44. Calculate the remainder when 89 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-376) + (45\/(-24))\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.147 (b) 4\/11 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:33 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*f - 151 + 3076 = 0. Let i(q) = -5*q - 17. Give i(f).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by (-3)\/(-8 + (-5)\/((-620)\/986))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (-1 - -1)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/861171 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5676 + 0.12.\nAnswer: -2.4476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, z: 2, t: 3}. What is prob of picking 1 t and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008222 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q + 7471. Let g = q - -328643\/44. What is the common denominator of 396\/45 - 8 - ((-2168)\/(-960) - 5) and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/520380 and 97\/3240.\nAnswer: 9366840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 1 + (-1 + 3 + 1)*(-3 + 2 + 4))*(-157*v**4 - 57 + 57) in the form j*v**3 + o*v**2 + q*v + n + m*v**4 and give m.\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 327*j**3 - 23*j**2 + 44*j. List the prime factors of u(3).\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9608409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308 by 2.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 501, 854, 1313, 1914?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3 + 5*u**2\/2 - 50*u + 3. Give x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6346 and -105073.\nAnswer: -111419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 30. Let s be r(15). Find the third derivative of 2*i**2 + 27*i**4 - 52*i**4 + s*i**2 wrt i.\nAnswer: -600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qjjjqlqqjljjjjjjjqj.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + 14*u - 24. Let b be t(-6). Suppose -2*i - d + 5 = 0, -3*i + 3*d - 13 + 16 = b. Solve -5*y = -l + 19, 0 = -0*l - l + i*y + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1088)*-1 - ((sqrt(1088) - (0 + sqrt(1088))) + sqrt(1088) + 0 - sqrt(1088)))*-1)**2.\nAnswer: -32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 839*l + 1200*l - 431*l - 17688 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -11*o**6\/6 - 4*o**5\/5 + o**4 - 5762*o**3\/3 - 1973. Find the third derivative of s(r) wrt r.\nAnswer: -660*r**2 - 96*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, -0.21, 0.97?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -50*o + 55*o + 51, -2*g - 126 = -70*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -59. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 l, and 1 s when four letters picked without replacement from sgssddllsdyygsgsd?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-3)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 347019\nAnswer: 2\/347019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from aagcaaasacgtycaay?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.219. Let k = g - 5.481. Sort 114, 0.2, k, 4 in ascending order.\nAnswer: k, 0.2, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/23524 and -169\/42?\nAnswer: 494004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 646 = -902. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 100?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 - 2*c + 7. Determine g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132576 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/5 - 54*d**2 = 0. Calculate d.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 59, -7, 1, -1, 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*((h**(3\/4)\/h)\/h)\/h*h))\/h**(3\/16) assuming h is positive.\nAnswer: h**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4 + 49*p**3 + 453*p**2 + 311*p - 814 = 0?\nAnswer: -37, -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000389929 rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (17\/34*0\/(-2))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -392 and 4768633.\nAnswer: 4768241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1158, 258, -1242, -3348, -6066?\nAnswer: -9402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-25))\/((-4)\/170). Calculate the remainder when 28 is divided by b\/(-8) - (-3)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(4 + sqrt(72)*-3*-1 + 5 + -2*sqrt(72) + 5))**2.\nAnswer: 8064*sqrt(2) + 12864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-16) + 48988866\/544 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 - 15*q**4 - 10*q**3 + 10*q**2 + 15*q + 5.\nAnswer: -5*(q - 1)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19300252*h**3 + 1927*h + 8.\nAnswer: -115801512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 12 = -27*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/(-189))\/4 + (-68)\/(-306)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) 3 (b) 1\/12 (c) 3\/8 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 311\/5. Let l = -105 + 105.1. Which is the closest to l? (a) k (b) -4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, 1 i, and 1 l when four letters picked without replacement from lifkm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 148. What is the remainder when q is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 799 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2\/2 - s - 4. Let j be r(-6). Suppose 5*y + 2*n = 157, -j*y = -10*y - n + 156. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3169873948 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*9\/(-54)*(-43)\/((-1677)\/13806)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-108)\/8*(7 + (-93)\/9). Calculate the greatest common divisor of w and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50246165 less than 0.3?\nAnswer: -50246164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1707 + 69 = 16*y. Does 40 divide ((y\/(-4))\/(-1))\/(38\/1216)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -0.18043746.\nAnswer: -0.81956254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, j: 1}. What is prob of sequence ej?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4043101 (base 7) to base 9.\nAnswer: 813164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/3)\/(220\/30))\/((-68)\/(-374))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/2 + 14933*a**3 + 179171*a**2\/2 + 164233*a + 89580 = 0?\nAnswer: -29860, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.8 + -12.8. Put 0.3, o, -0.24 in descending order.\nAnswer: 0.3, -0.24, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 5. Let v be 4*-2*(-28)\/32 + 3. Give d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5160841759 + -75101.\nAnswer: 5160766658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2472 (b) -1\/5 (c) -3\/719\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 + -1)) + -1 + -14 + (317 - 332).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212315 - -2262?\nAnswer: 214610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1057 (b) -577 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**5 + 332*r**4 - r**3 - 44110*r**2?\nAnswer: -180*r**2 + 7968*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3434978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89676 - -1881376?\nAnswer: 1971052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 5709706 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*j**6 + 30*j**5 - 2711*j**2 - j - 2 wrt j?\nAnswer: -14760*j**3 + 1800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 11*n - 4. Let p be j(-8). Let r = 152 + p. Let k = 50 - r. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 22. Solve 0 = 3*a + l*v - v + 15, 4*v + 17 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 1:48 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-82)\/656)\/((-2)\/(-156)).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*n + 9, -5*c - 3 = 2*n + 4. Let g = 17.3 + -29.27. Let y = 12 + g. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 - 7560*w**3 + 7661*w**3 + 0*w**2 - 18*w**2.\nAnswer: 101*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -1336171.\nAnswer: -1336131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v + 1. Let g be k(-7). Suppose p - 2 = g, 0 = -2*m + p - 13. Sort -2, m, 4.\nAnswer: m, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 + 11 - 11)*(-3 + 3 - 1).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 42 = -12*z - 32*g + 58*g, -9*g + 42 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 30*n + 1860. Let v = 98 + n. Solve 5 = -3*w + 4*w, 5*u + v*w = 40 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38660 is divided by 1053?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924786143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -130. Calculate the common denominator of 55\/2*t\/(-87) and -137\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 5*k**3 + 13*k - 10*k + 3*k**4 - 7*k**2 to the form q + g*k**4 + t*k**2 + d*k + j*k**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 2496.\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (30 + -16)) + 17.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g + 1495. Determine j(83).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/(-1 + 3). Let z(u) = -u - 1. Let a be z(r). Let i = 3 - 7. What is the nearest to 0 in i, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353 - 325*w + 630*w - 307*w + w**2 to the form g*w**2 + a + t*w and give a.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -120. What is the greatest common factor of c and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x. Let w(v) = -5*v. Let a(j) = 2*o(j) - 5*w(j). Let t(u) = -65*u**2. Calculate t(a(l)).\nAnswer: -65*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 0*j + 217 - 221 + 0*j to v + k*j**2 + f*j and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 31*d**5\/30 + d**4\/24 + 323*d**3\/3 - 7868*d**2. What is the first derivative of u(a) wrt a?\nAnswer: 124*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - r + r + (2*r**2 + 8*r**2 - 3*r**2)*(-3 + 3 + 2) to h*r**2 + g + p*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6979 - 5849. Is 1130 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 60477.59mm?\nAnswer: 60.47759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {j: 6, g: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:35 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 0 (c) 34 (d) -3\/8 (e) 2\/15 (f) -87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 793508 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 - 86. Suppose -3*x + q = -121, 5*x = q + 4*q + k. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 3*y + 0*y)*(73 - 73 - 7*y) - 2*y**2 + y**2 - 5*y**2 to h*y**2 + w*y + v and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -62, -4, -2\/11 in descending order.\nAnswer: -2\/11, -2, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15385\/21 - -4258\/7. Let k = -126 - w. Suppose 38*p = 34*p - 8. Which is the biggest value? (a) 1 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {j: 3, x: 2, u: 4, y: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*b - 124926 + 798424 = -145*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**3 - 10 + 10 + (2 + i**3 - 2)*(1 - 2 - 1) - 5*i**3 + 3*i**3 - 7*i**3 + (-166 + 166 - 9*i**2)*(-2*i - 4 + 4).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3316247?\nAnswer: 11, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*23\/(-46)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.038 and 9.53662.\nAnswer: 9.49862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -15 - (79 - 81)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*a + 20 - 25, -3*l + 15 = 0. Suppose -3877 = -a*h + 2019. Is h a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (-168)\/(-44)) + (-146)\/(-44). Suppose 0 = 127*s - 133*s. Find q such that -c*q**2 + s + q = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1221\/133 - -65\/7. Which is the third smallest value? (a) 0.1 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 5*d. Let o be n(5). Let r(c) = 0*c + o*c + 11*c**2. Let j(x) = -118*x**2 - 109*x**2 - 70*x**2 + 300*x**2. Determine j(r(v)).\nAnswer: 363*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 1525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 81*w = 210. What is the fourth smallest value in -0.3, w, -4, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/2 - 8*o**3\/3 + 2*o**2 + 8*o + 1496. What is u(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 163?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.0582 - 23.7582. Let a be 1\/2*(-4)\/(-15). Let r = -0.2 - 4.8. What is the third biggest value in r, -0.3, a, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3237.3 + -3238.3. Which is the closest to o? (a) 54 (b) -4\/5 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18672000, 18671996, 18671992, 18671988, 18671984, 18671980?\nAnswer: 18671976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 14*k - 263. What is the remainder when k is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 18921303?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-567)\/(-162))\/(1225\/154 - 8).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -67535457?\nAnswer: 67535457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 357998805 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/14)\/(1014\/(-1183)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/78207084 and -163\/13572?\nAnswer: 1016692092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 104 + 16. Let u(z) = 4*z. Let p be u(7). Let v = -13 + p. What is the remainder when w is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 33*h**3 + 5*h**2. Let k(d) = 49*d**3 + 7*d**2. Suppose -10*j = -4*x - 8*j - 18, 2*j - 3 = x. Give x*k(r) + 7*q(r).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 - 3*h**2 + 9. Suppose 22*s + 2 = 21*s. Let k(y) = -4 - 2*y**3 - 4*y + y**2 + 4*y. Give s*o(u) - 5*k(u).\nAnswer: 2*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:45 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - s - 6*s - 6*s to the form x*s + t and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z - 6. Let f(b) = -11*b - 4. Let q(n) = -3*f(n) + 2*j(n). Suppose 2*d - 4 = -0*d. Let w(t) = -d*t - 3*t + 3*t. What is q(w(i))?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(2*d - 4 + 4 + (-1 - 3 + 3)*(d + 0*d - 2*d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/90)\/((-2)\/18). Solve 0 = -2*u - t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 18864*c + 56619*c - 18879*c - 18881*c.\nAnswer: 3*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 2, p: 2, i: 2, d: 2, r: 1}. What is prob of sequence dmpm?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.24, 4, -4, 1?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*i**2 + 419*i - 189913?\nAnswer: 94*i + 419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82464222*r**6 - 148976081*r**2 wrt r?\nAnswer: 9895706640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 4 + -9 + 105 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 12. Suppose -264*z = -278*z - 112. Calculate r(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 16*r + 63. Determine o(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11356, -11357, -11358, -11359?\nAnswer: -11360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:35 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 184. Calculate the greatest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**7*l)*l)\/(l\/(l*l\/l**(2\/5))) assuming l is positive.\nAnswer: l**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 99 = -0*w. Suppose -w*c + 12*c = 7. Suppose 0 = 11*o - 4*o - c. Which is bigger: o or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24\/13, -0.2, 3.3 in decreasing order.\nAnswer: 3.3, -0.2, -1, -24\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1582557.04483 - -7\nAnswer: -1582550.04483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 15640*d - 93876.\nAnswer: (d - 15646)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 2. Let w be d(2). Suppose 5*i - 2*n + 29 = 0, 20*n + 13 = -i + 24*n. Put w, i, 3 in descending order.\nAnswer: 3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 0*s - 1 - 2\/3*s**3 + 0*s**2. Let v(r) = -2*r. Give v(w(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1365, 1420, 1487, 1566, 1657, 1760?\n\"Answer: 6*g**2 + 37*g + 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.2. Which is the closest to 0.5? (a) p (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2\/(-4) + 1). Suppose 2*k - 5*r = -4*r + 48, -a*k - r = -96. What is the remainder when k is divided by (-6 + (2 + -22)\/(-4))*-13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0456 - -1215252\nAnswer: 1215252.0456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b - 11. Let z(m) = 5*m + 6. Let v(c) = c**2 - 9*c + 14. Let x be v(4). What is x*g(q) - 11*z(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z - 2. Let m(p) = -112*p**3 - 6*p + 114. Let r(q) = m(q) - 5*v(q). Differentiate r(u) wrt u.\nAnswer: -351*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 36331.02?\nAnswer: -18165.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-10))\/(((-132)\/(-99))\/(40\/18))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1804 and 305778.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 26. Solve -3*x + 1 + 2 = -3*t, t + x - 5 = a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1212 and 6666.\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 81 = 13. Let o = 181 + w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703\/2 - -344. Calculate the common denominator of -41\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, n: 3, w: 1}. Give prob of picking 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v*v\/((v\/(v\/v**(-4\/5))*v*v)\/v))**(-34) assuming v is positive.\nAnswer: v**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r + 21. Let a(i) = -4*i - 10. Let w(b) = -b. Let d(p) = -a(p) - 3*w(p). Let v(k) = 9*d(k) - 4*j(k). Let m = -20 - -16. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 3*k + 1. Let z be w(-2). Let x = -9 - -8. Let f be x - -2*2\/4. Solve -z*o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/10 + 86*g**3\/5 + 5547*g**2\/5 + 159014*g\/5 - 581. Factor s(p).\nAnswer: 2*(p + 43)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*l + 33, l = -t + 5*t - 13. Suppose -2 + 0 = -t*p. Solve w + 3 + p = -c, -c + 2*w = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.5 + -12.5. Let f = -423702 - -423760.99946. Let s = d + f. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/69*9\/10. Let j = 112.7 + -121. Let b = 8 + j. What is the second biggest value in l, b, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 70 (b) 3\/4 (c) -1 (d) -1\/2 (e) -18 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 659532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 19. Let g be (-7)\/(v\/1180)*-15000. Suppose l - g = -4*l. Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -2 - -61) + -27 + 21?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 108702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 379002 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:18 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271 - 138. Let g = s + -880. Is 8 + (-8)\/2 - g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -152. Find the first derivative of -y*x - 99*x - 30*x + 139 wrt x.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 44 = 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4, j - y - 17 = 3*y. Let v = -508\/17 + 30. Let q be (-7 + 301\/28 - 4)\/1. Which is the closest to 4? (a) q (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**3 - 26*l**2 + 62*l - 5. Determine z(2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4317.6645982 take away 2?\nAnswer: -4319.6645982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24916.\nAnswer: 2, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -22. Let t be 4*(-1)\/(h\/(-57)). Let a = -8 + t. What is the remainder when 31 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8)*-1)\/(336\/192)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020555 (base 6) in base 2?\nAnswer: 1100000100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1957050 or -1957061?\nAnswer: -1957061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32759209 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 135 - 260 + 128 - 2*o.\nAnswer: 10*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1035 - -1048. Solve -14 + 40 = w*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 140257317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbtb. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g - 71. Let n be i(-5). Let w(y) = 4 + 3 - n + y**2 + 0*y**2. Determine w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(405)*-2))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*t = 4*z - 1268*t + 47, -34*z = -37*z + 3*t - 15 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10741 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-150)*(-3)\/3*-4\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -539*u - 6009. Determine t(-11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243309.3 weeks in minutes?\nAnswer: 2452557744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*(l\/(l*l\/l**(11\/3)))\/l*l)\/l))\/l*l\/(l*(l*l**(-3\/2)*l*l)\/l) assuming l is positive.\nAnswer: l**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + f**2 - 3*f**2 + 5*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1522678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -553 - -1382. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 16. Determine m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -2122?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2628*v**2 + 10*v. Let r(q) = -22338*q**2 - 84*q. Determine 42*p(g) + 5*r(g).\nAnswer: -1314*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/113 bigger than -19100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573264864 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2 - 6 = 4*t, 4 = -2*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -30*h + 36. Let l be j(-5). Solve -l = 5*k - 196 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 - 22*t**3\/3 - 8*t**2.\nAnswer: 2*t**2*(t - 12)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000239657244 to seven dps.\nAnswer: -0.0002397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1.9.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-112))\/((-60)\/140).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, -0.83, -59?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 1507 = -9*w + 79933. What are the prime factors of w?\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 521.5 and -4108.\nAnswer: -3586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*124)\/(95\/(-2660)*-56)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(0 + 6 - 3)*(-678*s**2 + 451*s - 451*s) - 5*s**2 + 0*s**2 + 4*s**2.\nAnswer: -4069*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 494*n**4 - 3*n - 33 - 510*n**4 - 47. Let s(q) = -33*q**4 - 5*q - 161. Let z(b) = -5*c(b) + 3*s(b). What is the derivative of z(r) wrt r?\nAnswer: -76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -32, 5, 2\/7, 0.3, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 l when four letters picked without replacement from cllcccllclcl?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 11*a - a)*(3*a**3 + 1 - 1 + 2*a**3 + 2*a**3 - 6*a**3 - a + a + 2*a**3 + (-2*a**2 - a**2 + 4*a**2)*(a - 2 + 2)).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*f + 9*f**5 + 1878*f**2 - 16*f + 315*f**6 - 278*f**6 wrt f?\nAnswer: 4440*f**3 + 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328813.\nAnswer: 328813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 17*j**2 + 2*j + 8. Determine z(17).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5557 + -5587. Sort -0.2, 2\/17, l.\nAnswer: l, -0.2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 13*k = 10*k + 20, 3*n - 2*n = -2*k + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 13. Let a(s) = -s**2 + 6*s - 3. Let y be a(4). Let h(t) = -3*t + 19. Let l(o) = y*h(o) + 7*v(o). Let i(x) = -x + 1. Calculate -3*i(g) + l(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + -5 - (-1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, m: 1}. What is prob of picking 2 m and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 58*s**2 + 58*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/896339 and 2\/7?\nAnswer: 6274373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*3\/(-72)*(43 + -44). Sort 3, 0.4, 1\/7, 0.3, w.\nAnswer: w, 1\/7, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 140 - 108. Suppose -9*b = -5*h - 6*b + p, -3*h + 16 = b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2\/9, 2, 2\/37, -12, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) -16\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsjw when four letters picked without replacement from {w: 6, b: 2, i: 2, j: 1, s: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-8))\/(138\/(-92))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91095 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3950, -35881, -122544, -291305, -569530, -984585, -1563836, -2334649?\nAnswer: -3324390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(240)\/sqrt(5) + sqrt(48) + sqrt(3072)*-2 + ((-2*-2*sqrt(384) + sqrt(384) - sqrt(384))\/sqrt(8)*5)**2.\nAnswer: -56*sqrt(3) + 19201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 111 + 68)*(0*z**2 + z**2 - 4*z**2).\nAnswer: -207*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, w: 12, q: 1, i: 2, k: 2}. Give prob of sequence wal.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 510*y**2 + 33457*y + 64866.\nAnswer: -(y - 569)*(y + 2)*(y + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 13 - (-9 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, -2*j = 4*v - 3*j - 52. Solve 7*c - v = -35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37610 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2)*3)\/((sqrt(4)*-1 - sqrt(4))*2)*-5 + 4 + (-2*(0 + sqrt(396)))**2 + 5.\nAnswer: 15*sqrt(11)\/4 + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:36 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 43*b + 15. Let r be (-2 - 1)\/(36\/(-24)*(-3)\/(-9)). Let k(q) = q**2 + 22*q - 8. Calculate r*y(d) + 11*k(d).\nAnswer: -d**2 - 16*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000952 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7263199*v - 14526397*v + 7263231*v.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let q(h) be the third derivative of -1\/24*h**4 + 0 + 5*h**2 + 0*h**3 + 0*h. Calculate u(q(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*b - 537*b - 54 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668384 divided by 1668384?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 65.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/275*(-2)\/(-14)*40\/(-48).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -24*z + 15*z. Solve -5*r + 2*j = 30, 0 = 3*r - 5*j + 29 + z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)\/b)\/b)\/b)\/((b*b**(-2\/73))\/b) assuming b is positive.\nAnswer: b**(-363\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:09 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50286 - -114986. What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*j**2 + 444*j**2 + 0*j + 0*j.\nAnswer: -845*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 714229964560 + 714229964560.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2129703 is divided by 709898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 747196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p = -77*p - 3555. Let k = -708 + p. Solve k*l + 15 = 3*z - z, -z - 2*l - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 5*f - 59, 2*n - 17 = -5*f. Let x be (-1 + -7)*(-5)\/((-70)\/n). Which is smaller: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2753, 5690, 8627, 11564, 14501?\nAnswer: 17438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -7*y**3\/6 - y**2\/2 - 11*y. Calculate i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136879, -273721, -410565, -547411, -684259, -821109, -957961?\n\"Answer: -v**2 - 136839*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3440, -6, 17, -16, 2, 4 in descending order.\nAnswer: 3440, 17, 4, 2, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:17 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*1)\/(100\/50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:56 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06155 + 0.26155. Put -2, 5, -44, u in descending order.\nAnswer: 5, u, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 5, u: 7}. What is prob of sequence txxu?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 55781590399.\nAnswer: 55781590399.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -602, -572, -556, -560, -590, -652, -752, -896?\n\"Answer: -s**3 - s**2 + 40*s - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17030 (base 12) in base 3?\nAnswer: -1200002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18680.67 - -18765. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19720\/44 + (-26)\/143. Let m = -411 + x. What is the remainder when 76 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 6\/11, -1, 1244?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 24, -2\/3, -169?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6.1. Let y = i + 2. Let k = 0.4 + -0.1. Which is the third smallest value? (a) -5 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, q: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 25. Solve -4*k + j*k + 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 - 0\/(4 - 2). Let a be (-7)\/(-28) - 175\/(-4). What is the highest common divisor of p and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*b + 7903 = -10937 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 2*u + 3 + 0 + 10*u**2 - 5*u**2. Let r be k(-1). Suppose 4*i + o = 14, -2*o = r*o + 10. Solve 4*v = -2*s - i, 3*s + 8 = 5*v - s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/11, 4\/3, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*a - 12 + 4 = 0, 3*a = 3*n + 24. Suppose -3*i = -2*i - 3. Put i, n, -2 in ascending order.\nAnswer: n, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60.5 + 60. Let t(m) = -3*m**2 + 9*m + 1. Let v be t(-3). Let w = v - -50. Which is the second biggest value? (a) w (b) l (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (114\/(-15))\/((-3)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -0.3 (c) 10 (d) -1\/14 (e) -1\/3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 - (1 - 4). Suppose -3*o - 1 = 5. Sort x, -3, o.\nAnswer: -3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23300 (base 4) in base 15?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 4*x. Suppose -104 = 3*h + s - 29, -50 = 2*h - s. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10*d = -595. Suppose 5*u - k - k = -d, -6 = 2*k. What is the tens digit of 20\/u*(-130)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/7 - 304*n**2\/7 - 692*n - 2520 = 0. What is n?\nAnswer: -7, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 168465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 + -35856221.1\nAnswer: -35856222.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167.1 - -167. Is c < 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -175*v - 9274. Let g be f(-53). Suppose 2*l + 3*l + 4 = -4*c, 0 = -c - 1. Solve l = -z - g - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*((-36)\/20 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.11, -9, 6\/5, -3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2\/3*n**3 - n**4 + 0*n + 1\/2*n**2 + 2\/5*n**5 - 5 + 1\/2*n**6. Solve i(m) = 0 for m.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -0.00633979?\nAnswer: -0.00633979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 18b?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2\/13))**(-15\/2)*n\/n**5*n**(-4)*n assuming n is positive.\nAnswer: n**(-301\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 882383*d**3*m*n**3 - d**2*m*n**2 - 169*d**2*n**3 + d**2 + 2*d*m*n**3 + 4*d*m*n + 2*d*n**2 wrt d?\nAnswer: 5294298*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + (-876325)\/3. Let x = o + 208109. What is x rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 2\/(6104\/19627). Let l be (-6)\/327*3\/(-24). Let f = l + q. What is the common denominator of f and -43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 373512 and 38868.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4376, 8778, 13180, 17582?\n\"Answer: 4402*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q = 61*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.3 - 14. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000060389 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-8)*(-74)\/(-1110).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/10 - ((-16)\/10 + 2). Suppose -h*d + 25 = 5*p, 2*d = 6*d - 5*p - 2. Suppose 1 = -5*z - u, -z + 2*z + u = d. Is z at least as big as -15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3121707*g**2 - 105*g + 5508 wrt g.\nAnswer: -6243414","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 2. Let i be (-4)\/(16\/20)*28\/(-20). Sort i, d, -5 in ascending order.\nAnswer: -5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348245685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:44 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*(y*y\/(y\/(y**(-1)\/y)))\/y)\/y))**(-44)\/((((y\/(y**(4\/7)*y*y))\/y)\/y)\/y*y**0))**(-3\/5) assuming y is positive.\nAnswer: y**(2676\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10246 + -5470. List the prime factors of p.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 418817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 570*v - 6 - 10 - 519*v - 2*v**2 - 17 + 3. Give o(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-3)\/(-9))\/(-1) - -321. Suppose -3*b = -o - 301. Suppose -5*u = 5*i - 3345, 5*u = -3*i - b + 2213. Round i to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2*b*b)**10)**(-1\/32)*b\/(b*b*b*b\/((b\/(b\/b**(2\/5)))\/b)*b)*b*(b\/(((b**(-3)\/b)\/b)\/b*b))\/b*(b*b*b\/b**(-1\/4))**(-8\/9) assuming b is positive.\nAnswer: b**(-1297\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 3223*y**7\/42 + 34*y**3 + 15*y**2 + 14331*y. What is the second derivative of v(a) wrt a?\nAnswer: 64460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-70)\/21*(-276)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.21, -2\/9, -22, 16\/11, 5?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -2*s**3 - 2*s**2 + 9*s - 2039. What is p(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1.1 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w**3 + w**2 + 1. What is k(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1809 and 131149485?\nAnswer: 393448455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) 5.4 (d) 5 (e) -4 (f) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*q = -87*q + 328. Let z(m) = -9 + m + m**2 + 20 - 2*m. Is z(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*h + u, -u - 2123 = 6*h - 2168 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10316819 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000315921398 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**8)**(-23) assuming f is positive.\nAnswer: f**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/5 + f**4\/2 + f**3 - 2*f**2 - 26*f + 2. Let r(u) = -3*u**3 + 5*u**2 + 5*u - 3. Calculate -5*d(t) + 6*r(t).\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/75 and 13\/62395?\nAnswer: 935925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29044, -29043, -29042?\n\"Answer: x - 29045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/390 + 3\/26. Which is the closest to -0.1? (a) -4\/3 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22180?\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g - u - 1 - 13, u - 8 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68053, -136108, -204161, -272212, -340261, -408308, -476353?\nAnswer: -544396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 345614*y**4 - 5*y**3 - y**2 + 254*y - 315.\nAnswer: 8294736*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -3, 1, -2.\nAnswer: -4, -3, -2, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18097053?\nAnswer: 3, 13, 61, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 - i. Let s(z) = 4*z**3 + 2*z - 1. Let c(v) = -s(v) - 2*y(v). Let g = -1798 + 1800. Determine c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 886 + -855. What is the remainder when 370 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 + 8 = 4*d, -y = 4*d - 15. Suppose -d*j = t - 16, -t + 3*j = -2*j - 32. Calculate the remainder when 503 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 84 = -j. Calculate the least common multiple of j and 12*(17 + 6 + -11).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -18*h**2 - 22*h**2 + 38*h**2. Let b(d) = -2*d + 14*d**2 + 3*d**2 - 4*d**2. Give b(z(c)).\nAnswer: 52*c**4 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121)\/(-605))\/(3\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -157*(58\/(-464)*2*-2)\/((-9)\/(-18))\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n*n)**(-17\/2)*(n**(3\/8)\/n)\/n*n**(-2\/9))**(7\/8) assuming n is positive.\nAnswer: n**(-931\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-312 + 296 - (0 - 1)) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 32*m + 3. Let r be n(3). Let c = 201 - 154. Suppose f - c = -38. What is the highest common divisor of r and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*f - 13, -8*f + 22 = -3*f + 2*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + (-20)\/8 - -125. Let p(f) = t*f**2 + 2*f - 20*f**2 - 2*f. Let u(l) = -l**2. Determine p(u(j)).\nAnswer: 104*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(1089)*2 + sqrt(1089)).\nAnswer: sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + 8*m)*(-3 + 3 + 1)*(1 + 7 - 9).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289321*c**4 - 3692*c + 13.\nAnswer: -3471852*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76187 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) + (sqrt(1728) + -1*sqrt(1728) - sqrt(1728)))*4)\/(-4*(sqrt(256) + (sqrt(256)*-2 - sqrt(256))))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**3 + 8*x + 25*x**3 - 8*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 9*o - 90. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -65, -110, -173, -260, -377, -530, -725?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 55030 (base 6) to base 15\nAnswer: 23a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3591102?\nAnswer: 2, 3, 31, 43, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, h: 2}. What is prob of picking 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/20 + w**4\/2 - w**3\/2 - 5*w**2\/2 + 57*w. Let g be y(4). Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40030069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**4 + 5610*k**3 - 1567980*k**2 - 3158440*k = 0.\nAnswer: -2, 0, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5)\/z**(-7)*(z\/((z**(-2)*z)\/z))**(-1\/16))\/(z\/(z\/(z*z*z**(-9)))*z**0*z**(-4)*z**(1\/6)*z) assuming z is positive.\nAnswer: z**(4139\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1463506\/1411 or 1036?\nAnswer: 1463506\/1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 8*f - 1596129 + 4*f + 4*f.\nAnswer: f - 1596129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:02 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)\/(s\/(s*(s*s**(1\/5)\/s)\/s)))\/(s**2*s*s\/(((s\/s**(-3))\/s)\/s))*s**2\/s*s**(-5)*s**(3\/4)*s*s\/(s*s*s**6) assuming s is positive.\nAnswer: s**(-2209\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.2, -1, -4\/23, -3.\nAnswer: -36, -3, -1, -4\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 50*o)*(-3*o + o + 4*o + 2*o - 4*o + 0*o - o + 2*o + o + (2 + o - 2)*(4 - 6 + 1) + o + 0*o + 7*o).\nAnswer: -450*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 7880056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8648 + -8630. Let w(g) = -g**3 + 20*g**2 - 35*g - 25. What is w(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107967 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*j - 2410212 = -68*j + 21*j. List the prime factors of j.\nAnswer: 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 60 = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:46 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 less than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688004 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22539231146 and -1064.\nAnswer: -22539232210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 5, 154, 4 in decreasing order.\nAnswer: 154, 5, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a\/(a**(-2\/5)\/a))\/a))**(4\/11)\/(a**(-8))**49 assuming a is positive.\nAnswer: a**(21572\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 370 + 480 = 0. Calculate the least common multiple of f and 7.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -25 + 1. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*d - 250*d - 4529*d**3.\nAnswer: -4529*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 13112?\nAnswer: -13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/3 (c) 3\/5 (d) 8067 (e) 24 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.7246905 - -1.7246857. Let a = y - -15. Round a to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9418 - -0.36.\nAnswer: -9417.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 128942690100 to the nearest 1000000.\nAnswer: 128943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1029465.5918 + 1.1638.\nAnswer: 1029466.7556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(32*j**2 - 9*j**2 - 59*j**2)*(-5 + 5 - 24*j**2).\nAnswer: -864*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:01 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*f - 52, -5*b = 8786704*f - 8786709*f - 70 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*(-99)\/2024. Let s = j - 71\/322. What is the closest to s in 5, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 178 - 38 = 4*r, 3*r - 75 = -3*w. What is the units digit of 12\/r - (-8)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1940100 and 1030950?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 159. Let i(d) = -3*d**2. What is u(i(p))?\nAnswer: 27*p**4 - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**2 - 31*x - 12. Let y(o) = 8*o**2 - 21*o - 8. Let c(p) = 5*s(p) - 7*y(p). Let g be c(-2). Solve 0 = -0*l - 2*l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 6, f: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 7. Let v be m(6). Let t be v + (-3)\/(2 - 1). Let i(s) = -s**2 - 4*s - 4. Let p be i(t). Let y(g) = g**3 + 3*g**2 - 4*g - 3. Calculate y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35969, -36657, -37347, -38039, -38733?\n\"Answer: -z**2 - 685*z - 35283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 3*v + 3*v + (-v**2 - 2*v**4 + v**2)*(1 - 1 + 1) + 2*v**3 - 3*v**4 - 2*v**3.\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 177082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101727528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159920.\nAnswer: 2, 5, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let a(m) = 4*m - 3. Give a(w) - 3*u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 498 and 182102.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvwvvvvvvw. Give prob of picking 3 v.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 2440?\nAnswer: -2440.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.38021 nanograms in tonnes?\nAnswer: 0.00000000000004238021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -14359.\nAnswer: 87\/14359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 746443 and 1424.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14080 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 10}. What is prob of picking 1 b and 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 44, 120, 238, 404, 624?\n\"Answer: s**3 + 12*s**2 - 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5112.82 * -5.\nAnswer: 25564.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 25*w + 0 - 9\/4*w**4 + 0*w**3 + 3\/2*w**2. Differentiate d(a) with respect to a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 10, 28, 64, 124, 214, 340, 508?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Calculate the common denominator of -41\/16 and (-957)\/(-22)*l\/(-48).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/9))\/t)**(29\/2))**(-23) assuming t is positive.\nAnswer: t**(667\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 16*v**2 - 1148*v - 10723. What is k(-9)?\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 889 = 3*l + 891, -2*v - 8 = l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (672\/(-128))\/(-21) - (51\/(-36) - 1).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1050148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8657892.382 rounded to the nearest one hundred?\nAnswer: -8657900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 2*a - 3. Let h = -42394 + 42407. What is the remainder when t(4) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4013 - -4021. Solve -9*b - p*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - 0.58. Let i = q + 0.8. What is the third biggest value in 0.2, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times 2.4?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1\/210*h**7 + 0*h**4 - 1\/30*h**5 - 2*h**2 + 1\/120*h**6 + 0 + 0*h + 0*h**3. Suppose p(z) = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0*q**7 - q + 0*q**6 + 0*q**5 - 2 + 0*q**3 - 37\/28*q**8 - 7\/2*q**2 - 5\/12*q**4. Find the third derivative of s(f) wrt f.\nAnswer: -8880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2037326 * 0.05\nAnswer: -101866.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6*1*(-50)\/150. Let t(a) = a**2 - 7*a + 8. Let m be t(6). Suppose 5*i = m*l - 11, -2*l - 3*l = -5*i - 20. What is the closest to 0.1 in r, l, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -550 + 121234?\nAnswer: 120354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 6. Let v be x(-3). Suppose -s + v*s - 25 = 0. What is the third derivative of 3*u**6 + u**6 - s*u**2 - 3*u**6 - 6*u**6 wrt u?\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -57433076?\nAnswer: -57433072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 15, 3, 23 in descending order.\nAnswer: 23, 19, 15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 2.9. Let p = -2.49999997 + h. Round p to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-298*v + 149*v + 147*v - 99*v**2)*(0*v**2 - v**2 + 3*v**2).\nAnswer: -198*v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55836 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3\/(-12) + ((-15601)\/(-4) - 4).\nAnswer: 19480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.869um in centimeters?\nAnswer: 0.0853869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*u + 379, 5*m - 4*u + 262 - 697 = 0. What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z**(1\/5))**(1\/3)*(z**1*z*z)**(-11) assuming z is positive.\nAnswer: z**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1929 - -2708. Calculate the remainder when l is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497\/5 or -98?\nAnswer: -497\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i + 5*i + (3 - 1 + 1)*(-2*i + 4*i + 0*i) + (2 - 2 - 1)*(112*i + 107*i - 25 - 220*i).\nAnswer: 13*i + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -28. Suppose 4*d + 4 = -4*q - 0, -4*q - 9 = 5*d. Solve -2*v - r = q*j, -4*v - 16 = -0*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1427965333 to 4 decimal places.\nAnswer: -0.1428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1262, -10319, -34894, -82745, -161630?\n\"Answer: -1293*h**3 - h**2 - 3*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2716*x - 2330 + 2330)*(-7*x + 1 - 1) in the form q*x + y*x**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 58. Let x = s - -71. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 43377353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - (-2 + -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 4*y + 4. What is the tens digit of z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 0*s - s + ((5 - 2 - 2)*(19*s + 3*s - 2*s) - 3 + s + 3)*(2 - 9 + 1).\nAnswer: -127*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 8\/12*3. Let j(p) = 3*p**2 + p. Let y be j(n). Let l be y\/(-8)*1*-10. Solve 0 = l*k - r + 4, -4 = -6*k + k - r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - (-4 + (0 - 0)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 25 = -3*v, -4*g - 6 = 2*v + 4. Let j be 21\/9 - 1\/v. Solve 0*f - j = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/27)\/8*23\/(-1)*132\/110.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1125 (b) -0.17 (c) 1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80)*2 + 0 - (sqrt(40) - sqrt(120)\/sqrt(3)*4)\/(sqrt(392)*2).\nAnswer: 1 + 115*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120693 or -120681?\nAnswer: -120693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -1\/4*b + 0 + 1\/4*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 9*b + 476 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 + -3. Let o = -7 - n. What is the closest to 0 in -3, o, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -99. Suppose 0*i - 4*i + t = 0. Let s be (-2)\/9 - i\/(-36). What is the third smallest value in s, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997092767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let v be r(2). Suppose v = -0*u + 2*u. Let o be -1 - u\/(4\/(-3)). Solve s = t, -o*t - 3*s = 2*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7115 and -43.\nAnswer: 30.5945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11*1 + (-349)\/(-187). Let r = x - 24\/17. Let g be 2\/28*(-3 - -7)\/1. Are g and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 632 + -280. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 633*n**2 + 155 - 308 + 153 + 165*n**2 - 1132*n**3 wrt n.\nAnswer: -6792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 42*y = -52350. Find the second derivative of w**2 - 5319*w + y*w - 30*w**2 wrt w.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/129)\/((-20)\/(-1710)*(-9)\/6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200555246*s**2 + 1096891*s + 10 wrt s.\nAnswer: -401110492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.717 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -454, -453, -452, -451, -450, -449?\n\"Answer: n - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 708 and 39648?\nAnswer: 39648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103033022 + -111?\nAnswer: 103032511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3870 times -0.4\nAnswer: -1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 8) to base 6.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4830\/(-252) + 7\/(-3). What is the second biggest value in 7, -1\/2, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3216.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -78. Suppose -6*l + a = -3*l. Calculate the smallest common multiple of 2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764352517?\nAnswer: 2207, 346331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 368\/14 + (-2)\/7. Let b(h) = h**2 + 2377*h - 55190. Let d be b(23). Solve -p = 9*n + d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -533*n**3 - 2*n**2 + 6666*n + 6667. What is f(-1)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*n - 3*p - 1397, 0 = 4*n + 2*p - 1880. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 13*r**2 - 13*r - 9. Let c be l(14). Suppose 2*y - c = 3*i, -y + 2 + 0 = -2*i. What is the smallest common multiple of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-255)\/(-12)))\/(101\/(-5555))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*f - 658, -n + 206 - 36 = -4*f. Calculate the highest common divisor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-20) + -1*9\/45. Let j be -1 - 2 - 26\/(-8). Which is the nearest to s? (a) 3\/7 (b) j (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6627*o - 2. Let a be z(1). Suppose -4*i = 3*m - 4*m - a, 3*i - 4959 = 4*m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.2. Let f be 9*(-4)\/(-6)*-1. Let h be (-3)\/(-3)*(f + 1). Which is the nearest to -1? (a) t (b) h (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + 0.3. Let b = -2.5562 + -0.4438. Put y, b, 2, -4\/5 in decreasing order.\nAnswer: 2, y, -4\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179755, -179699, -179643?\nAnswer: -179587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1804 - -178598\/99. Let s = -224\/1287 + l. Sort 5, 0.3, s.\nAnswer: s, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16236*z**3 + 2*z**2 - 7*z - 234559.\nAnswer: 48708*z**2 + 4*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36584.61s in microseconds?\nAnswer: 36584610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-55) + 955\/11?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477601129 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y - 2. Let a be -1*(6\/3 - 1). Let p = 2 - a. Does 11 divide k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -2. Suppose 5 = b, -3*j + k*b - 100 = -0*j. Let l be j*(16\/(-140))\/(-2). Which is greater: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11985 and 1867875?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(147) - sqrt(147)).\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.727 less than 6.22774262?\nAnswer: 6.95474262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, x: 1, r: 1}. What is prob of sequence gv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 3*i**7\/70 + 59*i**6\/50 - 2963*i**5\/100 - 5273*i**4\/60 - 417*i**3\/5 - 36*i**2 + 11853*i. Solve h(z) = 0 for z.\nAnswer: -30, -1, -1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - -2) + 26 + (-9 - 12)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.28999 - 1.29. Round f to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Suppose h - 83 = 4*f - 19, 2*f + 5*h = -32. Let m = 18 + f. Let n(g) = -31*g + 52*g - 21*g + 9*g**m. Give n(i(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 18*n**2 - 2*n + 11. What is h(18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-2)\/(12\/(-1317)). Let o = i - 486. What is the greatest common divisor of 56 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 + 3 = -3*i, 4*m = -12. Find the common denominator of i\/4 + 2 - (-414)\/(-588) and 73\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32954 + 522*j**2 - 32954)*(1 + 1 - 4) - j + 2 - j**2 + 2*j**2 + j**2 in the form f + q*j + d*j**2 and give d.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 5:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 46*t**3 + 22*t**2 - 1900*t - 11. Let x(k) = -17*k**3 - 8*k**2 + 633*k + 4. What is -4*i(v) - 11*x(v)?\nAnswer: 3*v**3 + 637*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374164 divided by -1?\nAnswer: 1374164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4244402 + -11033?\nAnswer: 4233314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 307 + -277. Calculate the remainder when y is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 563, 561, 557, 551, 543?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0616 * -124\nAnswer: 7.6384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 30 - ((-3)\/(-1) - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) -49086 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3*t**2 - 5*t - 11. Calculate h(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j**3 + 15\/2*j**2 - 10*j + 222 - 5\/4*j**4. Factor i(c).\nAnswer: -5*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 100.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:27 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.22 + -14.22. Which is the nearest to -0.2? (a) -11 (b) 1 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 4, 0, -4 in ascending order.\nAnswer: -4, 0, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499*d - 283*d - 648 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -4885\/1142?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1364 - -1367)*1\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 12. Let u be 3 - 1 - (3 - 14). Suppose -u*i + 19 = -9*i + h, 3*i - 2*h = 6. Solve i*n - y = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -640334 by 2.\nAnswer: -320167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 - 7*a. Let x(y) = -y + 5. Let k be x(0). Let v be p(k). Suppose -h - 4*c + v = 0, -2*h + 2*c + 114 = 2*h. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**9*x*x*x\/(x\/(x\/(x*x**38*x*x))*x) assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 121200 (base 3) to base 6\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-43.4671.\nAnswer: -4.34671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + m**4 - m**4 + (-3 + 2 - 1)*(2*m**4 - 3*m**4 - m**4) - m**4 - 3 + 3 + (4*m**2 - 12*m**2 - 5*m**2)*(-2*m**2 - 3*m**2 + 4*m**2).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (12 - 5) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*i**3 + 0 + 3*i**2 + 2 + 15*i - 38*i**2 + 26*i**2 to the form n*i + j + g*i**3 + l*i**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/24)\/z*z))\/((z\/(z*z*z**(-17)*z*z))\/z) assuming z is positive.\nAnswer: z**(-289\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -402910 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 4. Let g(w) = 2*w - 3*w - w - 9 + 8*w. Let u(o) = -2*g(o) - 5*i(o). Let s(t) = -3*t + 2. Let d(z) = 7*s(z) + 6*u(z). What is d(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 8. Let v(q) = -14*q - 16. Let g(t) = 5*l(t) - 2*v(t). Let b be g(-5). Solve -6 = 4*p + 4*j + 2, -5*p + b = -j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18840 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z + 93*z = 36*z - 2037 - 768 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/17421984 and 131\/1152.\nAnswer: 69687936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -8, -6 in descending order.\nAnswer: -2, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7299?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1659183 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145928\/(-629)*12\/58.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -32344?\nAnswer: 32351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 306*f**2 - 438*f + 4039. What is the ten thousands digit of u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 22*k**2 + 18*k + 3. Let j be u(12). Sort -3, -1, 4, j in increasing order.\nAnswer: j, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 987744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efqf. Give prob of sequence qfe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*c - 112988 = 1371*c + 1010*c for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9*o - 2010. List the prime factors of o.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose m*o = q + 262, -3*o - 2*q + 93 = -286. Suppose 0 = -22*u + 19*u + o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8033788 is divided by 422826?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 + h**3\/3 + h**2\/2 + h. Let k be l(-2). Is 0 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8878, -2, -6.\nAnswer: -6, -2, 8878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -242, -255, -272, -293?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*x + 2247 = 13*x - 4632 - 6287 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/24 - 1) + 18\/48?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/12 + u**2. Let y(z) = -33 + 110 + 2*z**2 - 42 - 6*z**2 - 35. Give y(b(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.14 and -861571962278.\nAnswer: -861571962278.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q - q. Is -1 + (q + -92)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 27084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(128)*3 + 1 + 3)**2.\nAnswer: -1152*sqrt(2) + 41488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -856.3 - -856. Which is the nearest to o? (a) -1\/2 (b) 4 (c) 0.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 25. Suppose j - 13 - 7 = q. Solve -2*r = 3*r - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - (-28768)\/(-140). Let m = y + 204. Let j be 11\/(-9) + (-6)\/(-27). Is m at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 + 51426*c**2 - 565892*c + 926064 = 0. Calculate c.\nAnswer: -25724, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 88.99143 millennia?\nAnswer: 889.9143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1190.84, 6, -3\/7 in descending order.\nAnswer: 1190.84, 6, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(891)))**2 + -1.\nAnswer: -900*sqrt(11) + 22374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-19 + 79 - 76).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 3) in base 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 235, -98193\/5, 3?\nAnswer: -98193\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850625?\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - 3*p)*(994*p**3 - 10*p**4 - 1998*p**3 + 270 + 1004*p**3) + (-5*p**3 + 5*p**3 - p**3)*(11 + 14*p**2 - 11).\nAnswer: -4*p**5 - 270*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 14. Give v(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -66*p**3 - 8*p**2 - 4*p + 2. Give u(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 - 2886*a**2\/7 - 85100*a\/7 - 406272\/7 = 0. Calculate a.\nAnswer: -23, -6, 1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 6674764*q\/3 - 5569059306962\/3.\nAnswer: -2*(q + 1668691)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 31 = 2*m, 52 = -25*c + 29*c - 4*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-285)\/(-70))\/((-4)\/(-7)) and 6\/(-27) - 12\/(-297).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5335 + 5337. What is the closest to -3 in 0.4, -3\/5, -0.08, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1735 or -1?\nAnswer: -3\/1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 80. Suppose 2*m - x = -3*m. What is the second biggest value in 1\/4, -5, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -60.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-211)\/(-5) + 3\/(-15). Suppose 5*p = v + b + 364, 0 = 2*p - 2*v - 156. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68361 - -154988. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**7\/42 - 2*u**6\/15 - 3*u**5\/20 + u**4\/3 + 2*u**3\/3 + 3*u - 30. Suppose j(w) = 0. Calculate w.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*1 + 5)*3)**2 - sqrt(51)\/(sqrt(30)\/(sqrt(10)*1)).\nAnswer: 89*sqrt(17) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*6883838\nAnswer: -41303028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 93588*z + 93592.\nAnswer: -4*(z - 23398)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from bqpbqbblpqqpq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 (base 4) in base 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 823867 and 823868 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h - 1\/60*h**6 - 1\/30*h**5 + 1\/6*h**4 + 2*h**2 + 0 + 0*h**3. Factor z(m).\nAnswer: -2*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -744 + 85*r**4 - 3949*r**4 - 624 - 1772*r**4 + 1661 wrt r.\nAnswer: -22544*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/37 in 5, 2, -1\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -51. Suppose -w*j + 11 = 5. Let 4*x - 7\/3*x**j + 4\/3 = 0. Calculate x.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770.2 - 5225?\nAnswer: -6995.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*q = 28, 5*q + 34 = -444575*g + 444578*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4525, 8548, 12563, 16570, 20569, 24560, 28543?\n\"Answer: -4*v**2 + 4035*v + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*t**2 - 667*t**2 - 61 + 61 - 577*t**2.\nAnswer: -872*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1350*j - 2760. Is u(4) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -15. Suppose 2 = -2*n - l. Is n > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3573*i - 750329. What is k(-210)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/25)\/((-21)\/35).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5475)\/(-12264))\/((-10)\/(-8)*1). Suppose -a - 2*a = 0. Is a < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 59*z + 36. Calculate the remainder when i(28) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1097355 and 6860?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -2*c + 5*g, 0 = c - 5*c - 2*g + 178. Do c and 49 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 4 + w + w**3 - 1 - 2*w**3 + 4*w**2. Give g(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 less than 368463?\nAnswer: 368544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(5\/2))**(-4\/7) assuming q is positive.\nAnswer: q**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h - 2. Suppose 2*b = 4*x + 2, 5*x - 3*b = 6*x + 11. Give f(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -513, 0.4?\nAnswer: -513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34015706, 68031409, 102047112, 136062815, 170078518?\n\"Answer: 34015703*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96\/11 - -94\/11. What is the fourth biggest value in 2, 6, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*d + 525*d - 2 + 41*d.\nAnswer: 517*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-836)\/((-1140)\/(-30)))\/(26\/(-91))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*c + 5. Let f = c - -1. What is the remainder when 9 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0126432621 to four dps.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 4, -1, -57, 3.\nAnswer: -57, -1, 3, 4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b - n - 143, -4*n - 176 = -5*b. Suppose -s = s - b. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4 - 2 + 0 + 3 + (-3 + 3 + 2)*(3 + 4 - 5))*(-4*j + 6*j - j) to the form f + k*j and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -258 - -281 - (1\/4)\/(12\/432)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-297)\/(-180) - 136\/340\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 721.\nAnswer: 13\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 14875 = -44*l + 412*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3470e + 23?\nAnswer: -346eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6588?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121012010002010 (base 3) to base 8.\nAnswer: 40644103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 = h - 9*j, 98 = 2*h - 2*j. Let p be ((-1)\/2)\/(1\/106). Let v = h + p. Solve 3 = -q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 + 11*c + 2. Let u(y) = 14*y**2 - 32*y - 7. Let b(f) = -6*u(f) - 17*v(f). Calculate the least common multiple of 12 and b(-7).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*(y*y\/(y\/y**(-8)))\/y*y*y)\/y)\/y)\/y)\/y*(y\/(y**1\/y)*y)\/y*(y**(1\/4))**(-15))**32 assuming y is positive.\nAnswer: y**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 6. Suppose -6 = -2*d - 3*v + 4, -2*d = -p*v. What is the least common multiple of 60\/8 - d\/4 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -37*v**3\/5 - 2409*v**2\/5 + 18388*v\/5 + 2016\/5 = 0.\nAnswer: -72, -4\/37, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 272\/16 + 1*3. Let b = -459 + 459. Solve b = -18*c + m*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6214 divided by -3107\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 1.2. Let r = -0.4 - -1. Let l = r - w. Which is the nearest to -2? (a) l (b) -1\/5 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.2. Let i be ((-4)\/7)\/((-38)\/(-14) - 3). Which is the closest to w? (a) i (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 75*g - 13. Calculate l(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 o, and 1 l when four letters picked without replacement from mlhoooeeehellmg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(-23)*-1*3\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)*w)\/w)**21\/(w**(-7)\/w*w**(1\/12)\/w))**50 assuming w is positive.\nAnswer: w**(-3625\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150 + -2734777776.\nAnswer: -2734778926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268465288 - 268465288.225000938. Let p = m - -0.225. What is p rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3)*(-1 + -9). Let i(g) = 3*g - 12. What is the least common multiple of i(z) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -42 (b) -6 (c) 0.4 (d) 6 (e) 1\/328 (f) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2 + (-5)\/30*10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3161.4 + -25674.9562\nAnswer: -28836.3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**3 - 11*f + 11*f)*(72*f**2 + 20*f**2 + 26*f**2).\nAnswer: 826*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -7. Is (3903\/4 - 1)\/(j\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 3 - (-4022 - -3964)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377285694.\nAnswer: 2, 3, 53, 353, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -5 - 3 - 0. Suppose -3*t - w*h + 24 = 0, 3*h + 7 = 4*t - 0*h. Let a = 36 + -20. Solve t*v - a = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -12 + 42. Suppose p = 2*i - 1, 0 = -p + c*p + 2*i - 26. Let m be 3 - (-2)\/(-2)*-1. What is the nearest to 1 in -5, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3740*z - 629. Does 62 divide b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 - 4. Let h = -0.057 - -3.157. Let m = 3.3 - h. What is the closest to l in 2\/5, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) 0.0996 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 839 + 826 - 1663 + 2*g**4 - 99*g**3 to the form i + s*g**2 + u*g**4 + k*g + p*g**3 and give p.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297058*k**3*l**2 + 197*k**3*o**2 - k**2*l*o**2 - 11*k*l**2 - 74882*k*o**2 wrt k.\nAnswer: 1782348*l**2 + 1182*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-21) + -1)*(-2)\/(-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + -2. Let o be (-4)\/f*-2 - 286\/(-3). Is (-3)\/(-1 - o\/(-110)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(20\/3)*26. Let q = z - -353\/9. Put -1\/14, q, 0.1 in ascending order.\nAnswer: -1\/14, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41407 and 214837.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 8) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 22 = -4*h - 8*l, 3*h = -5*l + 24. Suppose -2*a + 11 = -7*a - 4*p, 0 = -5*a + p + 9. Sort h, 0, a, -5 in increasing order.\nAnswer: -5, h, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/15 (b) 2205 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 4, g: 7, q: 3}. Give prob of sequence qc.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 6, t: 8}. Give prob of picking 1 t and 1 a.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15330640 is divided by 2814.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 5337761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 - 69*d**3 + 8*d**2 - 9*d**2 - 2*d**2 in the form c + t*d + n*d**2 + i*d**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 47730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 481938 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and 44.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-7 + 6 + 8)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*f + 7992, -q - 3*f = -5*f - 990. Is q >= 2005\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 5\/3 (c) 1668.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 16, 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4107 and 259.\nAnswer: 28749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 161*n + 4. Does 20 divide r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*j + 170*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -8*t + 34260. Let h = t - 1239. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -6. Let w(q) = -q**3 - 2*q**2 - 3*q - 1. Let n be w(-2). Let h = -2 + 4. Which is the closest to h? (a) o (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 10)\/(-1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28989717 + 0.1.\nAnswer: -28989716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-1008)*-99*84\/(-12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 6*f**2 - 7*f**2 + 120 - 36*f**3 - 118 in the form c*f + y*f**3 + v*f**2 + i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n - 4*u - 4, 2*n + u - 5 = 0. Let j = 42 - 33. Let x(q) = q**2 - 7*q - 7. Calculate the smallest common multiple of n and x(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*4 - sqrt(70)\/(sqrt(10)*2) - (sqrt(2688) - (sqrt(2688) - sqrt(2688)*1))\/(sqrt(72)\/(2*sqrt(12))))*2.\nAnswer: -73*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:18 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0487 + 169.0513. Let x = -169 + a. What is the closest to 2 in -0.2, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 - o + o. Let d(v) = v**2 + 2 - 2*v**2 - 3*v**2 + v**2. Let i(k) = -k**2 + 1. Let t(y) = d(y) - 2*i(y). Give w(t(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50460119 to the power of 1\/2, to the nearest integer?\nAnswer: 7104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -105\/4, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31833190 to the nearest integer?\nAnswer: 5642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -587*b**2 + 10*b**4 - 1 + 0 + 0 + 590*b**2 to the form x*b**4 + l*b**2 + k*b**3 + s*b + z and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 5, h: 3, y: 9}. Give prob of sequence yii.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16382 + -11631. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1098738012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 15. Let l be 1 + 2 + (11 + -2)*-1. Let j be w(l). What is the units digit of (6\/j)\/(3\/99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 34*p + 5*p + 9*p + 6*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -40.4. What is the third smallest value in n, 2\/9, 2\/11, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 10. Let t = f - 3. Let d = 37 + -35. Solve 10 = 5*g + t*r, -d*g - 10 = -0*r + 4*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -16. Let v = w + 23. What is the highest common factor of v and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 35. Let u = j - -58.031. Let t = 0.014 + u. What is t rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-d**2 + 2*d - 2*d) - d**2 + 3*d**2 - d**2 + 2*d**2 + 2*d**2 + 2*d**2 - 5*d**2 + d**2 + d**2 in the form w + f*d + g*d**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 34*s**2 - 46*s + 90. Does 25 divide j(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-21)\/14*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4353*c**2*p*t - 64*c**2*p - 2*c**2*t + 2*c**2 - 6*c*p - c wrt t?\nAnswer: -4353*c**2*p - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h = 93*h + 88 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5271 (base 10) to base 5.\nAnswer: 132041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:32 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -5 (c) 33 (d) -6\/31 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 5. Let y be h(-6). Suppose 4*m - 1 = y. Solve 0 = 4*f + m + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 14. Let j = k + 5. Suppose 1 - 37 = -9*n. Calculate the highest common factor of n and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23157 - -23156.977971. Round a to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -332153, -664074, -995995, -1327916, -1659837?\n\"Answer: -331921*r - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1104240040?\nAnswer: 1104240040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310651531 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 4938495 and 4938494 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -156135155?\nAnswer: 4\/156135155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**2 - 5*f - 6. Let l be s(-1). Let u = -43 - -30. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*c**3 + 94*c**3 + 89*c**3 - c**2 - 160*c**3.\nAnswer: -63*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = 12. Let w = q - -16. Solve -x + w*x - 18 = 2*k, 0 = -4*x - k + 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-6)*(-330)\/(-20))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -330 * -3\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13163611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/23*11*(-10)\/(-8360)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.39 + -51. Let h = -1.39 + m. Is h > -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 669574618, 669574617, 669574616, 669574615?\n\"Answer: -a + 669574619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = s, -12*t + 15*t + 37 = 4*s. What is the third derivative of 27*m**5 + 14*m**2 - 5 - s*m**2 - 15*m**5 - 11*m**5 + 48*m**4 wrt m?\nAnswer: 60*m**2 + 1152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 2761*g**2 + 13784*g + 11024.\nAnswer: (g + 1)*(g + 4)*(g + 2756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10.94874 - -417153\nAnswer: 417142.05126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**3 - 6*p - 5. Let g = -184 + 172. Let l be 213\/12 + 9\/g. Let i(w) = -23*w**3 - 17*w - 14. Determine l*a(m) - 6*i(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 4155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6*d - 32 = -d + 28, -4*o - 2*d = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -4*f + 255, -5*g = -2*f + 120. Let k = 62 - f. Suppose 2*c - k*i - 34 - 84 = 0, -4*i = -3*c + 174. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/54 and 143\/73236.\nAnswer: 659124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*m - 136, -5*m = -0*m + 3*s - 162. Put 1, m, 6 in descending order.\nAnswer: m, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9690933 and -70\/51.\nAnswer: 164745861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 171.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11571.44 plus 802?\nAnswer: -10769.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*n - 780*n + 36 = -393*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 905*l + 70 - 148*l - 126.\nAnswer: 757*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**5 - 48*t**4 - 2601*t - 1 wrt t?\nAnswer: 80*t**3 - 576*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574445503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 36. Let s(v) = -4*v**2 - 7*v + 10. Let r be s(-3). Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 + 14 = 0. Let c = h - -13. Let a = c - -5. Put 3, a, -1 in decreasing order.\nAnswer: a, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 2. Let k be j(5). Suppose -3*c + 32 = -4*d, -4*d - 3*c - 2*c = 32. Let f = k + d. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 2*f - 1. Let m = 31 - 43. Let o be (4\/m)\/((-2)\/18). Let u be t(o). What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*n - 1051 = 3*n - 996, 2*x + 33 = -3*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*w + w = -159, -5*i = 3*w - 269. Suppose 4*j + 3*t - i = 0, -3*j + 8*j - 2*t = 40. Suppose 0 = 2*r + j, 0 = -3*c + 4*r + 62 + 36. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.087 - 27.913. Let y = -27.99465 - z. Round y to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0)*(-2 + 1). Let u(y) = -4 + 0*y + y + w*y. Let k(d) = d**3 - 25*d**2 - 25*d - 21. Let c be k(26). What is u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11238192, -11238188, -11238184, -11238180?\nAnswer: -11238176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -437 - -542. List the prime factors of 21252\/g + 2\/10*-2.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**8\/(j*(j\/(((j\/j**26)\/j)\/j))\/j)*j**(-4\/5)*j*j\/(j*j*j**(-21)*j)*j assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xdd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*h - 797 + 45*h + 28*h + 26*h + 28*h to the form r*h + j and give j.\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 6*q - 5*d - 10, 0 = 4*q - 5*d + 53. Which is smaller: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-6) + (-1 - -1). Suppose 2*a + 0*a - d = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by -48?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13083 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20045, -24293, -31373, -41285, -54029?\nAnswer: -69605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1346 + -760. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1512290?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w + 1302*w**2 - 1305*w**2 - 7*w**5 - 13*w wrt w.\nAnswer: -140*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -218*j - 4*p - 0*p - 1332 - 828, -322*j - 326*j + p - 5 = -648*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 0.2, 64 in descending order.\nAnswer: 64, 13, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304*o**2 - 910*o**2 + 1069*o**2 - 30*o**2 - 666*o**2 - 300*o**2.\nAnswer: -2141*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293*h + 125*h + 5*h)*(30 - 8 - 11 + 13).\nAnswer: 10152*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*p - 584 = -49*p + 71*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let d(y) = 89*y**2 + 22. What is d(r(i))?\nAnswer: 89*i**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 74.70201928461.\nAnswer: 69.70201928461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 + 4*l + 2. Let n(y) = 7*y**2 - 5*y - 3. Let q(x) = 2*x**2 - 11*x - 8. Let w be q(-1). Determine w*i(v) + 4*n(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/3 + 98*a**3\/3 - 348*a**2 - 3848*a\/3 - 2704\/3 = 0. Calculate a.\nAnswer: -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 + 36)\/(0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + j + 6. Let w be v(0). Calculate the common denominator of 6 - (848\/120 - 0) and 194\/(-30) - 2\/w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 15*h**2 - h + 8. Let l be b(8). Let k = -57 - l. Calculate the remainder when 277 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k + 13. Let j be i(2). Sort 37, -2, j in descending order.\nAnswer: 37, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 4407*v**3 + 975*v**2 - 126*v**2 + 5447*v**3 wrt v.\nAnswer: 6240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, c: 3}. What is prob of sequence cd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/3 (b) 56 (c) -1\/3 (d) 1 (e) 12.8 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 4)*(-5*n + 0*n + 2*n)*(4*n**3 - 5*n**3 + 4*n**3) in the form j + h*n + x*n**2 + l*n**4 + d*n**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2206 + 2206 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 + 156*v + 92. Calculate the remainder when 285 is divided by o(-22).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, -3763, -10367, -19623, -31537?\nAnswer: -46115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -7 - ((-30 - 30) + 48).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79853 (base 12) to base 5.\nAnswer: 20140134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1593*z + 1446*z - 2162*z)*(-5*z**2 + z**2 + 2*z**2).\nAnswer: -1754*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(275) + -1)**2 + (((1 + sqrt(275))**2 - sqrt(275)) + 1 - sqrt(275)) - (sqrt(275) + -3*sqrt(275) + 2 + (-1*(0 + sqrt(275)))**2))*-1.\nAnswer: -1100 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 145 = -62. Let r = 2 - p. Calculate the remainder when r is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let l be 34 - (w - 2\/2). Let r = l - -42. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.33646218 to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3237.83 + -3106.3. What is x rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let s(y) = -y**2 - 128*y + 4009. Let w be s(26). Solve -5*i - j*d - 27 = 0, w*d + 10 = -i - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1300 - 5033?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944945.8 decades to months.\nAnswer: 113393496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1151646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -4, -7, 2, 2955 in ascending order.\nAnswer: -7, -5, -4, 2, 3, 2955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1502*s - 1760*s - 8833*s to the form i + o*s and give o.\nAnswer: -12095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9083 divided by -1?\nAnswer: 9083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -425, -445, -473, -509?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159645 by 134.\nAnswer: 159645\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 7)*(-245)\/(-3640) + 6\/39. Put 5, 1.45, p, 0.1, 2\/5 in increasing order.\nAnswer: p, 0.1, 2\/5, 1.45, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70420 and 211260?\nAnswer: 211260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85, 86, 75, 46, -7, -90, -209?\n\"Answer: -j**3 + 8*j + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63843 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (23 - 2744\/120) + (-9)\/5. Let h = -49 + 49.5. Put m, -8\/3, -1, h in ascending order.\nAnswer: -8\/3, m, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 756*k + 45077 - 1985 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387677317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**25\/o)**(1\/24) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w - 115. Let v be x(-24). Suppose -2*d - v + 193 = 0. Solve -8*q - d - 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 105, 215, 337, 453, 545, 595?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 4*h - 171, 2*f - h = -4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-9)\/6)*-4. Suppose -t*m - 45 - 27 = 0. Let j = 52 + m. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - (-1199)\/4. Let p = -1995 - -1995. Is 15 a factor of (d\/(-40))\/(p - 1\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**2 + 1\/20*z**5 + 0*z**4 + 1\/336*z**8 + 0 + 0*z + 0*z**3 + 0*z**7 + 0*z**6. What is the third derivative of y(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 3458860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39740 and 23844.\nAnswer: 119220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 26. Calculate the remainder when 35 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 - -330. Suppose -4*i + v = 5*z, 6*z - 10*z + 66 = -2*i. Suppose -2*a + 100 = -200. What is the greatest common divisor of a and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/3 - 71488538*d**3\/3 - 1277652623367277*d**2\/3 + 1703537117110532*d - 1703537212428588 = 0.\nAnswer: -35744271, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-2) + (-1071 - 7). Let i = y + 1738. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t - t)*(-2*t + 2*t + 3*t - 2) to i*t + s*t**2 + n and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (9 + -1 - 0)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbzc when four letters picked without replacement from fczzccccb.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 2, p: 1}. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 222\/7 (b) 0.4 (c) 2\/3 (d) 253 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 712052*y**3 + 644840 wrt y.\nAnswer: 2136156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7959555, -7959557, -7959559?\n\"Answer: -2*q - 7959553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132483\/(-3483) + 38)\/((-2)\/(-30)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50785811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 443*a\/4 + 7511\/2.\nAnswer: (a - 406)*(a - 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -77 (c) 3\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2. Let l(p) = -99*p**2 + 1 + 179*p**2 - 105*p**2. Determine v(l(b)).\nAnswer: 1875*b**4 - 150*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -18. Let i be (-1 - 4\/(-2)) + y. Let u = i - -29. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+1.384\nAnswer: 1.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 - ((-192 - -109) + 83).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -32*r + 47*r + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28541 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51927 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65487, 130987, 196497, 262017?\nAnswer: 327547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 995929 and 995926 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -401, -404, -409, -416, -425?\n\"Answer: -n**2 - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 54*w. Let x(d) be the first derivative of 2*d**2 + 141. Determine l(x(h)).\nAnswer: 216*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 663261 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 - -100. Let j = 601\/4 + c. Let t = 2 + -1.5. What is the smallest value in 4, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + -1 + 9 + (-3 + 2 - -9). Solve -2*t + s = 3*h, -h + 3*t + 4 = -2*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -35680?\nAnswer: -35678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2108 by -62.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxoxoxeoo. What is prob of picking 1 o and 1 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 9:09 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-182*y - 216*y + 280*y)*(-5 + 5 - 5*y) to the form x + r*y + a*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - 103*p - 45. Calculate c(-13).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-5)*(110 + -10). Let d be m\/9*(-3)\/2. Calculate the highest common divisor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.14 (b) 1\/5 (c) 2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1*3 - -2). Suppose b + t*b = -12. Let c be (-1)\/(-3) - 52\/12. What is the third biggest value in b, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*j = 23, -j = -4*a + 25 - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217362694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873950787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8189314 to the power of 1\/2, to the nearest integer?\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z + 0)*(1 - 2*z - 1) + 3*z**2 + 0*z**2 - 4*z**2 + 1 - 1 + z**2 + 255*z**2 + 202*z**2 + 12*z**2.\nAnswer: 465*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54080827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 789200.2 millilitres in litres?\nAnswer: 789.2002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 1. Let k(h) = -81*h - 4. Determine k(r) + 2*v(r).\nAnswer: -83*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 - 1069*z + 11. Let f(d) = -d**2 - 214*d + 2. Determine 11*f(p) - 2*k(p).\nAnswer: -p**2 - 216*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*l + 54914 = 0, 818*l + 73214 = 4*y + 820*l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - p - 21, 0 = 5*j + 5*p + 1 + 4. Suppose 253 = j*l - 195. Which is smaller: l or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 12*a - 9. Let x be g(-9). Let b(z) = 56*z**2 - x*z**2 - 24*z**2. Let m(r) = r**2. Determine b(m(c)).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197604 and 29940.\nAnswer: 988020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 46242?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiij when four letters picked without replacement from jjjicii?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*s - s + 4 = 0, 4*s = -8. Suppose -20 = k - g*k - 4*d, 2*k + 10 = 2*d. Factor -1\/2*x**2 - 1\/2*x + k.\nAnswer: -x*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1924263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/(-5 + (-141)\/(-30)) is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aga when three letters picked without replacement from aaaiiaagaiigiiiaia?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p + 12. Let q be i(-6). Suppose -6 = -z + 2*m + 8, -z + m + 13 = 0. Calculate the highest common divisor of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 646 - 1724. Let a = v - -1078.467. What is a rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183462664 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/234*195\/120?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 743437 (base 8) to base 14\nAnswer: 66327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - l - 1. Let i be h(-1). Let c(m) = -m**2 + 6*m - 2. Let t be c(i). What is the units digit of 2 + t + 8\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 30. Give g(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/20 - 7*d**4\/12 - d**3 - 7*d**2 + 201*d + 2. Determine k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -656a (base 14) to base 11.\nAnswer: -121a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**4\/4 - 573*h**3\/4 - 113991*h**2\/4 + 229689*h\/4 - 28782 = 0.\nAnswer: -123, 1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310121 (base 4) to base 9.\nAnswer: -11186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348697 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/368988607 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.3, 38\/3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667714768.\nAnswer: 2, 7, 851677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*o = 7, x + 18 - 6 = 8*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**4 - 6*i**3 + 2*i**2 - 64. Let k(u) = u**4 + u**3 - 1. Let r(o) = -6*k(o) - n(o). Find the first derivative of r(p) wrt p.\nAnswer: -48*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k + 4. Let x be d(0). Suppose 4 = 3*i + n - 11, -4*n + 28 = x*i. Let s = 31.4 + -32.4. What is the nearest to 0 in s, i, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2 + (-323)\/(-187). What is the second smallest value in 2\/9, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let x = -1548\/143 + 136\/13. What is the third biggest value in -0.2, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 113*b - 123*b + 123 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/61?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v + 3*v**2 + (-58*v + 130*v + 0*v)*(9*v + 11*v - 5*v).\nAnswer: 1083*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7122959 is divided by 46553.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 5*y**2 - 12*y - 1. Give n(6).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -11 + -15 + 37 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33143 and 1969.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522932045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 103411 (base 8) to base 6\nAnswer: 424013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.6, -65?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*z = -11 - 14, -3*z = 4*n - 19. Sort 3, n, 5 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**5 - k**4 + k**3 + k**2 - k. Let d(s) = -60*s**5 + 4*s**4 + 4*s - 11*s**2 - 16*s**3 + 68*s**5 - s**2. Let r(m) = -d(m) - 4*n(m). Factor r(t).\nAnswer: -4*t**2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/17, 1, -1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441686556 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.49 + 0.49. Let p = 116 - -47. Let u = 140 - p. Which is the closest to m? (a) 0.1 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b*c**2*v + 27*b*c*n*v + 2*c**2*v + 3*c**2 - 20*c*n*v + 7*n wrt b?\nAnswer: 10*c**2*v + 27*c*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.27676 + -0.04624. What is u rounded to two dps?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8)*((-53200)\/(-15))\/(-140)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 147. Let v(f) = 25701 - 51393 + 7*f + 25692 + 3*f. Give v(b(z)).\nAnswer: -10*z**2 - 1470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*l**2 - 73 + 137 - 63 - 2*l**2 + 0*l + 0*l + (0*l + 3*l - l)*(-4*l + 0*l + 3*l).\nAnswer: 22*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 114 + 117 - 119*b - 231)*(-12*b - 9*b + 15*b).\nAnswer: 6*b**3 + 714*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11632641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + l - 2. Suppose n + 6 = -2*n. Let b be q(n). Let m(r) = -r**2 + 6*r - 1. Let x be m(b). Solve -x = -4*o + 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/60 + n**4\/6 + 7*n**3\/3 - 4*n**2. Let i be a(6). Suppose i*p - 4 = -0*p. Solve 0 = -4*k + p*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -214, -1, 604 in increasing order.\nAnswer: -214, -1, 5, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = 6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let n(z) = 3*z + 46. Suppose 3*a + 3 + 33 = 0. Let x be n(a). Let q(t) = -x + 23*t - 16*t + 10. Give q(b(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 73*i - 1091. Let n be l(23). Calculate the greatest common factor of 60 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/180)\/(2\/(18\/3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v + 5*m = -95, -87 = 3*v - 3*m. What are the prime factors of 40\/v*(3 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(3 + (-200)\/56). What is the third smallest value in 1.8, x, 1\/8, 2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*m = 2*p - 2, -5*m + 7 = -4*p. Which is the nearest to 1? (a) 0.2 (b) 2\/7 (c) p (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -5*i**7\/21 - i**4\/4 + 9*i**2\/2 - i + 4. What is the third derivative of k(j) wrt j?\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 + (-2 - -1). Solve -2*n - 4*x = -3*x - 5, j*n + 2*x = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 84)*(-3)\/(27\/24). Round n to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*v + 2*t - 4 = -341*v, -7*t + 4*t + 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Let m = z - -38. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 167*w\/4.\nAnswer: w*(4*w - 167)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 5 = 21*m. Let u(h) = -20*h**2 + h + 1. Give u(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.2, 1817?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y - 50. Determine k(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 83 = 16*o. Suppose -4*t = -5*q + 30, 7*q - 28 = 3*q + o*t. Put -2\/5, 16, q in increasing order.\nAnswer: -2\/5, q, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2 + 23*z - 1. Let k be p(3). Suppose 24*q - 2080 = k*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c + 20 = 0. Let q = 15 + c. Suppose 0 = -q*d - 22 + 57. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrlrrrrrr. Give prob of sequence rrrr.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1234680 and 117911940.\nAnswer: 235823880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(22 + 23 - 35)*(3 - 2 - 2)*(-p - 3 + 3).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 88360468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5. Let m = i - -7. Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57876283753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17261790 and 24570?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.025 - -3.375. Let i = b + -3.33. Let n = -16 - -77\/5. What is the nearest to 1 in n, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 20*t + 12. Suppose -3*n = -4*r + 57, -3*n = -3*r + 77 - 20. Let a be b(n). What is the tens digit of 3\/(-18)*-3 - a\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, 1\/2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.072 - -0.272. What is the fourth smallest value in 0.3, a, -4\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 8*a**2 - 8*a - 2. Let p be n(7). Let c = -12 - p. Let b be ((-4)\/c)\/((-3)\/(-9)). Solve 12 = b*t + 4*x, -4*t + 1 = 2*x - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*t**2 + 1545*t + 6564.\nAnswer: -3*(t + 4)*(8*t - 547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 1\/20*v**5 - v**2 - 18*v + 1\/6*v**4 + 0 - 1\/3*v**3. Let f be w(2). Calculate the highest common factor of 70 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -220234164?\nAnswer: -220234156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(330) + sqrt(330)*2)*-5 + sqrt(330))\/sqrt(11))\/((4*sqrt(90) - sqrt(10)) + (sqrt(1440)*-2 - sqrt(1440))))**2.\nAnswer: -1176\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165 + -6a?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -5. Let i = k + 4. Suppose 0*v - 2*v + 15 = b, 0 = -i*v + 5*b + 30. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbldpbpippb. Give prob of picking 1 l, 1 d, and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*h + 3*r + 6 = 0, 5*h - 4*r - 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -99*q**2 + 279*q**2 - 103*q**2 - 93*q**2. Let r(w) be the first derivative of 7 + 0*w + 3\/2*w**2. Calculate u(r(l)).\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 211672877*v**2 + 21340759?\nAnswer: 423345754*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6*11\/198)\/((12\/6738741)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9.59 and -725 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/8556337 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f**2 - 1913 + 1913. Let h(c) = 3*c. Give h(q(g)).\nAnswer: -111*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8221, -8445, -8669?\nAnswer: -8893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 157846065, 157846056, 157846047, 157846038, 157846029, 157846020?\n\"Answer: -9*x + 157846074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 315.81 (b) -3\/2 (c) 0.3 (d) -0.0673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4575 and 2007?\nAnswer: 3060675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.3131 - 0.1231. Let c = k - 7.29. What is the nearest to -0.1 in -4, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(500) + 3 + -1 + sqrt(500) + (-1 + sqrt(500)*-3)*-5)**2*-6.\nAnswer: -300294 - 8400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3\/2, 3, -3, -1\/6.\nAnswer: -3, -1\/6, 2\/7, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3788 - -3857. Solve -2*l + 63 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 5)*(-29*y**3 - 3 + 20*y**3 + 1) as v*y**2 + a*y + c*y**3 + b and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1720 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -40 (c) 0.4 (d) -4\/3 (e) 0.1 (f) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 16, 5*g - 4*u - 2161 = 0. Suppose 45 = 12*j + g. Is j at most -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from rprrpr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5*i - 2. Let d be t(0). Put 0, d, -1, 5 in descending order.\nAnswer: 5, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156672786 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*m - 2 = 0, f + 111*m - 13 = 106*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence papp when four letters picked without replacement from pappppppppppaapp.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let h be o(1). Let m be (1 - 0\/4)*h. Let s be (-40)\/(-48)*m\/(-5). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - 5*w**4 + w**4 + (2*w**3 - w**2 + w**2)*(-3*w + 7*w - 2*w) + 53*w**2 - 53*w**2 - 7*w**4.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280241953, -560483905, -840725857, -1120967809?\nAnswer: -1401209761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 13 - (1 - 4 - -28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 1006, 1007, 1008, 1009, 1010?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382250.5 nanometers to meters.\nAnswer: 0.0003822505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11544465 - -23?\nAnswer: -11544442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26576 or 29167?\nAnswer: 29167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 106 = 2*l, 242*t - 238*t + 88 = 4*l for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*4*sqrt(77))\/((sqrt(1584) - sqrt(1584)*4)*3).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052146027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -711 + 723. Suppose 21 = 2*g + 2*g + 3*l, -4*l = -3*g - 3. Solve 2*a - s = 0, -2*a - 8*s = -g*s + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -28\/433?\nAnswer: -28\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {x: 3, a: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -46*o - 317. Let b be r(-8). Suppose -64*q + 25051 = -b*q. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.02 (b) 2 (c) 91.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3727*j = 3730*j - 47586. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5164\/507 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 12*h - 14*h. Let k be ((-1)\/3)\/(9\/(-216)). Suppose -4*f + 16 = 3*x - 0*x, 2*f - x - k = 0. Solve f*l + 3*r = 6*r + 25, 3*r = h*l - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 238 + 334 = 246 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f - 62 + f**2 + 44 + 33. Is u(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 82*d + 201. Give m(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:35 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*360\/(-16))\/(6\/(-8)). Calculate the greatest common factor of m and 200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 8. Suppose -2*c - 7*k = -6*k - 6, 3*c - 6 = -3*k. Suppose -g - c*g + 22*g = 0. Give s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.708 + -2.708. Which is greater: t or 20\/9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77482 - 542372\/7. Let n = -9\/8 + -25\/56. Which is the nearest to 2\/7? (a) l (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/3 + 86*z**3 - 1763*z**2\/3 + 502*z = 0.\nAnswer: 0, 1, 6, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -7*o**6\/225 + 11*o**5\/50 + 13*o**4\/5 + 316*o**3\/45 + 24*o**2\/5 - 2*o - 33. Suppose g(i) = 0. Calculate i.\nAnswer: -2, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from dpdpmjjvdpdddjpkdmvj.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s = -21*s - 31*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7565\/3657 + -47\/23. Let i = m + -338\/795. Which is bigger: -87 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x + 6020219 - 820052 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 809640 = 76*z. List the prime factors of z.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:18 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 470621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*u**3 - 106*b**2 + 18*u**3 + 7*u**2 wrt b.\nAnswer: -6*b**2*u**3 - 212*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -298796.6784 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -20. Suppose y*r = -2 + 22. Suppose -r*t - k - 1 = 0, -1 = -3*t - 3*k - 13. What is the lowest common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11929752250197 and -18.\nAnswer: -11929752250215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.1823743 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 - p**2. Let b be a(1). Let v = 1090 - -688. Suppose -m + b*m = v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1844215949 to the nearest integer?\nAnswer: 42944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00153442537 to 6 dps.\nAnswer: 0.001534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-3000)*30*(1\/3)\/((-2)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 5*h - 3*h + (1 - 4 + 5)*(h + 1 - 1) + 2*h + 3*h - 3*h + 2*h - 338 - h - 1893.\nAnswer: 7*h - 2231","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o + 17. Let h be f(-3). Suppose -5*z = -7*z + h. Suppose 28 = -z*y + 30*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -7*o + 33 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.04, 1\/8, 1.7456853, 1.\nAnswer: -0.04, 0.1, 1\/8, 1, 1.7456853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17156, -71062, -160906, -286688?\n\"Answer: -17969*x**2 + x + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*x + 485 = -1057 - 246. Let m be (-8)\/(-3) + (-4)\/6. Suppose m*u = 3*j - j + 2, -2*j = -10. Calculate the smallest common multiple of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9103094 grams?\nAnswer: 910.3094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3030621 days?\nAnswer: 26184565440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*f - 2*m - 12, 4*f + m = -11. Let h be 9\/3 + f\/((-12)\/8). Solve 0 = -h*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5 + 1. Suppose -v*u - 2*u + 22 = 3*y, -3*u - 3 = -y. What is the lowest common multiple of y and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (14\/6)\/(-12*12\/(-2592)) and 301?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/10 - b**4\/4 - b**3\/3 + 3*b**2\/2 - 13*b + 8. Let f(c) = 5*c**3 - 9*c**2 - 5*c + 8. Calculate 3*f(l) - 8*y(l).\nAnswer: -l**3 - 3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19413 and 34542.\nAnswer: 15129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-882)\/1372)\/(12\/14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 100*s + 1010. Give b(-12).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 27. What is the third derivative of 57*v**4 + 5*v**2 - 43*v**4 + 15*v**n wrt v?\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 2 + 4*s + 5*s. Let q be b(3). Let k = -129 - -132. Solve -z - 3*o + 12 = 0, -k*o = -3*z + 2*o - q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 6*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 165*x**4 + 14*x + 44414 wrt x.\nAnswer: 660*x**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -857. List the prime factors of v.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -20.6. Let g = p - 20.1. Which is the third smallest value? (a) g (b) 1\/11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102172 is divided by 305.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18325 + -18322. Let v be (-7 + 3)*(-5)\/(-4). Put 70, v, -4, i in increasing order.\nAnswer: v, -4, i, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/30 + c**4\/6 - c**3\/3 - 3*c**2. Let z be 60\/14 + 4\/(-14). Suppose -v + 1 = -2*w - 6, z*w = -v - 5. Give m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:33 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose 66 = 5*p + 21. Let n be (4\/3)\/(3\/p). Solve n*b = 2*b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 71.098. Round r to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220220201 (base 3) to base 7.\nAnswer: -1442263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32329 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-108)*-21 + 4 + (-847)\/(-66).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 2*p**2 - 3*p**2 + (-3*p - 2*p + 6*p)*(-p + 3 - 3) - 798 - 74*p**2 + 13*p**2 + 820 as y*p**2 + x*p + m and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/((-3)\/(12\/2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-182)\/(-5) + (-22)\/55. What is the highest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*p - p. Let w(z) = z**3 - 4*z**2 - 4*z - 5. Let m be w(5). Suppose 5*j + 13 = p*v + 190, -5*v + 20 = m. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9726916 kilometers in meters?\nAnswer: 972.6916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f + 5*r = 0, 4*r + 16 = 0. Suppose 2*u - 4 = f. Suppose 0 = -2*s - 5*z + 164, -5*z + 308 = u*s - 0*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -10060?\nAnswer: 10058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (6 - -2)\/(-2). Let p = -73 - -291\/4. Is p less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*-1 + (sqrt(144) - sqrt(144)*-2)\/sqrt(4))*-4)\/(-2*sqrt(3888)*-4).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 + -210.4. Sort -3\/2, q, 0.5, 2\/7.\nAnswer: -3\/2, q, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.324 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1062 and 18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -810\/109 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -4\/3 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4969 (base 14) to base 8\nAnswer: 31041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 975703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13238 + -2811. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*c - 30*c + 22*c)*(c + c + 0*c)*(0 - 1 + 3)*(-6 + 2 + 3) as g*c + a + j*c**2 and give j.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05941 greater than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -5 + ((16 - 14) + -9 - -20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:41 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 22. List the prime factors of -8*((-28)\/4 - j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -6. Let s = -0.5 + g. Let w = -4148 + 4146. Which is the smallest value? (a) w (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40122 - 40130 - i**4 + 3*i**4 - 14*i**3 as d*i**2 + a*i**4 + s*i**3 + o*i + b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 125262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*z**4 + 261*z**3 - 2*z**2 + 120980*z - 5 wrt z.\nAnswer: 1536*z**2 + 1566*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -6) + -1 + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 320, 691, 1206?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(180)*-2 + sqrt(180) + (sqrt(180) - (-2 + sqrt(180)))*-4.\nAnswer: -6*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuz when three letters picked without replacement from icyuz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 214684445 - -52102\nAnswer: 214736547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - -0.4. Let g = 9 + -11. Let n be 81\/(-90) - (-2)\/5. What is the nearest to n in g, j, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.67 and -583.\nAnswer: 390.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-20)\/(-12))\/((-4)\/144). Let k = l + 526. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 50\/(5250\/45)*-28?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -111. Let x = 14 + 12. Let k = -22 + x. Sort l, k, -1\/2.\nAnswer: l, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 184\/17 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 + 14*r**2 - 23*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 25*r**2 + 17537*r - 225955. What is u(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111.6 - 1.\nAnswer: 110.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - 10100?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17660 and 1725382.\nAnswer: 17253820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/159 in 1, -3\/8, -1, -3, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f + 26 = 4*w, -5*f + 5 = -5*w. Suppose t = 2*t - 5. Suppose 2*q = -i + w, -q + t*i + 16 + 8 = 0. Solve 6 = q*l - 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zccccugcccuz. Give prob of sequence gz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.379 - -0.021. Which is the closest to n? (a) -1 (b) 1\/3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3270.397l to millilitres.\nAnswer: 3270397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.4 (c) 333 (d) 1\/6 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -602, -2387, -5366, -9545, -14930, -21527?\n\"Answer: -z**3 - 591*z**2 - 5*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11211804 by -2.\nAnswer: -5605902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 2. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1448.\nAnswer: -5\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 784 = -24*g - 44*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138224 and 318?\nAnswer: 414672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-15)*0 + -27. Let p = d - -31. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 26*r**2 + 50*r - 74\/3.\nAnswer: 2*(r - 37)*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 2*r = 8, -5*a + 96*r - 194*r = -93*r + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 49 + 76 = 86 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + 1\/(-4). Let r(l) be the second derivative of 1\/2*l**2 + 1\/6*l**3 - l + c. Calculate r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 151? (a) 1720 (b) -0.28 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1568.2.\nAnswer: 1567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**4 - 5643*q**2 - 284*q - 4119694?\nAnswer: -8*q**3 - 11286*q - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 10*f + 2*c - 14 = 0, 0 = -4*f + 3*c - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 82. Let d be f(-21). Solve d*h - 10 = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((3*sqrt(143)*-5 - sqrt(143) - sqrt(143)) + sqrt(143)*2*5)*-6)\/(1*-5*sqrt(1584)*1*-3))**2.\nAnswer: 637\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - y**2 - 2*y**2 - 1 to the form q*y**2 + c + o*y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 27 = -j + 2*k, 0 = 2*j - 4*k - 54. Let v = -7 + j. Calculate the remainder when 98 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - 6 - -4) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -2 + -12 + (1 - 5) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8177*u**4 - 25*u**2 + 370.\nAnswer: 196248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 3*y**2 - 183*y - 31. Let b be x(-15). Let o = -3 + 5. Solve 4*m - o = -b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*s + 92 = 14*s + 1873 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416092653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 + -386. Let m(v) be the second derivative of 7\/2*v**2 + 0 + 3*v - 1\/6*v**n. Let j(o) = -o + 3. Give -5*j(k) + 2*m(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + g = f + 11, g = -4*f + 9. Suppose f*x + x = 294. Calculate the highest common factor of x and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) 0.3 (c) -4 (d) 0.00503 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 715801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.797 + -19. What is o rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/30)\/(2\/10). What is d rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 433.263 + -0.263. Let l = -440 + g. Let z = 0 - 1. Which is the second biggest value? (a) 2\/11 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17128426, 17128424, 17128422, 17128420, 17128418?\n\"Answer: -2*b + 17128428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - (1 + 0). Let u be ((-1 - 0) + -1)\/(29 - 15). What is the closest to g in u, 0.3, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*b - 858 = -2*b, 4*j - b = 1155. Suppose 17*m + m - j = 0. Solve 2*f + m = 6*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 14, p: 5}. Give prob of sequence pqpp.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*-4*3\/12. Suppose 63 = b - i - i, -5*b + h*i + 283 = 0. What is the remainder when b is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2594 - 2684.22. Let s = i - 0.78. Let d = 90.846 + s. What is d rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.99042 decades to years.\nAnswer: 939.9042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -83, -144, -235, -362, -531, -748, -1019?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 199?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3 - 7 + 2*f + 2*f**2 + f**2 - 5*f. Let z be s(2). Factor -h**2 + h**4 - z*h - 6*h**3 + 6*h + 3*h - h**3.\nAnswer: h*(h - 7)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -12.8. Let v = x + 9. Let y = -0.4 + 0. Which is the third smallest value? (a) y (b) v (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*t + 9194 = -2006 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.498846 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -68. Let y be (-6)\/(-10) - (-11)\/(110\/f). Let l(x) = -2*x**3 - 2*x**2 + x. Give l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1100121220010?\nAnswer: -1100121212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11236\/19 - 318*i - 216\/19*i**2 - 2\/19*i**3.\nAnswer: -2*(i + 2)*(i + 53)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2. Let i(q) = 4*q**2 + 14. Determine j(i(h)).\nAnswer: -48*h**4 - 336*h**2 - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5.2. Let w = h + 0.8. Let l = -2 - -2.2. Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 96*s**2 - 3*s - 23. Let j(m) = 9*m. Give j(z(b)).\nAnswer: 864*b**2 - 27*b - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4327 is divided by 309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let f(o) = p + 5 - 2*o - 13 - 13. What is the tens digit of f(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 962 + 64. Let t = p - -56572\/63. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 15.2. Let o = n - -0.2. Which is the third smallest value? (a) -0.5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.0756 - -0.0056. Let n = u - -0.07. Let r = n + 29.9999966. What is r rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from rarrarooaak.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**3 + 3*i - 3. Let q(u) = -u + 1. Calculate f(r) + 3*q(r).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in 5, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-2)\/(-4)*2). Let j = 10 + c. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((8 + -4)\/8). Solve 4*n - 1 + 2 + 5*n**3 + n**4 - n**3 + 6*n**l = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-3*m**4 + 3*m**4 + m**4 + 5*m**4 - 7 + 7 + m**2 - m**2 + 2*m**4 + (-2*m**3 - m + m)*(-m - 3*m + 3*m)).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10963 - -10963.023. Which is the nearest to 0? (a) -0.6 (b) -3\/2 (c) w (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g + 9. Let i be u(0). Calculate the remainder when 69 is divided by 1 + 6 - (-108)\/i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.99 - -0.48. Let w = -0.55 - k. Let i = w + 0.04. Which is the biggest value? (a) 1\/4 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-13)*o))**25 assuming o is positive.\nAnswer: o**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2 - 3\/2*l**2 - 1\/4*l**4 + 0*l**3 + 0*l. What is the second derivative of q(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1023 + 480 + 87)*(5*l + 2*l - 5*l).\nAnswer: 3180*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -3628, -0.21, -0.3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5805 - 5780. Suppose -4*h - 4 = -5*h. Calculate the smallest common multiple of k and h.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32328019, 32328018, 32328017, 32328016, 32328015?\nAnswer: 32328014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.654888 rounded to one dp?\nAnswer: -134.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2 + 4, -3*o - 8 = 4*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24614 and 2?\nAnswer: 24614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3)\/((-168918)\/7188)?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1456 rounded to two decimal places?\nAnswer: -14.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j**2 + 6. Let c = -51 + 43. Let t(z) = 30 - 5*z**2 - 71 + 21 + 22. Let p(s) = c*t(s) + 3*y(s). Factor p(h).\nAnswer: -2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b + 9*b - 23*b - 4*b + 2*b + 0*b + (-4 - 2 + 4)*(b + 0 + 0) - 3 + 3 + b + (1 - b - 1)*(-5 + 2 + 5).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**2 - 7*o - 7. Let c be t(6). Suppose -3*w = 2*h - c, -w + 668 = 7*h - 2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170\/657 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 27. Suppose -5482151 = c*p + 60717849. What is p rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 3:28 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20981979 is divided by 6993979?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56924\/53 + -1074. Let t be (-60)\/(-48) - (3 - 45\/12). What is the third smallest value in 1\/5, g, t, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -3, 1, 47, 5 in descending order.\nAnswer: 47, 8, 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14302 and 366896357.\nAnswer: 7151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21011221 + -21011002112?\nAnswer: -20212220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 4*a + 3. Let l be w(-4). Suppose -l*k + 8*k + m = 32, 0 = -3*k - 4*m + 26. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-2 + 1 - (sqrt(2)*-4 + 0).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 2*y - 48. Let u be z(0). Let q be 86\/(-28)*-4 - u\/(-168). Let f(k) = 2*k + 60. Let o be f(0). What is the greatest common divisor of o and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659032?\nAnswer: 2, 11, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 2290.\nAnswer: -114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539898459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742280570.\nAnswer: 2, 5, 23, 71, 307, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6366 divided by 2?\nAnswer: -3183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36177?\nAnswer: 3, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 15*k + 1347. Determine h(-26).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (110\/14 - 8)*14\/4. Which is bigger: 138 or l?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -1 + v**3 + 0*v**4 + 0*v**2 + 1\/60*v**5 + 0*v. Let g(u) be the third derivative of m(u). Let l(n) = 4*n. Determine l(g(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 12*l + 13. Let d(o) = -o**3 + 9*o**2 + 14*o - 19. Let x be d(7). Let n = 167 - x. Calculate h(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, 406, -0.2, -1\/131, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1192 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w + 284*w**2 + 26*w**2 + 146*w - 63*w + 177*w**2 + w**3.\nAnswer: w**3 + 487*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d**3 - 9*d**2 + 6*d - 54. Is t(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15150486 by 19.\nAnswer: -797394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 30. Let w = -304\/5 - h. Which is the nearest to 0.1? (a) w (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -703 + 703.01905. What is w rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 0*w + 4 - 4.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 1 - 9*j - 5.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 448\/576 - (-4)\/18. Sort 17, z, -3 in ascending order.\nAnswer: -3, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70 and 131.1?\nAnswer: -9177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 10. Let l(f) = 3*f**2 + 11. Let s(r) = 5*l(r) - 6*o(r). Let u(q) = -q**2 - 38380407 + 38380407. What is u(s(w))?\nAnswer: -9*w**4 - 30*w**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 11*j**2 + 7*j - 22. Calculate the remainder when (13 - 2) + 2*1 is divided by d(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85.8 + -86. Which is the closest to -2\/3? (a) 6 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.5, -20, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/11 and 4 - 4 - ((-3955)\/(-550) + -6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 55*p = -814 - 1006 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -28, -5, -1, -0.6, -0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*x - 4*x - 2 = 0, 5*h = -4*x - 8. Suppose 3*m - 5*m - q + 52 = h, -2*q = 2*m - 52. Calculate the common denominator of (21\/6)\/(6\/m) and -109\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146\/215 + -12\/43. Let k = -159\/88 - -13\/8. What is the smallest value in 0.2, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*a + 54 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4326395, -1, 1 in descending order.\nAnswer: 1, -1, -5, -4326395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -137, -136, -135, -134, -133?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 < -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.1, 4, 10, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2315211948 and 272506?\nAnswer: 2315484454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4 - 54*j**3 - 1088*j**2 - 9690*j - 32175 = 0?\nAnswer: -15, -13, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 957922.6 kilograms?\nAnswer: 957922600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002094 to 7 dps.\nAnswer: -0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 375*m - 363*m. Solve -h + 4*a - 11 - 4 = 0, -5*h = m*a - 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:18 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4042238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -647406 or -647413?\nAnswer: -647413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69 less than -313.4415?\nAnswer: -312.7515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 1399*m**6\/6 + 364*m**3\/3 - 4965. Find the third derivative of b(x) wrt x.\nAnswer: 83940*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31499387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*k + 114, -303 = -5*k - 2*u - 18. Calculate the greatest common divisor of k and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/21, 0, -0.1, -10.91?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156966186?\nAnswer: 2, 3, 13, 154799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36478615067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178161*c**5 + c**3 - 3771*c**2 - 10*c + 1 wrt c.\nAnswer: 10689660*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 10*s - 36. Let 44*y**2 - 4*y**4 + 3 - 50*y**3 + s*y**3 - 513*y + 585*y - 3 = 0. What is y?\nAnswer: -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25797 + 7343 = 4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/11 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/13)))**(-3\/5)*((m**(-8)\/m*m)\/m*m)\/m*m*m\/(m\/(m*m**(-6))) assuming m is positive.\nAnswer: m**(-839\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1185\/92 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + -0.24. Let z = 0.87 + m. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -39. Is 20 a factor of ((-92)\/16)\/(j\/(-8)) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6883 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/47276 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 184, 407, 706, 1075, 1508, 1999, 2542?\n\"Answer: -r**3 + 47*r**2 + 7*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001946 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -71658672 + -41.8743?\nAnswer: -71658713.8743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 24. Let d be (7\/(-21))\/(2\/y). Find the first derivative of 4 - 1 + d*l**4 - 3*l**4 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - d - 1 - 2, -4*d = t + 9. Let j = -4 + -1. What is the nearest to -2\/7 in t, j, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*x + 64679 - 66667 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.3 (c) 0.01 (d) 1.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2224105434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from {d: 3, z: 3, i: 3, l: 4}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**3 - 20*m**2 - 6*m - 75. Is r(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2736) + -3 + sqrt(2736))*2)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-70)*-8 - (-126)\/49. Solve -5*m = -o*q - 10, m + 2*q + 25 = -3*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 u when four letters picked without replacement from jjjiujjunuwi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35555?\nAnswer: 5, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534439103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 6. Let c be y(5). Let a = 5 - c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - v + 2*v + (0*v + 0*v - 2*v)*(0 + 2 - 12) + 10 - 2*v - 10 + (0 - 1 + 2)*(-2*v - 2*v + 6*v) + v - 2*v - 2*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.7209 hours in seconds?\nAnswer: 1366995.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f**2*f**(-1\/8)*f**(-5\/6)*f)\/((f**(-3)\/f)\/((f\/(f**(-2)\/f))\/f*f)*f*f**(1\/9)*f**(-4)) assuming f is positive.\nAnswer: f**(1147\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -836*0.033\nAnswer: -27.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56312 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 10:51 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 7428*t - 14868 = 0. What is t?\nAnswer: -2478, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 26 + -47 - -17\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250782156 a multiple of 2628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 9264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 192\/(-80) + -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -15, 5, -3 in ascending order.\nAnswer: -15, -6, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/d**4))\/((d**(-2\/7)*d)\/d))**(-37\/4))**(-2\/27) assuming d is positive.\nAnswer: d**(1369\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 40*x**2. Let g(c) = -40*c**3 + 3*c + 2. Let y be g(-1). Let t(b) = 0*b + y + 2*b - 39. Calculate t(q(h)).\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*g + 30 = 4*b, b - 5*g - 18 = 0. Suppose -1283 + 1083 = 5*v - 2*s, 153 = -4*v + 3*s. Sort b, -4, 1, v in ascending order.\nAnswer: v, -4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -114. Put j, -12, 4 in decreasing order.\nAnswer: 4, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -850*t**3 - t**2 + 2*t + 1. What is the tens digit of g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 2, x: 4}. What is prob of sequence yy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1\/3, -1464 in increasing order.\nAnswer: -1464, -1\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192905051.\nAnswer: 101, 1909951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 0, -517\/3, -8\/17, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*p + 4*p. Let m = -15 - p. Let y = -15 + m. Solve d - y = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -7. Suppose -4*p + 12 = 5*j - k*p, 3*j = p + 10. Solve j*b = -4*i + 8, 2*b = i - 0*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013*2.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0736477 to 4 decimal places.\nAnswer: 0.0736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4530 and 6244605?\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 + 4*f - 7. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300212 (base 5) to base 10\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 39*j**2 - 41*j + 50. Determine u(40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-133)\/28. Suppose o*w + 6*c - 350 = c, -2*w - c = -142. Let d(z) = 11*z - 36. Calculate the remainder when w is divided by d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 14*s**2 - 25*s + 8. Let h be o(12). Sort -1, h, 3, 5 in ascending order.\nAnswer: h, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/4)\/((-6)\/(-120)). Let k = i + -3. Calculate the greatest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 - 2*q. Let l(h) = 10*h**2 + 5*h. Let c = 5 - 7. Let t(w) = c*l(w) - 5*p(w). Let v(z) = -2*z. Give t(v(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027294*-130.\nAnswer: 3.54822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*f + 1122*a**3 - 3*a**2 - 5*a*f - 2*a - 219*f with respect to f.\nAnswer: a**3 - 5*a - 219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 56*m + 4 - 25*m - 3 + 6 - 26*m. What is b(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2*s - 3 + (-s - s + 3*s)*(-2 + 4 + 0) + 1 - 1 + 2*s)*(3*s**4 - s**4 + 0*s**4).\nAnswer: 4*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 16827.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**4 - 14*x**3 + x**2 - 995*x.\nAnswer: -288*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -2\/25 (b) -2908 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -55833633 to the nearest ten thousand.\nAnswer: -55830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 2. Let u(m) = 0 + 2 - 3. Let f(h) = n(h) + 2*u(h). Let g(j) be the second derivative of -j**3\/3 - 4*j. What is g(f(v))?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/15)\/((-3)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/(-14)*2\/3. Let u be 1\/o*(-2 - -17). Let d(f) = 2*f**2 - 6*f - 1. Is d(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 2*p - 2. Let a be d(1). Solve 4*f = -a*i - 0*f - 8, -3*f = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647520 times 0.2?\nAnswer: 329504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(576)\/sqrt(8)))\/(2*sqrt(4800)).\nAnswer: sqrt(19)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4570*h**3*u**3 + 10*h**3 + 2*h*u**2 wrt u.\nAnswer: 27420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -167949291 and -1.\nAnswer: 167949291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/6 + 8*x**3 + 30*x**2. Differentiate y(v) with respect to v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 36. Suppose u = v*u - 28. Solve -3*w - 8 = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 9*v + 6. Let l(k) = 2*k**2 - 17*k + 12. Let i(m) = -3*l(m) + 5*y(m). Let p be i(4). Suppose p*o = o + 17. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.2, 7, 785, -3 in ascending order.\nAnswer: -4, -3, 1.2, 7, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7854239 decades to millennia.\nAnswer: 0.007854239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/17 or -4772932?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 - 2428*q**2\/3 + 133566*q.\nAnswer: 2*q*(q - 1017)*(q - 197)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 151*g**6\/6 + 4*g**3\/3 - 148. Find the third derivative of a(j) wrt j.\nAnswer: 9060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36700358, 36700390, 36700412, 36700418, 36700402, 36700358, 36700280?\n\"Answer: -a**3 + a**2 + 36*a + 36700322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -559 - -561. Suppose -4*h - h - 49 = -j, -c*h + 110 = 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: Solve -101 + 362 = 6*w + a + 44, -3*a = w - 39 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198077.9 days in nanoseconds?\nAnswer: 17113930560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 5, 3\/7, 3, -1116, -2\/17, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23785758 = 303*l + 7172571. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 77587?\nAnswer: -77592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/5 - 6*v**4\/5 + 26*v**3\/5 - 12*v**2\/5 - 5*v + 18\/5 = 0.\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2\/997, 120\/19 in decreasing order.\nAnswer: 120\/19, 0, -2\/997, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -27*c. Let v be d(-1). Let y(k) = k + 2. Let s be y(2). Suppose 0 = -2*z + s*z - 6. Calculate the highest common factor of z and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80891?\nAnswer: 23, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.51709647 rounded to 0 decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/5 + 4\/5. Suppose i*j + 16 = r, -17 = -r + 5*j - 2. Let v(o) = o**2 - 4*o + 7. Calculate the smallest common multiple of r and v(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 4297 - 1273. Suppose -157*g = -151*g - a. What is the lowest common multiple of g and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 808.2166 years?\nAnswer: 80.82166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -688400 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12747642?\nAnswer: 2, 3, 997, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368380 and 32274?\nAnswer: 36469620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 116?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-384)\/27 + 4\/18. Let o be (-86)\/k + (-4)\/28. Let q(m) = m**3 - 5*m**2 + 6*m + 1. Calculate the remainder when q(o) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) + (-60)\/(-1575)*7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2039\/169520 - 1\/2119. Let j = q - -1401\/80. What is the common denominator of j and 10\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u**(-1\/2)))\/u)**15\/(u*u*((u\/(u**1*u))\/u)\/u*u)**28)\/(((u*u\/u**(-7)*u)\/u)\/u**(-3))**(5\/2) assuming u is positive.\nAnswer: u**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-377)\/2 - 2)*3809\/(-117). Let s(w) = 777*w - 6. Let h be s(-8). Let p = k + h. Find the common denominator of p and -89\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**3 + f**2. Let u be p(1). Suppose -2*m + u*t + 75 = 5*t, -t = 4*m - 185. What is the greatest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8848 or 805123\/91?\nAnswer: 805123\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71588126 to the power of 1\/2, to the nearest integer?\nAnswer: 8461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:17 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403941538?\nAnswer: 2, 421, 1667389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 23*v**5\/20 + v**4\/3 + 259*v**3\/3 + 153*v. Find the second derivative of h(o) wrt o.\nAnswer: 138*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + 16 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76779993?\nAnswer: 3, 433, 59107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97323 is divided by 69.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/((i\/i**(-12)*i)\/i)*(i\/(i**3*i))**(-24\/11))**(16\/7) assuming i is positive.\nAnswer: i**(-8304\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/18 + 4\/18. Suppose -3*c + 4 = -i. Let n be c\/((-4)\/(16\/(-3))). Solve 5*w = 4 - 19, 5*w = -n*o - 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1025*f**3 - 16*f + 6 wrt f?\nAnswer: -6150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 4*q**2 + 2*q**2)*(-3*q + 0*q + 4*q - 3*q + q + q + (1 + 0 + 5)*(-3*q - 3*q + 8*q)).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 21. Sort y, -4, -3.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 - 286. What is the closest to 43 in 0, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4864.64 rounded to the nearest ten?\nAnswer: -4860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/6 - f**3\/3 - f**2. Suppose 0*k + k = 2. Let n be h(k). Solve -3*q = -12, q = 4*j + n*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + -7 + (-6)\/8. Sort l, -2\/5, -4, 0 in decreasing order.\nAnswer: l, 0, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -302.6 and 1.15.\nAnswer: -347.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 - y - 14. What is a(-8)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -839 + 1675. Let o be (-18)\/12*20\/(-6). Suppose -o*q + t = -v, q + 0*v = 5*v + 148. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xssxsstgttttt. Give prob of picking 1 s, 1 t, and 1 x.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -2.41668173\nAnswer: -1.208340865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 314334.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g + 1861*g - 1055*g.\nAnswer: 715*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304425625.\nAnswer: 5, 7, 149, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/13)*k)\/k**(2\/3)*(k**(-2\/5))**(-26) assuming k is positive.\nAnswer: k**(2078\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -8517943\nAnswer: 51107658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o - 3. Let u(n) = 7*n + 4. Calculate 4*u(j) + 5*v(j).\nAnswer: -12*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 divided by -13?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q + 7. Calculate i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -154110.\nAnswer: 30822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11566, 11569, 11574, 11581, 11590?\nAnswer: 11601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -34. Let g(q) = o*q**2 - 42*q + 20*q + 13*q. Let b(a) = 3*a**2 - 8*a. What is -7*b(m) + 6*g(m)?\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 - (-63 - ((-52 - -107) + -48))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(2 + (-1)\/2). Sort p, -3, 2.\nAnswer: -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqqqfpoopqp. What is prob of picking 2 q and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 12 - 15 - (-3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4412260887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369720 and 35866.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - v**2 + v + 22. Let d(c) = 3*c**3 - 4*c**2 + 32*c + 134. Give d(t) - 6*m(t).\nAnswer: -9*t**3 + 2*t**2 + 26*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsrrsrrws. What is prob of sequence sss?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:49 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 28*k - 33. What is r(6)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -639.7 + 615. Let z = -24 - w. Let u = z - 0.2. Which is the smallest value? (a) 2 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 75. Let v be (-7)\/28 + (-562)\/(-8). What is the greatest common factor of v and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 4*g - 183 - 1448 - 128 + 2*g**2 + 6*g**3 - 2*g to the form n + z*g**3 + l*g + s*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 555 - 555. Let f(r) be the third derivative of 8*r**2 + 0*r**4 + 0*r**3 + 1\/12*r**5 + 0 + g*r. Calculate f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20788 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(99\/18 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*f**4 + 0*f + 0 - 2\/11*f**3 + 0*f**2 + 1\/11*f**5.\nAnswer: f**3*(f - 2)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11767400 is divided by 239?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421282706.\nAnswer: 2, 13, 19, 852799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/390 and -173\/117390.\nAnswer: 117390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -588 + 688. Suppose -s*d + 48 = -94*d. Solve d = 6*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, m: 2, t: 3, s: 7, h: 1}. Give prob of picking 1 h and 1 s.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (586*a - 1 - 5*a**2 - 586*a)*(-1 - 4 + 3 + (-5 + 3 + 0)*(-1 + 4 - 2) + 3 - 3 + 1 - 1 - 4 + 4 + 4 + 1 - 3 - 1 - 1 + 3 + (0 + 1 - 3)*(2 + 2 - 2)).\nAnswer: 25*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154.2 + 154.4057. Let k = 400.0057 - r. Round k to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -371*u**4 - 2481*u**4 + 511*u + 888*u + 40203 - 40203 wrt u.\nAnswer: -34224*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 0.01, -259\/3, -0.01, 0, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -9 - (16 + -28)) + 1 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -707b1 (base 14) in base 5?\nAnswer: -32123224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 2*h**5\/15 - 4*h**4 - 34*h**3\/3 - 26*h**2\/3 + 1666. Factor u(g).\nAnswer: 2*g*(g - 26)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**2 - 857076*h - 428540 = 0. What is h?\nAnswer: -1\/2, 107135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(325) - sqrt(325)*-2) - sqrt(325) - (5 + (sqrt(52)\/sqrt(36) - sqrt(13))).\nAnswer: -6 + 32*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:39 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 16228\nAnswer: -1135.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 10675 and 10823 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 1602\/5 - 108*q + 2\/5*q**2 = 0. What is q?\nAnswer: 3, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -16*c + 10, 26*c + 21 = -2*j + 31*c + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 631327.234 to the nearest one thousand.\nAnswer: 631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1572 - -56.6028. What is l rounded to zero decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*-2*(-2)\/(-16). Let u be s*(-4)\/3 + 3. Let x be -1*((u - 16) + 2). Solve 2*o - x = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*t - t**3 + 0*t**3 + 2 - 37*t as x + c*t**2 + w*t + k*t**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.1 (b) 0.5 (c) 8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 2*p, -2*p = -5*p - 2*g + 12. Let c(r) = 17*r**p + 38 - 38. Let d(k) = 2*k**2. What is c(d(m))?\nAnswer: 68*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88300910 divided by 17660182.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 15. Calculate the smallest common multiple of g(-9) and 29.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17084, -17053, -17022, -16991, -16960, -16929?\n\"Answer: 31*h - 17115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 + -2.9. Which is the nearest to 0? (a) g (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 13*i - 8. Let p be h(-11). What is the common denominator of (-1 + (-2)\/(-8))\/(p\/505) and ((-1)\/(-3))\/((-22)\/(-84))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -124*g**3 + 3*g**2 - 3*g. Suppose -4*y - 24 = -2*h, 4 = 4*h + 2*y + y. Let v be j(h). Round v to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6)*(-1 + (-14)\/(-10)). Do d and 0.02 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 2, y: 2, u: 3}. Give prob of sequence kuyk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen tenths of a millimeter?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 72*g. Let n(m) = 41*m + 25. Give n(r(v)).\nAnswer: 2952*v + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-22))\/((-219)\/2409)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**7\/21 + a**3 + 2*a. What is the second derivative of o(p) wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*r. Let x be ((-1)\/(-2))\/(17\/68). Suppose -1 = -r*h + x*t + 5, 4*h + 13 = -t. Which is the second biggest value? (a) 0.1 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -83*c - 890. What is the remainder when u(-18) is divided by 310?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 - 6*t - 3. Let i be k(-5). Suppose -i*j - 40 = -100. What is the lowest common multiple of 10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(3612\/48))\/(96\/(-22344))?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 36870*d**2 - 295280*d.\nAnswer: 5*d*(d - 7382)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (43\/(-3))\/(9\/54). Let r = l + 91. Suppose 5*n - 45 = -s - 2*s, 0 = r*n - 15. Solve -2*m + u + s = 0, u + 16 = m + 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -57*a - 65. Is 13 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21578370 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 69 = -81. Suppose -c*m + 9*m + 1239 = 0. What is the remainder when 175 is divided by m?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w - 60 = -101*w. What is the tens digit of (645 + 1)\/(w - 28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7137568 kilometers to meters.\nAnswer: 713.7568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -68251*w - 1633. Is i(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67796 and 130607.\nAnswer: 8881276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3\/8 (c) 101 (d) 1.9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 44435351?\nAnswer: 44435352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7302619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:29 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f - 4*f**2 + 15*f)*(4 + 20 + 3)*(0*f - 10*f + f).\nAnswer: 972*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091329 rounded to 4 decimal places?\nAnswer: 0.0913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 6*k**2 - 4*k - 22. Let x be f(-6). What is the tens digit of 1\/((-13160)\/6584 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*f - 6, -2*c - 3*f - 30 = c. Let s be (2\/3)\/(4\/c)*-44. What is the highest common factor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 + 1488 = 443*o - 879 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 11, 2\/7, -10, -9, -0.87?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10)\/5 + (8379 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 20 = 151 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299*w**3 + 249*w**3 - 413*w**3 + w**3 + 0*w**3 + w**3 + (3*w + w - 3*w)*(-3*w**2 - w**2 + 3*w**2) to y*w**3 + i*w**2 + q + p*w and give y.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-4) - -3 - -1. Calculate the highest common divisor of 112 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s + 51. Suppose -5*n = -2*n - z - 41, 65 = 5*n - z. Is l(n) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*28\/(-48))\/((-30)\/((-1800)\/70))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + 35. What is the highest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 6, -2*t = 8*c - 3*c + 5. Suppose t*o - r = 7, o - 3*o = 4*r + 6. Let y be 2 - 1\/o - -4. Solve 5*b = -y*j - 5, -4*b - 3*j - 8 = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 689*a + 86817. Let p be g(-166). Let r(m) = -m**3 - 2*m**2 - 3*m - 1. Let i be r(-2). Let s = -5 + 8. Put s, i, p in descending order.\nAnswer: i, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-30))\/(135\/252*11 - 6).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -11. Let k(j) = -j**3 + 6*j**2 - 3 - 2*j**3 + 7 + 4*j**3. Give k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 40. Solve 5*m - n = 4*t, -2*m + 4*t = -3*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 267*z. Let o(t) = 15*t. Determine i(o(r)).\nAnswer: 4005*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 44781, -2\/5, -0.5, 3 in descending order.\nAnswer: 44781, 3, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68907*s*t**3 - 1582*s*t - 409*t wrt t?\nAnswer: -413442*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0489991 grams in micrograms?\nAnswer: 48999.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*j + 129. Let y = j + 152. Suppose 4*k - 5*g = y, -3*g - 46 = -5*k + 75. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2508, 2455, 2324, 2079, 1684, 1103, 300?\n\"Answer: -6*r**3 - 3*r**2 - 2*r + 2519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14442 + 123092 = 2650*d for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*c + 44*c + 11*c)*((2 - 2 + 1)*(15 - 10*c - 15) + 0*c + c + 2*c) as f*c**2 + l*c + a and give f.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00283 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*v - 3*v**3 + 2*v**3 - v**3 + 3*v**3 - v**4 in the form d + l*v**3 + f*v + n*v**4 + o*v**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgl when three letters picked without replacement from {a: 1, d: 5, g: 1, q: 1, y: 1, l: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*g**4 - 3509*g**3 - 6*g**2 - 756*g + 37?\nAnswer: 720*g - 21054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.4, 23 in descending order.\nAnswer: 23, 0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50831, -50507, -50185, -49865, -49547?\n\"Answer: -r**2 + 327*r - 51157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/5*-17*(-23)\/(-391))\/((-2)\/5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10101011111100?\nAnswer: -10101011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 165*r - 4065. Calculate l(-134).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 2*(sqrt(1800) + sqrt(50)))\/sqrt(10).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 96050 = -60*t + 290657. Calculate the greatest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19521 is divided by 630.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10.6. Which is the second smallest value? (a) g (b) 2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 2. Let p(t) = -54*t + 156. Let a(o) = -3*i(o) - p(o). Let m be a(7). Calculate the greatest common divisor of 316 and m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*b**3 - 3*a*b**2 + 2*a*b - a - 10348*b**3 - 3837*b + 3 wrt b?\nAnswer: -12*a*b - 6*a - 62088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 936 and 1404?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 12. Let v(o) = d*o - 8*o - 12*o. Let i(g) be the first derivative of 5*g**2\/2 + 53. Give v(i(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 54215035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 350 = 2*p. Suppose 1685 + p = 5*j. Suppose 4*u = -144 + j. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 19, 0, 0.5, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*v - 1857, 5*v = -4*t - 1153 + 4293. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5 - 16562*v**4 + 291641*v**3 + 99054*v**2 = 0 for v.\nAnswer: -1\/3, 0, 18, 5503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2924.5\nAnswer: -14622.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r**2 + 18*r - 40. Let y be j(5). Solve 2*m - 12 = 5*p, 0 = -5*m - y + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 77, 67, 43, -1, -71?\n\"Answer: -v**3 + 2*v**2 - v + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77 (b) 0.564 (c) 2\/97 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 12) to base 16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*d + 2*k = 205*d + 3*k - 2*k - 2, 2*k + 28 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3863 + 2277 + 2049)*(-14*c**4 + 5*c**4 - 6*c**4).\nAnswer: -6945*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/7)\/(b\/(b**(8\/7)\/b*b*b))*(b**(1\/8))**(-1\/2) assuming b is positive.\nAnswer: b**(57\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1827, -14254, -47967, -113610, -221827?\nAnswer: -383262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018943187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1495146 and 77\/2.\nAnswer: 1495146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (580\/(-348))\/((-10)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/170)\/((-26)\/2548)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 35. Suppose -n - 1 = -j. Suppose 4*h - n*h = -246. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142.02 - -145. Let m = -2.97999654 + k. Let y = 0 - m. Round y to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10143 - -224?\nAnswer: -4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 10 + 2. Let z = -4 + f. Let l = 0 - z. Solve l = 4*w - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**6\/30 + 643*i**5\/15 - 825611*i**4\/54 - 183898*i**3\/9 - 20449*i**2\/2 - 1122*i. Suppose w(r) = 0. Calculate r.\nAnswer: -1\/3, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 213, 35 in descending order.\nAnswer: 213, 35, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 48*l - 1328. Let i be w(28). Solve 16*g - 32 = -i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/(16\/(-4))*66*52\/(-312).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7933*h**2 + 131*h + 282. What are the prime factors of v(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304.585520633 - -1.\nAnswer: -303.585520633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001658 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345189?\nAnswer: 3, 13, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20245214144 - -3?\nAnswer: 20245214151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390524933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/169778 and 23\/970160.\nAnswer: 6791120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -3*1\/1. Suppose -d = o*d. Suppose d = m + 4*m. Solve m = 3*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1 - 34\/(-6))\/((-32)\/24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -151*j + 302. Let h be q(2). Let r(b) be the first derivative of -1\/3*b**3 - 9 + 0*b**2 + h*b. Let l(p) = 14*p. What is r(l(x))?\nAnswer: -196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose y - 53 = -w*p - 0*y, 2*y = -5*p + 51. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6108*f**3 - 1003*f**2 wrt f.\nAnswer: -36648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*c**2*p*t**2 - 3*c**2*p*t + 1212*c**2*t**4 - 2*c*p*t**4 wrt t.\nAnswer: 29088*c**2*t - 48*c*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -21. Let p = -82 - -266. Suppose n*a - p = 4*a. Calculate the remainder when a is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1658\/15 - 110. Is f != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -555780 by 59.\nAnswer: -9420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1 + (sqrt(176) - 6*sqrt(176)) - sqrt(176) - sqrt(176)) + 5)*-1*5 + -5)**2*-5.\nAnswer: -1086000 + 56000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -7, 28, 12, 314 in ascending order.\nAnswer: -7, 12, 16, 28, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*c - 21*c + 343 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74779735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225772, -451500, -677178, -902806, -1128384, -1353912?\nAnswer: -1579390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*u + 66. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*1050\/(-105).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31048 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 g when three letters picked without replacement from {f: 2, w: 1, n: 2, o: 1, g: 2, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*l - 7*l + 6*l)*(l**2 - l**2 - 2*l**4) + 27*l**2 - 6*l**5 - 27*l**2.\nAnswer: 56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:43 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410 divided by 2.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1 - -3) + -6. Let o be 10\/u*(-4)\/10. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2952 + 37*g - 50*g + 34*g.\nAnswer: 21*g - 2952","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861859 to the power of 1\/2, to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 52.76728 meters?\nAnswer: 5276.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 + 6 = 0. Let q be (-1 + 0)\/1 - t. Suppose q*a - 56 = -6*w + 2*w, -a = 0. What is the lowest common multiple of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*v - 13039 - 24446. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 + 3*i**2 + 62*i. Let w(t) = -2*t**2 - 11. Let c be (4\/2)\/(4\/14). Calculate c*m(a) + 4*w(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 87.33 and 739125?\nAnswer: 739037.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*k**2 - 51*k**2 + 69*k**2)*((0*k + 3*k - k)*(2 + 4 - 2) - 2*k - k + 2*k)*(-4*k + 0*k - 2*k).\nAnswer: 1302*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214*0.57.\nAnswer: -121.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91572 + 91924 = 7*q + 4*q for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t = 40579 - 41529 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 + 3 - 4 - 14*a**2 - 13*a - 5 + 6*a**3. Let d(r) = 45*r**2. What is the remainder when d(1) is divided by z(15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*b = -5*v - 4, -4*b = 5*v + 5. Let f be 3\/v - (5 - 10). Solve -2*m - f*m + 5*y + 15 = 0, 2*y = -2*m + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4852, 10869, 16886, 22903, 28920, 34937?\n\"Answer: 6017*j - 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3445 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/8)*n**(-8))**43*((n*n\/(n\/n**(2\/5)))**(-12))**(-17) assuming n is positive.\nAnswer: n**(-401\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*p*y**3 + 224*y**3 - 2*y**2 wrt p?\nAnswer: -126*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -4, 8, 1.24 in descending order.\nAnswer: 8, 1.24, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3555 (base 15) to base 9.\nAnswer: -16478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1217 = -0*j - j. Let l = j - -12139\/10. Find the common denominator of 149\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -1.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-7)\/(-147)*777?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 20*p - 4. Let q(c) = -21*c + 3. Let j(b) = 4*q(b) + 3*y(b). Let h(u) = -2*u**2. Give h(j(t)).\nAnswer: -1152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.320883 millilitres to litres.\nAnswer: 0.002320883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3089, -3058, -3013, -2960, -2905, -2854?\n\"Answer: -c**3 + 13*c**2 - c - 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213\/4 + 147\/196 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15773 divided by -4153\nAnswer: 15773\/4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4016346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 30. Let u(i) be the third derivative of 0*i + 0 + 15*i**2 - 2\/3*i**3 + 1\/24*i**4. Calculate u(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1042496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 + 8*l - 6. Let z be o(7). Let m be (-7)\/6 + (-2)\/6 + z. Let v = 31\/3 + -11. Which is the nearest to v? (a) m (b) -2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/10 - f**4\/12 - 2*f**3\/3 + 3*f**2\/2 - 5*f. Give x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1272 and 0.34?\nAnswer: 432.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*w**4\/11 + 1974*w**3\/11 + 21306*w**2\/11 + 10680*w\/11 - 4032\/11 = 0 for w.\nAnswer: -7, -4\/5, 1\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -322, -6, 6, 4, 5 in increasing order.\nAnswer: -322, -6, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 576852 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.67 + -2.6957. Let g = 0.0743 - s. Let i = -0.3 - -0.7. Which is the third biggest value? (a) 1\/6 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1442 and 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69d725 (base 15) in base 9?\nAnswer: 10457348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-4\/3)*h)*h)\/((h**(-1\/3)\/h)\/h*h) assuming h is positive.\nAnswer: h**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0.05 (c) 10\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -6*o**2 + 985. Let v(i) = -3*i**2 + i. Calculate v(j(c)).\nAnswer: -432*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 22*j**2 + 10*j**2 - 2*j**3 + 0*j**3 + 120 - 121 + 2*j as r*j**3 + n*j + b*j**2 + g + q*j**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91643, 182858, 274087, 365336, 456611, 547918, 639263, 730652?\n\"Answer: l**3 + l**2 + 91205*l + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(57) - 2*sqrt(57))*2)\/((-1*-1*sqrt(24))\/sqrt(8)) + -1.\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197*-0.121.\nAnswer: 23.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.4 (b) 0.05 (c) -185 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2985*c - 6192 = 3114*c for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/35)\/(-15 - 70\/(-4)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 368 + -391. Suppose 0 = x + 2*m - 56, -126 = -3*x + 4*m + 82. Let s = k + x. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o + 3*o = 168. Suppose -3*t - 58 = p, -p - 2*p - 84 = 4*t. Let i = o + t. What is the second biggest value in 0.5, 5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2036.76858 hours to weeks.\nAnswer: 12.1236225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 13*y**2 - 14*y - 18. Calculate o(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.6 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 865895 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (-25)\/9) - 774\/(-162)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1023 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - (-248)\/14. Let g = 28 - i. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -47176*k. Let w(o) = 45*o**2 + 3*o. Determine w(i(c)).\nAnswer: 100150873920*c**2 - 141528*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 times -0.002485\nAnswer: -0.0016401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13940 - -95941914.\nAnswer: 95927974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 897922 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 2. Let d be z(0). Let o be ((-98)\/4 - -2)*d. Let k be (8 + 2)*(-18)\/(-10). Calculate the highest common divisor of k and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10806599381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.5 - 4.5. Let v = f - 34. What is the third biggest value in 0, 0.03, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -827082 - 0.5.\nAnswer: -827082.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*j**3 + 64*j**2 wrt j.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836468 and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (970*o - 2000456 + 2000456)*(2*o - 7*o + 2 + 2*o) as k + v*o + i*o**2 and give v.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0115857061 to 6 decimal places.\nAnswer: 0.011586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.4, 5, -3\/4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/12 + 19*d**3\/6 + 37*d**2\/2 + 26*d - 2. Let s be y(-17). Solve s*r + 0 + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.8 + 61.8. Let b = -37 - -39.1. Do b and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmm. Give prob of sequence mmf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 5 (b) -1.8 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 399 = 2*i, 0 = 16*y - 15*y + 2*i - 125. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243909 divided by -1.\nAnswer: 243909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11978076620 rounded to the nearest one hundred thousand?\nAnswer: -11978100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3947*a**3*h - 7*a**3 - 378*a wrt h.\nAnswer: 3947*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stqjjjtjqjtqs. Give prob of sequence jt.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33605253 (base 7) in base 3?\nAnswer: -12111200002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**3\/6 - 21*b**2\/2 + 2*b + 152. Give d(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/329 or -1?\nAnswer: 8\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 128382480?\nAnswer: 256764960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025488019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -0*w - 5*w, 2*t + 15 = 41*w + 58 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 60*o**2 - o + 1. Is t(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -199, -320, -453?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -718*u + 4793 + 22165 + 16840 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76522, -153044, -229566, -306088, -382610, -459132?\nAnswer: -535654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5402.\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(20 + 7 + -24)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9514 and 1157090.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 435863?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 1. Suppose w - 3 = -0. Suppose -5*l - 25 = 2*p, w*l + 0*p + 24 = -3*p. Let g(x) = 3*x - 1. Suppose v + 2 = -0*v. Determine l*g(o) + v*y(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.69 - 101.69. Let z = f - -106. What is the third biggest value in -5, 4, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 43*v + 5. Let l(i) = -21*i**2 - 173*i - 22. Calculate 2*l(g) + 9*o(g).\nAnswer: 3*g**2 + 41*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**31)**24*(p**6\/p**1)\/(p\/(p*p**(-2\/9))*p**(-5)*p) assuming p is positive.\nAnswer: p**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/25)\/(1\/(-5)). Suppose -8 + 2 = i*s. Calculate the remainder when 1 is divided by (-1 + 2)*(-2 - s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 - 8*d - 16. Determine k(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -3, -1, 8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 26. Calculate the common denominator of ((-21)\/(-48))\/(3\/x) and (378\/(-20))\/3 + -2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*t**5 - 91*t**4 - 56*t**2 - 5*t wrt t?\nAnswer: -420*t**2 - 2184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*539\/231\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 11:22 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let v(s) = 39370*s**2. What is u(v(x))?\nAnswer: -39370*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6155*x**5 - 150*x**3 + 7434001*x wrt x.\nAnswer: -123100*x**3 - 900*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2310 and -47\/18.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h + 2*h - h + 3*h - 3*h + (-h - h + 3*h)*(4 - 3 - 3) + 2*h - 6 + 6)*((0 + 0 + 2*h)*(0*h - 3*h + h) + 7*h**2 - 18*h**2 - 9*h**2).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 - 11 - 3*c**2)*(-6*c + 3*c + 2*c)*(-4*c + c + 4*c)*((2 + 3 + 1)*(4 - 5 + 3) + 5 + 5 + 1).\nAnswer: 69*c**4 - 23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 - 34 - 4*u + 3 - 14. Let q be c(-13). Solve q*f + 4 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28655787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, -35\/338?\nAnswer: -35\/338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6952 and 52936873?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -0.8 (b) 1 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 18*g**2 + 22*g - 45. Let f be b(8). Let w = 5056\/1515 - 2\/505. Determine r, given that -f + 2*r**3 - w*r**2 - 1\/3*r**5 - 7*r + r**4 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -70, -106, -142, -178?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 33. Let x be j(-14). Suppose -4*h = -z + 527, -z + x*h = -3*z + 1119. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*10*(-3360)\/150\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**3 + q**2 - 1. Suppose -6*f + 8*f - 52 = 0. Let w be -3 - (f + -1 + -1). Let u be (4\/(-6))\/((-18)\/w). What is t(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3809*g**3 + 16486*g + 3 wrt g?\nAnswer: 22854*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -43\/2. Let h = -374 - -1123\/3. Let z be (-32)\/(-15) - (-20)\/(-15). What is the nearest to h in 1\/7, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1875 and 11175?\nAnswer: 279375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, u: 4, n: 3, v: 2, o: 1, r: 2}. What is prob of picking 2 l?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (4 + -4 - 5 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -23c9?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*x + 4*a, -2 = -0*a - 2*a. Let z be (-2 - x\/(-3)) + 0. Let y(i) = -i**3 + 8*i**2 + i - 6. What is the units digit of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -8*t + 16*t. Suppose -7 + t = 3*y. Solve y*d + 2*d - 2*w + 12 = 0, 3*w = -4*d + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 19 = 3*z. Is z*28\/4*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u*u\/((u\/(u*u\/u**6*u))\/u*u))\/(u*u**(-6)*u**(3\/5)))\/(u**(3\/5)\/u*u**(-1))**(-13) assuming u is positive.\nAnswer: u**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 h when three letters picked without replacement from hhsebhllbh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2012 is divided by 114.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2685139424?\nAnswer: 2, 11, 53, 163, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*v - 2*v + 1824 = 0, f = -v + 464. Is f a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/3579 + 171884\/82317. Find the common denominator of 41\/11 and c.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21432 + -334?\nAnswer: 21054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 1. Let y(h) = -11*h**3 + 5. Determine 4*b(c) + y(c).\nAnswer: -7*c**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3*x**2 + 4*x - 111. Calculate f(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**4 - u**3 - u - 1. Let c(m) = -17*m**5 - m**4 - m**3 + 34*m - 1. Let s(g) = c(g) - l(g). Find the second derivative of s(h) wrt h.\nAnswer: -340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/127 + -893\/254. Let s = -3 - r. Put s, -2, -4 in decreasing order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -15, 242, 675, 1284, 2069?\n\"Answer: 88*x**2 - 183*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 17*r + 142 - 284 + 143. Let c(u) = -u. What is s(c(o))?\nAnswer: -17*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(65)\/(sqrt(5) - sqrt(50)\/sqrt(90)) + 5 + -5 + 3 + sqrt(91)\/sqrt(28))*4)**2.\nAnswer: -4880 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*c*g**3*i**2 - c*g**3*i - 6*c*g**2*i - 8*c*g*i**3 + 5*g**3*i**3 - 10*g**2 wrt g?\nAnswer: 330*c*i**2 - 6*c*i + 30*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1773 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 183\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:40 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -70*t - 782. Let v be f(-21). Let h(n) = -297*n**3 - n - 1. Let q be h(-1). Let x = v - q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 35*b**2 + 73*b + 30. Calculate i(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*v = -7*p + 10, -2*v + 14 = 5*p. Factor 147\/2 + 21\/2*i + 3\/8*i**p.\nAnswer: 3*(i + 14)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yryurryruyyyyuuryry.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3776.3466 + 3776. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - -21.2. Let j = 24 - o. Let v = -0.6 + j. Which is bigger: 0.2 or v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 841, 1, 21, 1.1, -0.4, 0 in decreasing order.\nAnswer: 841, 21, 1.1, 1, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8609 - 8267. What is the lowest common multiple of u and 1881?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314386886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*s = 10, 282*m - 278*m + 3*s + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 - 2*b**2 + 10.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/4 - 119*y\/2 - 2061\/4 = 0.\nAnswer: -229, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -158. Let t(v) = 6*v**2 - 8*v - 4. Let b be t(6). Let o = b + f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8700221 years?\nAnswer: 10.4402652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -198\/23, 0.094, 0.4, 3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -46. Calculate the remainder when u is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1088 and 167\/7 + 122\/854?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5658, -11215, -16772, -22329, -27886, -33443?\n\"Answer: -5557*v - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(((2 + -1*sqrt(192))**2 + ((sqrt(192) - (sqrt(192) - (1 + sqrt(192))))*-4)**2)*2 - (0 + ((-2*sqrt(192) - sqrt(192)) + -3)**2 + -3)).\nAnswer: 1824*sqrt(3) + 29006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.52186 - 4.47814. Let o = 0.7 + -0.1. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16) + (-19)\/4. Let f be 4\/(-12)*3*t. Let y(h) = -6*h + 19. Let k be y(f). Is -10 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 + 16593*q**2\/4 + 3443595*q\/4 + 175446999\/4.\nAnswer: -3*(q - 5733)*(q + 101)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205.2 + 39.2. Let u = -173 - l. What is the nearest to 2\/7 in 2\/7, u, 0.3, -2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Suppose -3*b + 1677 - 645 = 0. Let h = -2404\/7 + b. Is k at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c5a (base 15) to base 3.\nAnswer: 22110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 15. Determine q(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (6 + 2) - 10 - 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*l + 14 = 0, -2*i + 2*l = -i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**2*g**(-3)*(g\/(g\/g**(3\/7)))\/g**4)\/((g**(-1\/3))**(-5)\/(g\/(g*g*g\/(g*g**(1\/3))))**10) assuming g is positive.\nAnswer: g**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645613920 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 + 2. Let h be v(2). Let u(r) = -3*r. What is u(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18) - sqrt(1694)\/sqrt(7).\nAnswer: -8*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 1)\/((-3)\/4). Suppose -3*x - 3*u + 30 = 0, -2 = l*x + u - 48. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -137 - 66 - 4*p - 35*p + 10*p - 78*p. Let z be w(-2). Let s = 4 + 4. Solve 2*r = 8*x - 4*x + s, x = 5*r - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 163b51?\nAnswer: -163b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 5*c + 4*c)*(7 - 9 + 4) + (-1 + 1 - 2)*(-2*c + 2 - 2) + 0*c + 4*c - 2*c + 4*c - 4*c - 2*c + 0*c - 4*c + 2*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:27 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 6 - 2*j**2 + j + 4*j. Let w be q(5). List the prime factors of 44\/6 + w\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, -0.02, -23599, 3, -3, 1?\nAnswer: -23599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 245, 375, 505, 635, 765?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*i**3 - 8\/7 + 2\/7*i**4 + 10\/7*i + 6\/7*i**2.\nAnswer: 2*(i - 4)*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/w*w)\/w)\/w**8*w\/(w**(2\/7)*w)*w*w*w*(w*w**(-1)*w*w*w)\/w assuming w is positive.\nAnswer: w**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 18614726.\nAnswer: 18614731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 32, 34, 36, 38?\n\"Answer: 2*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -3*q + 2, -14 = -2*q - z. Suppose 2*a = q*a - i - 1, 5*a + i = 15. What is the derivative of a - 4*c + 8 - 3 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 47, 108, 205, 344, 531, 772, 1073?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let j be 6\/4*(1 - -1). Suppose j*p = b*p. Let z(w) = -w - 4. Give z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44937 - -a17?\nAnswer: -43b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 + 175*j**4\/2 - 973*j**3\/2 + 499*j**2\/2 + 1947*j\/2 + 153 = 0 for j.\nAnswer: -34, -1, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74803*m**2*u**4 + 2*m**2*u + 4*m**2 + 17*m*u**4 - 73488*m*u**2 wrt u?\nAnswer: -1795272*m**2*u + 408*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 0\/(-1)*1)*8 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329213*m + 658420*m - 329208*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let l(y) be the first derivative of 20*y**2 - 13*y - 1370. What is g(l(i))?\nAnswer: 3200*i**2 - 2080*i + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9167, 9209, 9251, 9293, 9335?\nAnswer: 9377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -400, -268, -48, 260, 656, 1140?\n\"Answer: 44*h**2 - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**11\/d*(d**(-1\/5)\/d)\/d)\/((d*d*d*d\/(d\/(d*d\/((d**(1\/3)*d*d)\/d))))\/(d**(7\/2)\/d)) assuming d is positive.\nAnswer: d**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.82691133 rounded to 2 decimal places?\nAnswer: -19.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 122110201?\nAnswer: 122110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1441 and 11?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.02. Let j = z - 4.92. Let x = 0.07237 + 0.92763. Which is the closest to x? (a) j (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195551 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 4*h + 3*h + 0*h)*(-1276*h + 162*h - 102*h)*(-1 - 3 + 2).\nAnswer: 4864*h**3 - 2432*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*i - 450*i = -373 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17177682 + -2?\nAnswer: 17177680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 271*v + 3. Let y(o) = 3*o**2. Give y(t(b)).\nAnswer: 220323*b**2 + 4878*b + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 10 = 2*u. Suppose -4*n + 2*n = -u. Suppose q - 3*l - 1 = 0, -l + n = 5*q - 4. Solve -1 = -o + q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 191047 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -108, -273, -566, -1023, -1680, -2573?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 = z, -7*z + 12 = 2*h - 5*z. Suppose -o - w + 54 = -11, h*w = 5*o - 345. What is the smallest common multiple of 3 and o?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821785.7 centimeters in kilometers?\nAnswer: 8.217857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163.1 - 154. Let i = 9 - v. Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9. Differentiate 6*v**3 + 17*v**4 + 7 - 11*v**3 + 5*v**b wrt v.\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from cbcbcbeccbececbc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 4. Let o be b(5). Let l be 2 + -3 + (-2)\/o. Is (-33)\/(-11) + l + 55 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6 = 3*t, -5*m = t - 0*t + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/9 - 4\/(-18). Let a be (3\/6)\/(2\/8). Suppose -p = 2, o*m + a*p - 10 = 2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48795119 to the nearest integer?\nAnswer: 6985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a**(1\/3))**(1\/14) assuming a is positive.\nAnswer: a**(-1\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343470 and 136440?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1276.0414188 and -0.01?\nAnswer: 1276.0514188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2811 divide 103262845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*t = -91*t + 70 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26249 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 1 (c) 48 (d) 0 (e) -3 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000430050617 to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18.7*-2\nAnswer: 37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -134.\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -3, 2, -2545, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) 6954 (c) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 16 (b) -2\/27 (c) -1\/3 (d) 2 (e) -18\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/6337 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3 + 360*r**2 + 4*r - 360 = 0.\nAnswer: -1, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-20))\/(3\/(-24)). Let k = 561 - 553. Solve -v - 2*l = k, -4*v + 9*v + 4 = x*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 416*d**2 - 78 + 138 - 43 - 416*d**2 + 12*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/5)\/((-4)\/(-10)). Let h(m) = 2*m + 2*m + m - 3*m. Calculate h(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 0*t + 0*t + (3*t**2 - 2*t**2 - 2*t**2)*(-4 + 3 - 2) - t**2 + 0*t**2 + 3*t**2 + 3*t - 2*t**2 - 3*t to m*t + s*t**2 + l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f, -j + f = -0*f + 22. Let b = -17 - j. Let r(v) = -2*v - v + b*v. Let o(n) = -2*n**2. Calculate r(o(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-3 + 11) - (14 + 26)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 975574.6 tonnes?\nAnswer: 975574600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*p + 1 = n, -10 = -4*n + p. Let d(m) be the first derivative of -1\/4*m**4 - m**2 - 4\/3*m**n + 2*m + 1. Calculate d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4787*h + 1 - 4787*h + 116*h**4 - 3*h**3 - 2*h**4 + 4*h**3 + 22*h**4 + (2*h - 2*h - h**2)*(h**2 - 4*h**2 + 5*h**2).\nAnswer: 134*h**4 + h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(8)\/sqrt(4) - sqrt(2))**2 + (sqrt(2) + -3)**2*-2.\nAnswer: -23 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o + 1. Let s(q) = -3*q**3 - q**2 - 5*q - 4. Suppose 0 = 12*f + 6*f - 72. What is f*v(w) + s(w)?\nAnswer: w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 2*c**3\/3 - 5*c**2 + c. Let k be l(3). Suppose -y = -k*y + 13. Calculate the remainder when 38 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-10))\/(10\/(-8)*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10)*(-22)\/88?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 + 8*j**4 - 12*j**3.\nAnswer: 4*j**3*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*u = -2*i - 25, 5*i = 2*u + 25. Suppose 4*x = 8, -2*t + 38 = -i*x + x. What is the remainder when 37 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301323 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 8:13 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 20 = n, 3*n = o - 28 + 11. Suppose -3*r + 2*f - 5 + o = 0, -2*r = 4*f - 20. Solve 0*p = -r*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 164*a + 160*a - 310*a. Let w(b) = 6*b. Give u(w(f)).\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*-37\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4950752 and 0.1?\nAnswer: 0.04950752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvhyhpv. Give prob of picking 1 r and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*v**2 + 15*v**6 - 8*v**6 - 23*v**6 - 73*v**6 wrt v.\nAnswer: -10680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 = 1. Let k be ((1 - 0) + -5)*j. Let x be (2 + 1)\/(6\/8). Solve -k*f + x = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1791, 3509, 5399, 7449, 9647, 11981?\nAnswer: 14439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2707\/18161 or 0?\nAnswer: 2707\/18161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4999094 or -4999093?\nAnswer: -4999093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.3 (c) -5 (d) -282 (e) 106.031\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36841858 is divided by 1012?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 324855811 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 9*t - 1. Let d be w(11). Let u be (1\/(-6))\/(d\/28). Which is the smallest value? (a) -0.1 (b) u (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.68 to one dp.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -633 divided by -199895?\nAnswer: 633\/199895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276078 and 27?\nAnswer: 2484702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, -1\/30, -12\/13, 7.7, 5?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 114*m**3 - 2*m**2 + 55*m**3 + 4*m + 55*m**3 to r*m**2 + k*m + w + n*m**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 8112?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/739085 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-165 - 194 - 8*h + 342).\nAnswer: 16*h + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 2\/3 (c) -1\/36316 (d) -3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {f: 9, b: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -169110000 rounded to the nearest one million?\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 763087.1 weeks?\nAnswer: 461515078080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.60147 times -0.4\nAnswer: -0.240588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c7 + -382?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3566*c. Let n(y) = -32*y - 15*y - 2*y**2 - 29*y + 76*y. Determine n(w(h)).\nAnswer: -25432712*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*f = -1790, 4*f = -37*u + 42*u - 2192. Calculate the highest common divisor of u and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2. Let h(v) be the first derivative of v**4\/6 + 8*v + 8. Let z(a) be the first derivative of h(a). Determine z(u(j)).\nAnswer: 338*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*f**2 - 161*f**4 - 501*f**2 + f**5 + 9*f**5 + 172*f**4 wrt f.\nAnswer: 600*f**2 + 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73986.04kg to nanograms.\nAnswer: 73986040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhphhhhhhhhhh.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*w + 23. Suppose 0 = -3*k - 3, 0 = -u - u + 5*k + w. Let m(s) = -3*s - 33. Let q be m(0). Put u, q, 3 in decreasing order.\nAnswer: 3, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8410715*w**4 - 40414702*w**2 wrt w?\nAnswer: 201857160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*z - 8. Suppose 3*w + 4 = 5*t, -4*w + z*t = -3*w + 1. What is the tens digit of (-53)\/w + (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 108. Suppose -g*m = -29*m. Suppose 3*v + 119 - 116 = m. Let s(j) = -2*j. Determine s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3810592.99962 - 3810741. Let b = h + 148. Round b to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-158)\/(-7189))\/((-120)\/1040)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1563, -5, 4, 384 in decreasing order.\nAnswer: 384, 4, -3, -5, -1563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by 19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 392*j + 3530. Let y be z(-9). Solve -4*k = 4*c - 36, 0 = -y*c - 2 + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 50. Suppose -g = -2*g - i. Let j be (-30)\/g*1\/(-2). Which is the third smallest value? (a) j (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g - 75*g = 66. Suppose -81 = -16*w - g. Solve 4 = -r + w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9231669 weeks in hours?\nAnswer: 155.0920392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67120.\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2202 and 5473438.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**4 - 11*h**3*w + 94*h**2*w wrt h.\nAnswer: -96*h - 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(6\/5 - 2). Let t = -255 - -1541\/6. Let m = t + r. Which is the second smallest value? (a) 2 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 623 + -443. Is 48 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -503 - 11129\nAnswer: -11632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 - 1544*j - 5. Let a(y) = 4*y**2 - 773*y - 3. Give 5*a(x) - 3*s(x).\nAnswer: 2*x**2 + 767*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*m = 20, 2*n + 3*n - 58 = -m. Let k = n - 8. Let p(l) = 0*l**2 - 42*l + l**k + 2*l**2 + 42*l - 1. Determine p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 - 6*t - 5. Calculate r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321303 (base 4) in base 13?\nAnswer: 18b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/2, -3\/8, -5, 2\/7 in descending order.\nAnswer: 6, 2\/7, -3\/8, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230.05 - 230. Put u, -2\/3, 0.3, 5 in increasing order.\nAnswer: -2\/3, u, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 4*a + (4 + 1 - 3)*(4*a - 2*a - 4*a) + 6*a - 4*a + 0*a)*(1 + 3 - 5) + (0*a + 2*a - 4*a)*(2 - 2 - 1).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142230 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*o - 20 = 0, -k + 5*o + 15 + 10 = 0. Let h(q) = q**3 + q**2 - q - 26. Let r be h(k). What is the units digit of ((-3)\/(-6) + -1)*r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f + 3*f - 4*f. Let x(m) be the first derivative of -3*m**2\/2 - 7*m + 4530. Calculate k(x(w)).\nAnswer: 3*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 8. Suppose -o = -4*o + 4*n - 9604, z*n = 3*o + 9603. Round o to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000149555998 rounded to 7 dps?\nAnswer: 0.0001496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**3 - 75*s**3 + 360*s**3 + 267*s**3 - 19*s**3.\nAnswer: 594*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -1\/6, 2, 0.1, 3\/5 in ascending order.\nAnswer: -77, -1\/6, 0.1, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32064 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13073 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267.27 + 267.48121. Round w to 3 dps.\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yppypyppyp. Give prob of picking 2 y and 2 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10996 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224.2 times -28?\nAnswer: 62277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 4*c - 4*c)*(-1 - 3 + 6)*(8 + 5 + 0) to t*c + j and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.16 - 0.16. Let i = g - 0. Which is the closest to 2\/7? (a) i (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(10) + sqrt(40)))\/(sqrt(9) + sqrt(9)*2*-6))**2.\nAnswer: 1\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2661 + -258?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 232*r + 718. Let t be d(-119). What is the highest common divisor of 139 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, 23, 0?\n\"Answer: -23*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 1 + 5)*((1 - 3 + 1)*(w + 2*w - 4*w) - w - 3*w + w + 0*w + 2*w + w + 2*w - w + 2*w).\nAnswer: 148*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 19. Let a be p(-8). Suppose -23 = -3*r - a. What is the lowest common multiple of 21 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -3.\nAnswer: -322\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*d**2\/3 - 8*d\/3 + 8 = 0. Calculate d.\nAnswer: -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -135\/16, 4, 1?\nAnswer: -135\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i - 2037 + 2037.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + 3*(sqrt(126) - sqrt(126)*-1) + sqrt(126))\/sqrt(2) + 2 - (sqrt(693) + sqrt(693)*-2*-6 + sqrt(693))\/sqrt(11)*-3)**2.\nAnswer: 600*sqrt(7) + 157504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.35. Let z = 28.291 - 27.7. Let w = q + z. What is w rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 304, 612, 924, 1240?\n\"Answer: 2*h**2 + 302*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, b: 3, p: 6, w: 1, h: 1}. Give prob of picking 1 p, 1 b, and 2 j.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210968*i**3 - 1140316*i**3 + i - i.\nAnswer: -1351284*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -449 - 61. Let j be 2\/(-8) + u\/(-24). Suppose 0 = -y + j + 10. Calculate the greatest common divisor of y and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9780 is divided by 128?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2263356309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 1000. Suppose 4*y = 2*y - m. What is y rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1099\/9 + -122. Let o(u) be the first derivative of 0*u + 2 + r*u**3 - 1\/6*u**2. Determine g, given that o(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.16 (b) -1\/8 (c) -2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose -5*s + s + 3908 = m. Suppose -4*p = 5*i - s, 2*p + i = -2*i + 487. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572470.1nm in micrometers?\nAnswer: 572.4701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47406.54591 + 47408.6. Round c to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 14 + 14 + (-6 + 1 - 2)*(-11*t**2 + 43*t - 43*t).\nAnswer: 79*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2536 and 83054.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-156)\/(-91) + -5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 + 19*i - 15. What is z(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*q + 3704 = -265*q - 5859 + 1213 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4 - 13*a**2 + 20\/3*a**4 + 20\/3*a - 9*a**3 = 0.\nAnswer: -1, -2\/5, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1841*(-4)\/(16\/6 - (-5 - -3)) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30324453857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:11 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-2 - -13) + -16 + -13 + (2 - -22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 1\/2 (c) 1 (d) -3 (e) -773\/173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -5\/3*m**3 + 5 + 0*m + 0*m**2 - 5\/4*m**4. What is the third derivative of q(s) wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -5*o**8\/14 + 19*o**4\/12 + 8*o + 16. Let b(q) be the first derivative of u(q). Find the third derivative of b(d) wrt d.\nAnswer: -2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 51117.\nAnswer: 51117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3356 (base 10) to base 11.\nAnswer: -2581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:57 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*5\/(-40)*-360. Let i = 655 + f. Suppose 3*n = 5 + i. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - 6\/4. Let q be (1\/(-1))\/(2\/(-2)). Suppose 4*k + 13 = q. Sort k, 1, c.\nAnswer: k, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8 - 2. Let m be 1 + (-1 - t\/4). Let v = m + -1\/4. Sort -3, v, -2\/19 in decreasing order.\nAnswer: v, -2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (46\/4*-1)\/(-6). Let r = -9\/4 + c. Let n be (-42)\/70 - 14\/(-40). What is the second smallest value in -3\/8, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 v when four letters picked without replacement from {v: 1, i: 2, r: 8, a: 5}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -5*o - 4*b - 3, -4*o = -3*b - 12. Solve -4\/5 + 1\/5*f**5 - 1\/5*f**2 - 8\/5*f + f**4 + 7\/5*f**o = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1641 = 20*h - 3279. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 3\/101, -3, -0.1, 34, 107?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f + 14. Let n be l(0). Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -331 bigger than -329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13175855?\nAnswer: 5, 7, 11, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 14*s**2 - 19*s + 64. Let v be w(-12). Solve -n + 25 = -4*b + 7, -5*b - v*n - 33 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-6 + 4)) + 1 - (-1 + (49 - 145))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x - 12. Let o(k) be the second derivative of -5*k**3\/6 + k**2 + 60*k. Let a be o(0). Let w(u) = 4*u + 3. Determine a*y(f) + 9*w(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 6. Let n be 9\/15 + 2\/5. Let l(i) = -1. Suppose -2*k = -2*x + 11 + 9, -2*k - 35 = -5*x. Let w(d) = n*v(d) + x*l(d). Give w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:37 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -198544 and -198516 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 9*s**5\/20 - s**4\/8 - 3*s**3\/2 + 17*s**2. Let j be k(-3). Calculate the greatest common factor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.3. Suppose -60099 + 60123 = 8*s. Suppose -k = 2*l + 7, 6*k + 7 = k - 3*l. Which is the nearest to k? (a) 9 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p + 18. Let o(r) = -5*r - 23. Let c be o(-5). Solve 2 = 3*w + c*s + p, 4*s = -2*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*c**2 + 183*c**2 - 249*c**2.\nAnswer: -515*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18681, -18589, -18471, -18321, -18133, -17901?\nAnswer: -17619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -577 + 579. Let d = 0 - -4. Factor -12*n**3 - 41*n - 2*n**j - 2*n**2 + 49*n + 4*n**d + 4*n**5.\nAnswer: 4*n*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-7 + (-7 - -13) + 1 - -27).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 396\/63 + (-102276)\/16632\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -25, -0.3, 31, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-16))\/(16\/96)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -55. Is -17 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + 137. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 2, q: 1}. What is prob of sequence puq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*n**4*r - 2*n**3*r**2 + n**2 - 2*r**2 + 6435 with respect to n.\nAnswer: 148*n**3*r - 6*n**2*r**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 328985.\nAnswer: 4\/328985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 17. Let u(s) = 3*s - 18. Let q be u(8). Let w be p(q). Suppose w*o = 3*x - 569 + 1590, -404 = -2*o - x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 40952643.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1051188671 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 825 - 808. What is the third smallest value in -2\/15, 2, i, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1190)\/98 + (-4)\/(-28) - -56. Suppose 12 = -5*f + 2*y, -1 = -y - 0. Let n(c) = c**2. Let d(r) = 18*r**2. What is b*n(i) + f*d(i)?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245 + -110. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -3*t, -p + 8 = 3*t - 0*p. Suppose 111 = -t*w + 3*y, w + 3*y - 4*y = -53. Does 14 divide (w\/28)\/((-8)\/196)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144264, -288533, -432802, -577071, -721340?\nAnswer: -865609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 56736 = 51*w - 26*w. List the prime factors of w.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-4))\/9*(-212)\/(-2014).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -61*x - 7\/4*x**4 - 36 - 2*x**3 + x**2. What is the second derivative of v(s) wrt s?\nAnswer: -42*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2123, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1089, -1088, -1087, -1086?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 1, j: 4, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 2*p**4 - 2*p**4 - p**4 + 1 - 1 + (p**4 + 0*p**4 - 5*p**4)*(3 - 3 - 4).\nAnswer: 17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 4:55 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/63198 and -49\/6.\nAnswer: 63198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 2*h + 13. Let o be i(-4). Find the third derivative of 5*f - 122*f**5 - 20*f**2 - o*f + 40*f**5 wrt f.\nAnswer: -4920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.052*-0.09\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10833 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 973 + 1268 - 8*c + 991 - 3519 - 7*c to m*c + a and give a.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.66666 and 2.\nAnswer: -16.66666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -17 + -14 + (-19 - (-6 - -4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -222 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 366324215 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = 0, w = -5*p + 9 + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2523 is divided by 256.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289.7 + -349.85. Let w = f + 59. Let a = w + 0.27. Round a to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssddssssdssss. What is prob of picking 1 s and 3 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -k + 5, -13 = -4*k + y + 10. Suppose 21*o = 25*o. Solve 4*z - k - 6 = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 36*w**2 + 26*w - 1443. Calculate o(-34).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*p - 10, 44*a + 2*p + 10 = 49*a. Let g(k) = 13381*k + k**3 - 13380*k + a*k**2 - 3 + 5*k**2. Give g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*n**2 + 265*n**2 + 150*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -0.5, -122, 0.3.\nAnswer: -122, -0.5, 1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/24 + 5\/3. Suppose y*l + 8*m - 5*m = 21, -39 = -4*l - 5*m. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - -6) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 + 510927*i**3\/2 + 1277309*i**2\/2 + 1021845*i\/2 + 255461\/2 = 0. What is i?\nAnswer: -255461, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 522 = 101*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 + 0*f**7 + 0*f**3 - 5\/4*f**4 + 0*f**2 - 16*f - 3\/14*f**8 + 0*f**5 + 0*f**6. Find the third derivative of d(b) wrt b.\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 17*y - 72. Let l be k(7). Let s(z) = -3*z**2 - 4*z - 2. Let v(j) = -12*j**2 - 16*j - 9. What is l*v(u) + 9*s(u)?\nAnswer: -3*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 127204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 11}. What is prob of picking 3 u and 1 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44 and 2550?\nAnswer: 2594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5194, 5151, 5088, 5011, 4926, 4839?\nAnswer: 4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -1\/12*j**5 - 16 - 5\/12*j**4 + 0*j**3 + 0*j - 9\/2*j**2. Let q(f) be the second derivative of c(f). Find w such that q(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, -15, -1\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*v - 7, -5*v = 3*a + 2*a - 5. Suppose 0*q - 2*x = -a*q + 159, -q - x + 48 = 0. Let r = -29 + q. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u*u*u**(-1))\/u)**(1\/43)*(u*((u\/(u\/u**1*u))\/u)\/u)**(4\/3))**42 assuming u is positive.\nAnswer: u**(-2324\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.409035nm?\nAnswer: 0.003409035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*n - 192 = 0, -n - 4 + 180 = x. Suppose -5*z + 10*z = -x. Let m = -20 - z. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -883.09142 to one decimal place.\nAnswer: -883.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54503447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 98*t - 194*t + 60 + 95*t. Let o(f) = -6*f + 14. Let i be o(6). Is a(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6\/19, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 743 - 761. What is the closest to -1\/4 in y, 4, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 20 = 2*x. Let h = -9 + x. Let s be h\/1*6\/3. Solve 4*y - s = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1491*n**5\/20 + 81*n**4\/4 + 3*n**2\/2 + 16*n + 7. What is the third derivative of d(k) wrt k?\nAnswer: 8946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1738270 - 329*k + 1738270 to v + i*k and give i.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-68)\/(-8)*1428\/2499.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -34 + 46. Suppose -h*a + 51 = a. What is the highest common factor of a and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-2 - (3 + sqrt(3) + 5)**2.\nAnswer: -67 - 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195262953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 2*s**3 + 0*s**2 + (0*s + 0*s + 2*s)*(3*s**2 + 2*s - 2*s) + s**3 - 2*s**2 - 18*s**2 + 4*s**2.\nAnswer: 9*s**3 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26742, -26717, -26682, -26637, -26582, -26517, -26442?\n\"Answer: 5*b**2 + 10*b - 26757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 276 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33778205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 50.21235 years?\nAnswer: 602.5482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 28*s + 162. Let t be q(-29). Suppose -10*n = -12*n + t. What are the prime factors of n?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908333886 to the power of 1\/3, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g - 7 - 1 = 0, -3*k = -4*g - 24. Let z(a) = -a**2 + a + 6. Let f be z(2). Let y = k - f. Solve 0*c = y*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/6 - x**4\/8 + 19*x**3\/3 - 28*x**2 + 2. Let m be d(14). Round m to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*c**3 - 122*c**3 - 88*c**3 + 299*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 + 9. Let s be d(4). Let o(a) = a**3 - 10*a**2 + 12*a - 5. Let u be o(s). What is the highest common divisor of u and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 + 26*t - 2. Let s = -3 + 14. Suppose 3*z - s = 4. What are the prime factors of g(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 261.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 + 84. Let u = 105.941 + f. What is u rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8509325 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = 2. Let z(x) = 0*x**q - x**2 - 2*x + 4*x. What is z(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyfyyppypppyy. What is prob of sequence yypf?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = -5*x, 0 = 2*r - 6*r - x - 18. Let b be (-2)\/(-14) + 5\/(-35). Suppose b = -5*g - 16 + 1. Is g at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-4\/3)*t**(-1\/10)*((t**(-2\/5)*t)\/t)\/(t*t**(1\/13)\/t) assuming t is positive.\nAnswer: t**(137\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -72. Let k = -29.8 + c. What is the closest to k in -3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 28 - 8 = 0. Let q(b) = -27*b - 5. Let l be q(j). Let v = l + 512. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -24. Suppose 15 + 96 = b*d. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -55*q - 2452. Calculate s(-45).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2736 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*f**3 + 708*f**3 - 110766 + 110766.\nAnswer: 1982*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1\/4*q**3 - 18*q**2 - 1\/48*q**4 - 1\/720*q**6 + 0 + 0*q - 1\/72*q**5. Factor o(k).\nAnswer: -(k - 1)*(k + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68 + 303*q - 149*q - 154*q - 2*q**2 - 52*q**5 wrt q?\nAnswer: -3120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)\/d**(-3))**43)**(-1\/12) assuming d is positive.\nAnswer: d**(-817\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229871045, -459742094, -689613143, -919484192, -1149355241, -1379226290?\nAnswer: -1609097339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b - 2 - 3*b - 2*b**2 + 4*b + b**2. Let k be n(-6). Suppose -2*t = -k*t + l + 52, 4*l + 40 = t. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c8ccc - -7?\nAnswer: 7c8cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57324386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2*f**4 - 5*d**2*f**3 + 24*d**2*f + d*f - d - 22*f**2 - 15*f wrt f?\nAnswer: 36*d**2*f**2 - 30*d**2*f - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(0 + -2). Let r be 2 - ((-3)\/5 - n). Which is greater: 0.08 or r?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -3 (c) 18 (d) -1166\/9 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94426?\nAnswer: 2, 31, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 15*x + 7. Let g(y) = -2*y**2 - 14*y + 8. Let z(k) = 6*g(k) - 5*l(k). Suppose -8*r + 9*r - 7 = 0. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - 17*a**5\/60 - 10*a**4\/3 - 32*a**3\/3 + 3*a**2 + 50. Factor f(w).\nAnswer: -(w + 1)*(w + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1378 - -1387. What is the remainder when 241 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.683 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 10*j**2 + 3*j - 12. Determine o(7).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599601 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 3. Let z be i(3). Let j be (6\/(-9))\/((-1)\/42). Suppose z = 2*o + 2*o - j. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -459, -702, -947, -1194, -1443?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3 + 27. Let n(z) = z**3 + 11*z**2 + 9*z - 2. What are the prime factors of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 10. Let k be w(-8). Let z be 2\/(-1 + -4 + k). Let l = 0.6 - 0.1. Which is the closest to z? (a) -2\/3 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044608591 minus -0.733?\nAnswer: -1044608590.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 72, -7720?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5007195 to the nearest integer?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -1.74, -0.015, 1, 19?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*g = 150, 4*q + g - 163 = 181. Suppose u - q - 14 = -m, 483 = 5*u + 2*m. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**4 - 44*t**3 - 92*t**2 + 4. Let o(g) = -8*g**4 - 88*g**3 - 189*g**2 + 9. Let d(w) = 4*o(w) - 9*s(w). Factor d(m).\nAnswer: 4*m**2*(m + 2)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489409646 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g**3 - 10*g**2 - 27*g**3 + 0*g + 2*g + 30*g**2 - 20*g**2.\nAnswer: 42*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:08 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 2. What is k(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*m + 247, -3*n + 199 = n + m. Suppose -i - 14 = -n. Suppose -3*v + i = -v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s - 339 = -100 + 441 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -1 + -3*sqrt(1573) - 2*-2*sqrt(637)*-5)**2.\nAnswer: 334*sqrt(13) + 362558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19025537439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1272012 - -285?\nAnswer: -1271616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 183709563 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2174*h**2 - 7953?\nAnswer: -4348*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2324\/(-49) - (-3)\/7. Let q = -34 - x. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*f = -57, 0 = c - 2*c - f + 14. Is 96\/7 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8346012, -8346024, -8346040, -8346060, -8346084?\n\"Answer: -2*f**2 - 6*f - 8346004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*g - 1778 = 115*g - 76*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -131, -200, -273, -350?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118893 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 47704 = 5*p - 247708, -5*d - 79980 = -2*p. Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/3 + 494*m**2\/3 + 30256*m\/3 - 30752\/3 = 0. Calculate m.\nAnswer: -124, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-11)\/(-21120)*-60)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m - 3*y + 12 = 0, -4*y = 3*m - 2. Calculate the common denominator of (-52)\/20*1\/m and (-1)\/(0 - 60\/57).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29448 divided by 3.\nAnswer: -9816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1584) + 0 + sqrt(1584) + -4) - (sqrt(44)\/sqrt(4) + -2 - (2*sqrt(11)*1 + sqrt(11)))*2) + 2.\nAnswer: -116*sqrt(11) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/12 + -1\/4. What is the nearest to c in -2\/7, 11\/2, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070128024 to the power of 1\/3, to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -2 + (-2 - -1). Suppose c*t + 3*t = 12. List the prime factors of (-156)\/(-9) + t\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1262*y - 6374. Give k(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 3. Let j be t(6). Suppose 4*q - 42 = j*q. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.4. Let p = i - 0.05. Let u = -0.5 + p. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-131 + 111 + (10 - -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11955337, 11955349, 11955369, 11955397, 11955433, 11955477, 11955529?\nAnswer: 11955589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028502253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3614888*o**3 - 903728*o**3 - 903716*o**3 - 903716*o**3 - 903718*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4802 and 24261770567.\nAnswer: 24261765765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 3*q + q**2 + 0*q**2 + (-2*q**2 + q**2 + 2*q**2)*(1 - 3 + 1) + (-2 + 6 + 0)*(-21 - 16*q**2 + 21).\nAnswer: -64*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70495772*y - 59941043 wrt y.\nAnswer: 70495772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 + h + 5. Let f = -22 + 22. Let t be 1 + 1 - (-2 - f). What are the prime factors of o(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 31*s**2 - 26*s**2 - s**2 + 42*s**2.\nAnswer: 46*s**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 40\/3*b + 0 + 152\/9*b**2 + 22\/9*b**3 = 0.\nAnswer: -6, -10\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 514*i - 34 = -518*i + 14, -3*o + 3*i = 33 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269 a factor of 695676755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51189 divided by 113\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssggfogsgsvvfgf. What is prob of picking 1 g and 1 f?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:51 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1146 - -1148. Let s(m) = 2*m**2 + 4*m + 3. Let p be s(-2). Sort -5, p, 12, n.\nAnswer: -5, n, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129362002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6 + 5 - 17 + 7. Let o(d) = 13*d - 4. Give o(p) + 5*u(p).\nAnswer: 13*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - -2432?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*h + 3235 = 52*h + 8899 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10508079774 + -10508079685.99999693. Let x = -88 + c. What is x rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2*(-5 + 4). Suppose 0*s + 3 = -s + 4*q, 2*s - p = 4*q. Suppose n + 7 - 29 = 2*l, s*n - 62 = -2*l. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 9:51 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.41912488 minus -604?\nAnswer: 912.41912488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 39329*u**2 + u - 7948*u**2 + u + 2935*u**2 + 10.\nAnswer: 34316*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)*g)**(-50)\/(g*g**0*g*g)**(2\/9))\/((g**(-1\/2)\/g)**50*g**(-2\/3)\/(g*g\/(g\/g**(-6)))) assuming g is positive.\nAnswer: g**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32912 + 35868 + 88398 = -1526*v for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -103. List the prime factors of (4\/(-3))\/(k*(-4)\/(-2742)).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16046405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 8*n - 4. Suppose 0*f + 2*f = 0. Suppose f = -r + n + 35. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 + -6 + -1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87074 divided by 5122.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exlxslllxrtxsxx. Give prob of sequence str.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 1631, 3582, 6277, 9710, 13875?\nAnswer: 18766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14928 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13931987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6860*p**3 - 3835*p**2?\nAnswer: -41160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2 - 38. Let i be ((-12)\/l)\/((-3)\/10). Is ((-2)\/i)\/((-2)\/(-28)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -8*r**4\/7 - 480*r**3\/7 + 502*r**2\/7 + 858*r\/7 + 244\/7 = 0.\nAnswer: -61, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 6. Let w be (-3 + (-21)\/(-6))*-26. Let y(p) be the third derivative of -p**5\/15 + 13*p**3\/6 - 2*p**2. What is w*s(d) - 6*y(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288 + 55 - 22393*o + 116 + 117.\nAnswer: -22393*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116\/7 + 443\/28. Let v = 228\/55 + -50\/11. Which is the nearest to v? (a) -0.5 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 4, z: 2, v: 2}. What is prob of sequence vkv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -1\/5, 593?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -18. Let l be 20\/j*(-14)\/(-5). Let a = -4 + l. Solve a*v + 7 = -t, -4*v - 5*t + 13 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 345, 0, -12, 263 in decreasing order.\nAnswer: 345, 263, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = -w, 0 = -2*h + 2*w + w + 19. Suppose -2 = 2*p + h*k, 5*p + 3*k - 3 + 6 = 0. Suppose -3*a + 18 + 18 = p. 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: What is the nearest to 12 in -7\/3, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 - 87. Let b = a + -66.2. Sort -0.1, 1\/4, -2\/15, b.\nAnswer: b, -2\/15, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*h - r + 5, -2*r + 5 = h. Solve -h*k + 0*k + 2*g = 27, k - 5*g + 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 - 0.4. Let w = -162842 - -1304853\/8. Let h = 265 - w. Which is the nearest to 7\/4? (a) -3\/4 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 29. Let v = 15912 - 15912. What is the nearest to 2\/3 in v, -1\/2, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/215)\/((-2)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 16 = -4*u, -2*u = 2*h - 2238. Suppose -5*y = -5, 8*o - 11*o = 5*y - h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090.55 less than 723?\nAnswer: -2367.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.36654078?\nAnswer: -0.46654078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249318 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzszsdsdzzzsssddss. What is prob of picking 1 d, 1 s, and 2 z?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10001110010010010010101?\nAnswer: 10001110010010010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920 a factor of 516831240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 10:52 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:15 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + (-8)\/(-12). Let x = 53 + -53.1. What is the nearest to x in n, 4, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.91124971\nAnswer: 3.91124971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4 + 0*g - 1\/3*g**3 + 1\/5*g**5 - 2*g**2 + 71. Determine z so that h(z) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2380667593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36799318 - 0.035\nAnswer: -36799318.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/60 - 3*k**2\/2 - 5*k. Let c(t) be the first derivative of d(t). Suppose -3*o + 3 = -0. Calculate c(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -5\/6, 0.4, 94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j**2 + 32*j**2 + 4*j**2)*(-5 + 2 + 4)*(0 + 4 - 2).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63510553?\nAnswer: 63510553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1 + -1)**2 + -3*(sqrt(19) + -1*sqrt(19))**2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 - 2 - 6*i**2 + 2*i - i**3 - 3 + 2*i. What is the tens digit of c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 4117, 10\/3, 4?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18118161.8 to the nearest 10000.\nAnswer: -18120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 550210 + -550208. Let -4 + 2\/7*n**d - 10\/7*n = 0. What is n?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 528044231 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169.03 + -169. Which is the nearest to 0? (a) 2 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15859 + 15861. What is the closest to 3\/4 in 1\/4, -5, u, 61?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.54 + -0.11. Let n = 0.03 - j. Which is the nearest to -1\/2? (a) 0.3 (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 12, 0, -5 in decreasing order.\nAnswer: 12, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*v + 122\/9*v**2 + 10\/9*v**4 + 28\/3*v**3 - 8 = 0. Calculate v.\nAnswer: -6, -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6 - -1)\/((-1)\/56*14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197813 is divided by 141?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481091909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 535676187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8136 divided by -944\nAnswer: -1017\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*2 + -3)**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 5*u + 18. Let l(n) be the second derivative of 3*n**5\/10 + 4*n**3\/3 - 27*n**2\/2 + 3730*n. Calculate 8*h(j) + 5*l(j).\nAnswer: -2*j**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28517429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -27310.\nAnswer: -27310, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -751, -1, -36, 0.\nAnswer: -751, -36, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -3, 2, 1.5, -2831?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 9*d + 23. Suppose -86*t + 891 = -5*t. Calculate v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32287621 is divided by 1374.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 606 + -1101. Let n = 515.3 + t. Round n to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 - 18*z**2 - 35*z\/2.\nAnswer: -z*(z + 1)*(z + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 210. Let m be t(-26). Let n(s) be the second derivative of s**5\/20 - s**4\/3 + 2*s**3\/3 - s**2 + s. Let l be n(3). Sort l, m, 0.\nAnswer: m, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849442080 a multiple of 1340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 50. Let x be (15\/p)\/(-5)*24\/(-15). Which is the closest to x? (a) 1 (b) -6\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from sbbsbbaabshb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14973451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 485954 and 12.\nAnswer: 2915724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Suppose 0 = -w*c - 39 - 3. Let i = -25 - c. Is 1\/2 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(171) + 1 + (0 + sqrt(171)*-3 - -4*(sqrt(171) + -1)))**2.\nAnswer: -180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67941, 67921, 67901, 67881?\n\"Answer: -20*y + 67961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 20\nAnswer: 109\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -434043 - 1?\nAnswer: -434044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/37898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -75. Let z be 10\/4*4\/(-65). Which is the nearest to d? (a) z (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 1:56 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22209 - -243662\/11. Let t = f + 58. Which is the second biggest value? (a) t (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/9 + -7)*(-15)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224122 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -50. Solve -2 = h - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1825 + -1001. Let s = 1574 - j. Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*-9*(-1)\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aanoaemenanm. What is prob of sequence mma?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 62. Which is greater: -12\/17 or x?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 + 5*g**2 + 13*g + 11. Let v be f(6). Suppose -3*l + l + v = -c, -5*c = 3*l - 2030. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 75974328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3698.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y - 1. Let t be o(-2). Let u = 4.05 - 0.05. Sort t, -0.03, u in increasing order.\nAnswer: -0.03, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 - -194.94. Let f = 0.06 + l. What is the closest to -0.2 in -0.2, f, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/21)\/((-9)\/(-63)). Suppose 5*c + r = 60, 5*c + 4 = 4*c + 3*r. Put -1, c, 0, y in increasing order.\nAnswer: -1, 0, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/142412484 and 35\/212.\nAnswer: 142412484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -159 + 11\/3*k**3 - 1\/2*k**4 + 11*k**5 + 0*k**2 + 0*k. What is the third derivative of q(d) wrt d?\nAnswer: 1320*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 17*x**2 - 11*x + 12. Let t be i(8). Let l = -13 - t. Do 3\/7 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1006? (a) 2 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1980888, -1980921, -1980952, -1980981, -1981008?\n\"Answer: d**2 - 36*d - 1980853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3\/8 - 706283*y**2\/8 - 1412569*y\/8 - 706285\/8 = 0?\nAnswer: -1, 706285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m + 5. Let a be h(4). Is a\/(-42) - (-41)\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/1*18\/45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3534, 3618, 3762, 3966?\n\"Answer: 30*w**2 - 6*w + 3510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -5*c**4\/12 - 5*c**3\/6 + 5*c**2 - 127*c - 2. Factor h(b).\nAnswer: -5*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 95 = 4*o. Let i be 4\/((-12)\/o) - 2. Suppose 2*h + 3 = 5, 2*g - i*h = -17. Let s(c) = c**3 + 5*c**2 - 6*c + 7. What is s(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 3*c + 90 = 8*c. Suppose -3*s + 9 = -0*s. Solve -12 = -c*j + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -31, -73, -133, -211, -307?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*c + 28, 16 = -0*c + 3*c + 2*k. Suppose -w - 5 = 0, -5*u + 79 = -2*w - 6. Solve c*h = h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*a - 4*a - 2*u, -5*u = -a + 10. Find the second derivative of -11*x**5 + 10*x**a - x - 3*x wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let n = 0 + 1. Suppose 26 = 5*v + n. Put z, v, -1 in increasing order.\nAnswer: -1, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -29\/645812 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9*40972\nAnswer: -368748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*a - 50, -5*a - 10 = -4*w - 122. Let b = w + 50. Calculate the remainder when 49 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 11. Suppose 2*x = -42 + 14. Let z be j(x). What is the second derivative of 5*s**4 - 11*s + 10*s**4 - z*s**4 - 3*s**4 wrt s?\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 607, 288, 17, -182, -285, -268, -107?\n\"Answer: 4*i**3 - 347*i + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 1 - 2*l - 26*l.\nAnswer: -26*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9455 is divided by 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 24*n**2 - 25*n + 28. Let c be v(-25). Let w = c - 26. Let h = -1 + 3. What is the greatest common factor of w and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, 1, -5, 1\/512, 4\/9?\nAnswer: 1\/512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Suppose -5*a + 4 = -3*t, 5*t - 4 = 4*a - a. Suppose -o - j = -t*o. Solve -3*p - o*m + 19 = -5, -2*m - 6 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*r - 5 = 0, 2637*r - 2632*r = 3*v + 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-144)\/(-384))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 263 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37350 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 127*c**2 - 2386*c - 98. Determine n(-22).\nAnswer: 1574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45 + 5*d**3 - 67 - 7*d + 7*d wrt d?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1344, -960, -562, -150?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/24 - c**3\/6 - c**2. Let p(o) = -o**3 + 5*o**2 - 7*o + 7. Let t be p(4). Let v(i) = i - 1. Determine t*h(n) + 4*v(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17311 + 17306.80384. Let h = w - -0.06316. What is h rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 15 = -2*r, -4*t + 65 = 3*r + 55 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from akkhwkkaaakakkka?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from kukekknekkkukk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**3 - 20*p**2 + 8*p + 2. Let d(t) = -16*t**3 + 39*t**2 - 15*t - 3. Let c(w) = 5*b(w) + 2*d(w). Factor c(y).\nAnswer: 2*(y - 2)*(y - 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*a - 49, 5*p - 65 = -a - 4*a. Solve -7 = 3*k + p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, g: 3, n: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (675 + 306*i - 675)*(-2 + 1 - 1).\nAnswer: -612*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/5 + 589846*q\/5 + 117969 = 0 for q.\nAnswer: -589845, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 2. Let i be b(0). Let a be (0 - (-2)\/2) + i. Suppose l = a*l. Solve l - 3 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297630882 rounded to the nearest one hundred thousand?\nAnswer: -297600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12711 - -13595. Calculate the greatest common divisor of 272 and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 0.148.\nAnswer: -0.01036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c - 1038 = -2354 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 32813422?\nAnswer: 295320798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -83. Let o(s) = 121*s**2 - s. Let r be o(n). Let b = r - 65. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6348)\/368)\/(15\/(-14860))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*l = -14, 0 = -4*m + l - 0*l + 21. What is the nearest to -1 in m, -1, -2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4934863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/9)\/(436\/(-60) + 7). Let a be (-2*(-15)\/10)\/(1\/3). Solve -a = j - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l - 8 - 55 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329 and 470?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 7 = 2*w. Sort w, 3, 0 in ascending order.\nAnswer: 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/3 (b) -9 (c) -0.03 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 12*v - 18. Let i = -119 + 140. What is the hundreds digit of z(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - 9) - -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5957*o = 5090*o - 17123 + 650 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 42 + 20)*(0*t + 3*t - 5*t) + (2*t - 6*t + t)*(2 + 5 - 2) to the form i + c*t and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1673260 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1735583.1 times 2\nAnswer: -3471166.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 52. Suppose z - 69*z = -5304. What is the remainder when z is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 729 = -75. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15*(-2)\/6 + 36883\/(-7504) and 65\/804?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**3 - 18627*g**2 + 18628*g**2 - 10*g**3 to the form o + v*g + a*g**3 + k*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 10*x + 40 = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4131*l**4 - 30*l - 5*l**2 + 5*l**2 + 4130*l**4 + 3 + 0*l**2 to z*l + k*l**3 + s*l**4 + h*l**2 + c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 55 = -4*t, -l = 2*t - t - 5. Suppose -5*u + u = 5*g - 58, -5*u + 60 = 5*g. Calculate the greatest common divisor of t and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9205, 36872, 82985, 147544, 230549, 332000?\n\"Answer: 9223*j**2 - 2*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204073 by 6.\nAnswer: 204073\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 31.4. Let o = d + -8.4. Put 2\/3, 0.2, -0.2, o in decreasing order.\nAnswer: o, 2\/3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -355.99568 + 356. Round b to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*u - 2*c, -1 = -71*u + 74*u + 2*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -5*p + k, -4*p = -0*k + 4*k + 120. Let q = 49 + p. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/80 + s**4\/32 - s**3\/4 - s**2 - 4*s. Let h(v) be the first derivative of b(v). Determine m so that h(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1\/6 (b) 15\/8 (c) -0.1 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-147)\/42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90785, -81728, -72671, -63614, -54557, -45500?\n\"Answer: 9057*w - 99842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -49*m**5\/4 - 301*m**4 - 2521*m**3 - 7640*m**2 - 3776*m - 512 = 0?\nAnswer: -8, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2534 is divided by 2336?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 6. Let o be 0\/((-3)\/6*2). Suppose o = -h - 0*h - 7. Is h at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.7444979 to three decimal places.\nAnswer: 14.744","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 13246 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -444, -439, -432, -423, -412, -399?\n\"Answer: y**2 + 2*y - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -46\/129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69328968 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let m be (8\/18)\/(10\/15). Which is the second biggest value? (a) m (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-2565))\/((-80)\/6300).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 - 8*f**2 + 97*f + 67. Let p(i) = -2*i**3 - 3*i**2 + 33*i + 23. Give 3*m(d) - 8*p(d).\nAnswer: d**3 + 27*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 330, 332, 334, 336, 338?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 139*l**4 - 15570*l**2 + 1655*l**3 + 2549*l - 8625 + 18026*l + 2255*l**3 - 146*l**4 = 0. Calculate l.\nAnswer: -69, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + 4 - 0 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 25 + 4 - 4 = -6*n - n + 2*n, k - 1312*n = -6582 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q - 1. Let h(p) be the second derivative of p**4\/2 + 5*p**3\/6 + p**2 - p. Suppose u - 5*u - 16 = 0. Let d = u + 3. Determine d*h(i) - 4*l(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/3))**22)**7\/((u**8*u*u)\/u**8)**6 assuming u is positive.\nAnswer: u**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*v - 7 = 0, -2*a = 2*a + 5*v - 23. Let c be (-2 - 6\/(-3))\/(-1). Suppose 6*u - 3*u - 15 = c. Sort u, a, 0 in descending order.\nAnswer: u, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4845341 is divided by 36159.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dndddnddnndn. Give prob of picking 3 d.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b + 3*a + 11, -5*b + 16 = 2*a. Solve 3 = -n - b*j - 11, -j + 2 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176601843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1732.8 and -5.\nAnswer: -8664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**3*z - 367*m**3 - 23*m**2*z**4 - 2*m*z wrt z?\nAnswer: 4*m**3 - 92*m**2*z**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90\/1919 + 2099\/3838. Factor -g*z**5 - z**2 - 2*z**3 + 5\/2*z + 2*z**4 - 1.\nAnswer: -(z - 2)*(z - 1)**3*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1284*c - 5666*c + 150*c - 12916*c - 202*c to the form s + v*c and give v.\nAnswer: -17350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 30 = 0, -5*t - 218 = -4*w - 101 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/((-33)\/(-18)))\/(-2). Suppose 79*w = 83*w - 16. What is the lowest common multiple of w and 36\/f*(-24)\/(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524418371 to the power of 1\/2, to the nearest integer?\nAnswer: 22900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49.07 or 87?\nAnswer: -49.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b2830 (base 14) to base 15.\nAnswer: 35eaea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 4, -28, -113 in ascending order.\nAnswer: -113, -28, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 + 4*d + 21. Let s be h(0). Suppose 3*j = -4*i - s + 174, -3*i + 3*j = -141. Does 42 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000257756 rounded to six dps?\nAnswer: -0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = -25*r + 6*r. Solve -3*b = -4*b + 2, -d - b - 2 = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + 2 + (2 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/3 - 5107444*n**2\/3 - 20429752*n\/3 - 20429744\/3 = 0.\nAnswer: -2553718, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b6179 (base 12) to base 7.\nAnswer: -11242203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3963, 7859, 11691, 15429, 19043, 22503, 25779, 28841?\n\"Answer: -5*f**3 - 2*f**2 + 3937*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.565985 to 3 decimal places.\nAnswer: -0.566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1699.12296s?\nAnswer: 0.019665775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-515 - -506) + (-2 - -40) + (9 - 8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -2\/5 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 18, -0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100404 less than or equal to 100403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 12*v - 6. Let k be (-1)\/(-5) + (-568)\/(-10). Let n = k + -41. Let o be y(n). What is o rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72545426*n**2 - 41964*n + 144.\nAnswer: 145090852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10.55 - -0.27\nAnswer: -10.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 390 = -5*g, -2*y - 12 = -2. Suppose -g + 63 = 6*i. Which is the fourth biggest value? (a) 0.3 (b) 0 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 (base 13) to base 8\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = x - 170, 37*x + 36*x - 134*x + 35*x = -27*x + 2 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.358887043087 + -0.2.\nAnswer: 3.158887043087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -76222923\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y**(-1))**(1\/8)\/((y*y**(-1\/2)\/y)\/(y**(-6)\/y)*(y\/((y\/(y\/y**1))\/y))\/(y\/(y**4\/y))) assuming y is positive.\nAnswer: y**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 - 5*y**2 - 71*y + 6. Let j(d) = -6*d**3 - 10*d**2 - 142*d + 15. Calculate -2*j(t) + 5*v(t).\nAnswer: -3*t**3 - 5*t**2 - 71*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((620\/(-65))\/31)\/((-5)\/260).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9246506 (base 11) to base 8.\nAnswer: -76235000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-129 + -11)*(((-44)\/8 - -7) + -3). Solve m*x = 202*x + 64 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-15)*(-1225)\/10. Let l = m + -68. Solve 10*f - l = 2*g + 5*f, -5 = -3*g - 5*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3)*2*-5*4 + (sqrt(81)\/(3*sqrt(9) + sqrt(9)))\/sqrt(3)*-4.\nAnswer: -41*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3913*v + 3*b = 3908*v - 4, -4*v - 6*b + 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6850 and -99\/14?\nAnswer: 47950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193499308 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 13\/(-5). Let q be ((-16)\/20)\/(2\/955). Let z = 5728\/15 + q. Put z, 0, r in ascending order.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 718 - 26 - 224*u**3 + 348 - 71 wrt u.\nAnswer: -672*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i + 30. Let x(w) = w. Let v(a) = c(a) - 30*x(a). Is v(-13) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -121\/5 in -5, 125, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 455157551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 34441334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*x - 26, -3*x + 7*x = 4*j - 24. List the prime factors of x\/(-6) - (-306)\/27.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7235 = 21*g + 2762. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z)\/z**(1\/23) assuming z is positive.\nAnswer: z**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 67, 54, 21, -38, -129, -258?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*h**5 - 93*h**3 + 93*h**3 + (11*h**4 - 10*h**4 - 20*h**4)*(h + 1 - 1).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928741065 divided by 5.\nAnswer: 185748213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32269681*w**3 + 9*w**2 + 43328?\nAnswer: 193618086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 80580 + 65034 = 99822. Is 44 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68266 or -73159?\nAnswer: -73159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438 divided by 4.\nAnswer: 219\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 200569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8645.\nAnswer: 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389128677?\nAnswer: 3, 7, 18529937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1422)\/(-1596) - 3\/6. Let x = 2\/19 - q. Is -40 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -36, -43, -50, -57, -64?\n\"Answer: -7*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 8*o = -l + 3*o + 5 + 11, 4*l + 34*o = 304 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 65, 4, -4, 36281, 3 in increasing order.\nAnswer: -4, 1, 2, 3, 4, 65, 36281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(4 + 1 - 4)*(-5 + 4 - 3)*(-r**3 + r**3 - 2*r**5).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5594, 11107, 16482, 21719, 26818, 31779?\nAnswer: 36602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-15 + 83 + -38).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 13*m - 9. Let b be p(8). Let d = b - 28. Suppose -2*x + 29 = i - 6*i, 5*i = d*x - 31. Solve 5*y - v = -10, -x*v + 5*v = 2*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 - 4*j. Let v be w(6). Let t = v - 12. Suppose t = 4*l - 1 + 9. Which is the nearest to 0.1? (a) l (b) 4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -57 - 609. Let f = 65 + l. Let k(u) = u**3 + 11*u**2 + 7*u + 5. Let q be k(f). What is the greatest common factor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 18 = 11*a. Let m = 682 + a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -95*c - 1341. Let p be i(-23). Solve -8*s = -820 + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 521768 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 12:44 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20106 and 119\/6702.\nAnswer: 20106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -157*r - 42*r + 574. What is the remainder when 813 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbapappbbbaaabpa. What is prob of sequence ba?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ohoohho.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60, -64, -384, -900?\n\"Answer: -98*u**2 + 170*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30765, -123173, -277227, -492927, -770273?\nAnswer: -1109265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7*c = -16387, -3*a + 15680 = -c + 3446. List the prime factors of a.\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, 99, -1, -15, -4 in decreasing order.\nAnswer: 99, 17, 1, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 100*i + 199\/2.\nAnswer: (i + 1)*(i + 199)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4004*y**4 - 4*y + 836 wrt y?\nAnswer: 48048*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9444.423 years to centuries.\nAnswer: 94.44423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111 (base 2) in base 3?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 227, 311, 409, 527, 671?\n\"Answer: y**3 + y**2 + 74*y + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -2 (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1295, 5068, 11343, 20108, 31351, 45060?\nAnswer: 61223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14932379 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36676*n**5 + 15*n**3 + 85*n - 2040 wrt n.\nAnswer: 733520*n**3 + 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.6 - -42.6. What is the fourth smallest value in 4, 38, 5, i?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 41*k + 52. Let a(q) = 27*q + 35. Let l(v) = -8*a(v) + 5*i(v). Let d be l(6). Let r = -83 - d. Solve r*p + 10 - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 10*q**2 - 10*q + 19. Let g be c(11). Find the second derivative of 12*b + 78*b + 4*b**5 + 4*b**3 + 8*b + g*b wrt b.\nAnswer: 80*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**4 - 13*x**3 + 13*x**3)*(-2*x - 1 + 2*x + 2*x).\nAnswer: -18*x**5 + 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 48 = 5*j, 2*j + 2*r + 199 = 235 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 8:07 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1783638?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 8:20 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -860 times 25178\nAnswer: -21653080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 16. Let k = -2\/49 - 37\/294. Which is the nearest to -1\/4? (a) j (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 51. Suppose y = 4*l - 56. What is the units digit of (l\/6)\/(2\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g + 13. Let h(m) = 36*m + 39. Let u(t) = -4*h(t) + 11*y(t). What is the tens digit of u(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -138838\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -19 + -32 + (14 - (-5 + 12))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8*x**5\/5 + 224188*x**4\/5 - 1681776*x**3\/5 + 2354732*x**2\/5 + 3587728*x\/5 - 1345488 = 0.\nAnswer: -28031, -3\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1244, 0.4 in decreasing order.\nAnswer: 1244, 9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 38*c - 5. Let b be r(5). Suppose -5*h + b = -0*a + 5*a, h + 31 = a. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*y = -114, -5*x + 5*y - 3 = -283. Suppose 3*v + 2*v = -5*z + 175, 0 = z - 4*v - x. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18*(-1 + 16\/33). Let d = c + 138\/11. Let h = -158\/55 + d. What is the third smallest value in -2, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/6 - (188\/20 + 2) and 91\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:50 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*r - 13 = -19, -12 = 4*j + 2*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153561\/22 - 6984. Let b = -1 - -2. Calculate the common denominator of (b - 2) + 162\/(-20) and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/25, 5.8, -1, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 53*g**2 + 1866*g + 457. Give d(-35).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30111*g**5*r - 4*g**4*r + 14*g**2*r - 3149*g*r wrt g?\nAnswer: 1806660*g**2*r - 96*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6*-18)*(-96)\/(-32).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1115 and 648788395?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5a0e7 (base 16) to base 14\nAnswer: -985dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*m - 4*k - 20, -5*k - 4 = -4*m. Let u be (-44)\/(-132) + 2*(-2)\/m. What is the closest to -0.06 in u, 1\/5, -4\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/15 + n**4\/6 + 22*n**2. What is the remainder when a(-3) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259958147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o**2 + 9*o**2 + 9*o**3 - o - 11*o**4 - 10*o**3 - o as p*o + t*o**4 + b*o**3 + f + g*o**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 824900299 and 1003?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (1 + -3)) + (-13369 - -13363)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - -102312110122?\nAnswer: 102312110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 13923648?\nAnswer: 13923648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 33 + 47)*((1 - 3 + 4)*(2*f**2 - 2*f**2 - 2*f**2) + 2*f**2 + 2*f + 2*f + 0*f) as z*f + s + g*f**2 and give z.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (10 - 1) - -1. Let f = u + 10. Suppose -6 = -f*l - 0*l, -4*w = 5*l - 11. Which is bigger: 2\/7 or w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66855 - -276068147.\nAnswer: 276135002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 370 = -179. Suppose -2*q = r - x, -q + 269 = 5*r - 0*q. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.33, -12, -85, -0.3 in decreasing order.\nAnswer: -0.3, -0.33, -12, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305421, 2610706, 3915991?\nAnswer: 5221276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 10*s**2 + s + 2*s**2 + (-s + 3*s - s)*(5*s - 2*s - 4*s).\nAnswer: -9*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*13560.\nAnswer: -5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340*-7.\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2, 0.17, -4, 0.4 in descending order.\nAnswer: 2, 0.4, 2\/11, 0.17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(12\/(-4)) + -1. Let n = 138\/5 - 1508\/55. What is the third smallest value in c, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 9. Let p(f) = -2*f + 4. Let w(y) = -4*l(y) - 7*p(y). Let v(n) = -n**2 - 16*n + 24. Let m be v(-17). Is 22 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (2*sqrt(2)*3 - 3*(-2 + sqrt(2))) + 6*(-3 + sqrt(128)))**2.\nAnswer: -714*sqrt(2) + 5249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15089, -15087, -15085, -15083, -15081?\nAnswer: -15079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*-1 - sqrt(33))\/(sqrt(108)*2 + sqrt(3)).\nAnswer: -7*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46\/9 - 616\/117. Let m be (62\/12)\/(20\/12). Let k = m - 18\/5. Put k, 0.2, w in increasing order.\nAnswer: k, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k**2 - 4*k + 5. Let i be n(-5). Suppose -5*b + 147 = o + 2*o, 4*o - b = 219. Let v = o - 52. Solve i*z = -v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 45. Suppose -4*q + 5 - 2 = 5*n, 0 = 5*q + t*n - 5. Find the third derivative of -7*i - 5*i + 12*i + 16*i**q + 5*i**6 wrt i.\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrpp when four letters picked without replacement from {p: 2, r: 4, v: 1, c: 7}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-267)\/21 + 4\/(-14). Calculate the smallest common multiple of 10 and (t + -1)*(-1)\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -580.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2546, -4, -0.17, 3, 34, 0 in ascending order.\nAnswer: -2546, -4, -0.17, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316106386 divided by -6?\nAnswer: -386017731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 w when three letters picked without replacement from {i: 1, a: 6, m: 1, j: 2, w: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j**(2\/7)\/j))))\/j)**(-35))**(-7\/8)*(j**(2\/9)\/j*(j\/j**(1\/4)*j)\/j)**7 assuming j is positive.\nAnswer: j**(1561\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99308 and 1452?\nAnswer: 3277164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 366050 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 5\/4*m**5 + 815\/2*m**4 + 33210*m**3 - 815\/2*m**2 - 132845\/4*m = 0.\nAnswer: -163, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. What is the common denominator of 2442\/605 - b\/10 and (-261)\/(-40) - 4\/10?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 49, 30 in ascending order.\nAnswer: 4, 30, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/4 - 85\/28. Suppose -3*x = 9*x. Which is the closest to 1\/2? (a) p (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 17*d = -11*k + 13*d + 19, 2*k = 4*d - 10 - 40 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22*o + 55. Let x(h) = 7*h + 18. Let w(v) = 2*k(v) - 7*x(v). Suppose -3 = 3*t + 15. Is w(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 26*g + 1540. Suppose -10*v + g = v. Suppose -21*i = -v - 364. Calculate the least common multiple of i and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000205 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -132?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**2 - 11*y + 3. Let a(c) = 9*c**2 - 12*c + 2. Let b(h) = 3*a(h) - 2*m(h). Find the second derivative of b(t) wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, z: 4, q: 3, a: 4, f: 2}. What is prob of sequence sa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261317 = -5601*m - 860624 for m.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 + o**4\/6 - o**3\/6 - o**2. Let n be k(-5). Let d = -593 - -590. Which is the closest to 0? (a) n (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18450309037510 and -0.1.\nAnswer: -18450309037510.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 7*h - h)*(2 + 0 - 4).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74591 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let m(z) = 2*z. Let g(l) = l + 6. Let c(d) = 2*d + 13. Let x(t) = -6*c(t) + 13*g(t). Let n(w) = -m(w) + 4*x(w). What is n(b(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**2 - 2*m + 2. Let o(j) = -j**2. Let y(z) = n(z) - 6*o(z). Let s = -8 + 12. Let g be s\/6 + (-8)\/3. Determine y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -59804 (b) -10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*i + 3. What is the remainder when 8 is divided by (i\/(-3))\/(-3 + (-20)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3.7612.\nAnswer: 1.50448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0864 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 8*c + 13. Let o be m(2). Let l be 4 - 2 - (3 + o) - -17. Let p = 91 - l. Does 54 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166 is divided by 268.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 8*m + 4. Let h be v(8). Let g(k) = -k**3 + 6*k**2 + 4*k + 23. Let o be g(7). Solve -u - 3*r = h, -3*u - o*r - 2*r = -3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-1))\/((-115)\/13 - -9). Suppose 90 = -34*s + y*s. Sort -2, -12, -4, s in decreasing order.\nAnswer: s, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*p - 3, -4*o + 2*p - 3*p + 14 = 0. Suppose -t = -o + 2. Is t\/(-3)*777\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30313023022 - 20?\nAnswer: -30313023102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 24 = 2*n. Suppose f = 4*k + n, -4*k + 3 = -5*f - 0*k. Put -8, f, -2 in decreasing order.\nAnswer: -2, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27891, 27790, 27689, 27588, 27487?\n\"Answer: -101*m + 27992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 5\/2 (b) -3\/7 (c) 10 (d) 5 (e) -10.4 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025377 equal to 1025377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n - 42*n - 1944 = 0. Calculate the greatest common divisor of 486 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 + 95. Let s = -71 - z. What is the highest common divisor of 46 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*k - 336*k**2 - 138*k + 334*k**2.\nAnswer: -2*k**2 - 215*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*g - 31, 3*k + 4 = g - 10. Let c be 18\/4 + (-24)\/16. Suppose 7*j = c + 4. Solve h = -d + g, 0 = 3*d - 8 - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*t + 29*t + 2. Solve -t*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76220981, -152441966, -228662951, -304883936, -381104921, -457325906?\n\"Answer: -76220985*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 955 and 913935?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (23*(-75)\/(-4025))\/((54\/(-120))\/3)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 17*p + 20. Let k(q) = 14*q**2 - 50*q + 59. Let d(z) = 4*k(z) - 11*x(z). Let o be d(12). What is the smallest value in 32, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/(-108)*(-12)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*j - 4 - 52*j**3 + 8*j**3 + 35*j**3 to the form s*j**3 + l*j + u*j**2 + o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79332*r**5 + 117831*r wrt r?\nAnswer: 1586640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.09, -2.4, -2.8?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -16 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - -d4d436?\nAnswer: d4d463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 - (0 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -7*c + 8*c. What is the remainder when c is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 4*z = -3*z - 50, 42*v - z - 5 + 23 = 45*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 0*o**3 + 0*o**3 + (5*o**3 + o**3 - 2*o**3)*(73*o + 2*o + 12*o).\nAnswer: 346*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -908047000 rounded to the nearest one million?\nAnswer: -908000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/6)\/7)\/(4\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11928?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*i + 383 = -580, 5*z - 4*i = 1206. Calculate the remainder when z is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*c - 2*w, -2*c - 7*w = -4*w + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 0.8793?\nAnswer: 24.6204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 38*j**3 + 5*j**2 - 51*j - 232. Let f be l(-19). Round f to the nearest one thousand.\nAnswer: -258000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2721743*a**2*f**3 - 42*a*f**3 - 1358*a*f wrt a?\nAnswer: -5443486*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*a + 47 + 1, 3*a + 69 = 2*c. Let z = c - 28. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9113.13 and 0.08.\nAnswer: 9113.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001112 (base 3) to base 4.\nAnswer: 113123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = -5*j + 4*i, j + 4*i = 12. Solve d - 3*z = -5*z, -5*d + 4*z + 14 = j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118968, -237936, -356904, -475872?\nAnswer: -594840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*w + 52*w + 1221. Calculate the greatest common divisor of 3333 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00188 + -42.\nAnswer: -42.00188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43\/3 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 8. Let m(o) = 2*o - 9. What is -5*m(i) + 6*t(i)?\nAnswer: -4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.45 (b) -0.9 (c) 3 (d) 1\/718 (e) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 10*l + 29. What is x(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(-5 + sqrt(304) + 4 + (sqrt(304) + sqrt(304) + (-3 + sqrt(304) + 0 - sqrt(304) - sqrt(304)) + sqrt(304) - sqrt(304)) + sqrt(304)))**2.\nAnswer: -396288 + 13824*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133233 divided by -1497?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from nhhluhhxx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 + 96*i**3 - 768*i**2 = 0. What is i?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 13. Let w(i) = -i + 3. Let k(c) = c - 3. Let v(j) = 3*k(j) + 2*w(j). What is 6*u(l) + 26*v(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Let h(q) = 2*q**2 - 4*q + 2. Let r be h(2). Let j(l) = 0*l**2 + l**r + 4*l**2. Calculate j(d(k)).\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqddeqz. What is prob of picking 1 z, 2 d, and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1143 = 142. Suppose -i = -3*u + 19. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = -0. Let j = h - -2. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/60)\/(160\/2160)*-20.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 67 - 65. Which is greater: n or -3\/160?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(9\/12 + -1). Suppose c*b = 3*b - 28. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177379327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = -3. Let a = o + 5. Suppose -22 = -i + 5*s - 5, -4*i = -a*s - 52. Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/12)\/((-29)\/((-290)\/24))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1.92, -6, 165, 2\/7 in descending order.\nAnswer: 165, 1.92, 2\/7, 2\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41624982 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 83)*(2\/(-2) - 0) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - -2) + -6 + 16 + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-10 + 1 + -4)) + -6 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290776357 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -9*d + 23 - d**2 + 1\/20*d**5 - 7\/12*d**4 + 0*d**3. Let r(h) be the first derivative of g(h). Determine r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -1, -34 in increasing order.\nAnswer: -34, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 2, 0.089, -0.1?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 245*m**2 - 1421*m - 109. Give c(6).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, n: 2, j: 1, k: 1, z: 2}. What is prob of sequence zkj?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k = 90 + 406 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12717 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349064 is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p + 0*p**3 + 0 + 0*p**2 + 1\/6*p**4. Let c(k) = 2*k. Give c(u(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 28 + 0*h**2 - 23)*(-h + h + 2*h)*(-3*h**2 + 2*h**2 - h**2).\nAnswer: 12*h**5 - 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -4*s, 2*q - 4*s = 0. Let o be (q + 3)\/(9\/6). Suppose -o*c - 50 = -2*x, -2*x + 4*c = -0*x - 52. What is the highest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 57*n**3\/2 - 153*n**2 + 124*n.\nAnswer: n*(n - 4)*(n - 1)*(n + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 3, f: 4, p: 1, k: 2}. Give prob of sequence kmf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30)*30*(-8)\/(-24))\/(13\/39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807293 is divided by 942?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from fbfrffbb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/7 - 93768*j**2\/7 - 26790*j - 93764\/7 = 0?\nAnswer: -46882, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 - 4572*a - 9128 = 0. What is a?\nAnswer: -1141, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16360*u + 372*u**2 - 377*u**2 - 17276000 + 3893520.\nAnswer: -5*(u + 1636)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 136*y**3 + y**2 - 8*y - 10. Give c(-1).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208) + -1 - sqrt(208))*-6)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1748, 0, 4, -3\/796, 5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -485, 22\/5, -311\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719446 is divided by 2901.\nAnswer: 2899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a - 0. Factor -2 + 1\/2*k**3 - 5\/2*k**2 + a*k.\nAnswer: (k - 2)**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1273 divided by -19.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - d - 3)*(4 - d - 4 + 1 - 1 + 2*d + (-6 + 2 + 2)*(-3*d + 1 - 1) + d + 2*d - 2*d)*(-2*d + 2*d - 2*d).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + 27 + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -10. Solve 5*g + 4 = -p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*z - 4 = 0, -6*z + 2*z = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 = 8. Suppose h*g + 0*g - 142 = -5*p, -2*p + 205 = 5*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -116\/5, 1, -8, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62\/14 + 56\/98. Calculate the common denominator of (2\/4)\/(22\/(-82)) and 1974\/(-660) - (-2)\/r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -228?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -943.59 - -949. Let l = z + -5.61. Put 3, l, -55, -2\/9 in decreasing order.\nAnswer: 3, l, -2\/9, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20768 and -0.001.\nAnswer: 20.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20223*z. Let i(t) = t. Calculate i(c(v)).\nAnswer: -20223*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 - 5*f**2 + 5. Let d(v) = v**3 + 152*v**2 - 154*v**2 + 2*v**3 + 2. Give -4*a(r) + 10*d(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from tdntdntfnfdnfdfnfty?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29077 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 + 7*t - 3. Let z be f(-8). Suppose 7*j = 2*j + z. Sort j, 2, -4 in increasing order.\nAnswer: -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. What is the second biggest value in g, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/3)\/19*18\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - k**2 + 6*k**2 - 4*k**2 + 5*k**2 - 3*k - 2. Let s(l) = 2*l**2 + 2*l**2 - 5*l**2. Let z(o) = -m(o) - 6*s(o). Factor z(r).\nAnswer: -(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*i**3*k + 1960*i**3*n + i**3 + 150*i**2*k*n + 2*i*k*n + 15*i*k - 4*i*n - k*n wrt i?\nAnswer: 456*k + 11760*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/8)\/11 - (-106)\/120\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1528453 and -1528455 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20891663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -353.\nAnswer: 4\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -83. Suppose 13*j = 2*j + i. Solve 0*m - m = 2*u - 4, -j*m - 20 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1326\/(-24) - (-2)\/8. Let n be ((-2)\/j)\/((-5)\/(-25)). What is the nearest to 0 in -0.1, n, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 = 0, 6*x - 2*x + w = 111. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*2*-3)\/((sqrt(484) - -1*sqrt(484))*6 + sqrt(484) - sqrt(484))*1*-3)**2.\nAnswer: 405\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 76. Suppose -3*h + x = -h. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q + 15. Let y(n) = -3*n + 2. Let u(a) = 2*m(a) - 15*y(a). Let l(z) = z. Calculate 5*l(o) - u(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273888 is divided by 371.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/4378248 and -53\/18564?\nAnswer: 56917224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.9. Let q be (-50)\/(-140)*(-10236)\/(-15). Let a = -244 + q. What is the closest to u in 5, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.063? (a) -4\/31 (b) 1\/7 (c) 1\/2 (d) -5 (e) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3. Let g(h) be the first derivative of -h**3\/3 - 4*h + 20. Let d(n) = 4*c(n) + 3*g(n). Let j(k) = k. Calculate d(j(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g - 2 = 0. Suppose 3 - g = s. Let q(l) be the third derivative of l**5\/60 - l**4\/24 - l**3\/3 + l**2. What is q(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 5}. Give prob of sequence uru.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/(-108))\/(101\/(-4444)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143)*3)\/((sqrt(110)*-2)\/sqrt(10) + sqrt(11)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13815.4 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)*b*b*b**0*(((b\/(b*b**(-3)\/b))\/b)\/b*b)\/(b*b**(-2\/5)*b))**(-4) assuming b is positive.\nAnswer: b**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -15*u**2 - 15*u + 10*u**2 + u**3 + 4*u - 2. List the prime factors of w(9).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21450501 (base 6) in base 9?\nAnswer: 1181721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.73 less than -21613062192?\nAnswer: -21613062180.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-3)\/(sqrt(21)\/(sqrt(6)\/sqrt(2)))*-3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 35101349158 - 35101349158.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3709 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -195162 divided by -2?\nAnswer: 97581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r + 42 = 0. Suppose r = -5*v + 71. Suppose 4*f + v = -2*z, 2*f + 4*z = -9 + 1. What is the third biggest value in 1\/4, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2148 + -5?\nAnswer: -214d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49865, 99730, 149595, 199460, 249325, 299190?\nAnswer: 349055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 10*z - 24. Let m(t) = t + 13. Calculate the least common multiple of 30 and m(z).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7994 and 1442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 382*j - 7463. Calculate f(21).\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 20 + -1 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:49 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 11*u**2 - 10*u + 6. Let f be z(10). Let m(x) = 3*x**2 + 68*x - 74*x - 4*x**2 - f. Calculate m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35086443 divided by -8\nAnswer: 35086443\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 7*x - 0*x. Let s be 26*3\/6 + x + 1. Let n be -1380*(27\/(-14) + 2)*s. What is n rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90927173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 + (-13)\/3 + (-30)\/45 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 6 = 2*b. Let m = -10\/11 + 51\/44. What is the nearest to m in 4, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 5*y - 55 = 109, 0 = 4*s + 2*y + 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 7 - (-10 + 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/80878 and -31\/206010.\nAnswer: 10918530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 894799 = -18*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142 - 26430?\nAnswer: -26572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.238304 years to centuries.\nAnswer: 0.04238304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5*w + 39. Let r be z(-9). Let c(b) = 2*b**2 - 16. Let p be c(r). Solve -p*t = t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-21)*(-3)\/(-2). Let s be (14\/7)\/(-8) - (-15)\/b. What is h in -s*h**2 - 15\/2*h - 9\/2 - 1\/2*h**3 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 62 = -3*z + 8, 4*v - 12 = 0. Let f = z - -27. Let s = f + 2. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*v = 14 + 1, -h - 2*v - 3 = 0. Let r be 0\/(1 - (-6)\/h). Put -3, 4, r in ascending order.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let b be g(3). Put 2, 4, 3, b in decreasing order.\nAnswer: 4, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-2 + 2 + 9)*3\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -136*n - 25. Let o be m(23). Calculate the common denominator of o\/378 + (-1 - 18\/(-14)) and -151\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 159 = -0*u. Let i = -36 - -119. Let n = i + u. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfdfqu. Give prob of sequence qffd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2. Let m(n) = -n**3 + n**2 + 1. Let j = -33 - -22. Let u = 10 + j. What is u*c(w) - m(w)?\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*(-19)\/((-1330)\/63).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + o - 12597, 0 = -5*x - 14*o + 10*o + 12588. Is x a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.3 and -25?\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Suppose -4*h = -c - 47, d = -3*h - 3*c + 30. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -321 + 311.36. Let k = c + 8. Let o = k - -1.6491. Round o to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and 2430.\nAnswer: 2428.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035019 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -246. Solve a*x = -3*f + 9, f - 1 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = -b - 3*t, -21 = 3*b - 5*t. Let x = -3 + 0. Which is greater: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-13 - -8 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6633 and 141339?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18573654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddydbybbbdybddbyyy. What is prob of picking 3 y and 1 d?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1523, 3048, 4571, 6092, 7611, 9128?\n\"Answer: -c**2 + 1528*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 = -7. Suppose 4*r - v*c + 4 = -0*c, -2 = -2*r - 2*c. Suppose 2*h + 3*h = r. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*q**5 + 2*q**2 + 0*q**3 + 5*q + 52*q**5 - 22 + 0*q**3 + 0*q**2 wrt q.\nAnswer: -3280*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 3\/4, 8\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -339202?\nAnswer: -339202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a**3 - 3*a**2 + 3. Let d(q) = -65*q**3 + 13*q**2 - 13. What is 3*d(z) + 13*f(z)?\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*n, 67*n + 62*n + 5*g = 126*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*-217.02\nAnswer: -1085.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/217)\/(10\/20)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b**(1\/2))\/((b*b**(-2\/7))\/((b\/(b*b*b**(2\/17)\/b))\/b)))\/(b**(-1\/2)*b\/(b\/b**(-5)*b*b)*b)**(1\/14) assuming b is positive.\nAnswer: b**(-771\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*s - 491, -6*g + 570 = -g - 5*s. Suppose -5*t + g = -76. Suppose -3*i + 2*l + t = 0, 2*i + 2*l - 36 = -0. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**7\/840 - l**6\/360 - l**5\/120 - l**4\/4 + 2*l**3\/3 + 3. Let t(b) be the third derivative of g(b). Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87, -321, -711, -1257?\n\"Answer: -78*s**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*d + d**2 + 165*d + 6*d**5 - 2*d**2 wrt d.\nAnswer: 120*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 819 + -2456\/3. What is the closest to l in -5, 4, 17, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188.5 and -0.0781952?\nAnswer: 14.7397952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424167557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -226.94?\nAnswer: 226.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 470*t + 36. Let b(g) = -156*g - 10. What is -14*b(y) - 4*z(y)?\nAnswer: 304*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + 3288\/648)*(-177)\/(-4) and 1 - 258\/45 - 15\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -115*q + 14. Let d be i(-10). Suppose 0 = -l - d - 2780. Let x = l - -23725\/6. Calculate the common denominator of 29\/20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let j(k) = 117332906*k. Calculate b(j(v)).\nAnswer: -13767010830404836*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2138.823401 - -5\nAnswer: 2143.823401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6290?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 14*n**2 - 18*n + 13. Let z(o) = -o**3 - 7*o**2 + 9*o - 7. Let x(q) = -2*j(q) - 5*z(q). What is the units digit of x(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10806*((-5)\/(-2) + -1). Let t = x + 18023\/23413. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8 + 10 - 8*c + 26*c + 16 + 20. Let v(q) = 4*q. Give v(j(p)).\nAnswer: 72*p + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/11 + (-4)\/(-22). Let b = 6 - q. Suppose 9 = 2*p - b. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -470*b**2. Let c(x) be the third derivative of x**5\/30 + 4246*x**2. Give g(c(o)).\nAnswer: -1880*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27044 <= 27046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u - 2. Let i = 0 - u. Let f be -2*(1 + (-3 - -1)). Calculate the greatest common factor of i and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - -78. What are the prime factors of f?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + u**3 + 0*u + 2*u**3 - 1567*u**2 + u + 423*u**2 + 2 to the form x + i*u**2 + m*u + n*u**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111\/11 + 1087\/99. Factor -g + 8\/9*v - 2\/9*v**2.\nAnswer: -2*(v - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - 10 - 2 + 13. Let b(f) = f**3 + 13*f**2 + 11*f - 11. Let w be b(-12). Give x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from {c: 1, r: 5, n: 1, i: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14814997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 2) + (-32)\/(-8). Suppose -5*i = -5*m - 30, m + 3*m + 4*i - 16 = u. Let t(y) = -y**2 + y - 1. Let x be t(m). Let q(s) = s - 4. Determine q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -6\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l. Solve l = 3*q + 5 + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) -0.8 (c) -1 (d) -4 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j + 10*j + 0 + 0. Let r(m) be the first derivative of 3*m**2 + 2*m - 9. Give 4*l(w) + r(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a0 + 5210?\nAnswer: 4720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f - 5. Let z be v(-6). Let r = -5 + z. Calculate the smallest common multiple of 18 and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -250 + 63841 + (2 - 16)?\nAnswer: 63577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*k + 6 = 0, 810*o = 809*o + 2*k + 7 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - (-25 + 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2. Let t(x) = x - 4. Let r be (-4)\/14 + 144\/(-84). Give r*t(f) - 5*b(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -125?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/(-3393))\/(7\/6))\/((-2)\/(-14))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + 6825\/(-200))*-7?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:10 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 19*s = 11*s - 38, -5*t - 20 = 3*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40836948.79999967 - -40836948. Let u = 0.8 + d. Round u to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150503905*l**5 - 15414*l**2 + 86*l - 2.\nAnswer: 9030234300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37\/6 + -157\/24. Calculate the common denominator of -30 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyueyyyyydy. Give prob of picking 1 d, 1 e, and 1 y.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 6 - 3 - 3*j**2 + 1 + 0*j**4 - 2*j**4 to the form c*j**3 + o*j + y*j**2 + z*j**4 + h and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 - 0.06. Let w = s + 1.3. Let k = -6\/67 - -212\/871. What is the second biggest value in k, -5, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*f + b + 7, -3*f - 3*b = -15. Let u(m) be the first derivative of -1\/6*m**3 + 0*m - 1\/16*m**f + 3 - 1\/8*m**2. Factor u(d).\nAnswer: -d*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720) + ((-1 + sqrt(720))*-4 + sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720))) + sqrt(720) - sqrt(720))**2*1.\nAnswer: -384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g*w**4 + 5*g*w**2 - 12*g*w + 52*g - 3468*w**5 - w + 11616 wrt w?\nAnswer: -72*g*w**2 + 10*g - 69360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 7. Suppose -3*i - 2*z - 16 = 0, 22*z = -i + 18*z - 12. Put i, g, 0 in ascending order.\nAnswer: i, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23341.11 times -0.07\nAnswer: 1633.8777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/451 or 0.1?\nAnswer: -2\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*o + 15*o - 4*o**2)*(-1 - 6 + 2)*(3931 - 88*o - 3931) as l + y*o**3 + n*o**2 + v*o and give y.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 20*j**2 + 28*j - 12 = 0. Calculate j.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:00 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - g = -2*t - 27, -2*g = 2*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8778935?\nAnswer: 5, 11, 159617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.08 - -0.08. Let q = i + 0. Which is the biggest value? (a) -5 (b) -2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7635 - 7275. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -3*j, 2 = 3*l + l - 2*j. Solve -5 = -3*b + l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y + 356*y - 43*y.\nAnswer: 353*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38833 is divided by 743?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s + 89. Give n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 107055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409 + -406. What is the remainder when 174 - (4 - o) - (-20)\/4 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2413249.1 and -79?\nAnswer: 2413328.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -480*d**3 - 1179*d - 2059. What is the first derivative of x(y) wrt y?\nAnswer: -2880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7 = -5*f, 5*f + 1 - 9 = c. Let v(n) = 2*n**2. Let d be v(f). Suppose 4*h + 3*m - 5 = 0, 3*m = -d*h - 0*m - 5. Solve -37 = h*a - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 14*o - 12. Let t be f(13). Solve -3*y = t + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*o**2 + 329*o**2 + 281*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 720*n**4 - 4070*n**3 - 1573200*n**2 - 23871125*n = 0. What is n?\nAnswer: -23, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/((-42)\/10) + -1)*63. Suppose -d*f = -38*f + j - 4433, -2*j = f - 1117. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743*j - 3174 = -737*j. Let y = j - -548. Calculate the remainder when 36 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*(-110)\/(-33)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6822?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30888, 61778, 92668, 123558, 154448, 185338?\nAnswer: 216228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -0.5?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4380 + -619. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) + -2 + 2)**2 + sqrt(128))*-3 + (sqrt(216)\/(sqrt(45)\/sqrt(5)))\/(sqrt(120)\/(sqrt(20)\/sqrt(2))).\nAnswer: -384 - 47*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 15 = -4*m - 18, -2*m - 11 = 3*d for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*t + 382211 - 382311, -4*t + 16 = -2*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4140057823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 2}. Give prob of sequence uxu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.28 * 7.\nAnswer: 43.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b. Let x(z) be the third derivative of -z**4\/12 + 5*z**3\/3 - 7*z**2 - z. Let j(d) = -4. Let q(c) = -10*j(c) - 4*x(c). What is 3*g(l) - 4*q(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-6 + 1 + 3)*((0*f - 3*f - 2*f)*(-4 + 6 - 1) + (-1 + 0 - 4)*(-2*f - 4*f - 2*f) - 2*f + 1 - 1).\nAnswer: -198*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 4*a - 29. Let g be ((-105)\/(-10) + -3)\/((-3)\/(-8)). Suppose 0 = -3*z, 6*h + g = 2*h + 3*z. List the prime factors of t(h).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3059 - 234368244.\nAnswer: -234365185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3 - -1)*1. Suppose -j = j + d. Let t = 0.222 - -2.778. Which is the third smallest value? (a) t (b) -1\/10 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184 and -147.29.\nAnswer: -27101.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 5*c, 3*c = c. Suppose 5*r - k*v - 1165 = 0, 11*r - 15*r - 2*v + 914 = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 30*m = -309150000. Round m to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6087.97 + -6160. Let s = x + 6.23. What is s rounded to zero decimal places?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/200 and -13\/75100?\nAnswer: 150200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2 (c) -0.148 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + -15.6. Let y = -77.5 - s. Let p = y - -42. Which is greater: p or 62\/7?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 1\/7, 195\/7, 52?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72536 is divided by 310.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91994.39mm in nanometers?\nAnswer: 91994390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1425*j + 716*j + 707*j. Let c(a) = 91*a**2 + 8*a. Let m(g) = 30*g**2 + 3*g. Let y(n) = -3*c(n) + 8*m(n). Give y(u(z)).\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 103844069 and -50.\nAnswer: 103844019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.1, 2\/7, -5, -0.3?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158*(-18)\/(1620\/(-45))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 + 0 = 4*z, -3*l = -3*z - 9. Suppose 5*g + 15 = 0, 5*a + l*g + 2*g = 3. List the prime factors of a\/15 + 49\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 28*p**2 + 2*p - 30. Let c be j(-28). Let h = 87 + c. Solve 0 = -3*a + h - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 61. Let l = s + -41. Solve -9 = l*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a092 - -7?\nAnswer: 3a099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -520 < -527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v + 178. Let p be q(26). Let y = p + 107. Solve 5*o - y = -71 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + 16. Let q = k + 11. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 3. Let g be h(3). Suppose -23*n + 26*n - 3831 = g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 8. Suppose 9*z + y - 15 = j*z, 3*y = -3*z + 21. Let s(d) = 2*d - 1. What is the least common multiple of s(z) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h. Let w(d) be the second derivative of -41*d**3\/3 + d**2 - 7*d + 4. What is w(u(o))?\nAnswer: 1148*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1076501\/254902879 + 1\/89471. Is a less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/23 (b) -1\/18 (c) 4571.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/62 in -0.5, 4, -21.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - 2*j)*(0*j**2 + 0*j**2 - j**4 + (-4*j**4 + 5*j**4 - 2*j**4)*(-3 + 1 + 5) + 18*j**2 - 18*j**2 + 19*j**4).\nAnswer: 15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and -213553077878?\nAnswer: 213553077860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5\/(-255)*-45.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r + 6*r - 5*r to y*r + v and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 670 * 1\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140326921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.055 + 108.945. Let w = 109 - x. Are w and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60020 and 20?\nAnswer: 60020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7440 - 7141. What is the greatest common factor of k and 312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odk when three letters picked without replacement from dtrkeot?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(x - 3*x + x) + 540*x + 298*x - 1186*x in the form p + b*x and give b.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -713*t + 143*t - 657*t - 482*t - 682*t to the form w*t + a and give w.\nAnswer: -2391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -44. Let t(y) = 3 - 36*y**2 - p*y**3 + 36*y**2 + y - 2. What is t(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*j = -655*j + 8106 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3 + 9. Let v be m\/(-8) + (-1)\/2. Suppose v*p + 573 = 3*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11871 + 12647. What is the remainder when c is divided by 250?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 0 + 3\/2*r**5 + 0*r**2 + 0*r + 3\/2*r**3 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66324157 is divided by 81.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -49. Which is greater: -116 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12*-8*39\/(-26). Sort -4, 0, 9, c in decreasing order.\nAnswer: 9, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48762)\/(-688))\/189*(-26)\/(-3)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7, -0.3, 3 in increasing order.\nAnswer: -0.3, 0.1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160581 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by 8.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 24 = 8*u. Let m(o) = -2*o + 4. Let w(p) = -2*p + 5. Determine u*m(b) - 3*w(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447894559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*n**4 - 55*n + 55*n + (-2*n - 2*n**3 + 2*n)*(1 - 1 + 2*n) in the form i*n**2 + d*n**3 + x + r*n**4 + l*n and give r.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1235534 - 461?\nAnswer: -1236325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 2*q**2 - 3*q + 2. Let d be k(-3). Let x(u) = 5*u + 70. Suppose 0*v + 21*v = -294. Let p be x(v). What is the nearest to p in -0.05, -0.5, d?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 3*d - 11*d + 3*d to the form z + s*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 1 + 1\/3*p + 1\/3*p**2 + 1\/9*p**3. Find u such that r(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135307.\nAnswer: 269, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. Let g be (82\/(-6))\/(1\/(-6)). Let d = -1232\/15 + g. What is the smallest value in 3, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 182. What is the remainder when v(23) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = 42 + 114 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 437698.\nAnswer: 1750792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.76, -3, -2?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3))\/sqrt(9) - (sqrt(7) + 5 + sqrt(7) + -1)**2.\nAnswer: -44 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -490573 (c) -2.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5057)\/(-117) - (-4)\/(-18). Let o = -13 + i. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2372 - -2372.1. Let u be 8\/18*6\/(-16). Let o = 12 - 7. Which is the nearest to z? (a) o (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-2))\/((-3)\/(-6)). Let c = 0 - z. What is the greatest common divisor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9315 + 9317. What is the nearest to 62 in o, 2\/21, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188 divided by 4.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1172965399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**8\/6720 - j**7\/315 + j**6\/72 - j**5\/15 + j**4\/3 - 9*j. Let h(r) be the third derivative of b(r). What is h(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 28*q**3 + 29*q**2 + q. Let g(j) = 28*j**3 + 30*j**2 + 2*j. Let o(f) = -3*g(f) + 2*n(f). Factor o(h).\nAnswer: -4*h*(h + 1)*(7*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let m(c) = -7*c + 2*c + 6*c. Calculate b(m(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1295775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26533*o**3 - o - o + 5*o - 15639*o**3.\nAnswer: -42172*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-183)\/9)\/((-2)\/18). Suppose 5*l = -10, -3*k + h = 5*l - 347. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:40 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -20. Let q = 75 + -72. Let a = q - c. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from {f: 3, e: 7, w: 9}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r - 1306 = -638 + 1100 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 4*a + a)*(421*a**2 - 83*a**2 + 474*a**2)*(a - 25 + 25) to m*a + x + b*a**4 + g*a**3 + z*a**2 and give b.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 12*b**2 + 8*b + 15. Let k be x(-12). Let f = 137 + k. Suppose -9*m + f = -5*m. Solve m = -5*a - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 7*t + 42 = 28, 3*t + 22 = 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -9. Let u(g) = 4*g**3 + 19*g**2 + 53*g + 44. Let n(l) = l**3 + 5*l**2 + 13*l + 11. Let h(j) = m*n(j) + 2*u(j). Is h(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 + f - 3. Let q be r(1). Suppose -q*a + 64 = 13*a. Suppose 2*z + 2*m = -6, -3*z + 6*z - 21 = 3*m. Solve -p - z = a*i, -p - 2 = -0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*d + 2*y, 0 = -2*d + d - 2*y - 1. Let h be 3\/(21\/d + 2). Let u = h - -68. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l + 12. List the prime factors of c(9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -407*v - 458?\nAnswer: -407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21383022 to the nearest integer?\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 15*k + 81 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - -18. Let p = 48 + -103. Let y = p + f. Which is bigger: y or -2\/33?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 14*i**2 + i + 44. Let n(g) = g**2 - 30*g - 17. Let t be n(31). Calculate the smallest common multiple of m(t) and 44.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1 - -20)\/((-5100)\/(-4080)) + -9. Let y = 4 - 2. Solve -y + z = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 5:13 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -12*i + 83 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {l: 11, g: 8, h: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795675.\nAnswer: 5, 111827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43544 + -43537. Solve 4*j - 12 = 0, -8*h = -o*h - 2*j + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -606, -907, -1208, -1509?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 5*l - 5*l)*((4 + 0 - 6)*(0 + 0 + 1) + (2 - 6 + 2)*(1 - 5 + 1)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:27 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 21 - 61 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4 + r**2 + r + 2. Let y be c(-1). Solve -u = -2*u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*6*sqrt(363)*-2*3 - 4*1*(1 + sqrt(363))*5))**2.\nAnswer: 42240*sqrt(3) + 5947617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 27. Let n be j(-20). Suppose n*c = -13*c + 140. Let r(p) = p - 4. What is r(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25152920, -25152922, -25152924, -25152926, -25152928, -25152930?\nAnswer: -25152932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1525 + -1527. What is the third biggest value in -3\/8, j, 2\/97?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 18 = 3. Let y be 10\/(-24)*t\/50. Let i = 107\/339 - -2\/113. What is the closest to i in y, 5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 135?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/11 (b) -5 (c) -3 (d) -0.5 (e) 110 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 4*t**3 + 5*t**3)*(8*t - 75 + 73 + 5*t).\nAnswer: 52*t**4 - 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j - 10. Let d be ((-27)\/(-3))\/(-3)*j. Is 208\/6 + (-2)\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -583 - 26465?\nAnswer: -27048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103014 + -58435. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258 and 15394.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2011\/159 + -7 + 156\/117 + -7?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:39 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (100\/8 - (-25 - -38)) + -1 + 1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -14\/132605 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 1361\/3 (d) 15 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (sqrt(304) + 1*sqrt(304))**2 + sqrt(304) - sqrt(304))*1 + -1.\nAnswer: 4*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1467*l**3 + 3*l**2 - 676*l + 11 wrt l.\nAnswer: 8802*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*0.213\nAnswer: -0.1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 + d. Let c be y(3). Suppose -4*s = 4*h + 88252, -c*s + 22057 = -h - 6*s. Let f = -13466 - h. Round f to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, -2 in decreasing order.\nAnswer: -1\/5, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13430925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.16 + 1.524. Round x to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.59 + -7.59. Let w = -6.76004424 + -0.23996126. Let b = m - w. What is b rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4\/5) + 288\/(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, -3 in increasing order.\nAnswer: -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115366 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 12. Let p be v(-7). Solve p*i + g = 16, 3*i = -g + 6 + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(10)\/sqrt(2) - sqrt(5) - sqrt(640)\/sqrt(8).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36887442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = -t, -3*t - 2 = -4*d + 7. Suppose -h + 130 = j, -2*j - 2*h - h + 255 = d. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 5. Suppose 5*q - 2*d - d = 15, -4*q - 10 = 2*d. Let o(n) be the second derivative of q + 1\/6*n**3 + n + 3\/2*n**2. Give 3*h(w) + 5*o(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/((-4*102\/340)\/((-4)\/(-5)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -221\/28980 and 67\/17388?\nAnswer: 86940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*k**3*y**3 + 549*k**3*y**2 + 19*k**2*y**4 - 2*k**2*y**2 wrt y?\nAnswer: -498*k**3 + 456*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 834211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -1.6. Let h = o + -1.5. Let n = 77 - 229\/3. Sort -3\/4, n, h in decreasing order.\nAnswer: n, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 696\/(-1392)*(-4)\/73?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 76788?\nAnswer: 153576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -224*p + 16. Let s be b(-1). Differentiate -227*n - s*n + 8 + 517*n with respect to n.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23544 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**5\/20 + u**4\/3 + u**3\/2 + u**2 - 2*u - 1. Let t(x) be the first derivative of c(x). What is t(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-9 - -11 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 292. Let o = c - 125. Suppose 4*q - 48 = p, 0 = -5*q - 2*p - 1 + 48. What is the highest common divisor of o and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-25) - (-3)\/5. Suppose 5*n - 2 = -2*m, -2*m = -a*m + 1. Let r = 817\/9 + -91. Is n equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21592844, -21592828, -21592812?\n\"Answer: 16*b - 21592860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2, 4, 0.79, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -32*x + 927. Let w be t(29). Does -72\/67 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1412693.1 to the nearest ten thousand.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9316 times -172\nAnswer: -1602352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 842 + -778. What is the remainder when 1087 is divided by x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14883162, 29766324, 44649486, 59532648, 74415810, 89298972?\n\"Answer: 14883162*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*l + 104*l - 2088. Let j = l - 199. Calculate the remainder when 120 is divided by j.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 3*c + 3. Let h be l(6). Let s = h - -59. What is the remainder when 37 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(912) + sqrt(912)*4*1 + sqrt(912) + sqrt(912))\/(-2*sqrt(3)*6 - sqrt(3) - (sqrt(3) - 3*(sqrt(3) - sqrt(3)*2))) + 4).\nAnswer: -140*sqrt(19)\/17 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/50 (b) -3\/8 (c) 11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -48, -5, 0 in increasing order.\nAnswer: -48, -8, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/243 and -52\/7965.\nAnswer: 71685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-30)*-4*-180. Suppose z = -4*s + 8*s. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -67695869.\nAnswer: 7\/67695869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 70, -4877, -5, 5 in descending order.\nAnswer: 70, 5, 2, 0, -5, -4877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5140.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 3, 0, 5, -0.2, 2, 14\/795?\nAnswer: 14\/795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -286.7443 to 1 decimal place.\nAnswer: -286.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(320) + -5 + 3 + sqrt(320))**2 - sqrt(15)\/(sqrt(3) - (-6*(sqrt(3) - sqrt(3)*2) - sqrt(3)))).\nAnswer: -6420 + 1275*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*a + 3552 = 127*a. Let f = 7 - 2. Put -2, f, a, 1 in descending order.\nAnswer: a, f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (24\/(-30))\/(2\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147) + -2 - sqrt(147))*-2 + (sqrt(147) + (sqrt(147) - (sqrt(147) + sqrt(147)*1)))*3 + sqrt(147) + -4)**2 + 5.\nAnswer: 42*sqrt(3) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) -1\/18 (c) 0 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116361 plus 909?\nAnswer: -115452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22291461 to the nearest integer?\nAnswer: 4721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5865659306 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: What is the value of -26 + 0 + 28 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 64*a + 59. Let t be i(4). Let h be (-2)\/(-18) - 707\/t. Is h > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69914657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-2 - 0 - -1). Suppose 5*j - j + 140 = 4*r, x*j + 73 = 5*r. Let s = -36 - j. Let u(q) = -4*q + 3. Let h(i) = 20*i - 16. What is s*h(v) - 11*u(v)?\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 21946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883310?\nAnswer: 2, 5, 19, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877811 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 + 21*u - 3. Calculate i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 27 - (-28 - (5 - 8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 7*o**3 + 2*o**3 - 3*o**3 + 2*o**3 - o**3 + (-1 - 1 + 4)*(-o**3 + 3*o**2 - 3*o**2) - 2*o**3 + o**3 - 3*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/60 - m**3\/6 - 2*m**2. Let q(i) = -2*i**2 + i - 29. Let j(s) = -3*a(s) - q(s). What are the prime factors of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14851 = -2585*z - 62699 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -29. Solve 0 = 5*d + 2*y - 0 - i, 2*d + 15 = 3*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/39 in -1\/3, -1, 0.7, -0.11, 2\/3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.3, 3662?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/1*549\/(-2049600)*-175?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(2\/3)\/t*t)\/t*t*t)**(-1)*t**(2\/11)\/((t**(4\/5)\/t)\/t))\/(((t**(1\/5)*t)\/((t**(1\/4)*t*t)\/t))\/(t**(-1\/4))**47) assuming t is positive.\nAnswer: t**(-923\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, 5.1 in increasing order.\nAnswer: -0.3, 4, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - 5. Solve d = -3*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311010123 + -12?\nAnswer: -311010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4)*k)**(-40)\/(k**6*k**21))**(-28) assuming k is positive.\nAnswer: k**(-1484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4187 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(343) + -2 + 4 + 3)**2 + (-3 + sqrt(343) + -3 - (-4 + 5*sqrt(343))).\nAnswer: 70*sqrt(7) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/25)\/o*o)\/o*o\/(o\/(o**23\/o)) assuming o is positive.\nAnswer: o**(531\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:52 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2023.74 and 19726.9.\nAnswer: 21750.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1564 and 1565 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by -3.\nAnswer: -313\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6127 + 5868. Is p at most as big as -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 86, -328 in decreasing order.\nAnswer: 86, -3, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b - 4*b**2 - b - 2 + 6*b. Let v(j) = -20*j**2 - 21*j**2 - 25*j**2 - 3*j - 3 + 61*j**2. Suppose -8 = -4*z - 0. Determine z*v(l) - 3*i(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 + -0.54. Let f = y + 0.46. Which is the nearest to -0.1? (a) f (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 4. Let x be b(-4). Let n = -5 - x. Do 2\/19 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 + 6*a - 2*a - 4 + 4 + (-2 + 4 + 0)*(0 - a + 0) - 7*a - 9*a + 3*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*p**6 - 2086*p**5 + p**3 - 3523920*p**2 - 2.\nAnswer: 23760*p**3 - 125160*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/3 + -123 + 131. Solve -q*k = 3*i - 1 - 0, k = 4*i - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*a = 11, 4*y + 0*a + 44 = -a. What is the remainder when 110 is divided by (-33)\/(-2) + y\/22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 106588*r**2\/3 - 213173*r\/3 - 106586\/3.\nAnswer: -(r + 1)**2*(r + 106586)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/5 (b) 5 (c) -4\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -67. Suppose q*d = 9*d - 584. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/w*w*w**(-1)*(w**(1\/3))**(10\/17))\/((w**0)**(-30)*(w**(-1\/4))**(9\/2)) assuming w is positive.\nAnswer: w**(-685\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 9*o**2 + 5*o + 11. Let g be k(-10). Suppose g = d - 0*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -60, 227, 882, 2025, 3776, 6255?\nAnswer: 9582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23025426 (base 7) to base 2\nAnswer: -111101001111011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + (6 - (17 + -4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -223*v - 1528. Determine r(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6301 = l, -l - 4218 = -2*b - 6*l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.23, 33, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2\/127, -6?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 - 3*b**2 - 1 + 2*b**3 + 4*b**3 + (-3*b + 28*b - 4*b)*(-b**2 + 0*b**2 - b**2).\nAnswer: -40*b**3 - 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 + 2880*o**4 + 105700*o**3.\nAnswer: -4*o**3*(o - 755)*(o + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.56129\nAnswer: 0.168387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 8 + 7 = -3*o, o + 5 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 + 23 - 62)*(13 + 22*w - 13).\nAnswer: -3718*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -25, w = -2*b - 2*w + 71. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1525 + -1236. What is the highest common divisor of p and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.5. Let f = -0.03 + 1.23. Let n = g - f. Which is smaller: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3 + 104*c**2\/9 + 22*c\/3 - 20\/9 = 0. Calculate c.\nAnswer: -5, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 + 377\/117.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 37*k - 53. Let t(c) = -11*c + 15. What is -11*t(o) - 4*y(o)?\nAnswer: -27*o + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*f - 280*f = -42 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 - 10*b + 2. Let q be s(0). Let j be 24\/(3*q\/3 + 0). Solve j = 3*v + 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 285*m - 35819. Calculate j(130).\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2*0.03.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 231a68a (base 12) to base 5\nAnswer: 3212214300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21100020 + -202?\nAnswer: -21100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 + 1676\/7. Let o be (20 + (-554)\/28)\/(4\/6). Let z = o + y. Sort z, 2\/5, -0.3 in decreasing order.\nAnswer: z, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/10)\/(((-126)\/175)\/9). What is the second derivative of -754*d + 3*d**5 - 1 + b*d**4 + 755*d - 5*d**5 wrt d?\nAnswer: -40*d**3 + 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19687, -78646, -176855, -314266, -490831, -706502, -961231, -1254970?\nAnswer: -1587671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -84*z**5 + 297*z**4 - 309*z**3 + 108*z**2 - 12*z = 0.\nAnswer: 0, 1\/4, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -599 - -598.95. Let s = -3\/4 - -1. Let i be 1*((-12)\/(-50))\/(-3). Sort i, h, s, 3\/5 in descending order.\nAnswer: 3\/5, s, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 0.7. Is k at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20013230 + 1?\nAnswer: 20013231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 7. Let f(q) = 5*q + 13. Let w(x) = -6*f(x) - 11*k(x). Let l be w(1). Find the third derivative of 13*g**2 - 25*g**5 + 3*g**l - 7*g**2 wrt g.\nAnswer: -1500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/9)\/2*207\/138?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33111650*v**4 - 35726494*v**2 wrt v?\nAnswer: -794679600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 483*t - 962*t + 478*t. Let u(y) = 1. Calculate -h(q) - 5*u(q).\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-160)*-94 + (-90)\/(-240)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. What is the second derivative of 124*s - 133*s - 5*s**5 - s**z wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and -1441.\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -208*m + 26. What is the units digit of i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -762 - -66. Let y = v + 695.99386. What is y rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10960 is divided by 2740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = 0, d + 4*a = -d - 4. Suppose d = -3*i + 3, -144 - 108 = -4*k - 4*i. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35824651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 2, -658, 0, -1 in decreasing order.\nAnswer: 2, 0, -1, -53, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(931) + 0)*6 - -6*-2*(sqrt(931)*3 + sqrt(931)).\nAnswer: -252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a factor of 155852685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 3\/2 (c) -3 (d) 3 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4165564 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 8. Let t be w(-7). Let v be -9 - -8 - t*11. Let s = v - 7. Solve -4*z + s*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 8:35 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3288 + -32791\/10. Suppose -3*w + 44 = -124. What is the common denominator of o and (4 - 2)\/(w\/105)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -367 - 6?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 4. Let r(a) = -2*a**2 + 4*a + 5. Let l be r(3). Let s be i(l). Solve -12 - s = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2158 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27261 and 792207.\nAnswer: 184584231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**6\/b*b)*b**0*(b*b\/b**(-3\/2))\/(b\/b**(3\/2)) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - a - 4*a = 0, 0 = -2*p + 3*a + 39. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -566 and -303504.4392.\nAnswer: -304070.4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 229*m**3 - 5*m**2 - 388*m + 36535955?\nAnswer: 687*m**2 - 10*m - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69 minus 55.18?\nAnswer: -52.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**25*b)*b*b**(1\/3) assuming b is positive.\nAnswer: b**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*x + 24*x - 4*x + 35)*(0 + 1 + 1) to the form l + w*x and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05490786 to five decimal places.\nAnswer: 0.05491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.12, -3, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0.12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - -111 - (-5 + 2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -27*c**2 + 3*c - 3. Give n(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28990242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*k - 2 = 3*d, 0 = 2*d - 4*k + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 659 and -2.\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 36*b**2 - 1. Let l(v) = -46*v**2. Give l(j(z)).\nAnswer: -59616*z**4 + 3312*z**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3055801\/3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:22 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 62.72958 micrograms?\nAnswer: 0.06272958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2640 = p - 3*b, 102*p - 104*p + 4*b = -5276. What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -21278\nAnswer: 936232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 17 - ((2 - -1) + 4 + 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*x + 1764, -3*s - 46*x + 45*x = -1318. Let a = -344 + s. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4 - -5) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - y + 32 = 3*y, p = -y + 9. Suppose 0*r + p*r + 64 = 0. Is 14 a factor of (-1704)\/r + 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 - 6*d - 8. Let k be w(-4). Suppose -3 = m + 17. Let o be m\/k*2\/5. Which is the closest to -2\/3? (a) -5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273948 and 24107424.\nAnswer: 24107424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g + 50*g + 27 - 28*g + 25.\nAnswer: -7*g + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umuhnnmhm. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*1*221\/(4199\/608)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 27*m + 7 = -26*m, -3*f = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 14833280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 + -0.213. Let s = -2.2 - -0.2. Is p bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -26.63\nAnswer: 10.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 not equal to 4540\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 313445 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078706504 to the power of 1\/2, to the nearest integer?\nAnswer: 71265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 482124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 5*d + 3*d)*(0*d + 0*d + d) + 3 + 2*d**2 - 1 - 3 as p*d**2 + f*d + l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8\/(c*c*c**10*c) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 267\/(-28) + 6\/21 and -7 - (-346)\/9515*1065\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/5 + 116*i**2\/5 - 3278*i\/5 + 3872 = 0. What is i?\nAnswer: -80, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*r + 1673 = 13097, 0 = n - 3*r - 11426. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let j = 2 + c. Suppose -4*i - 13 + 81 = j. Calculate the greatest common divisor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 24 + 56. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 208?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.663 and 0.\nAnswer: -0.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4072, -8157, -12240, -16321, -20400?\n\"Answer: q**2 - 4088*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (17 - 11 - (-23 - -5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 7 = 3*w - 5*w, -3*w = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32745024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/((495\/(-88))\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:35 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28940000 rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 780, 1166, 1554, 1944, 2336?\nAnswer: 2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -609 or -611?\nAnswer: -611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*z**3 - 1698*z**3 - 506*z**3 + 4*z**2 - z.\nAnswer: -2054*z**3 + 4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 l when three letters picked without replacement from lmfflmmffmm.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5 + 342*c**4 + 2884*c**3 - 3564*c**2 - 2882*c + 3222 = 0.\nAnswer: -9, -1, 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Suppose -k - 4*v = -18 + 1, k - 3*v = -y. Let a(i) = 2*i**3 - i - 3. Let w be a(2). Solve 4*l - 5*s + 3 = 0, -w = 5*l + k*s - 4*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131924021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 - 5*n**4\/12 + n**3 - 17*n**2\/2 - 22*n. What are the prime factors of b(7)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 24 = 0. What is the lowest common multiple of 8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107319982.\nAnswer: 2, 7, 11, 63353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 456?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7643*t**2 + 6450*t wrt t?\nAnswer: 15286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 4, 4, -10, -44, -104, -196?\n\"Answer: -s**3 + 2*s**2 + 9*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101128 at most as big as 526\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306855 and 20280.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -361?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - m + 10*m = 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8333251?\nAnswer: 37, 225223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 9 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 9*z + 4. Give a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334 + -266. Suppose n*b + 5664 = 74*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d868 (base 16) in base 2?\nAnswer: -1101100001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -8*j + 12*j. Is 5 a factor of (-6)\/j + (0 - 897\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005643329778 to six dps.\nAnswer: -0.005643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3. Let c = -359 + 360. Let l(g) = -g. Determine c*f(r) + l(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4657805678.\nAnswer: 2, 53, 4457, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (19 - 23 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -316 - 0.0813\nAnswer: -316.0813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.037 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87008?\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 3)*(0 + 0 + 2*j) - 3*j + j + 0*j + (-1 + 2 - 2)*(-4*j + j + 0*j) - 11 + 11 - 10*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d - 6. What is the remainder when 0 + 6 + (-2)\/1 is divided by -1 - 0 - d*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*a - 4, 3*h = -2*a - 2*h + 12. Let u be 0 + -4 - -3 - -5. Suppose -4*l + 3 = q - u*q, -3 = 4*l - 5*q. What is the biggest value in l, -1\/6, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/4586712 and -67\/5160051.\nAnswer: 41280408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7\/3 (b) -146 (c) -712\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*h + 5, 2*h = -5*h + 28 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-6 - 0)\/((-14)\/875). What is the greatest common factor of 42 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -313 + 343. What is the highest common divisor of k and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 431?\nAnswer: -43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h - 3 = 0. Suppose 2*q - h = c - 18, 2 = c + q. Solve c*p - 2*p + 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*s + 371 = 0, -81 = -w + s - 5. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358428809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 43 - 43 + 8*t.\nAnswer: 4*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -192, -288?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/395232 and -99\/658720.\nAnswer: 1976160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -37\/3. Which is the smallest value? (a) x (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 17 + (-5 - (-25 + 13)) + -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*z - z. Suppose 16 = z*p, 5*m + 0*p - 12 = -3*p. Differentiate -5*l**3 + m*l**3 - 6 + 0*l**3 + 0 with respect to l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 39299594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 5*m - 29 = 0, 4*m = 2*v + 20. Suppose a + 3*r - 14 - 5 = 0, -9 = -3*r. Let n = v + a. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p - 66 + 66 as i*p + y and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.4141 millimeters in centimeters?\nAnswer: 62.44141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220.319 minus 550?\nAnswer: 2670.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 81*g**2 - 66*g - 67. Does 19 divide l(79)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4676 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to 0.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 9) to base 14\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 less than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -65669133992.\nAnswer: 65669133992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 330376957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -6890\/41?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-4 - (9 - 7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 9:33 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4761 - 3*l + 433*l**2 + 2*l - 4761 to w + s*l**2 + m*l and give s.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {w: 3, j: 5, y: 2, p: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.3 minus 161578656?\nAnswer: -161578041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1001001010101100111 (base 2) to base 15\nAnswer: 5e011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/9*((-250)\/(-35) - 10)*270\/150.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 310*h + 303*h - 3.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + -6. Let j = n + 21. Let x = -160 + 163. Which is the second biggest value? (a) 2 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67\/455 - 2\/455. What is the closest to -2\/9 in -2, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 432 = -t, -t + 630 - 202 = -4*x. Is (4\/(-6))\/((-8)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106457.\nAnswer: 13, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 3, c: 10, f: 2, b: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -16\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {o: 5, f: 3, j: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3\/9 + 17*i**2\/2 + 54*i - 865. Factor d(t).\nAnswer: -(t - 54)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1272 + 2*y + 1179*y**3 + 1270 + y to the form w*y + m*y**3 + z + p*y**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 17526*c**2 + 386298*c + 2125970.\nAnswer: -2*(c - 8785)*(c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914 is divided by 418.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 759*h**3 - 404*h**3 + 11*h - 357*h**3 - 2*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32016*i - 2059 = 31987*i for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + 13*x + 11*x - 39*x + 7*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204)*1 + sqrt(204)))\/(2*sqrt(432)) + 3*sqrt(204)\/(sqrt(144)\/sqrt(3))*2.\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*d = 102. Let p = d + -11. What is the lowest common multiple of 28 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0593986047 rounded to 4 dps?\nAnswer: 0.0594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.2122 + 0.1978. What is the nearest to d in -1, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 + -0.02\nAnswer: -126.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1108 - 1698. Let a be (-4)\/38 - p\/190. Suppose -a*s + 3*x = 2*s - 10, x + 6 = 3*s. Solve 3*j - 2*n = -j - 4, 3*j + 4 = s*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/7 + 92*j**2\/7 + 216*j\/7 - 2592\/7.\nAnswer: 4*(j - 4)*(j + 9)*(j + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 + 29*w + 164. Determine p(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3 - (6 - 1530\/297)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 8*o**3\/3 - 13*o + 1. Differentiate x(u) with respect to u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2506 and 88\/3759.\nAnswer: 7518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*o + 9 = 84, 5*o = 2*q - 85. Suppose -6*h = q - 156. What is the least common multiple of 70 and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 226467900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 31251ff?\nAnswer: 3125202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 + 108.88. What is g rounded to one decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18432970 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497754 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 divided by -826?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 - 445412*h**2 - 1781584*h = 0 for h.\nAnswer: -111349, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190\/7 - 32. Let w = t - -171\/28. Do w and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 42*u**2 + 157*u - 7060. Determine b(-15).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 26.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864 and 33?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*v - 10 = 0, -12*v - 4 = -z - 14*v. Suppose 50 = z*h + 42. Factor 0*p**3 - 3\/2*p + 3\/2*p**5 + 3*p**h - 3*p**2 + 0.\nAnswer: 3*p*(p - 1)*(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 161853*v = -161848*v + 52, 0 = 7*k - v + 52 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13\/3))**(-49) assuming r is positive.\nAnswer: r**(637\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 18932998.\nAnswer: 18932998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -14 (b) -3\/2 (c) -13\/5 (d) -15689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 5, -132 in increasing order.\nAnswer: -132, -93, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 15. Suppose 5*p + j*w = 39, 6*w - 6 = p + 2*w. Suppose p = -3*s - 9. Which is smaller: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 3, 1 in increasing order.\nAnswer: -56, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130 (base 5) to base 7.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23112426, 23112425, 23112422, 23112417, 23112410, 23112401, 23112390?\n\"Answer: -i**2 + 2*i + 23112425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 35308024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82, -62, -14, 74, 214?\n\"Answer: 2*v**3 + 2*v**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.27 + 0.73. Let c be -4 + 0 - 2 - -3. Let z be 3\/(75\/(-65)) - c. What is the nearest to p in 0.5, z, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (43 - (-30 - -1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 2*u**2 + 3*u.\nAnswer: u*(u + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719213 is divided by 351?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19022091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*f**3 + 477*f**3 - 40*f**3.\nAnswer: 595*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21002752 divided by -21002752.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129297?\nAnswer: 3, 7, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:32 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmr when three letters picked without replacement from {k: 3, m: 1, s: 1, p: 1, r: 2, g: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -8*p - 860. Let k be (-2)\/(-2) + -13 + p. Let i = -54937\/63 - k. Is -1 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-1 - 2 + 2)*((-3 - 2*p + 3)*(-34 - 10 + 8) + 2 + 2*p - 2 + (-10 + 6 - 11)*(3*p + 2*p - 4*p)).\nAnswer: 59*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/30 + 2*t**2 + 492. Let h(f) = -19*f - 3. Give s(h(z)).\nAnswer: -722*z**2 - 228*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10082\/15 + 676. Calculate the common denominator of 71\/108 and n.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:53 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 24*h - 12. Let b be w(26). Solve -b + 28 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*s + 6*b - 134, 0 = -3*b - 12. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -519926 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = -0*x + 4*x, 0 = o - 1. What is the second derivative of a**4 + x*a - 3*a**4 - 3*a wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -53*x**3 + 4*x**2 - 2*x - 4. Let o(a) = 52*a**3 - 6*a**2 + 2*a + 5. Determine 5*j(n) + 4*o(n).\nAnswer: -57*n**3 - 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round -129349746.7 to the nearest 10000.\nAnswer: -129350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -843.961 - 1.039. Let q = 845.000623 + r. What is q rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199437741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + c + 2, 2*c - 24 = -3*a - 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*i + 12, -4*i - z - 2655 + 2665 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w + 39*w - 29*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -1*sqrt(2736))*-6) + -2)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 23*r**2 + 144*r - 36. What is i(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3252019 and 5\/29268171?\nAnswer: 29268171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50767*m**4 + 2*m**2 - 72118?\nAnswer: -1218408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Calculate c(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009939?\nAnswer: 3, 29, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 3. Suppose 266 = -3*d - 5*z, -5*d - 354 - 156 = -5*z. Let w = 56 - 151. Let i = d - w. What is n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -57. Suppose 9 = -4*a + 7*a. Let z(p) = -3*p**u + 3*p**3 + 25*p + 1 + p**a + p**2 - 24*p. Calculate z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 468659*z**2. Let i(j) = -365*j**2. Let r(g) = -2*b(g) - 2569*i(g). Let o(x) = x. Give r(o(u)).\nAnswer: 367*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 2. Let s(z) = 4*z**3 - 2*z**2 + z. Let k be s(1). Suppose y = -k*y + 8. Calculate the remainder when y is divided by v(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0140052 to two decimal places.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(25\/30*-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4042287 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 10*h + 1\/2*h**2 + 32 = 0.\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnnn when four letters picked without replacement from cccnnncnncncn?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiiixxx. Give prob of sequence ix.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 41948*t\/7 + 219954338\/7.\nAnswer: 2*(t + 10487)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 - 16 - 9*b**2 - 46.\nAnswer: -19*b**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1723 - 1722 - 1579 + 5*b**3 + 5019.\nAnswer: 5*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3, 2, -1\/27, 1.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10077423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/6*28 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 70, 11, -3, 6, -1 in descending order.\nAnswer: 70, 11, 6, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 10. Suppose -4*j = 5*n + 2, -j = 3*n + 4 - 0. What is the remainder when j is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -s - 5*z + 254, 4*z = -2*s + 514. Let h = s - 145. What are the prime factors of h?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Solve g + l*g = -4*q - 20, -4*q - 23 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1400 + -1327. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9950041 millilitres?\nAnswer: 0.0009950041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*q + 0*q + 60 = 0, 5*r - 5*q + 135 = 0. What is the nearest to r in 8, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*p - 96, 0 = -2*n + 4*p - p + 27. Calculate the remainder when n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(-5) - (-13)\/(390\/(-12)). Let f(v) = -8*v**3 - 2*v**2 - 2*v + 1. Is 41 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11374 + -0.11934. Which is bigger: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15551 - -1.15551. What is the closest to 0 in -5, 0.3, 1407, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.34, 0, 13.221, -4, 2.7 in decreasing order.\nAnswer: 13.221, 2.7, 0, -3.34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, o: 1, e: 3, w: 3}. Give prob of picking 3 q.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*i = 2*j - 23, 10 = -j + 4*i. Solve j*k + 12 = -5*z, -k - 14 = 3*z - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(13\/455)\/((-6)\/(-14)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 77. Calculate the least common multiple of 11 and d.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 19080563?\nAnswer: 19080566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*t - 159*t + 129*t + 2336 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -16 - -61) + -24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k - 1\/15*k**5 - 1\/3*k**2 + 4\/63*k**7 + 0 + 4\/9*k**4 - 2\/9*k**3 - 7\/45*k**6. Determine q so that g(q) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 69*o - 200*o - 85*o**2 + 4*o**4 + 59*o + 69*o + o**3 as c*o + k*o**3 + x + w*o**4 + i*o**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*z - 30 = 0, 2*u - 2*z + 5*z = 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 9*u**2 - 6*u - 5. Let k be w(-5). Let j be 10*(k + 1)*3. Suppose -z - l - 5 = -j, l + 15 = z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 690.5 - 689.5. What is the closest to 0 in -4, -0.061, -2, o?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, d: 10, v: 1, w: 1}. What is prob of sequence vdd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 1. Let y be a(1). Let o(c) = 2*c - 1. Let i be o(y). Let j(m) be the third derivative of m**4\/24 - 2*m**3\/3 + 2*m**2. Give j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352751441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4565, 18403, 41467, 73757, 115273, 166015?\nAnswer: 225983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -175, 0, -9.\nAnswer: -175, -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*6\/36*4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47520 and 10800.\nAnswer: 237600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than 0.11610624868?\nAnswer: 0.03610624868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 556?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.75 - -0.919.\nAnswer: -68.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 155\/(-3) + 6\/9. Let i = x - -54. Solve 4 = -i*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -241, -559, -1015, -1615, -2365, -3271?\n\"Answer: -q**3 - 60*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 58*o - 304. What is the least common multiple of k(52) and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33047820 divided by -45\nAnswer: 734396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 3*v - 4*v. Suppose -v = -4*k - 13. Let p(t) = -7*t - 16. What is the remainder when p(-5) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171760 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 + 409 + 469 = -686*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {a: 3, q: 1, k: 4, s: 2, i: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.3197 kilometers to centimeters.\nAnswer: 76331970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 d when four letters picked without replacement from wjjwjjwjjdjjjjjjj.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.008 - 0.408. Let n(k) = -5*k**2 + 153*k + 74. Let w be n(31). What is the fourth smallest value in -2\/7, 4\/5, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/(p*p**(5\/2)))**2 assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29295*a**2*v + a*v + 645*v - 1 wrt a?\nAnswer: -58590*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 14. Let l(a) = a + 12. Let x(y) = 6*l(y) + 5*v(y). Let g be x(10). Solve -4*o + 4*d = -g, 2*o = -o + 2*d + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 44\/90) + 363\/(-3267)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -3*j + d, -4*j = -9*j - 2*d + 179. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14993, -30024, -45055, -60086, -75117?\n\"Answer: -15031*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9036 and 41164?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 + k**2 - k - 1. Let r be 2\/(-3)*153\/(-34). Let a(w) = -3*w + 8. Let s be a(r). Calculate m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 16*l**2 + 12*l - 20. Let k be 360\/63 + 2\/7. Let c be (-7 + k)\/(2\/30). What is the units digit of t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:15 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 9*i. Let m be p(9). Suppose -3*s = -2*f + 27, 5*f + 6*s - 2*s - 33 = m. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 2071618 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1829*f + 1373. Is y(2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7))**4*(h*h**7)**(8\/5))**4 assuming h is positive.\nAnswer: h**(1712\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2. Let x(f) = -17*f**2 + 85. Calculate t(x(p)).\nAnswer: 867*p**4 - 8670*p**2 + 21675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 16, -6, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -367.5 and 14934.\nAnswer: -5488245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + r. Let o(s) = -5*s**2 - s. Let b(x) = 2*x + 14. Let w be b(-10). Let j(i) = w*p(i) - 5*o(i). Find the second derivative of j(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26802*n**4 + 353*n**2 + 76*n - 1 wrt n?\nAnswer: -643248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 712*t**2 + 706*t**2 - 1419*t**2. Let h(j) = j + 6. Suppose 5*q = 2*n + 13, n + 4*n + 4 = 3*q. Let w(v) = n*h(v) - o(v). What is w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -73*i + 161*i - 93*i, p + 5*i - 13 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/756 - (25 - (-4851)\/(-196))*2\/(-7).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972*-16482.\nAnswer: -16020504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 9*u**2 - 9*u - 2. Let k be m(10). Suppose -k = -2*a, -3*a + 86 = -5*i - 4*a. Let x be ((-8)\/i - (-2)\/9)*9. Solve -x = 5*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m + 2 - 8 + 1. Let l be (8\/(-10))\/((-7)\/35). Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 4. Suppose 4*g - 10 = 2*g. Let i(t) = 2*t**2 - 3*t - 4. What is the remainder when i(-4) is divided by s(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-1 + 2 - 2). Suppose 224 = -2*v + h*v. Suppose 4*f - 2*i = -108, -v = -0*f + 2*f - 2*i. Which is smaller: f or -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, x: 2, f: 2, r: 6, h: 2}. What is prob of picking 2 h and 2 x?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a - 2. Suppose -6*y + 1540 = 16*y. Calculate the least common multiple of n(2) and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378417907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18887\/32 at least as big as -590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/116)\/(((-13446)\/(-81))\/(-1328)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p**2 - 3 + 0 + 25*p - 5*p**3 + 63*p + 13*p**3 - 29 = 0. What is p?\nAnswer: 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 equal to 18784\/11813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, w: 7}. What is prob of picking 2 z and 2 w?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 9 - 17. Suppose -5*l + q*l + 24 = 2*d, 5*l = 3*d - 36. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/1800 - l**5\/60 - 7*l**4\/40 + 311*l**3\/6 - 2*l - 42. Let w(s) be the second derivative of k(s). Factor w(d).\nAnswer: -(d + 3)*(d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -54. Suppose -5*x - 8 - 7 = -2*i, -k*i + 21 = -3*x. What is the remainder when i is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 40920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9040214.\nAnswer: 2, 1303, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + 306\/108*-4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/150 - b**4\/2 + 15*b**3 - 43*b**2\/2 + 66*b. Let l(c) be the first derivative of o(c). Factor l(h).\nAnswer: 2*(h - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27967121 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 451 + 257. Let x = l + -457. What are the prime factors of x?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 2 + 2*h - 1 + 9*h**2 - 2 to the form r*h**2 + m*h + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/15*45\/6. Let c be 6\/5*5\/2. Suppose r = c*i - 63. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1428 - -0.0428. Which is the closest to 0? (a) -4 (b) f (c) 0 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26922\/90 - (-16)\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -138 + -3142?\nAnswer: -327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.551 - 0.087783?\nAnswer: 3.463217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 581*u**3\/6 - 1991*u. Let n(t) = -2*t**2. Calculate w(n(i)).\nAnswer: -1162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11754227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4617\nAnswer: 4\/4617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 20*r - 20. Let a be n(-4). Let q(f) = 13*f**2 - 8*f - 15. Let d(l) = -6*l**2 + 4*l + 7. Calculate a*q(s) - 9*d(s).\nAnswer: 2*s**2 - 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -271332 > -1356656\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260762 is divided by 32550?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5980, 9907, 13834, 17761, 21688, 25615?\nAnswer: 29542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -682, -701, -738, -799, -890, -1017?\n\"Answer: -b**3 - 3*b**2 - 3*b - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 + 0)*(-3*m - m + 2*m + (2 - 2 + 2*m)*(-1 + 0 - 1) + 4*m - 5*m - m).\nAnswer: -112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 + 48*n + 3520 = 0.\nAnswer: -40, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + k, 4*w = -2*k + 20 - 0. Calculate the remainder when 2 + -5 + -1 + 21 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261900 divided by -13095.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvace. What is prob of sequence cwav?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 146*x**2 - 17*x - 192. What is a(-73)?\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let k(t) = -29*t**2 - 174*t - 174. Let i(z) = -z - 1. Let u(q) = 174*i(q) - k(q). Calculate o(u(d)).\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3161019000 to the nearest 100000.\nAnswer: -3161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 258936 + 2*o - o - 2*o - 258936. Let j(d) = 5 - 5 + 79*d**2. Give u(j(s)).\nAnswer: -79*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1300)\/(-15) - (-9452)\/834\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 56138 = 40025 + 60662. List the prime factors of r.\nAnswer: 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88145 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 3 + 3)*(2*t + 3*t - 2*t) + 2*t - 3*t + 3*t)*(-68*t - 163*t + 4*t) in the form x*t + p + k*t**2 and give k.\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/14 + 8\/28. Let r(i) = -25*i - 114. Let n be r(-5). Solve -t*z - 3 = -n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1 + -8 - -12) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 times -95616\nAnswer: 401587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4181621\/2 bigger than -2090812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 17*k**3 - 1 - k**3 + 18*k**3. Is 15 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -196518*p - 393059. Determine c(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -19146 and -213 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86627.38 millennia to decades.\nAnswer: 8662738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - y - 4. Let v(w) = -w**2. Let k(h) = -r(h) + v(h). Let f be k(-3). Find the second derivative of i + f*i**3 - 32*i**3 + 21*i**3 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*q - 9259 = -41200. Calculate the highest common factor of 8580 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 12. Suppose -g*b = -b - 10. Solve b*y - 3*z - 21 + 1 = 0, 5*y + 2*z - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 1 - (5 + -12) - 7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/5 and 71\/86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let z(f) be the third derivative of 76*f**2 + 9\/10*f**5 + 0*f + 0*f**3 + 0 + 0*f**4. What is z(y(o))?\nAnswer: 216*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.255 - 0.745. Let s = 0 - -0.2. Let x = -1 - -2. Which is the nearest to q? (a) s (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7101, 12326, 17551?\nAnswer: 22776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 41 = 3*n - 7*n, -5*n = -5. Let s be (6\/2)\/v*0. Solve 2\/11*f + s + 2\/11*f**4 - 2\/11*f**3 - 2\/11*f**2 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**7\/168 - p**6\/72 - p**5\/24 + 5*p**4\/24 - p**3 - 15*p**2. Let l(z) be the first derivative of w(z). Factor l(t).\nAnswer: 5*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 0.91, 0.4 in increasing order.\nAnswer: -13, -2, 0.4, 0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 4176?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/25 of a kilogram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7572 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*a - 4*t - 24, -a = t - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 20. Suppose -c*v = -10*v + 12. Solve 0 = v*j + 3 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:39 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-5))\/v*v*v*v**(3\/5)\/v)\/(v**0)**(-6) assuming v is positive.\nAnswer: v**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 18 + 90*b - 8*b**4 - 10*b**4 - 90*b + 2*b**3. What is the third derivative of x(d) wrt d?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k - 130*k + 63*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/9 - (-4)\/18. Let n(a) = 2*a**2 - a**f - 3*a - a + 11 - 3*a. Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1299834 is divided by 561?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(11) + (sqrt(11) - (sqrt(99)*4 - sqrt(99))\/sqrt(9)) + 1)**2.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236718088.\nAnswer: 2, 313, 493897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -13*b**4 - 2*b**3\/3 + b**2\/2 - 18. Let a be c(-1). Let s = 9 + a. 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 618 minutes after 6:55 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4))\/((d**(-2\/15)*d)\/d*d*d))\/(d**(-2\/5)*d\/d**(5\/4)) assuming d is positive.\nAnswer: d**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 + -164 - (-4 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x = 751344 - 2941584. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -31*y**3 - 3*y**2 - 8*y + 9. What is g(-2)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 11, 19, 27, 35?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 h, and 1 l when four letters picked without replacement from rlhlmrnrmtrhhmr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/m)**(-2\/21)*(m\/(m**(-1\/9)\/m))**(-7\/2) assuming m is positive.\nAnswer: m**(-883\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.71858 meters to micrometers.\nAnswer: 3718580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, 12 in ascending order.\nAnswer: -2, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.036 + -0.003. Suppose -96*q + 55*q = -41. What is the closest to q in -3, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -26*h + 2127. Let g be l(79). What is the highest common divisor of g and 6497?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1860, -1992 in decreasing order.\nAnswer: 2, -5, -1860, -1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*873\/(-1746)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676698.345 rounded to the nearest one thousand?\nAnswer: 2677000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - a - 2. Suppose -22*g = 37*g + 246*g + 305. Calculate v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152 - 119)*555\/495.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/6 - 1\/1. Let r(q) = -q**b + 2*q - 2*q - 2*q - 3*q + 5. Give r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 4 = 44. Which is the biggest value? (a) 3 (b) j (c) -13 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let z(d) = -1. Let p(k) = -7*k - 1. Let q(r) = 13*r + 2. Let n(v) = 11*p(v) + 6*q(v). What is w*n(s) - 3*z(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/743 and -62\/3.\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -95*h**3 - 1. Let q be ((-2)\/(-4))\/((-1)\/2). Let p be b(q). Suppose 2*l + v + p = 3*l, 3*l = -3*v + 288. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i - 81*i + 0 - 3 - 17*i + 143*i - 13*i - 9*i.\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 71, 0.05, 5 in decreasing order.\nAnswer: 71, 5, 2\/5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-12)*w**(-7\/5)*w*w\/(w\/(w*w**(-5)\/w)))\/((w**7*w)\/(w**(-1\/11)*w))**6 assuming w is positive.\nAnswer: w**(-3957\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcwb when four letters picked without replacement from qqqwqccccmdb.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.1 - 25. Let y = z - 13. Let j = 0.2 - 0.3. What is the closest to j in y, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2719 + -2714. Solve 0 = 10*m - 6*m - k*d + 5, -5*d + 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 38 = 118. Suppose -4*a - 36 = -4*p, 21*p + r = -5*a + 19*p. Sort a, 3, 2, -8 in decreasing order.\nAnswer: 3, 2, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -35358, -4, -12 in decreasing order.\nAnswer: 12, -4, -12, -35358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(224))\/sqrt(8) + -4*sqrt(112) + -3 + 1 + (sqrt(84)*-1)\/sqrt(12).\nAnswer: -14*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 62*g = 30352. Suppose -g = 109*i - 123*i. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -16, -25, -32, -37, -40, -41?\n\"Answer: b**2 - 14*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 338 (b) 5 (c) 1\/2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127932 is divided by 42638.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 10, -1035655 in descending order.\nAnswer: 10, -3, -5, -1035655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 20 - 4 + 3)*(-4 - 1 + 3) in the form r + y*j and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l - 2. Let g(p) = 7*p + 1. Let n(d) = 9*g(d) + 4*r(d). Let k be n(9). Put -1, k, 5 in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269.4 + 269. Let s be (-47)\/15 - 6\/(-2). Let m = -0.9 - -1. Which is the closest to m? (a) w (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 3. Let h be 2\/(-12) + (-4)\/s. What is the biggest value in h, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 57 + 113 + 68 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 13. Let m be -3 - (-32)\/10 - (-12)\/k. What is the closest to -1 in -2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}