diff --git "a/data/dm_maths/full_data_2/11127_11255.jsonl" "b/data/dm_maths/full_data_2/11127_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11127_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -3*l + 3*o = 2*l + 43, 0 = -5*l + 4*o - 39. Is -10 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(10) + sqrt(1000) + (sqrt(1000) - 2*sqrt(1000)))\/((sqrt(70)\/sqrt(2))\/sqrt(7)).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3020 or 10?\nAnswer: -3020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 3*f**3 + 3*f**3)*(-f + f - f**2) + (0*f**2 - 2*f**2 + 4*f**2)*(3*f**2 - 3*f**2 + 4*f**3).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29103*k + 29542*k = 2634 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.3, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 95*y**3 - 2*y + 44*y**3 - 6*y + 8*y to l + o*y + h*y**3 + x*y**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 310, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2292936 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739524 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {v: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(5 + 4 + -7). Let d(x) = 4 + g - 5*x - x**2 + 24*x - 11*x. Determine d(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*a + 506*a - 257*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -1) + -3 + 1. Suppose 0 = -b - m + 16. Suppose 0 = 5*w - 46 + 6. What is the remainder when b is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-764)\/624 - (-40)\/(-1560)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - i - 79 = 0, 4*u - 3*u - 17 = -i. Suppose -3*o = 2*a - u, -2*a + 4*o - 5*o + 12 = 0. Solve 5 = -a*b + 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159778639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311879914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1970*q**3 - 34*q**2 - 49. Let k(f) = 1313*f**3 + 23*f**2 + 35. Let a(m) = 5*g(m) + 7*k(m). Find the third derivative of a(v) wrt v.\nAnswer: -3954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 310*54\/900.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/6 + 33*j**5\/4 + 100*j**4 + 1480*j**3\/3 + 960*j**2 + 1140*j - 1. Factor p(x).\nAnswer: 5*(x + 1)*(x + 4)**2*(x + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/21 + -17\/21. Suppose 5*q - 3*w = 452, -2*q + 0*q + 168 = 2*w. Let k be (-6)\/(-33) + 6\/q. What is the second smallest value in k, x, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*n + 114 = -n, 5*p = 2*n + 146. What is the first derivative of -p - 6920*x + 6920*x - 9*x**3 wrt x?\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007043 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93062 = -4*d + 2*p, -2*d - 2*p = -40000 - 6546. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7697 (b) -188 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -9. Calculate the greatest common factor of 135 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 3*q**2 - 2*q - 3. Let s be o(-2). Suppose s*t = 4*t. Suppose 5*i = -2*v + 710, 135 = i - t*i - v. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2443 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5426 - 102.7546. Let j = v + 98. Let d = j - -0.2207. What is d rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxii. What is prob of sequence ixi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2*d**3 + 2*d**3 + ((-3 - 2*d + 3)*(-498 + 498 - 8*d) + 4*d**2 - d**2 - 2*d**2)*(2*d + 0 + 0).\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 10:00 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13385 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -5*n**7\/42 - 41*n**5\/20 - 27*n**3\/2 - n**2 - 1479*n. What is the second derivative of d(q) wrt q?\nAnswer: -100*q**3 - 246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -108*b - 13. What is the hundreds digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15219 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 258\/209 in -2\/3, -3, -1\/4, -2, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 9:38 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w + 3. Let f(p) = 3*p + 1. Let n(d) = 9*f(d) - 2*q(d). Let u be n(-3). Let y be (-24)\/(-98)*(-14)\/(-4). Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x = 3633*x + 314860 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -10. Let f = 447\/8 - 56. Which is the third smallest value? (a) 5 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/4 - n**3 - n**2\/2 + n + 3\/4 = 0. Calculate n.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95.72914t?\nAnswer: 95729140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -11157?\nAnswer: 11156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -14 + 0 - u + 29*u. Let k be d(-3). Let a = k + 195. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 481631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12149*s - 3 - 6068*s - 6074*s.\nAnswer: 7*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 6347*v = 0. Calculate v.\nAnswer: 0, 6347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 180637983 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -206.7391+-511376\nAnswer: -511582.7391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 121 (b) -3\/11 (c) 4 (d) 3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469920*h - 1105 = -469985*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28520434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(28\/(-56)). Suppose -5*p + 4 = 3*i - 17, -12 = -2*p - u*i. Put -14, -1, p in descending order.\nAnswer: p, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -13\/12*w**4 + 0*w**3 + 8*w + 0 + 0*w**2. Let u(m) = 2*m. Give u(n(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 184*a**2. Let v(q) = -3*q**2 - 17*q + 17. Let h(m) = -m**2 - 6*m + 6. Let z(o) = -17*h(o) + 6*v(o). Determine z(c(j)).\nAnswer: -33856*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 - 6*f - 3. Let b(a) = -a**3 - 7*a**2 + 12*a + 5. Give -3*b(o) - 5*l(o).\nAnswer: -2*o**3 + o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 37 - 41 = 0. Let c(j) = -j**3 + 5*j**2 - j - 1. Calculate c(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 9) + (11 - (4 + -6 + -2) - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 63, -14, -2 in ascending order.\nAnswer: -14, -5, -2, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.81 + -1. Let s = 0.28 + t. Let n = 0.59 - s. Put -1, n, 0 in descending order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 133.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/4)*v*v*v*v)**0)**(1\/4))**(-29) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2564*k = 2563*k - 4*q - 2, 12 = -4*q for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*s - 850*s + 11559 - 3 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 176*h**4 - 7560*h**3 - 16726*h**2 + 38537*h + 47526 = 0.\nAnswer: -3, -1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 35. Let q be 2\/b*-4*5. Let j be (-1 + (-10)\/(-4))*2. Solve j*w = -2 + q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 10*m + 2. Let z be q(-5). Let c = z - 124. Solve 4*x - 4 = 4*l, 0 = l + c*x + 2*x + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let w(t) = 128*t + 14. Let d(z) = 320*z + 34. Let k(r) = 5*d(r) - 12*w(r). Calculate x(k(s)).\nAnswer: 128*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1.0714935 days?\nAnswer: 0.1530705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -19. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1355025 and 1355025 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 3*g**2 - 18*g + 2. Let j be q(6). Suppose 0 = -j*x - 71 + 357. Calculate the highest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(750))\/(sqrt(60)\/(sqrt(250) + sqrt(10) - sqrt(10) - sqrt(10)) + sqrt(6)) + 5).\nAnswer: -8*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 417*c**5\/5 - 193*c**3\/3 + 280. Find the third derivative of y(t) wrt t.\nAnswer: 10008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 387*z**2\/2 + 9*z + 26. Let h be s(3). Suppose -14*d + h = -174. What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(128)) + 2)**2*-1.\nAnswer: -3209 - 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and -13\/4053.\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 11*m = -92, -43*m + 41*m = 4*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.1. Let z = j - -0.5. Suppose -118*g + 278 = 21*g. What is the closest to 1 in -1, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 150 = 126 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -1\/4*t**4 + 0*t + 1\/6*t**3 + 0 - 4*t**2. Differentiate c(n) with respect to n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - 425739043\nAnswer: -425739042.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7295*t + 83 - 258 + 5836 + 1376*t wrt t.\nAnswer: -5919","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 4. Let p(k) = 12205*k. Give p(n(g)).\nAnswer: -12205*g + 48820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 14*u + 21. Let i be j(-15). Let d = 29 - -21. Let z be (-7 - -2)*d\/(-10). Solve -5*v + i*o - o = -z, 0 = -5*o - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 13503624?\nAnswer: -13503626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: b\"What is the yth term of -12879, -103123, -348079, -825105, -1611559?\n\"Answer: -12893*y**3 + 2*y**2 + y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 2*x + x + 0*x - 4*x - 2 + 2 - 3*x + (-2*x + 0 + 0)*(2 + 1 - 4))*(4 + 2 - 5).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52.1 times -5144\nAnswer: -268002.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3718 + 1855 + 1903)*(f**2 + 3*f**2 - 2*f**2).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 + 4. Sort 3, -1, l in increasing order.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f - 850 + 186 = -122*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 4 - 3)*(-5 + 13 - 11 + (-5 - 1 + 4)*(0 + 2 + 1) - 2 + 0 + 6)*(0*t + 0*t + t) to b + c*t and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 7*x - 4*x - x. Is k(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 10*p - 9. Let x be c(9). Suppose -3*l = -x*b - b + 12, 2*l = -b + 7. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(8\/9)*q**(-1\/9)*q*q**(-16)*q\/q**(-2) assuming q is positive.\nAnswer: q**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1869 and 24?\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1736255 to four dps.\nAnswer: -0.1736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -8, -22, -40, -62, -88?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 100 = j + 5*y, 2*y - 52 = -3*j. Let q = j + 3. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a + 129*a - n = 4*n - 35, -2*a = -4*n + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 20*l**2 + 167*l - 3570. Calculate r(19).\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**0)\/(d*d**4))\/(d**(1\/5)\/d**(-1\/5))*(d\/((d\/d**(2\/5))\/d))\/(d\/((d**7\/d)\/d))*d*d**(-5\/2)*d*d**(-2)*d assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -24. Suppose g = -4*x + 35. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2700 - 9.\nAnswer: -2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18664.\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13338 is divided by 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7829*t*u**4 - 1132663*t*u**2 - 183*u**4 wrt u?\nAnswer: -187896*t*u - 4392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301 + 303. Solve 3*f + 3*u = 5 + 16, g*u = 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 5*t - 55. What is the greatest common factor of t and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:41 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8382732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185\/1182 + -2\/197. Suppose 4*r - 2*l - 2 = 0, 0 = 4*r - 4*l + l + 3. Suppose -h = -4*h - 3*g, -r*g = h. Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 552.5, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(75) + 6*-3*sqrt(75)) + 2 + -4.\nAnswer: -85*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 5. What is the remainder when 13 is divided by r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 3. Let z be m(0). Suppose -4*i = -0*i - z*d - 9, 3*d + 9 = 2*i. Let u = 2 + i. What is the smallest common multiple of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-138 - -100)*(-1 + 18\/4). Does 58 divide 4\/(-14) + (-53903)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10010?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 4*g**4\/3 - g**3\/3 - 253*g**2\/2 - 113*g. What is the derivative of k(n) wrt n?\nAnswer: 32*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021010102111 (base 3) to base 14.\nAnswer: -629244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c - 48. Calculate y(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -790*d**3 + 25602*d - 25602*d + (-d**2 + 5*d**2 - d**2)*(-1 + 2*d + 1).\nAnswer: -784*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 18840*b + 37692.\nAnswer: -3*(b - 6282)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 15*q**2 + 6*q - 140. Let i be f(15). Which is the biggest value? (a) -3 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 11*a - 10. Let q be z(6). Let u(m) = 5*m**2 - 9*m - 11. Does 15 divide u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2 - 5*y - 4. Let o be g(-5). Find the common denominator of (-27)\/o*(-2)\/(-30) and 45\/96*(-124)\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406540 is divided by 3836.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - p + 2. Let r be y(0). Suppose -3*s - r*s - 10 = 0. What is the least common multiple of 6*(2\/(-1))\/s and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -2168.\nAnswer: 119\/1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*m + 8119995, -3*j - 4*m + 8120004 = -j. Round j to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -95, -117, -149, -197, -267, -365, -497, -669?\n\"Answer: -u**3 + u**2 - 18*u - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*n - 4 = 171*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*o + 9660 = -161*o. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1860)\/13860 - (-1 - (-27)\/33*1).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 198, 327, 478, 651, 846?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - c**2 - 2*c**2 + 2*c**2)*(5*c - 4*c + 2*c).\nAnswer: -3*c**3 + 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.5524 decades to months.\nAnswer: 9306.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/68754 and -8\/34377.\nAnswer: 68754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 115575 divided by -1725\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -18. Let k(c) = 5*c**2 + 5 + 2*c**3 - l*c + c**2 - c**3. Is k(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 0.1, 1\/4 in decreasing order.\nAnswer: 0.5, 1\/4, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12)*(-20)\/(-3). Solve -o*i + 4*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -v - 22, -2*a = -3*v + a - 51. Let c be 2\/(-8) + 9\/v. Let x be ((48\/(-10))\/6)\/2. Is x bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r - 19. Determine o(6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -3 - 7 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.036 - 2.264. Let a = c + 3.3. Let j = -1 - -0.8. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 4*k. Let g be x(-2). Let t = 0 - -2. Suppose t*p = g*p - 16. What is the greatest common factor of 12 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006603 to five dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ohoiohhih?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u*u\/u**(-1\/6)))\/u*u*u\/u**(-2))\/(u\/u**(-2\/5))**(1\/52))**(3\/8) assuming u is positive.\nAnswer: u**(2189\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a century in months?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j**2 - 41*j - 44. Let g(o) = -3*o**2 - 14*o - 15. Let b(i) = -7*g(i) + 2*n(i). Is b(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and -3\/13870?\nAnswer: 13870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvvc when four letters picked without replacement from cvvcvcccvvccc.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192556 by 161.\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001023 a multiple of 1719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-8))\/((-62)\/(-496)) + 94. Calculate the highest common divisor of 1659 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q + 5. Let i be p(0). Let j = i - 3. Let m be 0\/(j\/(-2) - 0). Solve m = -2*x - 0*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**7\/280 + o**6\/60 + o**5\/40 - o**3\/6 - 4*o**2. Let r(y) be the first derivative of z(y). Factor r(f).\nAnswer: 3*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 276*v**3 + 144*v**2 + 888*v + 760. Let j(y) = 208*y**3 + 143*y**2 + 889*y + 759. Let u(h) = -4*j(h) + 3*q(h). Factor u(p).\nAnswer: -4*(p + 1)*(p + 7)*(p + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + -0.73. Let v = 174793 - 174793.570105. Let d = o - v. What is d rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -224\/255 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10372, 82068, 276682, 655672, 1280496, 2212612, 3513478, 5244552?\n\"Answer: 10243*i**3 + i**2 - 8*i + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 112132590 divided by -6\nAnswer: -18688765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905217*u - 1810435*u + 905213*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**5\/3 + 178*y**4\/3 + 124*y**3 - 2174*y**2\/3 + 2525*y\/3 - 300 = 0.\nAnswer: -5, 1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 17*b**3 - 43*b**2 + 44*b**2 - 5 + 1 - 62*b**3. Is 30 a factor of j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:14 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + ((-10)\/20)\/(5\/150).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:32 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082.861 < -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53730293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -93?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u**5 + 0*u + 6*u**5 + 0*u**5 - 4*u**5 + (40 - 6*u**3 - 40)*(5*u**2 + 2*u**2 - 5*u**2).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 144491 and -9.847278.\nAnswer: 144481.152722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/264, 0.355, 1?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(2595\/(-9))\/5. Is 172 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 154, 700, 1610, 2884, 4522, 6524, 8890?\n\"Answer: 182*x**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17955 divided by 7\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - z + 3 = 8*j, 4*j = 3*z - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2116821 to 3 decimal places.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35131 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 4*t**2 + 25*t - 1. Let c = 15 + 2. Calculate the remainder when z(-5) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223042 (base 6) to base 11.\nAnswer: -77277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/6)*y)\/(y\/(y\/(y*y*y**29*y*y))))\/(y*(y*y**(-19))\/y*y)**(-16\/5) assuming y is positive.\nAnswer: y**(-2617\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (101\/(-5))\/((-396)\/90) and 31\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/1638 and 123\/728.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*z + 2*z - 51*z + 39 + 32 wrt z.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**7\/1008 + a**5\/2 + 21*a**2. Let p(j) be the third derivative of s(j). Let o(l) = -12*l**2. What is o(p(i))?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(2)))**2 + (sqrt(2) - (sqrt(128) + sqrt(128) + 0 + sqrt(128) + sqrt(128))**2) - (((sqrt(2) + 1)*-1 - sqrt(2)) + -2).\nAnswer: -2042 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*j**3 + 2*j**2 + 85*j**3 + 0*j**2 - 2 - j to k + m*j**3 + g*j**2 + z*j and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcncc. What is prob of picking 1 n and 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**3*g**3*s + 14*b**3*g*k**2*s**3 - 3*b**2*k*s**3 + 2*b*s**3 - 2*g**3*k*s**3 + 7*g**2*k**2*s wrt b.\nAnswer: -54*g**3*s + 84*g*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t**4 - 9*t**4 + 4*t**4 - t**4 + 5*t**4 - 3*t**4 + 0*t + 0*t + t**4 + (-2*t**3 - 2*t**3 + 5*t**3)*(2*t + 1 - 1).\nAnswer: t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*j + 5*f, j - 31 = -j + 3*f. What is the derivative of 31*t**4 + j - 54*t**4 - 36 wrt t?\nAnswer: -92*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928709*r - 463287*r - 465426*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -244, 3, -3, 0, -5 in ascending order.\nAnswer: -244, -5, -3, 0, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-936 + 11)\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from irrpkkriirikrr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*g**2 - g**2 + 37704*g - 37684*g to y*g**2 + m + v*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/30 + 3*8\/(-110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 bigger than -23.3983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01301554 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -17. Let z be u*1\/(6\/333). Let d = 2 - z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59873078 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 a = -3\/22813 + 13003479\/524699. Which is greater: a or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16634171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93718 - -134010. What are the prime factors of d?\nAnswer: 2, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j. Let v(z) = 2*z**2 + 9*z - 19. Let k be v(-10). Let y = 89 - k. Let s(r) = 21*r. Give y*s(m) + 9*a(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 15, -4*s = -10*h + 5*h + 27. Solve 5*b + 2 = h*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/7260 and 125\/242088?\nAnswer: 13314840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h. Suppose -21 = -5*w + 14. Let y = w + 0. Let a(p) = p**2 - y*p**2 + 3*p**2. Determine a(s(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0, 4, -9 in ascending order.\nAnswer: -9, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8\/q*q*q)\/q*q*q**(-4\/11))**(3\/4)\/((q**(2\/3))**20)**(-2\/137) assuming q is positive.\nAnswer: q**(120655\/18084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 420141721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 2*f**2\/3 - f\/3.\nAnswer: -f*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265\/(-7590)*(-6)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnu when three letters picked without replacement from {v: 3, u: 10, c: 2, n: 3, g: 2}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2517377 - -2517376.96199998. Let o = 0.038 + l. Round o to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 13. Suppose -j + 437 = c. Suppose 2*z - 2*r = 188, -z - 3*z + 5*r = -j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Suppose 0 = 5*y - q*z - 5, -5*y = 7*z - 2*z - 15. Solve 0*p + 1 = -5*t + p, p = y*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 80*m = -83*m + 6, 0 = -4*b - 2*m + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - 0.4144.\nAnswer: -31.4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.5. Let g = 7673 + -7673. Which is the closest to g? (a) t (b) 1 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 6*g + 5 + 2*g**3 + 1 to the form j + l*g + b*g**2 + m*g**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14527 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130929 + 140602 = 3538*q + 101707 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 - 143266*i - 98744304 = 0.\nAnswer: -70937, -696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -21944, -4 in decreasing order.\nAnswer: 19, -4, -21944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j - 13. Suppose 4*i + 4*x = 0, 3*i - 7*x - 8 = -8*x. Suppose -r + 47 = 2*r - 5*d, -d - 4 = 0. Let y(p) = -5*p + 6. Calculate i*t(a) + r*y(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from eezzzgez?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1639151375 and -1639151376 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6721 - 4216. What is the remainder when r is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285461357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 0.169.\nAnswer: 5.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33205241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 11*v - 9 = 0. Which is the biggest value? (a) 0.11 (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = c - 535. What is the remainder when (580\/c)\/(2\/(-6) - 0) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67\/(-134)*2\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7440 and 30752?\nAnswer: 461280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.4. Let r = 19.9 + -14.9. Which is greater: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3044146 and 6030.\nAnswer: 3050176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 144*t + 33300.\nAnswer: -4*(t - 75)*(t + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*u**2 + 2*u**2 - u**2)*(-4*u**2 + 3*u**2 - 19*u**2)*(2 + 0 - 1) in the form z*u**4 + b*u**3 + h + k*u + n*u**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17599, 15047, 12495, 9943, 7391?\nAnswer: 4839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47445990 by -3.\nAnswer: -15815330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1809 - 31*q**3 + 5*q**3 + 4752.\nAnswer: -26*q**3 + 6561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 1:49 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16911600 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(756)*-5)\/((-2*sqrt(49))\/sqrt(7) - sqrt(7)) - ((sqrt(45)\/sqrt(5))\/sqrt(3) - 4*(-1 + sqrt(3) - sqrt(3))).\nAnswer: -4 + 26*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 7*x + 11. Does 38 divide t(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*a + 1238, -268 = -s - 5*a - 25. Is -3 + s\/5 + (-4)\/(-10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x - x)*(492321*x**2 - 492321*x**2 + 2037*x**3).\nAnswer: -6111*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1202\/90*5 + 4\/18. Let y = -70 + n. Let p be 2\/4 + (-1 - 1). Which is the third biggest value? (a) p (b) -2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 30384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9254, 10, -4 in decreasing order.\nAnswer: 10, 1, -4, -9254","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + ((-1 + sqrt(1539) + sqrt(1539))*4 - (sqrt(152)\/(sqrt(8) - -6*sqrt(200)))**2))*3.\nAnswer: -2940\/961 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*y + 19 - 19)*(2*y**3 - 2*y**3 - 9*y**3).\nAnswer: -675*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + -4)*(17 + 6820\/(-396))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 24 = 4*o, 186*o + 62 = 5*z + 178*o for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95 - (-17 - -38)) + 4?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38998934 to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 - 18*s - 1. Determine z(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = 67 + 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 + 17*c + 9. Let o(f) = 1 - 4*f + f**2 + 5 - 8. Let h(d) = 9*o(d) + 2*v(d). Find the second derivative of h(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 196. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*h - 126, 4*y + 0*y - 3*h = 131. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 6*u - 20*u - 79*u in the form r + s*u and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -154*o - 945. Calculate p(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000169894486 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 100\/(-400) - (-330)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -10. Let z(k) = -13*k**2 - k**3 + 13*k**2 - 3 - 2*k. Calculate z(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -552323*t**2 + 588991?\nAnswer: -1104646*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 + 50 = 0. Let j(r) = 2*r**2 - 12 - r - 4*r**2 + o + r**2. What is j(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:51 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoozzhp. What is prob of sequence ph?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:36 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33273*m**5 + m**4*v**3 - 4*m**2*v**3 + 114*m**2*v + 2*v**3 - 10*v wrt m.\nAnswer: 1996380*m**2 + 24*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -21, -95, -219, -405, -665, -1011?\nAnswer: -1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, t: 2, u: 5, e: 9}. What is prob of sequence tuy?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqffj. What is prob of sequence fhqj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 1001001010100101010?\nAnswer: -1001001010100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 14*t + 16. Let l = -43 + 71. Let h = -17 + l. What is the least common multiple of h and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1083 rounded to three decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((sqrt(1152) - (sqrt(1152) + 1)) + -1 + sqrt(1152))**2.\nAnswer: -192*sqrt(2) + 2311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.02 (b) 0.045 (c) -12 (d) 134 (e) 1\/22 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(108) + sqrt(108))\/sqrt(9) - (sqrt(3888) - sqrt(48)))\/(sqrt(4) + sqrt(24)\/sqrt(6)*1 + 3*sqrt(400)))**2.\nAnswer: 1083\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 2\/21, -1\/8, 1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2288913.220314 + 2288917. Let o = -3.21 - 0.57. Let t = o + w. Round t to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-28) - 4\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/287)\/(38577\/527219)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5947911 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20011?\nAnswer: 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 386810\/3 + -127651. Let x = p - 1263. Calculate the common denominator of x and -131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 4 = 9*d. What are the prime factors of d\/4 + 31\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - (-4 + 2)) + (-8 - 0). What is the smallest value in z, 1\/4, -0.5, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1568 and -101\/95896?\nAnswer: 18795616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120364124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 35555?\nAnswer: -35552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 + 6.5. Let g = y + -15.9. What is g rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, 1\/5, 5\/4, 14, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2020167, 2019509, 2018849, 2018187?\nAnswer: 2017523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259685831.\nAnswer: 1873, 138647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035335 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1643 bigger than 175134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/13456 and -39\/2?\nAnswer: 13456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.043 - 46.957. Let m(j) = -4*j - 12*j + 45 + 34. Let f be m(5). Which is bigger: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-311)\/1555)\/(1\/285)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36768225, -36768226, -36768227, -36768228, -36768229, -36768230?\n\"Answer: -u - 36768224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**2. Let t(s) be the first derivative of -14*s**3\/3 + 37. Calculate t(o(m)).\nAnswer: -1134*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f - 5. Let q(t) = 12*t - 12. Let j(k) = -5*g(k) + 2*q(k). Let s(x) = 1. Determine -j(l) - s(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + t - 5, -2*w + w = -3*t + 15. Let u be 15\/6*16\/5 - w. Solve 5*d + 7 = -u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2914390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/20 + 7*d**4\/12 + 5*d**3\/3 + 12*d**2 + 2*d - 72. Let a be s(-6). Solve -2*r + 10 = -5*g, a*r - 2*r + g - 6 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7698480 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 2 u when four letters picked without replacement from ufzzuzzzuzzuzz?\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4.571+-28190\nAnswer: -28185.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from mmllmmmmml.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 i when four letters picked without replacement from ppbipkkkikbphikki.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5 + (0 - 2 + 3)*(-4 + 4 - 2))*(18 - 18 - 4*a) in the form z*a + y and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4.9. Let z = -0.15 + 0.55. Sort 9, z, b, 4.\nAnswer: b, z, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d, 2*c - 39 = -2*d + 11. Let f = 96 + -47. Calculate the remainder when f is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98748050*i + 44724733 wrt i?\nAnswer: 98748050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {y: 1, o: 7, e: 7, z: 1, s: 1}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 27. Let j = -8 + f. Let x = -9.99999978 - j. Round x to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 4*g**2 + 6*g - 6. Let k be c(-4). Differentiate -48*q**2 - 46 - 52*q**2 + k*q**2 wrt q.\nAnswer: -132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 1640 = -382. Solve -2*x = -5*u - q, -3*x = 32*u - 31*u + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*u + 872*u**2 - 28*u - 9*u to the form l*u + w*u**2 + v and give w.\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3770 and 770510.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -49 - (815 - 874)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + 2*r + 2. Let v be j(-1). Solve v*c - 10 = 0, 5*b - c = c - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - (-3 + 2)\/1. Let p = j + 7. Suppose -3*n + 13 = 2*n + 2*s, 14 = p*n + 3*s. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*o**3 + 35*o**3 + 91*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i - 5*p + 1037, 4214 = -4*i - 2*p. Let y = 169\/12 - -12221\/12. Let b = i + y. Find the common denominator of b and 68\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.171 - 0.1742. What is u rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k + 11. Let v(f) = 5*f - 11. Let t(g) = 3*d(g) + 2*v(g). What is the smallest common multiple of 5 and t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -18. Suppose -30 - q = -2*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2497 - -2496.99997647. What is y rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324174 by 1.\nAnswer: 324174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11*1 + -45 + 42. Let y(d) = 10*d + 13*d**3 - 4*d**3 - a*d**3 + 6 - 12 - 8*d**2. Give y(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6 - (-11 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(11) + (sqrt(275) + (sqrt(275) + 4 - sqrt(275)) + sqrt(275))**2 + sqrt(275).\nAnswer: 86*sqrt(11) + 1123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:43 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + -0.03. Let z = 4.10232075 - 4.19232. Let j = z - t. What is j rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3083 and -0.4848.\nAnswer: 0.63426384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 2*f**3 - 2*f**3)*((4*f + 0*f - 3*f)*(3*f - 4*f + 3*f) - 9*f - 7*f**2 + 9*f).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, -15, -70, -179, -360, -631, -1010, -1515?\n\"Answer: -3*f**3 + 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-10)\/(-2)*(9 - 8). What is the nearest to -1 in d, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676958 by -338479.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 68*s + 34. Let n(i) = 33*i + 18. Let l(y) = -4*f(y) + 9*n(y). Differentiate l(c) with respect to c.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -33. Let p(f) = -4*f + 13. Let x(q) = 2*q - 7. Determine v*x(i) + 6*p(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0 - 3 - 5*k + k. What are the prime factors of u(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/21 + 32\/14. Suppose 0 = 3*v - 3*w, -3*v - 2*v - l*w + 21 = 0. What is the common denominator of -7\/10 and ((-102)\/(-72))\/(0 - 1\/v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 7*w + 2*w)*(-5 - 521*w - 1 + 2 + 2 + 2).\nAnswer: 521*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*o + 4654 = -4*w, w - o = -1164. What is w rounded to the nearest ten?\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1386, -1612, -1828, -2028, -2206?\n\"Answer: i**3 - i**2 - 230*i - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - t**2 - 2*t**2 + (2 - 2 + t)*(4 + t - 4) - 2*t**2 + 5*t**2 + 0*t**2 + (2*t - 2*t + t)*(2 - 2 - t) + 3*t**2 - 7*t**2 + 0*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004273 rounded to five decimal places?\nAnswer: 0.00427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 6*q**2 - 8*q + 1. Let m be s(7). Let o be (1 - 0) + m\/(-6). Suppose -3*r = -o*r - 32. Calculate the highest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13))**(-1\/13)*(c*c**12)\/(c\/c**14) assuming c is positive.\nAnswer: c**(4396\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*b**3 + 292 + 228*b**3 - 451*b**3.\nAnswer: 2*b**3 + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276629.13 minutes to hours.\nAnswer: 4610.4855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93.4881 millennia?\nAnswer: 1121857.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 165*x + 6611. Calculate a(64).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4842\/15)\/((-13)\/(-5)). Let g = m + -20083\/156. Calculate the common denominator of 1*(((-234)\/132)\/3 + 0) and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147091762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, s: 1, j: 1, m: 1}. What is prob of sequence vm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 88 - 88 - 26*o in the form l*o + d and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2271*b**2*n**3 + b**2*n**2 + 9092*b**2 + b*n**3 - b*n**2 + 6*b*n + 36*b - 5823*n - 21 wrt b.\nAnswer: 4542*n**3 + 2*n**2 + 18184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -13*i**2 + 0 + 0*i + 1\/24*i**4 - 7\/6*i**3. Let b be f(7). Solve -c - 18 = w - 6*w, w - 3 = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2004 and 259852.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2209+-6.8257\nAnswer: -2215.8257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 4*b. Let s be ((-1)\/3)\/((-10)\/90). Suppose 2*p - 5*p + 70 = 5*l, 0 = s*p. What is the remainder when l is divided by y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20939, -20626, -20313, -20000?\nAnswer: -19687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -65. Let x = -24 + 40. Let a be (x\/18)\/(6\/9). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Let h = 9 - a. Solve 16 = 5*q - h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519608581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -32, 1242, -1.\nAnswer: -32, -15, -1, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - d**2 - 31*d**2 - 9*d**2 - 3*d.\nAnswer: -48*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8725 (base 9) to base 3.\nAnswer: -22210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29036 and 36176.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*t - 4 + 3*t)*(-3*t**4 - t**4 + 3*t**4).\nAnswer: -9*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-100 + 2) + 3. Let c = 14 - y. What are the prime factors of c?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 64 + 30)*(-4*j**2 + j**2 + j**2)*(4 - 2 - 4).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p - 2. Let q(v) = 160*v**3 - 23*v**2 + 3*v + 4. Let x(f) = q(f) + 2*u(f). Find the third derivative of x(h) wrt h.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*q**2 + 27*q**2 + q + 19*q**2 + (-q - 5*q + 4*q)*(2*q - 3*q + 2*q).\nAnswer: 5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.142 - -0.257. Let h = j + -0.12185. What is h rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 634424 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + 142*j**2 - 142*j**2.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnjvjjjjjjn. Give prob of sequence cn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1929 divide 18713229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.3 + -15.28. Let i = w + -0.02. Let l = i + 5. What is the third smallest value in 2, l, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 13 + 46 = 0. Let d = q + 97. Suppose 4*r - d = -2. What is the remainder when 26 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*c**3*o**3 - c**3 - 4*c**2*o**3 + 23*c**2 wrt c.\nAnswer: -1476*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407257.\nAnswer: 407257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 + 6*m**4 + 6*m**3 + (-6*m**2 + 0*m**2 + 4*m**2)*(-2*m**2 - 10 + 10) - 2*m**4 + m**4 - m**4 as s*m**2 + l*m + w*m**3 + x + v*m**4 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -106*s + 415. Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h - q - 537, 0 = h + 5*q + 117. Let t = h - -765\/7. Solve 2\/7*u**5 + 4\/7 - 2*u - 4\/7*u**4 - 4\/7*u**3 + t*u**2 = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488, -494, -504, -518, -536, -558?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/18*20\/(-35)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**3 + 31*z**2 - 5*z + 7. Give b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/13))\/m**(5\/4)*((m**(1\/5)*m*m)\/m)\/m**2 assuming m is positive.\nAnswer: m**(-233\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 31 + 10 + 140*k**3)*(-2*k - 2*k + 2*k).\nAnswer: -280*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1921 - 1921 - 3*o + 351*o**2 wrt o?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**10\/30240 - x**9\/7560 + x**7\/1260 + x**6\/720 + x**4\/12 + 3*x. Let p(m) be the third derivative of o(m). Factor p(g).\nAnswer: -g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 8)\/((-2)\/2). Solve d*c + 5*c = -10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6705 and -11217?\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 12, j: 7}. What is prob of sequence jz?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/18 + (-12 - -11). Let h = 695953\/4185 - 5135\/31. Let c = h - -2\/135. Put 5, c, a in decreasing order.\nAnswer: 5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 18. Suppose -v - 4*p + 482 = 0, 990 = a*v - 2*v - 5*p. Round v to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 4. Let f be b(-5). Suppose -d - 10 = -13. Let x be (-21)\/(-4) - 3\/12. Put x, f, d in increasing order.\nAnswer: f, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j + 1. Suppose 8*k - 3*k + 20 = 0. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -21130103320?\nAnswer: 21130104011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23867 - 20165. What is the highest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 8892*g**2 - 9445*g**2 + 0 - 2)*(-9 + 3*g + 9).\nAnswer: -1659*g**3 - 6*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**25\/(z**29*z) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - m - 4658, -3*m + 15 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, -4, -24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/2, -1.26, 4\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 134.7. Let t = -4.300492 - w. Round t to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*j**3*z**2 + 2*b**2*k*z - 7*b**2*z + 9*b*j**3*z - 11*b*j**2*z + 1498*b*j*k*z**2 wrt z.\nAnswer: 8*b**2*j**3 + 2996*b*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9956963, -9956959, -9956953, -9956945, -9956935, -9956923?\nAnswer: -9956909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:56 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkwwkjwwsjwkskkkwj. What is prob of sequence jk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 28\/(-20)) + 69\/15. Which is the nearest to -0.002? (a) 1\/5 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 4:48 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 81*c + 42*c + 4*c**2 + 38*c - 2. Calculate the lowest common multiple of o(-3) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/2 - 7*m**2 + 6*m. Let x be o(-10). Let k = x - 11. Solve 3*j - k*j = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rltr when four letters picked without replacement from {d: 2, l: 1, p: 1, t: 5, r: 9}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107360 and 1440?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*r + 14, 3*r - 4*h + 7*h = 15. Let d be 29\/r - (-6)\/18. Let x = d - 3. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-495 + 495 - o)*(-2*o + 4*o - 3*o)*(o + 7*o - 3*o) as t*o**2 + y*o + f*o**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-47 + 46)\/(234\/(-108))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15 + (-144)\/585. What is the second biggest value in 1\/6, 0, 1\/4, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100 - 111110010000?\nAnswer: -111100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*l**2*p - 2432*l**2 - 3*l*p**3 + 20103*p - 423 wrt p?\nAnswer: 23*l**2 - 9*l*p**2 + 20103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 3*r - 18 - 16 - 15 - 21 - 72.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2\/2 + 865*c - 34125\/2 = 0.\nAnswer: 21, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.3. Let d = 0 - r. Suppose -3*a - 10 + 3 = -y, -3*y + 11 = -4*a. Which is greater: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -70*n - 7. Let c be y(-3). Suppose -3*p + 5*p + 2*i + 2 = 0, 5*p - 5*i + 35 = 0. Is 1\/4 - c\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 16*x + 12. Let b(s) = -4*s + 4. Let a be b(5). What is the units digit of h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21323 (base 5) to base 11\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*10\/(-140)*0)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i - 510. What are the prime factors of i?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 104235?\nAnswer: -104232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218046*s**3 + s**2 + 223651*s?\nAnswer: 1308276*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34642511*r**4 + 20286421*r wrt r?\nAnswer: 415710132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12807783 - -12749238.73. Let f = i - -58806. Let t = 263 - f. Round t to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -176009*m**3 + 352052*m**2 - 68*m = 0. What is m?\nAnswer: 0, 34\/176009, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362 + 368. Suppose 0 = 3*u + 5*r - 22, -5*r + 0 = -u - q. Factor 3\/2 + 0*j**2 + 3*j - 3*j**3 - 3\/2*j**u.\nAnswer: -3*(j - 1)*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 12*f**2 + 11*f - 15. Let r(z) = 0*z + 79 - 41 - 2*z. Let y be r(13). What is the hundreds digit of b(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.5 + 0.079.\nAnswer: 24.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 1, w: 1, i: 1, r: 2}. What is prob of picking 1 w and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23800791151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 529004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5357853940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14980 + 374494\/25. Sort 13, u, 4\/3, 1\/3 in ascending order.\nAnswer: u, 1\/3, 4\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86 + 21?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 66?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3742610 (base 10) to base 8\nAnswer: -16215622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 12. Let o be a(6). Solve o + 8 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33612 (base 7) to base 13\nAnswer: -3b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-6 - ((-32)\/8 - -7)) + 1). Solve 4*n = 5*n + 3*d - 3, -2*n + f*d - 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > -821\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.23 + 0.23. Let q = 2 + d. Let n = -8 - q. What is the closest to n in 5, -1\/2, 3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28611 + -10375899?\nAnswer: -10347288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 3550 = -1537 + 650. Suppose 3*i = 5*c - 1311, 3*c + 70 - 843 = -5*i. What is the highest common factor of c and z?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 24*b**2 - 218*b - 4159. Give a(-27).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let k(n) = 3*n - 2. Let y(v) = k(v) - 2*o(v). What is y(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:41 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5646362013028 minus -3?\nAnswer: 5646362013031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.22, -16, -0.3 in descending order.\nAnswer: 2, -0.22, -0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = -q, 5*q + 10 = 2*g. Suppose g = 4*p + 7 - 131. Let z = -17 + p. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 + 4*l - 16. Calculate a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24360387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*u + 6376*u - 3286*u + 8632*u - 407*u + 7546*u)*(-2 + 2 - 2*u).\nAnswer: -37768*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35877\/3052 - 4\/763. Let r be 0 + -1 - (-128)\/8. Calculate the common denominator of r\/(-12)*(-266)\/30 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 25) + 42 + -55\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3392 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 - l + 4. Let c be b(-4). Solve -5*w + q + 16 = 0, 5*q + 20 = c*w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53708?\nAnswer: 2, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 2*v - 6. Let c be (0\/3)\/1 + 4. Suppose 0 = c*t - 12, h - t + 5 = -2. Let u(o) = o**2 - 1. Calculate h*u(i) + q(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1207 divide 211340635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30626.39l in millilitres?\nAnswer: 30626390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(1573) + (sqrt(1573) + -1 - sqrt(1573))**2.\nAnswer: 6 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 142803*b**2 - 142811*b**2 - 142789*b**2 + 428403*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/2)\/q*(q*q\/((q*q*q*q**4*q)\/q*q))\/q*q*q*q**(-1\/3)*q*(((q**(3\/4)\/q)\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l\/(((l*(l\/(l*(l\/(l**21*l))\/l))\/l*l)\/l)\/l*l))*l\/((l*l**(-1\/26)*l)\/l)*((l**(4\/5)*l)\/l)**(-2\/79) assuming l is positive.\nAnswer: l**(215857\/10270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397d (base 14) in base 8?\nAnswer: -136613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**11\/u**(-22\/7)*(u\/(u*u\/((u*u**(-8)\/u)\/u*u)))**(-3\/38) assuming u is positive.\nAnswer: u**(3951\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -7\/15 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 12*f**2 - 18*f - 14. Let v be r(10). What is the first derivative of -3*t**3 - 5*t**3 + 233 + t**4 + 5*t**4 - 3*t**3 + v*t**3 wrt t?\nAnswer: 24*t**3 - 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 12:19 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-555)\/(-153846)*-3058 + (-2 - -13)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 11) in base 16?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -155718.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - b**2 - 2 + (-4 + 4 + 11*b**2)*(1 - 6 + 2) as c*b**2 + u*b + h and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -8. Let i(d) = -d**3 + 5*d**2 - 3*d - 1. Calculate the remainder when o\/4*48\/9 is divided by i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -52, -67, -84, -103, -124?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1365 + -1353. What is the nearest to -0.7 in -2, a, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -57\/1525993?\nAnswer: -57\/1525993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 4627?\nAnswer: 4627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1064 = l - 4*z, 5*l - 1312 = -2*z. What is the highest common divisor of l and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -86764.03563 and 5.\nAnswer: -86759.03563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 12*o + 120. Let s be a(25). Suppose 0 = -18*d - d + s. Calculate the lowest common multiple of d and 99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64142605?\nAnswer: 5, 223, 57527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 17*h - 40. Let r be u(-19). Is (0 + 2)*(-2129)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1371 + 1042. Let y = a + 332. Solve -y*s + b - 3 = 0, 0 = 3*s - 0*b - 4*b + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v + 135. Suppose 25 = f + m - 28, -3*f + v = -3*m. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)\/(p*p*p**(1\/12)*p))**(-41) assuming p is positive.\nAnswer: p**(6929\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.2 - 1.2. Let x = 1983 + -1979. Let c = 4 + -3. Sort c, x, -5, h.\nAnswer: -5, c, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23*o**2 + 4*o - 4. Let x(u) = -12*u**2 - 2*u + 2. Give 4*i(d) + 9*x(d).\nAnswer: -16*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15288348921 and -1194.\nAnswer: 15288347727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -60, -83, -126, -195, -296, -435?\n\"Answer: -w**3 - w**2 + w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*c**3 - 6*a**2*c**2*h**3 + 178*a**2*c**2 + 2*a*h**2 - 92655*c**3*h**3 + 206*c**3*h wrt h.\nAnswer: -36*a**2*c**2 - 555930*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3 - 3) + (47 - 51)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(3) - (sqrt(3) - (sqrt(243) + -2))) + sqrt(3) + sqrt(3))**2 - -3*(1 + sqrt(3))).\nAnswer: -41*sqrt(3) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let p(k) = 16*k**3 + 3*k**2. Calculate -6*o(g) + 2*p(g).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 17224*w - 1 = 17222*w, 0 = b - 3*w + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043966 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1715647 and 0.5.\nAnswer: 1715647.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43030 + -4?\nAnswer: 43021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401202 (base 5) in base 15?\nAnswer: 1741c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 560*d**3 + 48*d**2 + 48*d. Let o(v) = -59*v**3 - 5*v**2 - 5*v. Calculate -48*o(b) - 5*u(b).\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 6*a + 5*a)*(646 - 47*a - 646) to s*a + k*a**2 + x and give k.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 - 5 = -3*u, 4*u - 18 = 5*w. Let -1\/3*c**u - 5\/3*c + 1\/3*c**3 - 1 = 0. What is c?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 less than 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000100000 - 11000?\nAnswer: -1011000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, -167, 14, -20, -1 in descending order.\nAnswer: 17, 14, -1, -3, -20, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 1f4667?\nAnswer: -1f4660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6 - (-1 + -2)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2 + 5370*g - 5368 = 0.\nAnswer: 1, 2684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24402316 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 m(r) = 22*r**2 + 12*r - 4. Let v(u) = 50*u**2 + 27*u - 9. Let i(d) = 9*m(d) - 4*v(d). Let p(x) = 3*x**2 - 6303*x. Give p(i(j)).\nAnswer: 12*j**4 + 12606*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-s**2 + 1 - 1 + (-2*s + 2*s + s**2)*(-1 + 2 + 1) + 0 + 2*s**2 + 0).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10578846 (base 10) in base 11?\nAnswer: -5a76053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 0.032, 0.8, -4.\nAnswer: -5, -4, -0.1, 0.032, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {n: 1, b: 2, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-9) + (2 - 32\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 22114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3*s - 3*s)*(4*s**2 - 759 + 759 + 48*s)*(4*s - 4*s - s).\nAnswer: -8*s**4 - 96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*d - 156 wrt d?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24008 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1430 by -286.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(15\/6) - -13. Suppose -4*d + 3*h - k = -3, -2*d + h - 8 = 0. What are the prime factors of d\/((-2)\/(48\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 114897957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 19. Let x be m(-19). Let u be (-5 - x) + (1606\/30)\/11. Let i(l) = -l + 5. Let c be i(4). What is the third smallest value in -3, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -779579 or -779580?\nAnswer: -779579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 85, 104, 141, 202?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from pmccgwgw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2451 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.11 - -8.11. Let a = 15 + -13. What is the nearest to a in 5\/2, p, 0.3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1886342 divided by -208\nAnswer: -943171\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3983542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -70*i - 625. Let z be p(-9). Let l(u) = -4*u**3 - 6*u**2 - 5*u - 1. Let n(a) = a**3 + a - 1. Give z*n(c) + l(c).\nAnswer: c**3 - 6*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66034 and 1205?\nAnswer: 330170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*o + 83*o - 100 = 0. Calculate the remainder when 159 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 31814568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185 or -24963\/134?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.112 + 0.012. Which is the second smallest value? (a) q (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 2, g: 9, u: 1, w: 2, x: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7553080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1676*w - 145 - 240 = -1711*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 - -0.33. Which is the nearest to -3\/2? (a) -0.2 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1712951 is divided by 128?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1546 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 - (-228)\/30. Let w = -262\/45 + k. Let f be 0*1*1\/(-2). Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 3. Let r(w) = -33*w + 28. Give 6*j(k) - r(k).\nAnswer: 21*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by -114.\nAnswer: 67\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111.2 + -113.193. Let t = g - -2. Round t to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23761, 23469, 23175, 22879, 22581, 22281, 21979?\nAnswer: 21675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 s when three letters picked without replacement from sdlyhyz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.2 (b) 2 (c) -1\/3 (d) -1\/140 (e) 8 (f) -3 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*g**5\/5 - 111*g**4\/5 - 711*g**3\/5 - 129*g**2\/5 + 270*g - 408\/5 = 0. Calculate g.\nAnswer: -4, -2, 1\/3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 - (5 + -15 - -4) - 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c - 1. Let v(s) = -5367*s + 75250. What is the lowest common multiple of v(14) and i(-1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:03 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2687720378 + -2687720318.99999741. Let o = -60.08 - -1.08. Let m = o + r. What is m rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + -139. Calculate the least common multiple of ((-55)\/(-20) - m) + (-279)\/(-12) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4033 + -4029. Is c bigger than 3\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 132. Solve 0 = 2*r - r + s - o, -2*r + 5*s = 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2\/11, 0.5, -0.2 in decreasing order.\nAnswer: 0.5, 2\/15, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257249209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-27) + 2)\/((-480)\/720) + (2 - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28237, -25847, -21855, -16255, -9041, -207?\nAnswer: 10253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*d + 38. Suppose -2*j + 2*j**d - 1\/2*j**3 + 0 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 5\/3 (c) 1\/3 (d) -28 (e) 1\/40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4526033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/20 - 2\/(-8) - 4704\/(-70). Solve 476 = -r*b + 141 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 21623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69308 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/(-12) + (-3)\/(-36). Suppose -c = 3*y - 7, -y - 2*c + 7 = d*c. Solve -3*w - 1 = -j + 3, 4*j - y = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 1, 2, -703, -1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 17*h**2. Let t(v) = 36*v. Calculate t(x(p)).\nAnswer: 612*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-4))\/(35\/(-70)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 6:04 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2874724778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f, 27 = -x + 3*f - f. Let v = -134 - -143. Let i = v - x. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 595\/(-34)*(-16)\/40.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4106 divided by 4106?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.756665 minus 216.6291?\nAnswer: -217.385765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -5*x**4\/4 - 45*x**3 - 420*x**2 + 980*x + 45. Solve l(i) = 0 for i.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2*(-24)\/40. Let o = -230 + 446. Let t = o - 216. Sort -0.1, -2\/7, t, m in descending order.\nAnswer: m, t, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 372*p = -371*p, 0*p + 4*p + 36 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/5924?\nAnswer: 1\/5924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*f**3 + 1755*f**2 - 48070*f - 217800.\nAnswer: 5*(f - 22)*(f + 4)*(8*f + 495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 10*z**5 - 2*z**5 - 12*z**3 + 4*z + 4*z**4 + 3*z**2 - 2*z**2 - 5*z**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/171)\/2)\/(55\/495)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 4928\/272 + (-8)\/68.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 149*c**2 - 111 + 149*c**2 + 15*c**3.\nAnswer: 15*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13.4 - -228444954\nAnswer: 228444940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Suppose 3*t + t = -k*r + 20, 0 = 3*r. Suppose -o = t*w + 27815, -4*w = 4*o + 110746 + 466. Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 15*t**2 + t - 13. Let b be f(15). Let x(w) = -1 + w + 6*w + b - 4*w. Let l be x(5). What is the greatest common divisor of 48 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4.6, -5, -3\/61, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 4*z**5\/5 - 114*z**4 + 5484*z**3 - 98496*z**2 + 746496*z + 10219. Factor i(n).\nAnswer: 4*(n - 48)**2*(n - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4736100, -9472197, -14208294, -18944391, -23680488, -28416585?\nAnswer: -33152682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/756 and -1\/2376.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1109781068 and -0.2?\nAnswer: 1109781067.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/9, 4, 2\/17, 9, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2\/17, 45 in ascending order.\nAnswer: -2\/17, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45532717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 145832881 a multiple of 2839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29a + -26?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 15*t**2 + 34*t. What is r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10 = 5*s, 2*n - 14 = n + 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9963159 equal to 10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 3*u**3 - 3*u**3 + (-5*u**2 + 2*u**2 + 2*u**2)*(-3 + 2 + 4)*(5*u - u - 3*u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j**2 + 9*j**3 + 2 - 15*j**2 as h*j**3 + k + p*j**2 + b*j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30711559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(567) + 3 - (sqrt(847) - (1*sqrt(847) - sqrt(847) - sqrt(847) - sqrt(847)))*-3) + 4)**2.\nAnswer: 1890*sqrt(7) + 127624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648\/11 - -4558\/77. What is the nearest to -0.021 in w, 2, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43168610 rounded to the nearest one hundred thousand?\nAnswer: -43200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 283, 567, 855, 1147, 1443, 1743, 2047?\n\"Answer: 2*h**2 + 278*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3019*s - 11548. What is the thousands digit of c(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -588, -882, -1176?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9589518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:15 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4519 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let u(j) be the second derivative of -2*j + 0 + 0*j**2 - 7\/12*j**4 + 0*j**3. What is u(c(b))?\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2. Let s(c) = -2*c**2 - 7*c. Let v(w) = -2*w**2 - 6*w. Let k = 55 - 61. Let n(d) = k*s(d) + 7*v(d). Give t(n(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 6556900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3 - 6. Let r = -15.9 + 16. Let k = 1.9 + r. Sort d, k, -8 in increasing order.\nAnswer: -8, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 23472954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*f - 3*m, -5 = 5*f - m - 26. Put f, 3, 7 in descending order.\nAnswer: 7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 - 9 = 0. What is the lowest common multiple of h and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114273750 by 116250.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 859, 1096, 1327, 1552, 1771, 1984, 2191?\n\"Answer: -3*x**2 + 246*x + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 38*s + 5*o - 35 = 0, 5*s + o + 23 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 20. Let p = 0 - 0. Put n, 2, p in descending order.\nAnswer: 2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 26*n + 183. Let h be m(21). What is the highest common divisor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -37 (b) -0.5 (c) -1\/4 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2. Let a(p) be the first derivative of 35*p**3\/3 - p**2\/2 - 103. Calculate q(a(m)).\nAnswer: 3675*m**4 - 210*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t*t**3\/t)\/t*t)\/t)\/t)**50)**23 assuming t is positive.\nAnswer: t**2300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 383 + -4?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - o = 17*u - 50*u + 2, -3*o - 7 - 3 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 14*t**2. Let z(n) = 8168607 - 73*n - 8168607 + 192*n. Determine d(z(m)).\nAnswer: 198254*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 5, l: 3, d: 1, b: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 + 4*t - 6. Let l(n) = 17*n**2 + 11*n - 17. Suppose 2*z + 12 = 6*z. Suppose -5*d = -z*w - 0*w - 8, -w + 4 = 0. Calculate d*l(x) - 11*s(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 1\/20*m**5 + 1\/6*m**4 + 0 + 0*m**2 + 0*m**3 + m. What is the third derivative of o(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055605 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:15 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -90. Let v(h) = h**3 + 2*h**2 - h + 10. What is the lowest common multiple of 14 and v(o)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7790 and -8 - 510\/(-25) - (-8)\/(-20) - -6?\nAnswer: 70110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289755 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 a when four letters picked without replacement from {a: 3, u: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) -2\/7 (c) 3.5 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/((-1)\/5). Let v be 2\/(-5) - (-351)\/15. Suppose 4*x - 3*a = 2*a + 10, 5*x - a - v = 0. Solve -2*y = q - x*q - 12, -y = 4*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -642 - -645. Solve 0*s = -4*y - j*s + 6, 2*y - 8 = -4*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Suppose -2*a + 3*u + 4 = 0, 0*a - 3*a + 6 = -4*u. What is the derivative of -a*n + 2*n - 3*n**z + 6 wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 11. What is n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9\/5)*t**6\/t*(t\/(t**1\/t))**(-2\/25) assuming t is positive.\nAnswer: t**(78\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 4180480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (878\/1756)\/(31*(-42)\/28*2\/(-24))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.051446 and -119842187?\nAnswer: 119842187.051446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1430, 7689, 13948, 20207, 26466, 32725?\n\"Answer: 6259*l - 4829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 338377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + 0.13. Let k be 240\/864 + 1\/(-2). Put p, -59\/5, k in decreasing order.\nAnswer: p, k, -59\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 8*z**2 - 5*z + 5. Let o be i(-7). Let x be 78\/(-63) + (-6)\/o. What is the closest to -0.1 in x, 2, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 82*m - 538. Give t(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 2*f**2 - 2*f - 3. Let h be m(0). Which is the nearest to h? (a) 3 (b) -66 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/108 - 5*o**3\/9 + 32*o**2\/9 - 353*o. Factor v(w).\nAnswer: -(w - 2)*(w + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrxlu. What is prob of picking 1 r and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1386 and 75282130?\nAnswer: 677539170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/(-4))\/25*64\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 2*r**3 - 3*r**3 + (-1 - 2 + 1)*(6 - 6 - r**3) - 13*r**3 + 5 - 5.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0283946031 rounded to 6 dps?\nAnswer: -0.028395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -421*w - 187*w**3 + 831*w - 408*w + 313*w**2 wrt w?\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 230?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577 by -1352.\nAnswer: -577\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 1600, 3231, 5514, 8449, 12036, 16275?\nAnswer: 21166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + -1 + (-32 - 1)\/(-1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 + 4*r**2 - 23 + (3 + 1 - 6)*(6 - 6 + 3*r**2).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 389633120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 4:20 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*h = -295*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 b when three letters picked without replacement from {b: 4, n: 1, j: 4, f: 1, l: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let h(n) be the third derivative of 0*n + 0*n**3 + 22\/3*n**4 + 1 + 73*n**2. What is l(h(y))?\nAnswer: -352*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63738123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 4. Let i(t) = 6*t**2 + 27. Let h(q) = 4*i(q) + 27*l(q). Let a(p) = -30*p. Let c(r) = 46*r. Let d(b) = -3*a(b) - 2*c(b). Give d(h(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 + 9*s**2 - 6*s - 57. What is the hundreds digit of r(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 a when four letters picked without replacement from {a: 5, k: 4, r: 5}?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2659970063 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:24 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22126941 and -2223.\nAnswer: 22124718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 + 8*h - 2. Let b be l(2). Let x be ((-6)\/(-5) + 0)*b\/(-4). What is the second derivative of -18*z - 1 + 6 - 5 + z**x wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 6*c - 105. Suppose 0 = -18*l + 23*l - c. Solve 2*p - l = 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-406641)\/(-178)*(-10)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and -97\/390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -10. Let t(j) = 11*j**3 - 16*j**2 - 1. Let u(c) = -2*c**3 + c**2. Let g(z) = t(z) + 6*u(z). Let m be g(d). Which is greater: m or -34?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199323535 and 1475?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + -2 + -5 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -623610348*m**4 - 8737787*m**2?\nAnswer: -14966648352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3 - 3)*(b**4 + 3*b**2 - 5*b**2 + 4*b**2) + 238*b**2 + 231*b**2 - 17*b**5 - 476*b**2.\nAnswer: -19*b**5 - 4*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10361000 to the nearest one hundred thousand.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 2945 and 927304.\nAnswer: 930249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664012677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-10)*(2\/(-12))\/(125\/(-150))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49502 and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6074, 12149, 18224, 24299, 30374?\nAnswer: 36449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9452377 millennia in decades?\nAnswer: 94.52377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 3331?\nAnswer: -3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4080 and -3.8378035.\nAnswer: -4083.8378035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0182 in -0.1, -2, 1\/3, -26, 0.2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4400)\/33)\/40*(-18)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*f - 920 = 0, 0 = -f + 9 - 4. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g. Let v(m) = 394*m. Calculate v(j(b)).\nAnswer: -1576*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyz when three letters picked without replacement from zzyyzyyyyyy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**3\/69 + 11*k**2\/23 + 4. Factor o(c).\nAnswer: 2*c*(c + 11)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 165 = 3*h. Let w = -39 - h. Suppose a - 16 = w. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -11*v - 0*v. Let k(l) = -l**3 + 3*l**2 - 2*l - 4. Determine k(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from rrrrzrrrrrrrx?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 32*q - 5. What is the tens digit of o(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - 2*u**2 - 3*u - 1. Let o(c) = 5*c**3 + 3*c**2 + 4*c. Determine -2*o(v) - 3*z(v).\nAnswer: 2*v**3 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-3)\/72)\/((152\/(-19))\/144).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 12, 0, 2, -4, 4861 in ascending order.\nAnswer: -4, 0, 2, 12, 38, 4861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -243 + 237. Let u be (-162)\/39 - (g + 2). Which is the nearest to -3\/2? (a) 0.5 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 - 92. Let k = 202 - z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -48.00841.\nAnswer: -192.03364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 8*u**2 + 13. Let j(q) = 2*q**3 - 9*q**2 - 3*q + 12. Let a(h) = -3*j(h) + 2*o(h). What is a(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 46*p**3 + 89*p**2 + 44*p.\nAnswer: p*(p + 1)**2*(p + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-38))\/(17136\/(-651168))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 19*u + 14. Let m(i) = 3*i - 1. What is 6*m(d) + x(d)?\nAnswer: 2*d**2 - d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*h**2 - 102*h**2 + 130*h**2.\nAnswer: -208*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**6\/210 + i**5\/140 - i**4\/28 - i**3\/42 + i**2\/7 + 13*i. Suppose l(w) = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 1. Let q(u) = 19*u + 8. Let s(j) = 6*m(j) - q(j). Let d be s(-2). Suppose 0*n + d = 3*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 917311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13301 - 0.16699. Put 1, -316, z in increasing order.\nAnswer: -316, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 + 7*f**2 - 7*f + 1. Let z be g(5). Let t be z\/(-15) - 2\/(-5). What is the tens digit of (1 - (-104)\/6)\/((-14)\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*u = -19, 2*n - 4*u - 10 = 10. Suppose 3*i - 4*i = -n*r + 1995, 2*r = 3*i + 995. What is the remainder when r is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -4*c**3\/3 - 249*c. Let x(p) = p**2. Determine a(x(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {p: 4, w: 8, i: 1, m: 2, q: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.3, 12811, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 70*s**4 - 4*s**3 + 4*s**2 - 53. Let l = -533 + 534. Let y(w) = w**4 - w**3 + w**2. Let a(c) = l*x(c) - 4*y(c). What is the derivative of a(j) wrt j?\nAnswer: 264*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697519005 a multiple of 1329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 + 140. Let q be t\/(-12)*(0 - 6). What is the greatest common factor of 52 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 150*y**3 - 133*y**2 + 806*y + 29. Is 7 a factor of p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + -104 + 138 - 131.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2 + b - 1. Let p be c(3). Let s be (-2)\/4 + 1\/p. Suppose -3*i - 8 = -4*i - a, 2*i - a - 4 = s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u - 1\/6*u**2 + 1\/30*u**5 - 1\/8*u**4 + 1\/36*u**6 + 14 - 5\/18*u**3. Factor o(h).\nAnswer: h*(h - 2)*(h + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.16, 509, -2\/3, -0.1, -9?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g + 6*g + 103*g**2 + 2*g to o + q*g + j*g**2 and give j.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 194?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1365\/(-520)*(-264)\/(-18)*(-4)\/(-2)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*p + 3. Suppose -2*z - p = -13. Suppose -4*j - 14 + 78 = 0. Calculate the least common multiple of z and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -247 - -254. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g)**31*(g\/g**(2\/3))\/((g\/g**2*g)\/g) assuming g is positive.\nAnswer: g**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104.554 and -25?\nAnswer: 2613.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, r: 3, e: 1, k: 2}. Give prob of sequence kr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599 less than or equal to 24600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/1415 (b) -0.3 (c) 0.2 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21387668828093123\/62 - -26860646815916227799668137\/77865433394. Let i = -62\/565973 - y. Let d = i - 1\/317. Is 3 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5881*y + 5883*y - 79*v - 369 = 0, -3*v + 50 = -5*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, -2, -1\/6, 0.489, -39 in decreasing order.\nAnswer: 0.489, 0.3, -1\/6, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1889263380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10092aa15 - -4?\nAnswer: 10092aa19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, -1, 12 in descending order.\nAnswer: 12, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (50 + -18 + -36) - (2 + 36).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2\/4)*-2. Let p be 4\/((-3)\/(-3) + t). Solve -4*r + 6 = -p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164509*25\nAnswer: 4112725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 405*b**2 - 3*b - 1. Is v(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 131963?\nAnswer: 131975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*r, -3*y - 2*r + 16 = -2*y. Let c(a) be the first derivative of -12\/13*a**3 + 4\/13*a**4 - 10\/13*a + 8 - 2\/65*a**5 + 16\/13*a**y. Factor c(p).\nAnswer: -2*(p - 5)*(p - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 135 = 5*u. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2968 + 2964. Which is the nearest to -0.12? (a) x (b) -0.2 (c) 12 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 969286 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2af8 (base 16) in base 12?\nAnswer: -6448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:57 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139293, 278574, 417833, 557058, 696237?\n\"Answer: -2*s**3 + s**2 + 139292*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 3 - 64*i**2 - 14*i**2.\nAnswer: -94*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:36 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 - 7 - 15) + -17?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*h - 8 = 0, -8*b + 4*b + 3*h + 11 = 0. Suppose -b*s - 1581156 = -441156. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5)**(-12))**(-7\/9)*o*(o\/(o\/(o\/o**1)*o))\/o*o*o*o**3\/o*o*o\/(o\/((o*o**6)\/o))*o**(3\/5) assuming o is positive.\nAnswer: o**(859\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60376173?\nAnswer: 3, 11, 13, 23, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 16896501?\nAnswer: 16896501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25572752, -25572750, -25572748, -25572746, -25572744?\n\"Answer: 2*l - 25572754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/6)\/(64\/174). Let s = -11 + v. Let k = 276849\/90146 + 2\/6439. Calculate the common denominator of k and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 greater than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((5 + -16 - -9) + 1 + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -308*q + 2. Let a(r) = 921*r - 5. What is 3*a(p) + 8*d(p)?\nAnswer: 299*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.41*159.73\nAnswer: 65.4893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9285901 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3 - 220*v**2 - 452*v - 228 = 0?\nAnswer: -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 1\/4, 0 in descending order.\nAnswer: 14, 5, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 2*y + 2*y. Suppose 3*h - 4*n = 5006, -4*n - 670 = 3*h - 5636. Let u(s) = -1662 + 2*s + h. Give x(u(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = -1. Let k be (-2 - ((-6)\/(-3) + 2))*-1. Let v(w) = w + k*w - 6 - w. Give v(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 7.4. Let k = 5.3 + -4.8. Let b = m + k. Which is greater: b or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from fojobjoiaiobbjai?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -886000 rounded to the nearest ten thousand?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 + 3*l. Let h be z(-6). Let d = -7 + h. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 2, b: 7, x: 9}. Give prob of picking 1 x, 1 b, and 1 h.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111101010101000110011 - 10100?\nAnswer: 1110111101010101000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 623 and -0.22347?\nAnswer: -139.22181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -11*q**7\/2 + 145*q**4\/24 - q**3 + 768*q**2. Find the second derivative of s(l) wrt l.\nAnswer: -13860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19087717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*m + 9, 0 = 2*i + 132 - 122 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 6, -133, -3, 0 in decreasing order.\nAnswer: 13, 6, 0, -3, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let b(t) be the first derivative of 2*t**3\/3 + 3*t**2 - 2*t - 1439. What is -b(z) + q(z)?\nAnswer: -2*z**2 - 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 19457981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -2.96. Let g be 0\/(-19 - -36 - 16). What is the nearest to -1 in v, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 40 + 57 - 8*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5319, -22, -2, -0.03, 5 in ascending order.\nAnswer: -5319, -22, -2, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 17925*k + 17888*k + k**3 - 5 - k**4 - 3*k**4 + k**2 in the form w*k**3 + l*k**2 + u + n*k + q*k**4 and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*r + 4*r. Let y be (-13)\/(3*(-1)\/r). Suppose y*g = 23*g + 48. Solve 0*s + 3 = 3*s + 3*t, -4*t - g = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**5\/5 + 27*r**4\/4 + 22*r**3 - 96*r + 27. Factor x(u).\nAnswer: 3*(u - 1)*(u + 2)*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.4 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26267?\nAnswer: 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118582 is divided by 39523.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 5105?\nAnswer: -5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.8 (b) 2 (c) 2\/11 (d) 3\/5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -381 - -385. Solve l + 3*l - 2*b = -4, -3*l + 5*b = -m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 - 310 = -5*s. What is the greatest common factor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 384*b**2 + 385*b**2 - 4*b - 2*b = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17492 + -17487. Is 1261 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + 381 - 38. Let q = z + 145\/3. Let v(g) = -g + 2. Let p be v(2). Which is the nearest to 1? (a) p (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 264*g - 70. Let b = 730 - 726. Is 58 a factor of c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6156 by 162.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -15, -1, 33, 93, 185?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 2 - 2)*(3 - 3 + c) + 974 + 949 - 2144 + c**2 to the form o*c + x*c**2 + r and give r.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 79*d**2 - 10*d - 538. What is the thousands digit of v(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*x = x - 7, 2*x - 8 = s. Let o(u) be the first derivative of 0*u - 2\/5*u**5 + u**s + 1 + 2\/3*u**3 - 1\/2*u**4. Factor o(f).\nAnswer: -2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from ywhvyzt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:56 PM?\nAnswer: 637","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/707992 and 103\/5784.\nAnswer: 511878216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10956\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - 6*t. Let v = -200 + 196. Let x(o) = o**3 + o. Determine v*x(z) - n(z).\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r. Let k be 2\/(-24)*-2*6. Let f(o) = 6*o**2 - 4*o. Let a(j) = k*f(j) - 4*x(j). Let t(y) = -4*y. Give a(t(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let x(c) = -31559*c**2 + c + 1. What is x(d(j))?\nAnswer: -31559*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32169 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817769, 1635513, 2453257, 3271001?\nAnswer: 4088745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -117, -114?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(0*y - y - y) + y + y - 5*y + 4*y - 4*y + y)*(-4 - 7*y + 4).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 + -3. Suppose -n = 4*w + 6, -2*n - 4 = -0. Let m be (-1)\/(-1) - 1\/1. What is the nearest to w in 3, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 140464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 29*j**2 - j + 7. Let d(c) = 28*c**2 - c + 6. Let k(h) = -7*d(h) + 6*y(h). Suppose 1 + 7 = -4*f, 3*w + 4*f + 5 = 0. What is k(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7361*c + 6253*c = 28808 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1057, 1058, 1059, 1060, 1061?\n\"Answer: l + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428740 and 6188?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -28. Let r(p) = -p**2 - 13*p - 17. Let m(g) = g - 1. Let k(y) = l*m(y) + r(y). Is k(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8609 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 2331*w + 266046.\nAnswer: 3*(w - 638)*(w - 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/25168638 and 67\/3?\nAnswer: 25168638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r, 0 = 3*c + 5*r + 1254. What is c rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 - -4. Let n be 0\/(-1*2\/2). Let m = -2 - -2. Which is the nearest to m? (a) -4 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, s: 1, f: 1, r: 2, i: 3, m: 3}. What is prob of picking 2 i and 2 d?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n. Let y = -11 - -9. Let s be 5\/((-20)\/(-28)) + y. Suppose -f - 5*r = 1, 0*r + s = -5*f + 4*r. What is g(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1\/4, -1\/3, 2\/7, -159, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 699575*a - 225. Let j be i(-17). What is j rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*f + 50 = 0, -4*f - 226 = -230 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4289.612 times 0.3?\nAnswer: 1286.8836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3912204382.\nAnswer: 2, 1956102191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 5*w**2 + 2*w - 5. Let r be d(-4). Let t = -2.1 + 0.1. Let m = 1.5 + t. Which is the second smallest value? (a) m (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p)**(2\/9)\/(p**2)**(3\/16) assuming p is positive.\nAnswer: p**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 - r**2 - 2*r**2 + (-2 - 3 + 2)*(-3*r**2 + 0 + 0) in the form f*r + z + y*r**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*q**2 + 520*q**2 - 170*q**2 - 179*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58144510 and 298310.\nAnswer: 12970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 15\/2 + 12\/(-8). Find the third derivative of -i*l**2 - 8*l**6 - 9*l**6 + 5*l**2 + 2*l**6 wrt l.\nAnswer: -1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12695462, -12695461, -12695460, -12695459?\nAnswer: -12695458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 76 + 64 + 6 + 2*t as q*t + n and give n.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(5\/2 + -3). Solve 2*f + 24 = -2*f - j*c, -2*c = 3*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*x - x = 77, -278 = -4*d + x. What is the highest common factor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + v + 2)*(-2*v - 3*v + 3*v) + 0 + 0 - 2*v**2 + 0*v**2 + 2*v**2 + v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*t + 9 + 11, 5*t + 38 = -4*k. Let d be (-224)\/t*(-102)\/(-4). Suppose -5*w = -363 - d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = 0, 3*w - 537 = -2*s + 34. What is the least common multiple of 195 and s?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y - 128. Suppose 0 = -5*d + d + y. Factor 2*k**5 - d*k**4 + 4*k**5 - 2*k**5 + 5*k**3 + 7*k**3.\nAnswer: 4*k**3*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:11 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:10 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37759 and 176229.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-353)\/((-2213310)\/(-5940)))\/((-2)\/(-2))?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1333 = 2*g + 1091. Which is smaller: 117 or g?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.058743182?\nAnswer: -0.0058743182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99.09 + 97. Let t = a + 0.4. Round t to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1120)\/30*((-18)\/(-8) - 0). Let n be (-10)\/(-7)*x\/(-30). Calculate the highest common divisor of n and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(-4 - -2). Does r = -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 8*s. Let g be 5\/(-90) + 2\/4. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/2*(1 + -3). Let h = -5 + 3. Let w be 3*(h + (-14)\/(-6)). Calculate the highest common factor of w and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -2, -5, 31, 2.\nAnswer: -5, -2, 0, 2, 18, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -7*o**4\/24 - 4*o**3\/3 + 4*o**2 + 24. What is p(-11)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011001101110001111000101 - -11?\nAnswer: -10000011001101110001111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*c + 3890 = -305*c - 3274 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -9?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 8437680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -174*c**2 - 34*c - 161. Let h(p) = -29*p**2 - 6*p - 27. Let z(y) = 34*h(y) - 6*i(y). Differentiate z(q) wrt q.\nAnswer: 116*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 2, z: 1, j: 4}. Give prob of picking 1 v and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y**(-2\/3))\/(y*y**5*((y\/y**(-1\/2))\/y*y*y)\/y)*(((y*y**(2\/3))\/y)**30)**42 assuming y is positive.\nAnswer: y**(5021\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 495 - 498. Let n(b) = 7*b**3 - 5*b**2 + 6*b - 6. Let o(a) = -4*a**3 + 3*a**2 - 3*a + 3. Calculate f*n(g) - 5*o(g).\nAnswer: -g**3 - 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1478 - 236 - 34*j + 35*j to the form v + s*j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-340)\/(-90) - 16\/(-72))*(-1)\/(-2). Let q be 10\/16 + 2\/(-2). Sort q, i, -4 in ascending order.\nAnswer: -4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10 + -4 + 8 + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(240\/54))\/((-3)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 40, 42, 40, 34, 24, 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71344419761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c + 10. Let v be w(3). Solve -2*a = 3*a + v, -6 = -4*y - 3*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2696 - 5395\/2. What is the nearest to 1 in -3, -2\/9, m, 14\/37?\nAnswer: 14\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(0 - -1) + 6. Let c = o - 20. Let t = c - -23. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -8, -106\/119, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.17 (c) 64 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 1805?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*x + 25, -77*u + 38 = 3*x - 81*u. Calculate the remainder when 42 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (14 - 4) + -11 - (-24 - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183203, 183178, 183153, 183128, 183103?\nAnswer: 183078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209 and 7.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 2\/9 (c) -4 (d) -6\/5 (e) 1.68 (f) 354\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*x*z**3 - 5*x - 32*z**4 + 15*z**2 - 852 wrt z?\nAnswer: -159*x*z**2 - 128*z**3 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskskkskkssssssk. Give prob of sequence ss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.18 (b) 15 (c) 4 (d) -0.47 (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/7*(-4193)\/(-599).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z - 2. Let g be o(3). Suppose -4*h + 11 = 3*u - 33, 0 = -2*u - 4*h + 36. Let x = g + u. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -32. Let a = m + -2.8. Let z = a - 9.19999866. What is z rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f**2 + 5*f - 5. Is z(2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19054, 38156, 57260, 76366, 95474, 114584?\n\"Answer: z**2 + 19099*z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 1097420.\nAnswer: -1097420.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11889964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 11*y + 3*y + 14*y - 1 as u + k*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-906)\/(-15855))\/(((-30)\/(-7))\/(-10))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 29*q - 9. What is z(16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.8. Let h = 12.9 + -15.9. Which is the nearest to -1? (a) 0.1 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*h + 15*h - 10. Let v = 11 - h. Suppose -v*m = -12*m - 64. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -17\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:38 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 188*p**3 - 5*p**2. Let f(l) = 94*l**3 - 2*l**2. Calculate -5*f(x) + 2*h(x).\nAnswer: -94*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 7*v**2 - 5*v - 4. Let w(m) = -m**3 + 7*m**2 - 6*m - 5. Calculate -6*b(d) + 5*w(d).\nAnswer: d**3 - 7*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let t(o) be the second derivative of 0 - 3\/2*o**3 - 1\/3*o**b + 3*o + 11\/2*o**2. Let n(r) = -2*r**2 - 4*r + 5. Determine -7*n(h) + 3*t(h).\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 times -0.03737?\nAnswer: 36.17416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 199.942\nAnswer: -199.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 265 = 4*h - 234, -5*h - 3*z = -629. What is the remainder when h is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Suppose 4*h = 2*h. Let r(z) = -z**2 + 3*z + 2. Let v be r(h). Sort 6, k, v.\nAnswer: v, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by -189?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/((-136)\/(-170))*2*49\/(-42)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 45.46?\nAnswer: -45.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073829887 rounded to 5 decimal places?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + -24 - (-20 + 33).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvywwvywvwvw. What is prob of picking 1 y and 1 v?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 10*t + 7. What is w(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 5, r: 3, f: 2}. Give prob of sequence fr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -14 + (-1 - 0) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2884798 is divided by 49737?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - i = -51, -4*i - 27 = -3*s - i. What is the second smallest value in -0.3, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 - 49*g**2 - 250*g - 10. Give v(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418 or 0?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/11 - 173400*u\/11 + 317596032\/11 = 0. Calculate u.\nAnswer: 1872, 84828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 4.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*i - 5*i. Suppose 5*a - 2*y = 196, 4*a = -3*y - i*y + 137. What is the greatest common factor of 418 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*t**4 - 168510*t**3 - 45*t**2 - 6*t + 108?\nAnswer: 384*t - 1011060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586*l = -585*l - 127. What are the prime factors of l?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 23*v - 7. Let n be x(-6). Put n, 111, 3 in descending order.\nAnswer: 111, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50\/31 + 3569\/2232. Let s = -97\/72 - n. Which is the closest to -1? (a) 1\/2 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*j**2*n**3 + 4*j**2*n**2 + 19*j**2 wrt n.\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2196 is divided by 116?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p**4 - 12*p**4 + 11*p**4 + p - 2*p**4 - p + (-3*p**3 - 3*p**3 + 4*p**3)*(-3*p + p + 3*p) - p**4 - 2*p**4 + 2*p**4.\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-3))\/(40\/(-900)*15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 10*r = 5*k - 22045, -2*k = r - 8811. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**3 + 4*z**3 - 4*z**3)*(-1 - 6 + 2) + 4*z**3 + 0*z**3 - 3*z**3 + (2 - 2 + 2*z**2)*(2*z - z + 0*z) to the form y + m*z + p*z**2 + r*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 8 - (-75 + 67) - (-31 + 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-8 - -12 - -5) - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -13, -15, -15, -13, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 36, -10, 0.\nAnswer: -20, -10, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 13120201?\nAnswer: 13120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/7 + 342*c**4\/7 - 140474*c**3\/7 + 418298*c**2\/7 + 1392*c\/7 - 557720\/7 = 0.\nAnswer: -365, -1, 2, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n + 28. Let g be c(-3). Let k(p) = p**2 - 6*p - 11. Let q be k(8). What is the second smallest value in g, q, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.956863cm?\nAnswer: 0.01956863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -47 - 13. Solve p + 4*r = -n, -p - 4 + 0 = -2*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from {e: 2, x: 5, q: 3, i: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15522 (base 9) to base 11.\nAnswer: 7a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6704\/889 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/294 - 1\/(-6). Which is the biggest value? (a) 0.04 (b) 1\/8 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (6 + (-8 - -5) + 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 268*c**3 + 259*c**2 + 16*c - 13532083 wrt c?\nAnswer: 804*c**2 + 518*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + h - 3*h + (-1 - 3 + 2)*(-3*h + 2*h - h) + 4*h - 3*h - 2*h - 2*h + h + 2*h + (-3 + 2 + 2)*(2 - 2 + h) - 2 + 2*h + 2 + 12 - 116*h - 12.\nAnswer: -107*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 4*n**3 + 0*n**3 - 25*n**3 - 8*n**3 - 12*n**3 + (n**2 - n**2 - 2*n**2)*(-4*n - n + 7*n).\nAnswer: -50*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 81, 124, 187, 276?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3228*-0.2\nAnswer: 645.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-93)\/99)*(8 + -5). Which is the second biggest value? (a) 6 (b) -1\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + 3*sqrt(68)*1 - ((sqrt(68) - sqrt(68)*-1*-1) + sqrt(68)))\/(sqrt(44)\/(sqrt(11) - sqrt(396)*2))*5 + -5)**2.\nAnswer: 2200*sqrt(17) + 822825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = p - 4. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.15838 + 6488.4423?\nAnswer: 6496.60068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7624, 61449, 207552, 492073, 961152?\n\"Answer: 7690*p**3 - p**2 - 2*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.28632 and 3413.804.\nAnswer: 3413.51768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d - 7. Let n(s) = -1. Let t be 3\/(12\/8) + -1. Let m(p) = t*j(p) - n(p). What is the first derivative of m(g) wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 517 - (15 - 18). Suppose -5*a = 4*i - 1463, -5*a = -i - 3*a + 382. Let y = m - i. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280 + 152. Which is smaller: -129 or x?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244004 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -933, 14, 5 in increasing order.\nAnswer: -933, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 times -14?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:06 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1093 + -614. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426 divided by -62?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/110 - 95*k**4\/66 + 17*k**3\/3 - 93*k**2\/11 - k - 1171. Suppose c(m) = 0. Calculate m.\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -98. Calculate the remainder when (-1 - -98)\/(1\/(1 + 0)) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*((-10)\/4 + 1). Suppose -4*c - s = o, -31 = 5*c - 6. What is the units digit of 2\/5 + (-140)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 32 = -22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15505 is divided by 5165?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*m - 2343 = 6477. Let r(z) be the first derivative of m + 0*z + 1\/2*z**2. Let d(c) = -c**3. What is -2*d(u) + 2*r(u)?\nAnswer: 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 6, r: 2, v: 7}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*f**3*r**4 - 178*f**3*r - 117139*f**2*r**2 + f**2*r + 2990*f**2 - 7*r - 2 wrt r?\nAnswer: 2940*f**3*r**2 - 234278*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196.86 + 197. Let c = h - -0.06. Put c, 2, -45 in decreasing order.\nAnswer: 2, c, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 13760?\nAnswer: 61\/13760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, g: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10630223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*m - 615, 4*v - 1466 = -2*m - 216. Is v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f + 20. Which is the second smallest value? (a) 0 (b) f (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102020 (base 3) in base 13?\nAnswer: -a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 - t - 2. Let b be q(-4). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 56. Does 16 divide (0 - y) + 64 + -34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1230, 1229, 1228, 1227?\n\"Answer: -c + 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.51 to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p**3 - 28*p**2 + 64*p + 24. What is the tens digit of j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-610)\/(-732))\/(1\/18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 6, e: 2, k: 3, t: 1}. Give prob of sequence iei.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 + 30 = 0. Suppose 4*n = 27 + d. Solve 0 = 5*r + n + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -22.848. Let n = 3.37 - 3.2. Let z = n - p. What is z rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 16*j**2 + 15*j + 19. Let q = 42 - 27. Calculate the remainder when 189 is divided by z(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1282 - 1?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123 + 44 + 3*h**3 + 41 - 7*h**4 + 40 - h**3 + h to k*h + u*h**3 + s*h**2 + b + y*h**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8535 and 3147.\nAnswer: 8953215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 29, 6, -1\/61?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 219 - 39 = 0. Calculate the highest common factor of v and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 664, 11, -2, 1 in increasing order.\nAnswer: -2, 1, 3, 11, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -66, -1, -5, 2\/9, -2\/5, -4.315?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-144)\/(-63) - 4\/14. Suppose 4*r - p*r = -10. Let h be (-14)\/(-5)*r\/30*-15. Solve -17 = -2*b - h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 3. Let r = 0 + -4. What are the prime factors of k(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1737371607 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 207?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2)*x)\/x*x*x)\/x*x**(-2\/11)*x*x**5\/x**(2\/17))\/(x\/(x**(-3\/4)*x)*x**(-8))**(5\/4) assuming x is positive.\nAnswer: x**(41179\/2992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 35694 + 35694.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, c: 3, b: 3}. What is prob of sequence bbjj?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a5d04 (base 15) in base 6?\nAnswer: 15135234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 311, 324, 303, 230, 87, -144?\n\"Answer: -3*n**3 + n**2 + 31*n + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.955 and 104?\nAnswer: 515.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 37735 = -3*i - 12179, -5*n = -5*i - 83225. Let y be (-4)\/18 + (-1217560)\/(-18). Let b = y + i. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/((-2)\/(-10)). Suppose -2*i - 100 = -7*i. Calculate the remainder when i is divided by 10 + -2*(-2)\/a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -2 + 3 + -3. Which is greater: r or -1\/51?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 0 - (-1 - -3). Suppose n*g - 7*g + 4800012 = -3*b, 0 = -4*b - 16. What is g rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9183*l**2 - 34*l + l**3 + 34*l - 9183*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = l + 3*l, 25 = 5*l. Suppose -g - q*g = -660. Suppose 2*h + 2*h = g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 90 = -s. Suppose 0 = -3*d - 2*d + s. Let l be (-36)\/9 - (-10 - 2)\/2. Solve d*a = -l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18195 is divided by 1149.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 0, -2*y - y + 749 = 2*f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:03 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -376 + 459. List the prime factors of s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095411035 rounded to 4 dps?\nAnswer: 0.0954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62652)\/(-109641) - 1*1\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 3) + 2 + 62 - (-3 - -2 - -7)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4860\/(-945))\/((-56)\/294).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.2 (b) -5 (c) -15 (d) 1\/5 (e) -0.213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9482440 by 5.\nAnswer: -1896488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 958, 809, 660, 511, 362?\n\"Answer: -149*p + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22990, 22989, 22988?\nAnswer: 22987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 298 (b) 2 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.937 take away 2146080?\nAnswer: -2146074.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -327 + 322. Suppose -3*m = 3*s - 51, 56 = 2*m + 2*m - 2*s. Let y be 4\/m + (-2)\/(-6). Which is the biggest value? (a) -5\/4 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = s - 3, -3*s + 5*q - 15 = 2*s. Let r = 9 + -14. Let l = r - -5.1. Does l = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436942 - 2*u**2 + 436927 - 873869.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 13*o + 175. What is the tens digit of w(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3016, -6130, -9244, -12358, -15472?\n\"Answer: -3114*q + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 - 9*w + 9. Let d be p(6). Let t be 1\/(-2)*(d + 1). Solve -4*a + 16 = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 475010*w**2 + 44664194*w - 1049712382.\nAnswer: -2*(w - 47)**2*(w + 237599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -651 and 4.\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rldr when four letters picked without replacement from rrrdrdtddll.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -21, -51, -95?\n\"Answer: -7*w**2 + 5*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 1. Let r be p(-5). Let s be ((-1060)\/8)\/(-5) + (-15)\/(-10). Let i = r + s. Solve 0*b - 4*v = -4*b + 24, 2*v = i*b - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14319*n**3 + 20351*n**3 + 5831*n**3.\nAnswer: 40501*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -24*s**3 + 5*s**2 + 7*s + 3. Let r(i) = 77*i**3 - 16*i**2 - 21*i - 10. Determine -3*r(p) - 10*t(p).\nAnswer: 9*p**3 - 2*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 2 + 1 + (6 + -31 - (-9 + 47)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + y + 7)*(0 + 11 - 2243*y + 2241*y) + (4*y - 4*y - y)*(0*y + y + 0*y) - 2*y**2 - 2*y**2 + 6*y**2 - y**2 + 5*y**2 - 2*y**2.\nAnswer: y**2 + 9*y + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00155 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1475 divided by 25.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 14*a**2 + 14*a + 2. Let c be i(-15). Suppose 0 = -0*v + 2*v + 8, v = 3*q + c. Let f(t) = t**2 + 4*t - 5. List the prime factors of f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Let q be 16\/(g\/(-1) - -3). Let i(s) = q - 3*s - s + 6*s - 4*s. What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12337)\/(-1183) - 128\/(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c. Let v be u(1). Suppose 13 = v*k - 3. Find the third derivative of -k*h**2 + 2*h**3 - 4*h**2 + 2*h**2 - h**3 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 5, o: 2}. Give prob of picking 1 o and 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 397, -63, -390?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2311, -2309, -2305, -2299?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:42 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1746, 4372, 6998, 9624, 12250?\n\"Answer: 2626*g - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - 3*o. Let t(j) = -j**3 - 3*j**2 - 5*j + 4. Let f(n) = 2*a(n) + t(n). Let u be f(4). Solve r = -1 - u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(539)*4 + -2 + sqrt(539) + 4*sqrt(539)*-3 + -1)**2.\nAnswer: 1764*sqrt(11) + 158520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + -5*(sqrt(448) + 2)))**2.\nAnswer: 40320*sqrt(7) + 410256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - f. Let i(o) = -15*o**2 - 29*o - 3. Determine -i(a) + 6*j(a).\nAnswer: 3*a**2 + 23*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twww when four letters picked without replacement from {t: 6, w: 13}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/18182 and 131\/36.\nAnswer: 327276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/9*14\/6*423\/329.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.1. Let d = -0.03 - 7.17. Let r = 7 + d. Do r and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.64 - 0.16. Let j = -2.7 - -3.9. Let g = y - j. What is the second biggest value in 1, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -811778494 and -811778495 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5\/5 + 598*v**4\/5 + 2832*v**3\/5 + 4878*v**2\/5 + 3667*v\/5 + 204 = 0?\nAnswer: -5\/3, -1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewfxef. What is prob of picking 1 f and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80104 and 5472?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-5)*10\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3124494 and 62\/173583.\nAnswer: 3124494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7595 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*c + 31, 16299*c = 16295*c - 5*m - 33 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 3*s. Let b be 4\/(-3) + (-130)\/(-78). Is b greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 4*p + 55 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8983*u**2 - 20*u - 1702*u**2 + 10*u - u**3 + 10*u to the form w*u + i + d*u**3 + v*u**2 and give v.\nAnswer: -10685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/462 and 52\/363.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/6 + 327*l. Let v(b) be the first derivative of -2 + 6*b**2 + 1 - 2. Calculate v(g(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34770000 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.234 times 0.5?\nAnswer: 0.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(79\/((-1896)\/48))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10242 and 20484.\nAnswer: 20484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 91710*n + 15091. Is u(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191305?\nAnswer: 5, 38261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -17. Let c = 4 + d. What is the smallest value in c, 2\/5, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 5 - 14 + g + 23. Let r be k(-4). Let s(v) = v**3 - 3*v**2 - 6*v. Let w(x) = x**3 - 2*x**2 - 7*x. Let t(y) = 6*s(y) - 5*w(y). Calculate t(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1492, 1348, 1244, 1180, 1156?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2926.633605 to 0 dps.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*q, -4*p + 2*q + 0*q + 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363026573*m*y**2 - 1868*m*y - 1316*m - 4*y wrt y.\nAnswer: -726053146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450440 and 1280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 1 + 0)*(3*l - 3*l - l)*(4*l**2 + 0*l**2 + 4*l**2)*(4*l**2 + 0*l**2 - 2*l**2) - 3*l**5 + l**5 + 0*l**5.\nAnswer: 206*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3322002032 (base 5) to base 3\nAnswer: 111120202122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -10*t - 6*t, -2*a + 4*a + 4*t = -34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.7623875 to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14227654.\nAnswer: 2, 7, 157, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(468)*1)\/sqrt(9)*-4)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from seciioi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**2 - 4145*b - 4140 = 0.\nAnswer: -828, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - 3) + (-10 - -15 - -4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, c: 3}. Give prob of sequence pccp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 769285 + -769283. Let t = 2 - 0. Solve c + s - 3 = -n, 0 = t*c + 3*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**2 - 12*i**2 + 9*i**2 to the form g*i + m*i**2 + w and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4*sqrt(104))\/sqrt(8)*4)**2.\nAnswer: 3327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 1. Let j be w(2). Suppose 4*x + j - 11 = 0. Let b be ((-13)\/(-26))\/(x\/12). Solve p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, 0.062, 12 in decreasing order.\nAnswer: 12, 0.062, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g\/((g\/g**2*g)\/g*g))\/g)))\/g**7)\/(g*g**(-1))**(-1\/7) assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -5*t. Let r be t\/(-2)*(12 + -12). Sort r, 5, -1, 9.\nAnswer: -1, r, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.8757 kilometers to nanometers.\nAnswer: 521875700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/120 and -57\/904.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33364990, 33364986, 33364978, 33364966, 33364950?\n\"Answer: -2*k**2 + 2*k + 33364990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13790 - -14239. What is the second biggest value in -0.4, -0.3, j, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.38660063 rounded to 2 decimal places?\nAnswer: -8.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1 - (-7 + 4). Solve n*h - 3 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10111011?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-1175) - (-5724)\/(-184334).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(3*sqrt(24)\/sqrt(2) + sqrt(12)))\/(((sqrt(3) - sqrt(6)\/sqrt(2)) + sqrt(3))*6 + sqrt(24)\/(-2*sqrt(8) - sqrt(8))).\nAnswer: 3*sqrt(11)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9 - -0.9. Let u = 5.99 + k. Let l = u - -0.52. What is l rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 4\/3*s**3 - 1\/4*s**4 + 2 - 3\/2*s**2 - s. Let v(w) = -3*w**2 - 7*w + 1. Let j be v(-2). Determine c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 96676298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3059 and 30383?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*p = 4*f, 2*f - 13 = 5*p. Let o(i) = -i**3 + 3*i**2 + 3*i + 4. Let t be o(f). Let m be (-2)\/(-25) - t\/6. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 34 + 2 + 1. Let r(i) = -i**3 + i**2 - 2. Let j be r(-4). Let y = j - h. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/6*26*23\/(-897)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/77 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 9*o + 6. Let g be n(-7). Let t = -14 + g. Suppose -2*c - 2 - t = 0. Is -2 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/65*(-12636)\/324?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 14 = -b, b - 3620015*g - 12 = -3620003*g for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -126. Let f(w) = 4*w + 3. Let a be f(-2). What is the nearest to 3 in x, -4, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 241.1194 micrograms?\nAnswer: 241119.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 5)*(0 - 2 + 0)*(12121*p - 6057*p - 6061*p - 320) + 5 + 0 - 2*p - 3 as o*p + q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 3, i: 1, h: 7}. Give prob of picking 3 h.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 186229.5 and 0.7.\nAnswer: 186230.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 754527802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*t + 48, t - m - 28 = -2*t. Let w = 10 - t. Suppose -r + 3*l = -61, r - 76 = -w*r - 2*l. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/115 + -71\/115. Which is the nearest to 0? (a) -1 (b) m (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83344 and 1052218.\nAnswer: 8417744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -11*m**3\/3 - 1. Let v(n) = 187*n + 174*n - 359*n. Calculate o(v(z)).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532374 is divided by 131457.\nAnswer: 6546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:17 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289251 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/50 and 32\/(-24) - 299\/30?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 0*l**3 + 0*l**3 - 4 + 4 - 2*l**3 + 4*l**3 + 2*l**3 - 4*l**3 + (3*l**2 - 4*l**2 + 0*l**2)*(-l + 4*l - 2*l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461269 - 7*p**2 + 16*p**2 - 3340*p - 12*p**2 - 2*p**2 - 96511 = 0. Calculate p.\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 18. Calculate the remainder when 92 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 11*z**4\/12 - 628*z**3\/9 + 38*z**2\/3 + 217*z - 2. Factor u(f).\nAnswer: (f - 38)*(33*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.120737836 + -2.1207. Round h to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 11*c**8\/168 + 19*c**5\/60 + 21*c**2. Find the third derivative of x(q) wrt q.\nAnswer: 1320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 - 313*c**2 + 80*c - 856. Calculate d(52).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 293429565 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 + 248. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 25*t**2. Let k(g) = -2*g**2 + 16392*g - 16392*g. What is k(q(d))?\nAnswer: -1250*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roorrorrroroo. Give prob of picking 2 o.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 3. Let p(x) = -3*x**2 + 7*x + 32. Let g(j) = -p(j) + 5*u(j). Give g(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, n: 5, o: 1, l: 4, k: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 1 (c) -1 (d) 5 (e) 4 (f) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 46, 76, 118, 172?\n\"Answer: 6*l**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/18387?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h**0))*h)**(1\/14)*(h\/(h*h\/(h*h**0)*h*h*h))\/h**(2\/7)*(h*h**(-1)*h\/h**4)\/(h\/((h\/((h**(-1\/4)*h)\/h))\/h*h))**(-4) assuming h is positive.\nAnswer: h**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 674 divide 1299410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(66) - 5*(sqrt(66)*-1 + sqrt(66)))\/(sqrt(18)\/(sqrt(12)\/sqrt(4)) + sqrt(6)) + 4.\nAnswer: sqrt(11)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + 3.04. Let s be (-5)\/8*-4 + -2. What is the nearest to 2\/9 in u, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 14, -2.4 in descending order.\nAnswer: 14, -2.4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14376.4*0.759\nAnswer: -10911.6876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 3*u - 2. Let c be q(-2). What are the prime factors of ((-20)\/6)\/(8\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3025346*s**4 - 2287173*s**2?\nAnswer: 72608304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 58178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Let t = 7 - q. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/5, 0.22, 6, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjsf. Give prob of picking 1 j and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5471467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 9) in base 15?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 28*j - 191 = 1041. Suppose 35 = 2*r + 7. Calculate the lowest common multiple of j and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/176*52\/(-39)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -9 - 31. Suppose -n*a + 7*a = -51. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13059111 and 3978.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 8*a**2 + 6*a + 5. Let u be d(-7). Let f(v) = -v**3 - 7*v**2 + 12*v - 11. Let g be f(-9). What are the prime factors of g\/4 - (-3)\/u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:32 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:58 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 - 13*a + 13. Calculate m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcc when three letters picked without replacement from {b: 7, c: 6, x: 2, q: 1, m: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**2. Let m(g) = -63*g - 68*g + 167*g - g**2 - 36*g. Determine 6*m(d) - w(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpmqmlllpmpl. Give prob of sequence lm.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 22 + -4 + -80 + -31?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/17615905 and 23\/4?\nAnswer: 70463620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*k**3 + 7*k**2 - 5*k**2 - 2*k**2 - 6074*k**3 - 4093*k wrt k.\nAnswer: -36822*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, e: 3}. What is prob of picking 1 e and 1 y?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(1\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6570*y = 6537*y + 165. Let s(w) = -w**2 + 6*w - 1. Give s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6992517 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 0 + sqrt(11) + -2 + (sqrt(99)*5)**2.\nAnswer: 2*sqrt(11) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.05 (c) 1\/4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -188.45. Let x = -0.25 + 0.3. Let d = x - k. Which is the third smallest value? (a) -5 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386582 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-80)*1842\/171. Let k = 41\/19 - t. Let w = 96389\/17990 + -1\/1285. What is the common denominator of k and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621468 a multiple of 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.4 - -12. Let x = -0.9 + i. What is the smallest value in 3, x, 2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 62 + -23 + -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14139860 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 9. Let q be m(9). Suppose 3*c - 5*c + 4 = q. Let d = 18 + -10. Solve 0 = -2*g - 2*w - d, c*w + 1 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 4\/323746267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -31?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-324234)\/20*(-2)\/6. Let b = k - 5409. Calculate the common denominator of -26\/3 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 20*y**2 + 25*y + 47. Suppose -3*l + 22 = -5*u, -10*u - 18 = -5*u - 2*l. What is the remainder when n(u) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 - 3 = 0. Let r(c) = c**2 + 3*c - 1. Let b be r(-4). Suppose -g = b*g - 16. Is g at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaaarr. What is prob of picking 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2177 (b) -7\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -783\/64?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 29 = 7. Suppose -z - 11 = -5*p. Let v be ((-2)\/(-5))\/(2\/30). Solve -p = l - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 11, m: 2, l: 7}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**6\/360 + 7*f**3\/3 + 5. Let j(h) be the third derivative of l(h). Let z(y) = 18*y**2. Give z(j(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4896, 5104, 5312, 5520, 5728, 5936?\nAnswer: 6144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3+5234097743\nAnswer: 5234097740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 395 * -3\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 17 + 17)*(2*v - 30 + 30 - 7*v + 10*v - 7*v + (-2 + 6 - 2)*(1 - 1 + v) + 0*v - v + 0*v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 196 * 1.381.\nAnswer: 270.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 - 7*m**2 - 38*m + 168. Let u be i(4). What is the highest common factor of u and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/21833172 and 65\/196498548?\nAnswer: 196498548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 65643 - 14*m**3 + 3*m - m + 0*m.\nAnswer: -14*m**3 - m**2 + 2*m + 65643","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 58*r**2 + 64*r + 240. Determine v(-57).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 106909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/140)\/(2 + 12 + (-456)\/30)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -113. Let d = w + 177. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/40 and -38?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 8*l**2 + 4*l + 3. Let u be (-8)\/(-2) - (-42)\/7. Suppose -5*n + 2*t = -2*t + 28, 0 = n - 3*t + u. What are the prime factors of x(n)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1.6\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffllfsflffsssfffflf. What is prob of picking 1 l and 2 f?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.5 (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/137 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8500278 times 7?\nAnswer: -54.9501946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, 66, -1.\nAnswer: -5, -1, 0, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 1, k: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**5\/3 + m**4\/2 - 7*m**3\/3 + 2*m**2\/3 + 119*m - 41. Let u(o) be the first derivative of z(o). Determine f so that u(f) = 0.\nAnswer: -2, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -807 = -807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - f + 21*f + 12*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 73 = s. Suppose 6*n = 11*n - s. Suppose n = 2*o - o. What is the greatest common divisor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -25.07. Let k = f + -25.3. Let g = -1\/2 + 0. Which is the second biggest value? (a) g (b) 1\/14 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -1) + (575 - 8)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/17, 36415 in ascending order.\nAnswer: -1\/2, -2\/17, 36415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*i = -172, 5*r + 4*i + i - 285 = 0. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 234?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 109.005 and -0.06?\nAnswer: 109.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 - 1246*n + 38940 = 0. Calculate n.\nAnswer: 33, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15521.8564 - -91068\nAnswer: 106589.8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**2 - 17*m**2 + 24*m**2.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10458556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1455546.\nAnswer: -2\/727773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - 828\/252.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u = 0. Suppose -5 = 5*n - u*n. Sort 5, n, 4.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - 0)*-4*(-11)\/(-22). Calculate the greatest common factor of o and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 5*t**2)*(13 - 13 - 5*t) - 3*t**3 + t**3 + t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -387597, 20 in ascending order.\nAnswer: -387597, -0.3, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 44. Let x be 25\/10*36\/o. Suppose -3*h = -2*k - 6, -2*h = -5*h - 2*k + x. Solve -n = 0, -s - h*s - 6 = -5*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 57*p**2 - 28*p - 3. Let q(s) = 4*s**3 + 116*s**2 + 57*s + 11. Let i(m) = -5*j(m) - 2*q(m). Give i(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/4)\/((-525)\/1800).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:58 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 7. Let p = 39 + -34. Solve -s + 2 = -p*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b. Suppose 4*f - 3*f = -4*z + 23, 3*f - 9 = b. Let r = z - -1. Solve -3*p = -r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h - 12, 4*j - 3*h - 37 = 0. Suppose j*p + 525 = 28*p. What is the remainder when 198 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + 3 + -212 + 200?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.08 * 0.5.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1012 - -656. Let j = -175 - w. Let f = j + -180.9834. What is f rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56493675 divided by -251083?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 8*k**2 - 21*k - 8. Let v be h(-10). Let s(n) = -n**3 + 256*n**v + 2 - 256*n**2 - 3*n + 8*n. What is s(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.646 * 0.0355\nAnswer: -1.265433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12367.4 + -298788\nAnswer: -311155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - h + 0 - 2 + 2 - h + (-1 + 1 + 1)*(1 - 2*h - 1) + 3*h + 0*h - h)*(-4 + 5*h + 4).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0554 + 0.2554. What is the third smallest value in 0.35, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 746, 1308, 1872, 2438, 3006, 3576?\n\"Answer: p**2 + 559*p + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.175 - 0.903. Round x to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1658152?\nAnswer: -497445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1500*j**3 - 3*j**2 - 9*j - 18. Let s(x) = -1746001*x**3 + 3493*x**2 + 10479*x + 20958. What is 6*s(l) + 6986*z(l)?\nAnswer: 2994*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*w + 3*w = -81, -84 = 2*y - 2*w. Let s be (-10)\/y - 220\/18. Is s at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/(-1) + 1 - -24. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 6800 = -38*d - 2*y, 0 = d + 5*y - 3406. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 2. Let z be l(2). Let r be 20*z*(0 + -17000). Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -26. Calculate the remainder when 75 is divided by 1 + h - (-4 + -13).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 8 + 9 - 9*o + 4*o**2. Let x be l(10). What is the highest common factor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 137404*z\/3.\nAnswer: -2*z*(z - 68702)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*u**2 + 26*u**3 + 10 + 0*u**3 - 10 wrt u?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + 7\/(-4). Let b(i) = -2*i - 2. Let d be b(-4). Let n = 4 - d. Is n greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52 + 3338*v + 3*v**2 - 3338*v + (0*v - 2*v + 3*v)*(2*v - 4*v + 4*v) + 2*v**2 + 4*v**2 - 5*v**2.\nAnswer: 6*v**2 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Suppose -5*m = 3*w + w - 22, -m + 4*w - 10 = 0. Suppose 0 = m*y - 3*l - l, 2*l + 16 = 5*y. Sort -1, o, y.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.9 (c) 31 (d) -259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*t - 357*t = 7*g - 34095, 9714 = 2*g + 4*t. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3263541, -3263357, -3263043, -3262593, -3262001, -3261261, -3260367, -3259313?\n\"Answer: l**3 + 59*l**2 - 3263601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1942ad8 (base 14) to base 4.\nAnswer: 233303120312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.3 + -43. Let d = -1.8 - n. Sort 0.5, d, -5\/6.\nAnswer: -5\/6, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44001324 (base 5) to base 16.\nAnswer: 5b9ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-14\/3))**(4\/11)\/(u**(-2\/5))**(-29) assuming u is positive.\nAnswer: u**(-1514\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2. Suppose t + 4*k = 6*t - 176, -106 = -3*t + 2*k. Let y be (-78)\/(-4)*24\/t. Let h(x) = -x**2 - 11*x + y*x - 2*x. Calculate i(h(l)).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n**2 + 6*n + 4. Let z(v) = 21*v**2 - 11*v - 7. Determine 11*o(c) + 6*z(c).\nAnswer: 5*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/4 - (-23625)\/756 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -65. Which is bigger: z or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(284\/(-1704)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89586 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3019*r**2 - 11766*r**2 - 2*r + 2*r + 0.\nAnswer: -8747*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/253 = 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4 + 4*r + 0 - 8*r**2 - 1 + 0 + 2*r**3. Is l(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21857\/3704 - 12\/463. What is the common denominator of 38\/41 and j?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-1840)\/6440)\/(3\/(714\/(-4))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8*u - 48. Suppose -20 = -u*t + 2*t. What is p in 4*p - 1 - 2 + 2 + t - 5*p**2 = 0?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {o: 4, d: 2, a: 2, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -85*m + 86*m. Solve -2*g + 3*l = m, g = 3*l - 2*l - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 2*a + 45*a**2 + 27*a**2 - 6*a + a.\nAnswer: 72*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17592*c - 3*c**2 + 17592*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/6 - 63\/20. Let j(v) be the third derivative of 0*v + 1\/24*v**4 + 0*v**5 + 0 + s*v**6 - v**2 + 0*v**3. Find the second derivative of j(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 28 = 3*z + 6, 2*z + 81 = 3*u. Calculate the greatest common factor of 275 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7867625 greater than -7867628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i**4 - 2303*i**3 - 5*i**2 - 4290081*i.\nAnswer: 156*i**2 - 13818*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-148)\/(-28) - 4\/14. Solve 6*c = c - 4*d + 33, -30 = -4*c - u*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*v - 13, 0 = -3*v - 2*q + 13 + 6. Suppose 2*y + v = -5. Let f be 5 + (y - (1 + -3)). Solve -5*o - f*z = 21, 4*z - 7 = 4*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**3 - 2*b - 9*b**3 + 5*b**3 as n*b + u*b**2 + o*b**3 + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:36 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -94*d + 4. Let l(t) = -375*t + 17. Give 6*l(z) - 26*o(z).\nAnswer: 194*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -8)\/(81\/108) - (-54 - (-193985)\/4620)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10262 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0182 - -3.8282. Let n = f + 0.19. Sort -1, 0.4, n.\nAnswer: -1, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 37. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19108 * -3.\nAnswer: 57324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 14. Let j(t) = -607*t - 591*t + 1 + 1194*t - 1. Give j(m(d)).\nAnswer: -16*d + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3064 - -893. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2*h + 27*h + 0*h).\nAnswer: -58*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -741436 + 741901.341. Let o = n + -463.340629. Let x = -2 + o. What is x rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138628 or 138626?\nAnswer: 138626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.369983 - -37.630347. Let a = y - 46. What is a rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i - 8. Let p = 38 - 48. Let y be j(p). Suppose 0 = -2*v + 4*r + y, 2*r = 6*r + 4. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 14780*s\/7 - 2862018\/7.\nAnswer: -2*(s - 7191)*(s - 199)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4398.589mg to nanograms.\nAnswer: 4398589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 + 11 - 11 + u**4 + 4*u - 4*u + (3*u - 5*u + 3*u)*(-u**3 + 2*u**3 - 4*u**3).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991101?\nAnswer: 3, 31, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20257.43 + -20156. Let h = -24 + -78. Let n = h + u. What is n rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 0.0935\nAnswer: 0.14025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 9*u + 545. Is n(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -23*s + 34. Calculate the remainder when 136 is divided by i(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1513, -1516, -1521, -1528, -1537, -1548, -1561?\n\"Answer: -m**2 - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306065951.\nAnswer: 3967, 77153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 13*t + 16*t - 8, -t + 7 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.3, 2\/11, -2, -356?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 6. Let k(u) be the first derivative of u**6\/360 - u**5\/30 - u**4\/8 + u**3\/3 - 3. Let c(i) be the third derivative of k(i). Calculate c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 75 = -5*c, 5*c - 4*o = 21 + 79. Let n(t) = -15*t**3 - 2*t**2 + t + 2. Let k be n(-2). What is the highest common factor of k and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -4*j**2 + 42*j + 275. Let b be c(5). Solve -15 = 5*q - b*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15748 by -127.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -26, -70, 3.1?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/5460977 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 4. Let w(t) = -t**3 + 6*t**2 + 9*t - 12. Let c be w(7). Suppose -2*m - 15 = 3*h, c*h + 9 = -2*h + m. What is the units digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 1, -1, 4 in ascending order.\nAnswer: -1, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344975556.\nAnswer: 2, 3, 83, 346361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 60. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -20*u + 10 + 3*u + 2. Let z(s) = 9*s - 6. Let n be -10 + 2 + (-1)\/(-1). Let g(t) = n*z(t) - 4*d(t). Differentiate g(y) with respect to y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/7 (b) -2 (c) 0 (d) 1468 (e) -0.5 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1) + (-20)\/(-1). Let b = 23 - i. Suppose -b*a = -306 + 87. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n + 2*n**2 + 1\/6*n**3 + 0. Is z(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Let a = d + -11. Let h(j) = 2 - j**2 + 6 - 3 - 4*j. What is h(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/6 - d**2 + d. Let w(j) = -3*j - 3. Let n(f) = 5*g(f) - 2*w(f). Suppose k + 5 = 5. Calculate n(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5372*a**2 - 13156*a**2 - 13953*a**2.\nAnswer: -21737*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5978 is divided by 137.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 351*v**4 + 1317*v**3\/2 + 771*v**2\/2 + 84*v + 6 = 0?\nAnswer: -1, -1\/2, -2\/9, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*x**5 - 10*x**4 - 4*x**3 - 313*x - 74.\nAnswer: -2860*x**3 - 120*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 6*w + 20. Let c be h(-8). Suppose k - 4*p = -8, 5*p + 17 - 38 = 4*k. Put k, c, 69 in increasing order.\nAnswer: k, c, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*k = -490, 3*v - 6*k + 2*k + 294 = 0. Let d = 99 + v. Let n be (7\/(-15))\/((-1)\/3). Is d at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4506121 - -224?\nAnswer: -4505564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -12. Suppose 3*t + r*q + 6 = -1, -t = -q - 11. Let k = t + -4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-28)*(-52)\/(-195).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 + 2*u**3 - 24*u**2 + 8*u + 32 = 0. What is u?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211359256?\nAnswer: 2, 727, 36341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 56. Calculate the remainder when b is divided by (1 - -23)*(-19)\/(-342)*12 - 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1290165, 2580323, 3870481, 5160639, 6450797, 7740955?\nAnswer: 9031113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-12))\/(5\/150). Suppose -6*c - s = -c. What is the tens digit of c\/7 - 506\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10580853 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102005037 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168f6 (base 16) to base 7.\nAnswer: 533256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27156 and 6?\nAnswer: 27156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797675241.\nAnswer: 967, 1859023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - -1) + (-4809 - -4783)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1294428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 32. Let r = -174 + 3131\/18. Which is the nearest to r? (a) -0.4 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = g + 3*g, 15*y - 22 = g - 25 - 47 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -5*r + p - 42, -2*p = -5*r + 68. Let y be (-1 - -5)*2\/2. Solve -2*x = -2*l + 5*l + 10, -3*l - y*x = r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 18. Calculate g(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17420148 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by 82\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/((-28)\/2))\/((-231)\/(-630))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3112, 3178, 3250, 3328?\nAnswer: 3412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u**2 - 7*u - 74. Let j(q) = 12*q**2 + 7*q + 74. Let r(x) = 3*j(x) + 2*m(x). Differentiate r(l) with respect to l.\nAnswer: -4*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*g + 0*g - 21*g + (-4 + 0 + 2)*(-g - g + 0*g))*(-g + 1 - 1) in the form v*g**2 + l + y*g and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**9\/45360 + l**8\/10080 + l**7\/7560 - l**6\/1080 - 13*l**4\/12 - 9*l. Let s(b) be the third derivative of m(b). Factor s(x).\nAnswer: -x*(x - 2)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 31.6, -0.4, -0.2, 3\/14, 3?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -2062, 5 in descending order.\nAnswer: 5, -1.2, -2062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.1 (c) -2.09 (d) -209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1. Let a(y) = y - 100. Determine a(i) + 5*t(i).\nAnswer: i - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 0.1 (c) 2235 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:33 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*u**2*z - 57*f*u**2 + 5*f*u + 3*f + 2*z + 2 wrt u.\nAnswer: -4*f*z - 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43d3b5 (base 15) to base 11.\nAnswer: 1909907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 + 42*w - 55. Let b be v(-11). Solve -j + 84*o = b*o, 4*j = -2*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzpzpzpzzppzz.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661950 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -0.3, -2\/15, -0.139, 2, 26?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 7*z**2 + 11*z - 6. Determine n(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25304 - -46480. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -761 (b) -0.165 (c) 2\/9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y + 38*y = -66. What is the smallest common multiple of 3 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4969110 and 8760.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/63 and -14\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -1, 15, 33?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 10, 230 in increasing order.\nAnswer: 10, 11, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 234, 4, -36, 0 in descending order.\nAnswer: 234, 4, 0, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -80363487 * -4\nAnswer: 321453948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b - 2 + 2. Let i(h) = 307*h - 156*h - h**2 - 151*h. Calculate i(j(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p - p)*(-2358*p + 1195*p + 1040*p)*(3*p**2 - 6*p**2 + p**2).\nAnswer: -738*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 233725852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59, -244, -553, -986, -1543, -2224, -3029?\n\"Answer: -62*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -209 (b) 2\/5 (c) 5 (d) -5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + sqrt(14)\/sqrt(2) + -2 - sqrt(112)*2)*-6.\nAnswer: 36 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.137716*-1\nAnswer: -0.137716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2354, -2404, -2464, -2534, -2614, -2704?\nAnswer: -2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - 6483\/15)*(-75)\/30. Calculate the highest common divisor of g and 468.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175*-153.\nAnswer: -26775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a - 57*a + t + 56 = 0, -4*a - 99 = a - 6*t for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*c**3 - 7*c - 148*c**3 + 239*c**3 + 5*c - 4*c.\nAnswer: -31*c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-27 + 10) - (10 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + q. Let z be t(1). Suppose 5*v - 469 = -z*p, 6*p - p - 596 = -3*v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d = -4*w, -2*d = -4*w. Suppose 0 = 3*j + 15, -3*j - 12 = -d*u - u. Let q be (1 - 1)\/(u - -1). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -5)\/(6\/18). Let o be (x\/(-9))\/((-8)\/(-12)). What is the second derivative of o*z + 2*z**3 + 2*z - 2*z - 3*z**3 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20812 = 188*k - 1134*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from qqqqrcqycqqr?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/14)\/((-105)\/(-245)). Solve -2*l = -u, -c*u - 30 = -4*l - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106398186 and 4260?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 4*w + 3. Let h(u) = -2*u**2 - 5*u + 4. Let r(p) = -5*h(p) + 6*s(p). Calculate r(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - d + 16 = -22 + 20, -3*d + 59 = g + 61 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + 15\/5. Suppose 0 = -3*u + l*d + 16, -2*u - 2*d + 3 = 3*d. Let v be (-2)\/2 + 10\/14. Which is the nearest to v? (a) u (b) -1 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28749098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 777779, 3111086, 6999931, 12444314, 19444235, 27999694, 38110691?\n\"Answer: 777769*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2 + 11920*t = 0.\nAnswer: 0, 11920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -44) + -7 - (-6 + 33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1079892 and 2916?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p + 69. What is the greatest common factor of p and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -29465550?\nAnswer: -1\/5893110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -853, -6317, -20789, -48661, -94325?\n\"Answer: -732*t**3 - 112*t**2 - 4*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 47. Suppose 185 = v*u - 1146. Let m = 252 - u. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 - 1.4. Suppose 5*f - 2 - 3 = 0. Let y = 2 + -4. What is the closest to f in n, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/171488 and 47\/21436.\nAnswer: 171488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 11)\/(-9*(0 + -5)). Let f(g) be the first derivative of 1\/27*g**6 - 1\/18*g**4 - d*g**5 + 3 + 2\/27*g**3 + 0*g**2 + 0*g. Let f(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430019724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-20)\/4) + -3. Suppose -3*z = 6*i - p*i + 12, 0 = -5*z + i - 14. What is the units digit of z\/(-6)*2 - -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-5)\/14)*(-1188)\/154*(-51)\/(-153).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53640 in 0, -7.4, 5?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((176\/(-33))\/(-16))\/(12\/(-54)*69\/(-2438))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -626 and -424907 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32.94 * 18336\nAnswer: 603987.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*h - h = 966 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -226, -194, -148, -88, -14, 74?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*q**2 - 421661 + 210856 - 2*q + 210842)*(2*q**2 + 2*q**2 + 0*q**2).\nAnswer: 224*q**4 - 8*q**3 + 148*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8143 + -8138. Let d = 53.4 - 53. Let l = 0.1 - -0.1. Put l, -7, a, d in decreasing order.\nAnswer: a, d, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563\/11106 - -3\/617. Let f(u) be the second derivative of -1\/3*u**2 - k*u**3 + 0 - 19*u + 1\/12*u**4. Factor f(y).\nAnswer: (y - 1)*(3*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38136 and 336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159039 by -53013.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17731 = 461034*k - 461183*k for k.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/((-54)\/135). Suppose u*j + 77 = 14*j. What is the highest common factor of j and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**3\/3 + 3208*u**2\/3 - 19916*u + 62640 = 0.\nAnswer: 4, 15, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244866 is divided by 15304.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.060501ms?\nAnswer: 6060501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 4*y + y**4 + (-3*y**3 + 0*y**2 + 0*y**2)*(0 + 0 + y) as p*y + a + x*y**3 + b*y**2 + m*y**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.061604 and -70 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*s + u, -101*s + 2*u - 2 = -100*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246841951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*x + 15 = -10*c, 2*c + c + 59 = 7*x for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 + -167. Let i(y) = 11*y**2 - y + 3. Let c(s) = 7*s**2 - s + 2. Calculate m*i(o) - 8*c(o).\nAnswer: -o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(32))*6 - ((sqrt(162) - (sqrt(162) - (sqrt(162) + 0 + sqrt(162))) - sqrt(162)) + (3*(-1 + sqrt(2)))**2)) + 1.\nAnswer: -8 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 8*t - 7. Let g be q(-6). Suppose 3*i - 17 = -g. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 8 - 10 + 34 - 18 - 14*d**2.\nAnswer: -15*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/14)*u)\/u*u*u\/u**(2\/35)*((u\/u**9)\/u*u)\/(u\/((u*u*u**(-8)*u*u)\/u)) assuming u is positive.\nAnswer: u**(-789\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05307 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(1\/6) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-11))\/q)\/(q\/q**(9\/4)*q) assuming q is positive.\nAnswer: q**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*y + 522. Let i = y - -263\/3. Solve 0 - 4\/3*u**3 - 1\/3*u**4 - i*u - 5\/3*u**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/3 - 28*u**4\/3 - 50*u**3\/3 - 8*u**2.\nAnswer: -2*u**2*(u + 1)**2*(u + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1\/5, -0.035, -4, -1\/3, -23, -3?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 2*d**3 + 2*d + (2 + 0 - 9)*(6*d**3 + 8*d - 8*d) - 15*d + 15*d + 17*d**3.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:58 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (2 - 50) - 25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -2*c - 2*v, 2*c + 6*v + 76 = v. Let f = -19187\/6 + 3174. Find the common denominator of f and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 2*o + 1. Let g(d) = -5*d**2 + 9*d + 5. Let w(m) = -9*f(m) + 2*g(m). Find z, given that w(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207853*l - 3714.\nAnswer: -207853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.6119 and -0.11.\nAnswer: 0.947309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + 262\/8. Let h = a - 50. Is (-3)\/(1 + 18\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289600841, 579201684, 868802527, 1158403370, 1448004213?\nAnswer: 1737605056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 22 = -9*h. Calculate the highest common factor of 20 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from nuoooononuoooonuonnu.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 6, f: 2, d: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/9 - 8\/18. Let f(j) = 97*j**2 + 4. What are the prime factors of f(g)?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384197 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 - 4*x - 5. Let t(c) = 5*c**2 + 4*c + 4. What is 3*p(j) + 4*t(j)?\nAnswer: 8*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 49*z**2 - 496*z + 4139. What is d(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -118*f**2 + 9*f + 43. Let u(k) = 60*k**2 - 4*k - 22. Let z(s) = -4*p(s) - 9*u(s). Find the first derivative of z(c) wrt c.\nAnswer: -136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522*c - 334*c - 17*c.\nAnswer: 1171*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 19*j - 4*j**2 + 67 - j**2.\nAnswer: -5*j**2 + 19*j + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 9. Let z be s(-3). Let q = 20 - z. Suppose 2*y = 3*x + 442, -5*y - 7*x + 1105 = -q*x. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9977\/6 + 1663. Put -0.5, 6, 3, s in increasing order.\nAnswer: -0.5, s, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-20)*-65*(-36)\/702?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*i + 12 = 0, -18 = -3*b - 120*i + 125*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11846*k**3 - 24201*k**3 + 11349*k**3.\nAnswer: -1006*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-6) - 6 - (-2 - -5). Sort -15, o, 5.\nAnswer: -15, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -496.7 + 491. Let s = x + 1.7. What is the fourth biggest value in -3, -2\/11, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r + 8. Let n be l(-8). Let s be (-3)\/(14\/n + 1). Solve 0 = -s*v + 3*t + 12, 4 = -v + 2*t - 3*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paxxa. What is prob of sequence aap?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-20)*(-8)\/((-80)\/165) and (3\/(-16))\/3*43.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62842a (base 12) to base 11.\nAnswer: -96878a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72854022429588 and -3.\nAnswer: -72854022429591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let q(i) = 4*i - 7. What is -q(b) - 5*v(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-2 - -6))\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2274, 3854, 5436, 7020, 8606, 10194, 11784?\nAnswer: 13376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6d + -2277?\nAnswer: -30e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + -1 - 158\/(-40) and -3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -178 + 443aa2?\nAnswer: 443925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = 0, -5*k - 9*o + 5*o + 6765012 = 0. What is k rounded to the nearest 10000?\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2798043.01759?\nAnswer: -2798040.01759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 232146963 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: Let r = 2 - 3. What are the prime factors of (r - -5) + -2 - -8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-58 + 74 + -19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.431866km in millimeters?\nAnswer: 7431866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11*(-3)\/(-2)*6\/9. Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053) + 4 + (sqrt(1053) - -6*(sqrt(1053) + 1)) + 1 + 0 + 1 + sqrt(1053) + -1 + sqrt(1053) + 0 + -1)**2.\nAnswer: 1260*sqrt(13) + 51697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -139a5?\nAnswer: 139a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4613?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(88) - (sqrt(88) - sqrt(88)*-1) - sqrt(88)) + sqrt(88)) + -4*(sqrt(88) - (6*sqrt(88) + sqrt(88) + sqrt(88))))\/(6*-1*sqrt(392)*2).\nAnswer: -8*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/13, -5, 54, -0.1, 1\/12, 32.\nAnswer: -5, -0.1, 1\/12, 8\/13, 32, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53730)\/(-286560))\/((-249)\/32)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/3 - 264\/(-198). Suppose h = -2*c - 2 + 7, 4*c = w*h - 15. Which is smaller: c or -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 5*p - p)*(5 - 1 - 2) + p + 2*p - p + ((4 + 1 - 3)*(-4 + 1 + 2) - 16 - 33 + 36)*(2*p - 3 + 3)*(1 + 3 - 2) in the form q*p + d and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6935 - 6475. What is the lowest common multiple of z and 690?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Let i = o + -3.1. What is the nearest to i in -5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2303*d**2 + 4584*d**2 - 6*d**3 - 4 - 2284*d**2 - 3*d. What is u(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l**2 - 7*l + 6. Let b = 132 + -131. Calculate the remainder when 38 is divided by c(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 1}. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/137?\nAnswer: -6\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 577*g**2 + 4149*g - 12469. Calculate a(3).\nAnswer: 5171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.8 + 21. What is the nearest to 0.1 in t, 3\/5, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2156*u - 2162*u - 3 + 4319*u. Let s(d) = d + 1. Let y be s(-1). Calculate c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 (base 10) to base 8\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4838*-0.69\nAnswer: -3338.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*x + 9 = 0, -p - 5*x = -4 - 8 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.573624 to 2 decimal places.\nAnswer: 3.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/5)\/h*h)\/(h*h\/(h*h**(-12))*h)*(h**(3\/10)*h)\/(h\/(h\/(h\/h**(1\/14)))*h))**44 assuming h is positive.\nAnswer: h**(-21604\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**6*n)\/n*n**(-23)*n)\/(n**(-9)*n\/((n**(9\/7)*n)\/n*n*n)) assuming n is positive.\nAnswer: n**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = 15*c + 179 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m**3 + m**2. Calculate d(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 12. List the prime factors of (4 - m) + -2 + 37.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2306559 <= -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 0.4 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-74)\/12 - -308*22\/(-1848).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915395071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1950 + 3789. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.75607 to 2 decimal places.\nAnswer: -16.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483781?\nAnswer: 373, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1033 - -23760\/23. Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21\/3*75330\/651 and 162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275065 divided by 58335?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 9*p + 21. Let x be g(6). Suppose -n - 405 = -5*n - x*u, -5*u + 80 = n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -5. Solve 2*c + 4*j = -8, 4*j - 3*j = 5*c - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (-6*2*sqrt(1078))\/((sqrt(720)*-1)\/sqrt(10))) + 4.\nAnswer: 9 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/678 in 2.15, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 35. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 614 - 590. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 9*v**2 - 5*v + 11. Determine n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -74 (b) 0.4 (c) 0 (d) 3648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -7*u**4\/24 - 2*u**3\/3 + 2*u**2. Let b(f) = 1. Let m(a) = b(a) + p(a). What is the units digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 375 + 3*v + 255.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*n**2 + m*n - 645*m + 276*n**4 + 2 wrt n.\nAnswer: 4*m*n + m + 1104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33325750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32184301?\nAnswer: 379, 84919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 9*m**2 + 2*m - 16. Let h be a(9). Solve -c = -h*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6765 divided by -15613.\nAnswer: 6765\/15613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x - 10. Determine l(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y + 3. Let z be t(0). Let q(u) = u + 4. Let x be q(6). Suppose -4*p + x = -2. Calculate the highest common factor of z and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001001010 (base 2) to base 7\nAnswer: -6121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:15 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 206*h - 211*h, -4*u + 3*h = 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15584553 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-252) - 128\/90. Is y at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12420660 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -233884 (base 9) to base 13\nAnswer: -4c066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/66 and 69\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 3, -48 in increasing order.\nAnswer: -48, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:29 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 1 = 62. What is the remainder when 18 is divided by ((-1 - -5) + d)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1020494 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k - 2. Let i be (752\/32)\/(k\/(-24)). Suppose -717 + i = -3*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, 26\/9, -0.12, -45, -778, -3, 1\/8?\nAnswer: -778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + 33. Let m = a - -115. Solve -4*i + 11 = -3*w - 4, 5*i - 20 = m*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**3 - 305309064*k**2 - 74374906 wrt k?\nAnswer: 3*k**2 - 610618128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 18. Let h = 16 + q. Which is bigger: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45074 and 28292.\nAnswer: 637616804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gphhahsppah. Give prob of sequence aahh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40\/899 + 5015\/11687. Do -56 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32600?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4 + 98301*i**3 + 15162381*i**2 - 30619661*i + 15358980 = 0.\nAnswer: -156, 1, 98455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 5*j + 67 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0 - 1\/10*i**5 + 0*i**2 + 1\/4*i**4 + i + 0*i**3. What is the third derivative of b(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 - -23) + (-24)\/(-2). Let u(l) = l**3 - 16*l**2 + 15*l - 1. Calculate u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137530267.\nAnswer: 7, 29, 769, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 29, 57, 103, 173, 273, 409?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(2736))*3 + 5.\nAnswer: 59 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 30. Let n be (52\/g - 4)*135. Suppose 58 = k - 4*r, -n = -5*k + 2*r + 164. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -49.046. Let p = o - 24.046. Let z = p + 26. Which is the smallest value? (a) 3\/5 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (712*l + 15*l**2 - 712*l)*(2*l - 2*l + 2*l) - 4*l**3 - 27*l**2 + 27*l**2 + (l - l - l**2)*(-3 + l + 3).\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 11*t + 13. What is k(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let n = f - 2.1. Let v = 0.277 - -0.123. Which is the nearest to n? (a) 2 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/1344 - q**7\/126 + 5*q**6\/144 - q**5\/12 + 13*q**4\/12 - 36*q**2. Let i(w) be the second derivative of v(w). Factor i(d).\nAnswer: 5*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 15*s**2 + 13*s + 3. Let u be v(-10). Suppose -3*g = 2*w - 285, 4*w + 168 = g + 717. Let j = u - w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17ca5 + 1157?\nAnswer: -16b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -102*((6\/(-8))\/((-63)\/12))\/((-12)\/42)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9713 + 9713.0012144. Round f to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 16*h + 14. Let b = -14 - -25. Let u be g(b). Suppose u = -0*q + 5*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/w**(3\/2)))**41*(w\/w**(1\/9)*w)\/w*w**1)**(-40))**(-6) assuming w is positive.\nAnswer: w**(16120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 0) - (-1 - (1 + 8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5302.8 + -5303. Let k = 58 - 60. What is the smallest value in k, -1\/108, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 340.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1854 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 - 5*v - 7. Let j be ((-24)\/(-15))\/(2\/10). Let f be o(j). Suppose 5*w + f = 3*a, w + 0*w = 3*a - 93. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207579175 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3130265, 6260468, 9390683, 12520916, 15651173?\nAnswer: 18781460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuijitj. Give prob of sequence uj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, b: 6, h: 1}. Give prob of sequence blb.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-18))\/((-2)\/(-3)). Find the third derivative of -6 - 5*x**5 + r*x**2 + 11 - 5 wrt x.\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50869 and 147189.\nAnswer: 24874941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = -4*z. Suppose z - 24 = -5*j. Suppose -j*o + 30 = -2*m - 0*o, 0 = 4*o - 20. Sort 0, m, 3 in increasing order.\nAnswer: m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -1648 + 1670. Let t be -1*(-2)\/7 + (-9)\/(-9). Factor -3*a**j + 15\/7*a + t*a**3 - 3\/7.\nAnswer: 3*(a - 1)**2*(3*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 34115104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*f - 12. Let a be 15\/5*f\/(-3). What is the tens digit of a\/(-1)*75\/12*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 83*a + 136. What is u(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*r - 263 = 0, r + 709 = -21*x + 24*x. Let g(a) = -9659*a - x*a**2 + 9659*a. Let p(t) = t**2. Determine p(g(b)).\nAnswer: 56644*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 39?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14490 and 430330.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-21) + 2\/7. Suppose -2*n - 72 = -4*h - 6*n, -u*h + 27 = -5*n. Suppose -h - 15 = -s. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117827491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34352813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350291.\nAnswer: 3, 659, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - 37*f - 46. Determine k(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 130734812 + 13*m**2 + 130734812.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(1152)*-1)**2 + 1.\nAnswer: 41473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 1 + 4)) + -3 + (0 + sqrt(1053))*-6*6))**2.\nAnswer: 20160*sqrt(13) + 5159955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156727*h**3 + 107*h**2 + 8*h + 139856.\nAnswer: 940362*h + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dckk when four letters picked without replacement from {k: 3, d: 3, e: 1, c: 1, m: 1, o: 6}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 22*n**2 + 13*n**2 - 33*n**2 - n**3 - 2*n. Calculate j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4480155 is divided by 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8987 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16825*m - 8411*m - 8414*m - 230*m**3.\nAnswer: -230*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j - 2. Let v(m) = -5*m + 42. Let k be v(8). Let t(a) = -5*a - 5. Let z(o) = k*t(o) - 5*l(o). Let d(u) = 3*u**2 - u + u. Give z(d(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/3 - 2536*o**3\/3 - o**2\/3 + 2536*o\/3 = 0.\nAnswer: -1, 0, 1, 2536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 9. Let p(c) = -2*c + 17. Let k(y) = -5*i(y) - 3*p(y). Let w be k(8). Find the first derivative of -8 + 2*n**2 - 4*n**4 - 4*n**4 - w*n**2 wrt n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3217031\/1044 - 43840\/261. Let o = k - -3258. Let a = 5702\/7 - 44923\/56. What is the common denominator of o and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -512*a**2. Let g(f) = 484*f**2. Calculate u(g(z)).\nAnswer: -119939072*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -3, -1.\nAnswer: -3, -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 22. Let i be h(-22). Suppose 3*c - 2*w - 55 = i, 30 = c + 3*w - 3. What is the remainder when 30 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 1883*s**2 - 7492*s + 10. What is r(-4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pspus. What is prob of picking 1 u, 2 s, and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**3 - c**2 - 7. Determine t(2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1060804 or -1060357?\nAnswer: -1060804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 - 2*b**2 - 5 - 79*b**2 + 5.\nAnswer: -99*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56651 + 2977 = 258*t - 54150. Calculate the lowest common multiple of t and 441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - i = 11, n + 10 = 4*i - 3. Let l(o) = -o**3 + 4*o**2 - 1. Let r be l(4). Is n at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 820.1543 rounded to the nearest 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 132.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 14 - r**2 + 19 + (-11 + 4 + 1)*(2*r**2 - 2*r + 2*r) as o*r + u*r**2 + n and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22.9817+25\nAnswer: 2.0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3201.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8.8. Let u = 1 + 1. Let r = -1.46 + 0.46. Which is the nearest to r? (a) t (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4753639*0.065\nAnswer: -308986.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5463905659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 s when four letters picked without replacement from {g: 3, s: 4, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 9 = 0. Suppose 2*s = 3*k + 1, s - w*k = -1 - 0. Let o be 0\/(-4) + 1\/s. Which is the nearest to 0.1? (a) o (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:21 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7586605.\nAnswer: 5, 13, 19, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f + 35. Let x be b(7). Let c = x + -80. Which is greater: c or -17\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*x = -20, 2*p = -p - 3*x - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 47. Calculate the smallest common multiple of p and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 405 - 1125. Let f = 719.999998472 + i. Round f to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*x = 3, 0*x = 2*m - 5*x - 21. Suppose 3 = 3*k - 0, 1001 = z - m*k. Suppose 0*o + 3*o + 5*y = 1487, -3*y = -2*o + z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*w - 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -448 or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**3 - 2*v**2 - 2*v - 1. Let u be z(-1). Let q be 52\/10 + 2\/u. Suppose -q*x + x = -4*m - 120, 3*x - 102 = -3*m. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 8 = 4*h. What is the units digit of 8 + 1\/h*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 12. Let w be m(-12). Let f = w - 8. Solve -f*s**5 + 26*s**3 - 3*s**4 + 189*s - 207*s - 2*s**2 + 9*s**4 - 4 - 4*s**5 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.2 + -8.3. Let g = -0.2 - -2.2. Let j = g - -2. Which is the closest to t? (a) j (b) 0.08 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 44\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k**3 - 37*k**3 - 4 + 4 + 72*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.90329 + -26.9. Round a to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, 208, 319, 432, 547?\n\"Answer: t**2 + 106*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j = 3*s + 41*j + 1, 0 = 3*s - 5*j - 49 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6051330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 5*s - 4*s = -30, 0 = q + 5*s + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.1 (c) 0.09 (d) -1132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083*i + 1098*i + 3 - 3295*i + 1097*i.\nAnswer: -17*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/40*95\/(-228)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = -43*x - 228 - 40 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 12, -5*l + 0*j + 17 = -4*j. Let t be (9 - (-2 + l + 1)) + 3. Let c be (-9 + 6)*t\/531. Is c at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 8*w - 88 = 0. Which is greater: w or 56\/5?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8448)\/43648)\/(1\/527)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from vzvvxzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -17 - (11 - 3)) + 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -998a7 + 97?\nAnswer: -99810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 1\/1*(-11 + 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(18) - (3 + sqrt(18) + -1 + sqrt(18)))).\nAnswer: -3*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 1. Calculate i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.916 + -1.316. What is the second biggest value in -0.29, g, -8, 3?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71.03 + 63.03. Put v, 1, -15 in descending order.\nAnswer: 1, v, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/550 and -59\/1210?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n - 34. Suppose -n*s + 177 = 51. Suppose -s = -k - 6*k. Solve -4*b = -v - k*v - 3, v + 2*b + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -g + 121 + 140, 4*g = -s + 1027. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208) + 1 + sqrt(208) - sqrt(208)) + -2)**2 + (sqrt(13) + 2*sqrt(1300))**2 + 2.\nAnswer: -16*sqrt(13) + 6568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24214*r + 4092164. What is z(-169)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 9888500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 14) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 4. Let g be i(-8). Suppose -g*t = -x - 1, -x - 5*t + 20 - 3 = 0. Suppose -2*k + 9 = -x. What is the least common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 60.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*q - 2)*(15*q**4 - q**4 + 16*q**4) + (4 - 4 + 2*q)*(q**4 - 2*q**4 + 2*q**4).\nAnswer: -118*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*(0 + -2*sqrt(1573) + sqrt(1573)) + ((1*sqrt(91) - sqrt(91))*-3 - sqrt(91))\/(-2*sqrt(112)))**2 + -1).\nAnswer: -398061\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 4*a + 2. Let q be -7 - (-2 - (0 - 1)). Let s = -3 - q. Let c be k(s). Solve x + 2*p = 0, c = -3*x + 3*p - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 - 100770*k.\nAnswer: -100770*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d**3 + 9*d**2 - 5*d + 3. Let q(i) = 7*i**3 + 4*i**2 - 2*i + 1. Suppose 369 = 5*m - 71. Suppose -m = 13*p - 35*p. Give p*c(l) - 9*q(l).\nAnswer: -3*l**3 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/120 - a**5\/10 + a**4\/4 - 7*a**3\/6 + 38*a**2. Let m be q(-7). Solve -w = -m*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13442 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: Calculate the greatest common divisor of 709 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 580*o + 1735. Let c be n(-3). Sort c, 25, 6, -1, 1 in descending order.\nAnswer: 25, 6, c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 757767267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, 32, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90004*o**2 + 0*o + o + 2*o + 2*o - 6*o.\nAnswer: 90004*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -48*z + 97. Let f(o) = 92*o - 193. Let k(j) = 4*f(j) + 9*s(j). Differentiate k(w) wrt w.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = -29. Let u = d + 1. Is (1 + (-15)\/u)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*((-114)\/(-18))\/((-2)\/(-12)). Suppose -563*w = -s*w. Solve w = 6*k - 0 - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a8a31 (base 13) to base 14.\nAnswer: -138609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969239 is divided by 95?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23045*t - 199283.\nAnswer: -23045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 25 = a - 2*q, 14 = -2*a + 4*q. Suppose 5*j - 159 - 26 = -2*p, 0 = 2*j - a*p - 55. Let o = -21 + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 22. Let l be g(12). Let f be l*(-5)\/((-125)\/20). Let c(i) = -4*i**2 + 27*i + 4. Let d be c(f). Is d at most -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56477513.\nAnswer: 113, 499801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 215 = -442. Suppose t = 6*n + 43. Let j(m) = -6*m + 1. Let v(r) = r. Determine n*v(w) + j(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1016222, -5, 1.\nAnswer: -5, 1, 1016222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20255 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -37. Let f = 5 + a. Let v = -31.9999967 + f. What is v rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r*r*r**(3\/4)\/r)**(-8\/7) assuming r is positive.\nAnswer: r**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = 0, x = -3*m + 5*x + 4. Suppose m = -5*u - 5*d + 25, 2*u - 12 = -3*d + 2. Sort 4, u, -1 in descending order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5\/4 + 45*n**4\/4 + 123*n**3\/4 - 405*n**2\/4 - 675*n\/2 = 0 for n.\nAnswer: -10, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -325669 + 325666. Let p = 2 + -2.01. Let g = p - -0.31. What is the third biggest value in g, 3, n, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*g**2*z - b*g**2 + 3*b*g*z**3 + 13943*b*z**2 + 7*g**2*z**2 - 2*g**2*z + 15*g**2 + g*z wrt z?\nAnswer: 18*b*g*z + 27886*b + 14*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400*o**4 + 491*o**3 + 204743*o**2 wrt o.\nAnswer: 9600*o + 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -2*l**3\/3 + 4*l. Let r(x) = -82*x**2 + 77*x**2 - 2 + 2. What is j(r(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*a - 882*a + 6*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2. Let j(a) = -15*a**2. What is h(j(g))?\nAnswer: 1350*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4707097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:13 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 279.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.69486 millilitres to litres.\nAnswer: 0.09269486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91594 - -6?\nAnswer: 9159a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 26732, 26736, 26740, 26744, 26748?\nAnswer: 26752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*s**4 + 21*g**3*s - 172*g*s**4 + 4*s wrt s.\nAnswer: 24*g**3*s**2 - 2064*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 67. What is the nearest to -0.2 in 0.02, -5, y?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1575 + -1575. What is the closest to -5\/4 in k, -0.6, 2\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -81497*b**2 - 10*b + 14. Let q be r(-6). Let h = 437030 + -170848. Let c = q - h. What is c rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/42 and 167\/546.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**7\/2100 - w**6\/225 - w**5\/60 - w**4\/30 - 5*w**3\/6 - 6*w. Let x(h) be the second derivative of z(h). Factor x(g).\nAnswer: -2*(g + 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5320201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 j, and 1 u when four letters picked without replacement from ummjpmmmmmbjvjmjjmbj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 100, 233, 490, 913, 1544?\nAnswer: 2425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206368, -14, 20, 5, -2 in increasing order.\nAnswer: -206368, -14, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*-5*-4*sqrt(5) + (-5 + sqrt(5)*1 - (sqrt(10)\/sqrt(2) + sqrt(5))*-3))*5)**2.\nAnswer: 706250*sqrt(5) + 39918750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 + 6*y + 31. Let v(x) = 17*x**2 + 18*x + 94. Let p(l) = -8*j(l) + 3*v(l). Is p(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 + 18*b**2 - 38*b**2 + (-4 + 1 + 2)*(-b**2 - 2 + 2).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*p - 188 = 0, -2*p = -3*z + 57 + 57. Suppose -6*g + 10*g - z = 0. Let c = g + -9. Which is smaller: c or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -75. Suppose 5*l + 3*a = 2*a - 53, -4*l + 3*a - m = 0. What are the prime factors of (2 - l - -3)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/45410 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2688.068ml to litres.\nAnswer: 2.688068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-14))\/((-6)\/14). Suppose -5*x + 7*x - 4 = 0. Let h = 2 - x. Which is greater: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i + 37*i + 28*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110921\/5 or 22184?\nAnswer: 22184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 143982 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 977083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (-56 - -74)) + 32?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3*1)\/((-78)\/(-52))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-1 + 3)) + 55. Let p = -34 + k. Suppose 5*w - 5*l + 3 = 13, -5*w - 4*l = -p. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 760 = 2*f, 5*f - 237 = -a + 143. List the prime factors of a.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2135511 = f, -38*h + 42*h + f - 1708408 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 + 2*s + 177693. Let n be w(0). Suppose n + 11957 = 10*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019871 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.1. Let s = -0.12 - -0.17. Let j = s - 3.05. Which is the nearest to h? (a) j (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63264 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*y - 85, 0*y - 6 = -2*y. Suppose 15*x = n*x - 660. Calculate the remainder when x is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/59650 and -117\/50.\nAnswer: 59650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*x - 15 = 0, -4 = -2*x + 4. Let t(m) = 37*m - 183. Let r be t(l). Solve -6*v + 3*v - 8 = 2*p, r*v = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/7 (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26867*r = 26871*r - 28. Calculate the greatest common divisor of r and 8001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*i**28*i)))\/i)\/(i\/i**(3\/8)*i))\/(i\/i**(5\/3)*i*i**24))**11 assuming i is positive.\nAnswer: i**(803\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-798)\/133*(-1)\/((-135)\/(-20)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:00 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3623790?\nAnswer: 2, 3, 5, 199, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2020 and 18280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -499002.45.\nAnswer: -499002.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 7*v**2 - 8*v**2 + 0*v**2 + 17.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16640740729 take away -0.1?\nAnswer: -16640740728.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 127103732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 1 (b) -7 (c) -154 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t + 60 = 0. Let r be (6\/5)\/((-6)\/t). Let i(l) be the second derivative of -l**5\/20 - 5*l**4\/12 - l**3\/3 - l**2 + 8*l. What is i(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 divided by 56?\nAnswer: 187\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22483 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2 - m**2 - 173869*m - 173864*m + 347715*m. Let j(t) = 1. What is -4*j(h) - w(h)?\nAnswer: h**2 + 18*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5424.16 nanometers to micrometers.\nAnswer: 5.42416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 - 11 = -3*y, j + 15 = 3*y. What is the third biggest value in 4, y, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 444, 639, 834, 1029, 1224?\n\"Answer: 195*s + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2995198.2 months to years.\nAnswer: 249599.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Let p be 1 - ((-109)\/(-55) - 1). Let v = p - -97\/715. Sort v, 3\/8, h in increasing order.\nAnswer: v, 3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.019, 3.71, 4 in decreasing order.\nAnswer: 4, 3.71, 0.019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 11. Let k(g) = 5*g + 10. What is 2*k(b) + 3*v(b)?\nAnswer: -2*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8186620 divided by -598.\nAnswer: 13690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let h be c(0). Suppose h = -8*a - 10 + 26. Let v(s) = 13*s**3 - s**2 - 3*s + 2. What is the tens digit of v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53240, -53238, -53236, -53234?\nAnswer: -53232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*m + 429, -u - 265 = -4*u + 2*m. Let n = u - 42. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7) + 1)*-5 - (sqrt(567) + sqrt(567) + sqrt(567) + -3 + -1 + sqrt(567) + sqrt(567)))**2.\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 116. Sort -3, 36, s.\nAnswer: -3, s, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.104, -2\/15, 4, 553?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/((-1)\/1)*(-21)\/(-12). Let g(k) = k**3 - k**2 - 1. Let s be g(4). Suppose s + y = r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 - 5*b. Let u(f) = -6*f. Determine u(v(w)).\nAnswer: 36*w**2 + 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + ((-12)\/(-6) + 6 - 2). Let g(y) = -y**3 - 2*y**2 - y + 1858. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 5*r - 78*r.\nAnswer: -75*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5de24a (base 15) in base 7?\nAnswer: -53162416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100336, 101371, 102406?\nAnswer: 103441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.57 in 12\/37, 4, 0.335?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2416 + 542 = 17*f. Calculate the smallest common multiple of f and 33.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -3 (c) 7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 5*n + 0*n)*(0 + n**2 + 0)*(-275 - 72 - 56).\nAnswer: 1612*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/70*((-2)\/(-1))\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2187582 + -0.01.\nAnswer: -2187582.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -82, -1\/11, -9?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 times -397\nAnswer: -2223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + a**3 + 3)*(a - 5*a - 2*a).\nAnswer: -6*a**4 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 26*a**2 + 0*a**3 - 67*a**2 + (0*a - 2*a + 0*a)*(-a**2 + 1 - 1).\nAnswer: a**3 - 41*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -10. Let y(w) = 17*w**2 + w. Let o be y(k). Let q be (1\/3)\/(5\/75). Solve o = -q*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/14)\/(g*g**(-2\/17)) assuming g is positive.\nAnswer: g**(-159\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1347343\/176 + -7655. What is the common denominator of -49\/264 and l?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z + 5. What is b(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - y + 126 = 0, 0 = -y - 11 + 10. Let j = f + 123. Put 4, 1, j, -3 in increasing order.\nAnswer: j, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let z be (s\/4)\/((-2)\/8). Suppose u - 10 + 2 = -2*o, 0 = -4*o + z*u + 16. Is 4 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3249322 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16649 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 4*q + 2. Let v(m) = -m - 2. Let x be v(-6). Let g be a(x). Suppose 18 = 3*y + 3. Solve g*f = -y*c - 25, 5*f = -c + 5*c + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(20)\/sqrt(4) + 1 + sqrt(5) + sqrt(320) + (sqrt(320)*4 - sqrt(320) - sqrt(320)) + sqrt(320))**2.\nAnswer: -17343 - 204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(272) - sqrt(17)) + -2 + (sqrt(68) + 0 - sqrt(68) - (-3 + (sqrt(17) - (-1 + sqrt(17))))))**2 + -4.\nAnswer: -14*sqrt(17) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58384535 - 1634532785\/28. Let s = 8361 - g. Let d = -20\/7 - s. Which is the second smallest value? (a) d (b) -1\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -97*d**3 + 8*d**2 + 29*d + 11. Is g(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130000 (base 4) to base 14.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4 + 5*b - b - b**3 - 5*b**2 + 2*b. Let n(i) = -i**2 - i + 5. Let t be n(0). Suppose v + v = -m, 39 = -4*m + t*v. Give u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182653178*d**2 + 91326595*d**2 + 91326578*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*u - 1970 - 1742 = 0 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-1 + -1 + -5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 - 2*k**5\/15 + k**4\/24 - 2*k**3\/3 - 4*k**2. Let a be o(8). Suppose 0 = -2*h - a + 8. Solve h*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 8*d + 4. Let l be c(8). Does 5 divide 11 - ((-5)\/10)\/(2\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30685236 is divided by 197969?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 3*w + 91. Let f = w + 23. Let d be 4\/(-10) + (-168)\/f. Solve 4*r = -d - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*y - 3222, 2*y + k = 4*y - 2133. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 16) to base 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(77)*1 - sqrt(77))\/sqrt(11) - (2 + sqrt(343) - sqrt(7)))**2 + 4 + (-1*(sqrt(1008) + 3))**2.\nAnswer: 96*sqrt(7) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8803946, -17607886, -26411826?\nAnswer: -35215766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3479 divided by -186.\nAnswer: -3479\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21920001.\nAnswer: 3, 47, 155461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*d**2 + 92*d**2 + 92*d**2 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/7 - 20*m**3\/7 - 248*m**2\/7 - 688*m\/7 - 576\/7 = 0.\nAnswer: -4, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3306.00035762 - 3306. Round i to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 19*w**2 - 12*w + 14. Let n(p) = -p**3 + 18*p**2 - 12*p + 15. Let j(h) = 2*l(h) - 3*n(h). Is j(-17) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00180189 rounded to five dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*l - 2266 = 148*l + 1372. Let j = 239\/395 - 2\/395. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4599 + -4601. Which is the second biggest value? (a) 3\/2 (b) i (c) 219 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and -93\/164?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -s + 16, -s + 6 = 138*u - 136*u. Put s, 2\/19, 2, 0.23 in descending order.\nAnswer: 2, 0.23, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/14, 41\/29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)\/(3 + -1). Suppose u = -2*d - 5*t + 56, 5*t + 28 = 3*d - 31. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 4.1878174.\nAnswer: 4.6878174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.239?\nAnswer: -0.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:11 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 - 12*d - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1389 and -52\/66087.\nAnswer: 30598281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - 2*g)*(-272*g + 272*g + 229*g**3) to the form r*g**2 + z*g**4 + j*g + t + a*g**3 and give z.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17440.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 3*r**2 - 3*r**2)*(-r**2 + 0*r + 0*r) + (4*r - r - r)*(-r**4 - 3*r + 3*r) + 359*r**5 + 616*r**5 + 615*r**5.\nAnswer: 1586*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18*(-6)\/(-8)*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 + 2*t**4 + 0*t**4 + (-2 + 2*t + 2)*(t**3 + 5*t**3 - t**3) - t**4 + t**4 + 2*t**4 to i*t**3 + n*t**4 + h*t**2 + f + q*t and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 152.51 and 319?\nAnswer: 48650.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -55, -2, 7974.\nAnswer: -55, -2, 27, 7974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-33 - (-14 - -7 - -20)) - 0.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -134. Let k = s - -120. Calculate the remainder when k is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4607 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3170 and 1245?\nAnswer: 789330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 2. Let p(j) = j - 6*j**2 + 14*j**2 + 1 - 7*j**2. Let w be p(-1). Let f(m) = -w + 16*m + 0 + 0 - 13*m. What is -7*f(g) - 4*o(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57787821 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 5*o + 3*o + (-2 - 1 + 0)*(2*o + 3*o - 3*o))*(6*o + 2 - 2) + (1 - 1 - 2*o)*(0*o - 2*o + o) to the form z + j*o + n*o**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 7. Let o(z) = -z**2 + 11*z + 20. What is -11*n(r) + 4*o(r)?\nAnswer: -4*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let l be (-104)\/10*(-30)\/12. Suppose -l = -y*h + 24. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1036 divided by 4\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-6\/7)*w)*w**(-7))\/(w**(-2\/17)*w\/w**(-5\/2)))**(-37) assuming w is positive.\nAnswer: w**(107781\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11 + 0.55?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 132 = -12*b. Suppose -5*g + 30 + 0 = 0. What is the smallest common multiple of b and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*o**3 + 25*d*o**2 + d*o + 50*o**3 + o**2 wrt o.\nAnswer: -24*d + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -331, -332?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*q - 6*q + 65, 0 = 5*r - 5*q - 100. Suppose -5*h - r = -2*j + 75, -h = -4*j + 192. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-4 - 64\/(-12)). Let u(p) be the third derivative of p**6\/120 - p**5\/20 + p**4\/8 + 2*p**3\/3 - 3*p**2. Determine u(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-99)\/(-22)))\/(2\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 80.8, 120, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:22 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 808*p\/5 - 68544\/5.\nAnswer: 2*(p - 476)*(p + 72)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3 + 1 + 8*g**3 - 7*g**3 + 14*g**3 wrt g.\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20613*r - 2. Let h(t) = -2*t. What is w(h(f))?\nAnswer: -41226*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/6 and -74\/453?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -8.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 39*p**2 - 14*p + 496. Calculate g(-18).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5345*-0.06.\nAnswer: 320.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7930 and 72748?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1890\/588 + (-735)\/42*(2\/10 - 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -1, 3, -4, 13 in descending order.\nAnswer: 103, 13, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -6) + (658 - 636).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Let c(v) be the second derivative of -v - 1\/27*v**3 - 1\/54*v**4 + 0 + l*v**2. Solve c(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -128419992 and 11.\nAnswer: -128419981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3941*p + 3941*p - 1190*p**2 - 4 in the form z + o*p + q*p**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-5 + 9) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-13)\/2 - -3). Let r = -0.09 - 0.41. Let b = -0.7 - r. What is the nearest to h in b, 2\/21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 914644 and 76304.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042033.\nAnswer: 53, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**(1\/21))**42*((r**1)**(-39))**1 assuming r is positive.\nAnswer: r**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9081768 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*i + 20 = -2*y + 166*i, 5*y - 5*i = 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 353796 + 281160. Suppose 61*z - n = 49*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*l + l - 51, 0 = -5*l + 2*i + 85. Let g = 2938 + -2934. Suppose -1 = g*z - l. What is the third biggest value in -4, z, 3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 96.08526 tonnes?\nAnswer: 96085260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r - 4*r. Let z = -41287 - -41313. What is the lowest common multiple of r and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -2. Let k(j) = -j**3 - j**2 + 94. Let u be k(0). Let v = 286\/3 - u. Which is the biggest value? (a) -4 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191940*i**6*w**2 + i**6 - 2*i**2*w**2 - 4*i**2*w - 10*i*w**2 + 985*w wrt i.\nAnswer: 23032800*i**3*w**2 + 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/82 and 97\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (18 - (24 - 7)) - 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1100?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3669594912 and -0.8578.\nAnswer: 3669594911.1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 11*s**2 - 10*s + 2. Let w = 43 + -53. Let m be i(w). Solve -2*j + 3*j - 4*y - 9 = 0, m*j - 5*y = 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36673 (base 8) in base 6?\nAnswer: -201055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 2. Let m be 3\/(-6) + (-1)\/2. Let y be 0 - -5 - (-1)\/m. Suppose 3*v - y*l + l + 9 = 0, 30 = 5*v + 4*l. Calculate s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.43 - 4.27. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + -1 + (1 - -2) + 23 + -61 + 41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 3*u + 6066. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7 - 5. Let g = -13.7 + o. Let i = g - -9. Which is the smallest value? (a) i (b) 0.3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -2, -986?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2. Let i(y) = 4. Let g(c) = 1. Let r(z) = -16*g(z) + 3*i(z). Let x(l) = -2*l - 4. Let a(b) = -4*r(b) + 4*x(b). What is a(k(h))?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10\/25 + (-43)\/(-5) + 1 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*o**4 - 68880*o**3 + 6031888*o**2 + 3463680*o + 495616.\nAnswer: 4*(o - 176)**2*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1111147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4545950 + 2*a**2 + 4545950 - 5*a + 5*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (30923\/(-15419) + 2)*(-1)\/3. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Suppose -2*a = 2*j + 3*j - 22, 2*j = t*a + 4. Let d(h) = -2*h - 9. Let v be d(-6). Sort a, v, 2.\nAnswer: a, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 59*x - 8 - 13 - x**2 + 23 - 11 in the form y*x + w*x**3 + l*x**2 + m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*j = -23, 7*n + 4*j = 5*n + 10. Solve -n = 2*s - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -1\/3*q**2 - 2\/3*q + 4\/3 + 1\/6*q**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88174182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.10795 - -0.22738. Let c = o + -0.12. Round c to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1290 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**7\/21 - 2*f**6\/5 + 13*f**5\/10 - 2*f**4 + 4*f**3\/3 - 4*f + 42. What is d in s(d) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -396.1 + 396. Let s = 728 - 3636\/5. What is the third smallest value in 1\/8, s, 4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 513922393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 670 - 670.0413. Let w = u + 0.6083. Round w to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s + 59*s - 4 - 1 + 2 - 3*s. Determine v(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*h + 4*h. Let i be (-1620)\/(14\/(-5) + h). What is i rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 93146424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -9. Let f = 1 - n. What is the third smallest value in 0.3, -2\/11, f, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3072 and 57696.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*2\/(-12)*(-8 - 1). Let q = -0.22 - -1.32. Let v = 0.1 - q. Which is greater: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -256 - -565400?\nAnswer: 565111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**6\/900 + 7*l**5\/100 + l**3\/3 - 29*l**2\/2 + 50. Let v(p) be the third derivative of b(p). Factor v(f).\nAnswer: 2*f*(f + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.29624 millennia to centuries.\nAnswer: 362.9624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. Let j(r) = -r**3 + 4*r**2 - 2*r + 2. Determine j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/1260 + z**6\/90 + z**5\/20 + 5*z**4\/12 + 3*z. Let b(r) be the third derivative of y(r). What is f in b(f) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqffjeqjj. Give prob of sequence jfqj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5057 + 5557. Is 100 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l - 123 = 21*l. Let s(i) be the second derivative of 3\/5*i**2 + 7\/10*i**l + 4*i + 1\/4*i**4 + 0. Factor s(n).\nAnswer: 3*(n + 1)*(5*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1329825000 rounded to the nearest 1000000?\nAnswer: -1330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from llggl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 + 7*m. Let l(b) = -8*b**2 + 6*b. Give 4*l(z) - 3*p(z).\nAnswer: -11*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 414 and 656?\nAnswer: 135792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**2 - 195*o**2 - 297*o**2.\nAnswer: -474*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11589)\/(-3863))\/(((-5)\/((-1960)\/(-36)))\/(3\/(-1)))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 12}. What is prob of sequence kuk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1195, -1197, -1201, -1207, -1215, -1225, -1237?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 561?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11184307841 - 10.\nAnswer: 11184307831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 9:15 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 551 - 476. Suppose 2*m - 2023 = x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5418000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55788241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-80))\/(5\/(-290)) and -89\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5 - 38. Let y(x) = 5*x**3 - 7*x**2 - x + 6. Let l(g) = -9*g**3 + 13*g**2 + 2*g - 11. What is n*y(c) - 6*l(c)?\nAnswer: -c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.54156 months to centuries.\nAnswer: 0.0104513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98333789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5168\/7*b + 3338528\/7 + 2\/7*b**2.\nAnswer: 2*(b + 1292)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:22 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-820)\/480)\/41)\/((-2)\/8). What is the second biggest value in -1\/4, a, -292, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 76*y**2 + 32*y + 349. Determine p(-38).\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 20 = -3*w. Let n = w + -21. Sort n, 5, 4 in ascending order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/33, -0.3, -3\/8 in ascending order.\nAnswer: -3\/8, -0.3, 2\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99826, -199652, -299478, -399304, -499130?\n\"Answer: -99826*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30528 divided by -10176.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398058?\nAnswer: 2, 19, 36791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92254 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sci when three letters picked without replacement from {i: 6, s: 1, c: 2, p: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/48 + 493*f**3\/3 - 486098*f**2 + 183*f - 17. Suppose u(a) = 0. What is a?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1531, 5, -3, 248 in increasing order.\nAnswer: -3, 5, 248, 1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*o = -0*d - 20, -d = -2*o. Suppose 3*f = -0*w - 5*w + 39, 4*w - d*f = 12. Calculate the remainder when 23 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113312 + 3?\nAnswer: 1113321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -35. Suppose -5*d - j = -10*d. Let y = -7 + d. What is the greatest common factor of 7 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6679 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -28, -38, -52, -70?\n\"Answer: -2*a**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17\/10 (b) 1\/17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734713 to the power of 1\/2, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(847) - (2 + sqrt(847)*-2)) + 4 + 5*(2 + sqrt(847) + -1))*1)**2*-1.\nAnswer: 7392*sqrt(7) + 325542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37268)\/(-490) + (-4)\/70. Suppose -v*y + 52360000 = -72*y. What is y rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.125 + -72. What is l rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, -1\/4, -1\/5, 689, 0.3 in descending order.\nAnswer: 689, 5, 0.3, -1\/5, -1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 218 - 1?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/696 and -52\/15?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 + 439*w**3 + 2*w**2 - 28.\nAnswer: -120*w**2 + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - 5*d**2)*(-353*d**2 + 108*d**2 - 179*d**2)*(-2 + 1 - 1).\nAnswer: -4240*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -1\/15*c**4 + 3*c + 0*c**3 + 0*c**2 - 1\/50*c**5 + 3. Let d(q) be the first derivative of f(q). Solve d(w) = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from {y: 1, o: 14, k: 2}?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0217005566 to six decimal places.\nAnswer: -0.021701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15073\/180876)\/((-2)\/1056).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + -2bc7ac6?\nAnswer: -2bc7a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 4*d, 0 = 3*d - 51*o + 53*o - 16. Suppose b + 117 = 10*b. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.9825 centuries to millennia.\nAnswer: 60.19825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 1. Suppose 3*i + 26 = 29. Let n(f) = -8*f**2 - 2*f + 5. Give i*n(z) - 6*a(z).\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45937 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + 219. Suppose -5*z + 4*g - 3*g = -j, 68 = z + 4*g. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -3, 3\/5, 0.4, -111.059, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4\/5 - 16*j**3\/5 + 4*j**2 - 8*j\/5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, -102, -192, -370, -666, -1110?\n\"Answer: -5*u**3 + u**2 - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 7. Let i = 14 + -39. Calculate the common denominator of 3*30\/x + -2 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220012 - 12220201?\nAnswer: -20210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 + 9*l**2 + 2*l + 2. Let f(k) = 4*k**3 + 5*k**2 + k + 1. What is 5*f(m) - 3*x(m)?\nAnswer: -m**3 - 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 11. Let m = u - 27. Suppose v - 3*l = 59, -m*l - 67 = 3*v - 4*v. Calculate the remainder when v is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhg when three letters picked without replacement from {n: 4, g: 2, h: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 26*m**3 + 5*m**2 + 18*m. Let g(z) = 25*z**3 + 4*z**2 + 17*z. Give 5*g(r) - 4*x(r).\nAnswer: 21*r**3 + 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1241905 and 1?\nAnswer: 1241905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01019 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 3. Let s be f(4). Let m be 8\/((-64)\/(-68)) - s\/2. Is m at least as big as 34\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2119109 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 9 = 0. Let c be -18*10\/w + -5. What is the greatest common divisor of c and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*b**2 - 47*b**2 + 106*b**2 + (3*b + 0 + 0)*(b - 2*b + 0*b) + (b + 0 + 0)*(-b - 3*b + 2*b).\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1006*g**2 - 63*g - 48. Is k(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -844*b - 304*b + 10045 + 287 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1, -5, 23, 17\/29 in descending order.\nAnswer: 23, 1, 17\/29, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/708 and -97\/7483560.\nAnswer: 7483560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/920?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.205 and -1232.6.\nAnswer: 252.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.5 - -45. Let m = 18.7 + t. Round m to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a hour in seconds?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192*r = 1090*r + 35375 + 5701 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1643050 (base 7) to base 3.\nAnswer: -102122100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36.478, -1, 1, 0.1, 4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6206 and 174?\nAnswer: 18618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/k**5)**(1\/3) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600 + 2*d**2 - 600.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 685635.9l?\nAnswer: 685635900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9*15\/290*12\/4.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -21*t + 360. Solve -o - t + 42 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 130 = x + x - 10, l - 5*l - 285 = -3*x for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -225942032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 27 - 16 + 778*l - 89*l.\nAnswer: 689*l - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 9*z**2 + 10*z - 1. Calculate r(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*r + 27300 = 168*r - 111*r + 9074 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14066191 - 14066191 - 6561*p.\nAnswer: -6561*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3)\/((-24)\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/7 - 29718*f**4\/7 - 1909920*f**3\/7 - 43032000*f**2\/7 - 382752000*f\/7 - 957120000\/7 = 0.\nAnswer: -20, -4, 9970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*t - 15, x + 4*t - 4 = 3. Let h(n) = -6*n + 9. Let m be h(x). Does 13 divide 14\/m + (-232)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2715\/(-362))\/(30\/(-8)))\/(2\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -182*a + 184*a. Solve a + 10 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*n - 3 - 24. Which is the fourth biggest value? (a) 1.098 (b) -0.1 (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 j when three letters picked without replacement from tthapja?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 0.6. What is the nearest to 0 in 3, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/63, -2001784 in descending order.\nAnswer: 2\/63, 0, -2001784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:17 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/80*(-24)\/(-28))\/(-9)*-3)\/3\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - b - 227, 16*j - 19*j + 2*b - 144 = 0. Let m be 2\/8 + (-4 - j\/8). Solve 4*s - m*y = 2, 0 = -2*s + 5*y + 4 - 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let g(y) = -47*y + 26. Calculate -g(s) + 4*o(s).\nAnswer: 43*s - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179704 + -179704.00000080533. Round n to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -5, -2, -4, -1 in decreasing order.\nAnswer: -1, -2, -4, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 7*j + 5*j + j. Let r(n) = -16*n - 6606 + 6606. Calculate c(r(t)).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/180 and 95\/1374.\nAnswer: 41220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/585318765?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from howhhwwowbgooogwhogh. What is prob of sequence bo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -27*p - 1. Let r(m) = 2*m. Calculate n(r(y)).\nAnswer: -54*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(sqrt(5)*1*-5)**2 + 4 - (sqrt(5) + sqrt(5)*1 + 3 + -3 + -2))*-1.\nAnswer: -510 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*q - 5*q + 1310, 0 = 5*q - 4*p - 3205. What are the prime factors of q - (0\/3 - 0)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 37, -3 in descending order.\nAnswer: 37, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 268, 599, 1078, 1789, 2816, 4243, 6154?\n\"Answer: 14*a**3 - 10*a**2 + 263*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/3 + 1428*l**2 - 2852*l + 4276\/3.\nAnswer: -4*(l - 1069)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 - 117. Suppose 9*l = l + s. Solve l*u - 10 + 19 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 - -133. Solve s = d*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4478\/291 + -456411\/29876. Calculate the common denominator of n and -36\/385.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*w - 2*p, 2*p = -0*w - w + 21. Let f be (0 + (-17)\/2)*-14. What is the highest common factor of f and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -683\/9 - -76. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.001 and -1.938.\nAnswer: -1.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:47 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-1650)\/100)\/(-55).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.75 - 0.75. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66746 and 198536.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 43, 112, 209, 334?\n\"Answer: 14*b**2 - b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 18 - 30 - 1532*h in the form c + y*h and give y.\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 0 = -7. Let u be (-14)\/((2 - 5) + x). Find the third derivative of -u*i**3 - 15*i**3 + i**2 - 19*i**2 + 36*i**2 wrt i.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, 294, 0.4, -2\/19, -26, -0.09?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 8 + 64 - (4 + 2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -244d + -2?\nAnswer: -2450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k - 3. Let z(j) = -450*j + 60. Determine -100*o(n) - 5*z(n).\nAnswer: 2850*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*j + 8 - 29, -5*j + 2*d + 29 = 0. Solve -5*q = -q + o - 9, 3*q = j*o + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716831 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48624571 or 48624601?\nAnswer: 48624571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99021940 divided by -1164964.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -3\/16 (c) 1\/7 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5482 greater than or equal to -356237\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(1\/2))\/v)**6)**(-10\/9)*((v**(-5)*v)\/(v*v\/(v*((v\/v**(-6\/7))\/v)\/v)))**(-2\/117) assuming v is positive.\nAnswer: v**(-886\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2881 = -9*f, 20*b + f = 19*b + 1437. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*b*q**5 + b*q**2 - b - 4*q**5 - 466*q**2 wrt q?\nAnswer: -17100*b*q**2 - 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001391483 rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.1 - -72. Let p = -457 - -460. Which is the closest to k? (a) 1 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:50 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-150))\/(4\/(-30)). Let g(q) be the second derivative of 0 + 1\/16*q**4 + 1\/4*q**3 + 3\/8*q**2 + v*q. Factor g(f).\nAnswer: 3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -290 and 0.54?\nAnswer: -156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -8, -30, -70, -134, -228?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 51738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -j + 4*k, -j - 17 - 4 = 3*k. Let p be (-1 - -7)*(-4)\/j. Suppose 87 = -p*n + 227. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-6))\/(((-20)\/(-6))\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 5, 6.\nAnswer: -9, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/5 + 14\/(-35) + 8. What is the third derivative of -2*v + 109*v**p + 1158*v**2 - 1100*v**2 + 2*v wrt v?\nAnswer: 2616*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128.702 or 27\/10?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:51 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006564 is divided by 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = 2*p, 2*p = -5*s - 2 - 1. Suppose -4*f = 4*h - 52, h + 41 = 2*f + 3*f. What is the units digit of (f\/18)\/(s\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0 - 3. Suppose -7 = 4*b - 23. Let x(s) = -s**3 + 4*s**2 - 1. Let c be x(b). Sort c, j, -2 in ascending order.\nAnswer: j, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 27857980?\nAnswer: -27857988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + v)*(-5*v**3 + 28*v**3 - 2*v**3) + 7*v**4 - 13*v**4 + 66*v**4.\nAnswer: 81*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dfe + 9e8?\nAnswer: 17e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (2\/8 + 21\/28). Suppose -5*h + 4*g + 256 = n, -2*h = h + g - 140. Suppose -5 = -i + h. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b + 1. Let l = 3 - 7. Let t(d) = -2*d**3 - 3*d**2 + 5*d + 4. Determine l*z(j) + t(j).\nAnswer: -2*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l = -1. Let d(o) = 6*o**3 + o - 1. Let y be d(l). Let p(b) = -b**3 + 6*b**2 - 2*b + 2. Give p(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-14))\/((-6)\/8). Let n = -92 - -97.1. Let u = -5.4 + n. Which is the second smallest value? (a) u (b) x (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n + 112. Let p(y) = -y + 12. Let s(f) = -28*p(f) + 3*w(f). Let x(m) = 6*m**2 - 5. Determine x(s(b)).\nAnswer: 96*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**8\/24 + 35*z**4\/24 - 6*z**2. Find the second derivative of a(c) wrt c.\nAnswer: -280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/2686 + -34315\/5879654. Find the common denominator of 51\/2189 and l.\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11160\/78 + (-2)\/26. What is the first derivative of 2536 - 2622 - n*b**2 + 13*b**2 wrt b?\nAnswer: -260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(84)*4 - sqrt(84))\/sqrt(3) + (sqrt(280) - sqrt(280)*-3)\/sqrt(10))\/(-2*3*(sqrt(324)*2 + sqrt(324))).\nAnswer: -1 - 7*sqrt(7)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -2\/3, 5, -2.\nAnswer: -8, -2, -2\/3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 + 2*w**2 - 7*w. Suppose 4*q = q + 3. Suppose -30 = -4*b + 2*j, 0 = 3*b - 4*j - 10 - 20. Let o(z) = z**3 + z. Give b*o(g) + q*l(g).\nAnswer: g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - 495. Let x = s + 496. Put 4, 1, x in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*u + 279*u - 844*u + 275*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2377069nm to micrometers.\nAnswer: 0.0002377069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - d. Let g(m) = 2*m**2 + 11*m - 5. Let b be g(-6). What is u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {u: 2, p: 1, t: 1, j: 1, n: 1, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4653031555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, 23, 610, 1429, 2480?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(833) + -2*sqrt(17) + -2 + 5 - 2*-2*sqrt(68)*3) + -1.\nAnswer: 2 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-6)*-135*2\/(-20)*164\/41?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/51170 and 38\/171785.\nAnswer: 2404990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 577*c + 26124. Give y(40).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -59.99892. What is c rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -193, -160, -127, -94, -61?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -34*l**6\/15 - 135*l**2\/2 - 818*l. Differentiate b(r) with respect to r.\nAnswer: -272*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2165011 - 2165011 + 9*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0679052 - 3.\nAnswer: -2.9320948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 10 - 0. Suppose -c*r = -4*r - 8. Let d(v) be the first derivative of -v**2 - 3*v - 22. Determine d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/((d**(-2\/13)\/d)\/d))*d*d**(4\/11)*d*d**(-6)*d*d\/(d**0\/d*d) assuming d is positive.\nAnswer: d**(-399\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385990 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -10*x - 13. Suppose 78 = -x*b + 302. Calculate the smallest common multiple of b\/4 - ((-1)\/(-2))\/(-1) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3366, -44, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 + 9*o**2 + 198888*o - 198886*o - 7 to l*o**2 + w + y*o and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2. Let n be 2\/12 + 29\/6. Suppose -n*d = -3*d - 12. Let l(v) = v - d*v + 0*v. What is l(o(r))?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/6 + 6*t**2 - 323*t\/6 + 140 = 0.\nAnswer: 5, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70.62 in -4, 3, 2\/15, 1.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11553*a + 69334. Give t(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 224, 325, 426, 527, 628?\n\"Answer: 101*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(3\/2) + -1. Let z(m) = 0 + 8*m**2 + 0 + n. Does 9 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 385357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67331786?\nAnswer: 2, 37, 909889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 920 - 308 - 310 - 302 - 2852*h.\nAnswer: -2852*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 4. What is the units digit of m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 5036.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:38 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -158*i. Let v(o) = o - 2. Let a(x) = -4*x + 4. Let m(d) = -3*a(d) - 6*v(d). Give m(q(c)).\nAnswer: -948*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 1. Let y(o) = -4*o - 9. Let n(s) = 5*a(s) + y(s). Let k = 11 - 7. Let u be n(k). Let x(q) = q**2 - q - 2. Calculate x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91329.79mg to tonnes.\nAnswer: 0.00009132979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**7\/2100 + p**6\/1200 + p**5\/600 - p**4\/240 + 30*p**2. Suppose m(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 2*x - 1. Let b be y(-1). Suppose 3*p - 4*p + 2 = b. What are the prime factors of 195\/9 - p\/3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428*x - 1425*x + 3*a - 9 = 0, 2*a = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.111.\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + -1. Let t be (2\/4)\/(2\/n). Is -1 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3\/5 - 381*o**2\/5 - 11427*o\/5 - 77571\/5 = 0.\nAnswer: -13, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = -5*l - 413. Suppose -l*o = 28*o. Factor -2\/7*d + 4\/7*d**4 - 4\/7*d**2 + 2\/7*d**5 + 0 + o*d**3.\nAnswer: 2*d*(d - 1)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**3 + 2*w**2 - 6*w - 7. Let z(n) = 15*n**3 + 4*n**2 - 11*n - 13. Suppose 36 = -d + 7*d. Calculate d*z(m) - 11*j(m).\nAnswer: 2*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -19. What is the biggest value in x, -3, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-18)*t**(-18\/13))\/(t**1\/t)**(-1\/13))**(-10\/9) assuming t is positive.\nAnswer: t**(2390\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 816 (b) 10 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 178817 + -32.8018?\nAnswer: 178784.1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 - 62478 + 0*f**2 - f**3 + 62478 + 28*f**2.\nAnswer: -f**3 + 43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192304554.\nAnswer: 2, 3, 13, 139, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(8)\/(sqrt(108)\/sqrt(3)) + 5.\nAnswer: sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6654 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 7*b**3\/3 - 175. Let p(n) = -2*n**2 - 6. What is p(c(g))?\nAnswer: -98*g**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 + -11111101101?\nAnswer: -11110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 432112 (base 5) to base 10\nAnswer: 14657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-553 + 553 + 28*j)*(5*j**2 + 2*j**2 + 5*j - 5*j).\nAnswer: 196*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*f - 35, f - 4*f + 5*c = -55. Suppose -3*j = -2*z + 40 - 33, 3*j + 17 = 4*z. Solve 0 + f = -z*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 5*t - 10, -3*z = -3*t - 367 + 328 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214912*b**4*t**3 + 2*b**2*t**3 + 2*b**2*t + 104*b**2 - b*t wrt b.\nAnswer: -5157888*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -86, -78, -56, -14, 54, 154?\n\"Answer: v**3 + v**2 - 2*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5 - 31574*o**3*s**3 + 19*o*s**3 - o*s**2 + s**3 + 2*s - 3 wrt o?\nAnswer: 60*o**3 - 189444*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-102)\/(-153)*-5*(-7)\/140.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.1 (c) -2 (d) -3271 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cceer. Give prob of sequence recr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 189\/5*z**2 + 1\/5*z**4 + 0 + 54*z + 36\/5*z**3 = 0.\nAnswer: -30, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyygyigyiiiyiyygi. What is prob of sequence giy?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 - 3*j**3 + 10*j - 3 - 2*j**4 - 6*j - 2*j to the form a*j**2 + p*j + l + d*j**4 + b*j**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10566.65 kilograms to grams.\nAnswer: 10566650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) 0.1 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -118. Let l(t) = -16*t**2 - 25*t**z + 36*t**2 - 7*t**2. Let q(m) = -6*m + 3*m + m. Calculate q(l(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*n**5*u**2 - 405*n**3*u**2 - 2*n*u + 40953*u**2 wrt n.\nAnswer: 860*n**3*u**2 - 2430*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/12 + b**3\/6 + 2*b**2 + 21*b. Let p be v(-4). Solve 3*t - p = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 991699233 - 991699233 + 45467*g to k + a*g and give a.\nAnswer: 45467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h + 0 + 1\/6*h**3 - 8*h**2 - 1\/8*h**4. Determine p(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*k**3 + 4)*(15122 + 8*k - 15120 - 35*k).\nAnswer: 135*k**4 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y - 40. Let o be i(7). Let a = -44 + 61. Suppose -15*t + o*t - a = 0. What is the remainder when 60 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 11*n**2 - 29*n + 3. Suppose 100*j - 96*j - 15 = b, -j + b = 0. Let x be d(j). Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 9*r - 10. Let d be q(8). Let j be -5*-1*(5 + d). Calculate the highest common divisor of 105 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206 = -269*x + 135*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*n**6 + n**4 + 141696*n**3 + 20629*n**2 - 2617*n.\nAnswer: 10560*n**3 + 24*n + 850176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4 - 25. Suppose -2*n = 2*q, 4*q + 5*n - 2 = -p. Factor 3*z**3 + 9*z**3 + 7*z**q - 9*z**5 - z**5.\nAnswer: -3*z**3*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4640 and 3337088?\nAnswer: 16685440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228353.52 months to millennia.\nAnswer: 19.02946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y - 39*y - 52*y + 55*y - 8 in the form q*y + k and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4531613 (base 7) to base 4.\nAnswer: 2021110301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*x - 32 = -5*z, 3 = z - 2*x. Suppose -z*q = 18 - 7. Let r = -1 + 4. Sort q, r, 5 in descending order.\nAnswer: 5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 34 + (-1 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d + 157. Calculate s(-19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*g**2*n*w**3 - 4*g**2*w**3 - 4*g**2*w**2 + 4*g**2*w - 19*g*n*w**3 - 11*w**3 wrt n?\nAnswer: 37*g**2*w**3 - 19*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b + 6. Let k(p) = -p. Let q(f) = -g(f) - 5*k(f). Let h(i) = 206 - 3*i + 4*i + 210 - 415. Give 4*h(c) + q(c).\nAnswer: -5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41368462 is divided by 1649?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 2)*(-4*m**5 - 3*m**5 + 5*m**5).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - 774\/99 - (-1106451)\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2272*b**3*t**2 - 14*b**3 - 213*b**2 + 63*b - 4265*t**3 - 1 wrt t?\nAnswer: -4544*b**3*t - 12795*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6073 + -1123. What is the greatest common divisor of n and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 398826*d + 9173006. Determine x(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303777 (base 8) to base 12.\nAnswer: -4a0a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8456989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -5, -216 in descending order.\nAnswer: 43, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13 = 3*m, 3*m + 5 = -c + 10. Let s = -13 - -14. Suppose -s = -3*l + 2*l. What is the remainder when c is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1283, 8376, 27687, 65324, 127395, 220008, 349271?\nAnswer: 521292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 1866809*y**2 - 7467248*y + 7467252.\nAnswer: (y - 2)**2*(y + 1866813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 42030000 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 662 by 662.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + ((-5)\/(325\/39))\/((-11)\/55).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 10*w - 6. Let a(y) = -3*y**2 - 7*y + 4. Let b = -51 + 46. Give b*x(p) - 7*a(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 14*s + 14. Let v be z(-15). Let h(d) = 4*d**2 - d - 2. Let o(b) = -b**2 + b. Determine v*h(n) - 5*o(n).\nAnswer: n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.08355 (b) 39 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14056 and 1160624?\nAnswer: 8124368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2655595124 to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = s + y, s - 3*y = -12. Suppose 5*o + s*b + 0*b = 406, b + 86 = o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52\/3 (b) -38.8 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjgjgtgjjjjgjg. What is prob of sequence ggtj?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 13) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 10. Suppose -2*k + j = 3*k. Suppose 15 = b - k. Solve 7 - b = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4, 2028, 5 in decreasing order.\nAnswer: 2028, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + 8 + (-10 - (4 - -6 - 22 - -12))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d = 1028 - 439 + 2111 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 - 72*p - 124. Let s(r) = r**2 + 24*r + 42. Let k(q) = -3*o(q) - 8*s(q). Factor k(l).\nAnswer: 4*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118910 and 129052.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*l + 1530 = -47*l - 58*l - 87*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8499 is divided by 204?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:57 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 215803*a - 5610874. Give o(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*a - 3462 = 0, 6*g - 10331 = -4*a - a. What is 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 are the prime factors of 143755?\nAnswer: 5, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.1, 13, -6091?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 6*y**2 - 8 + (2*y - 6*y + 3*y)*(7 - 3 - 2)*(0*y - y + 3*y) + (-15*y + 10*y + 3*y)*(2 - 2*y - 2).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, f: 1, p: 4, d: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54\/73 + 5386\/219. Calculate the common denominator of (-35)\/14*(-6)\/20 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 60 = 15. Solve 5*v - f = -29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 28\/(-5))*19\/(-1824)*-80. Factor -2\/9*i**4 + 8\/9*i + 8\/9*i**3 - v*i**2 - 2\/9.\nAnswer: -2*(i - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 89348 = 79156. Suppose -9*v = -30*v + x. Is v a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 6*q**2 + 0*q**2 + (-3*q + 4*q + 0*q)*(0 + 0 + 2*q)*(1 - 3 + 1).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. Suppose -5*b = 3*j - 35, -6*j + j - 21 = -y*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dza when three letters picked without replacement from {t: 1, z: 2, l: 1, b: 3, d: 4, a: 7}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 + 3788839*a**3 - 2*a**2 + 7357*a + 25 wrt a.\nAnswer: 60*a**2 + 22733034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(4\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - (-37)\/(-7). Suppose -t + 4*v + 18 = 0, t + 0*v = -2*v - 6. Which is the biggest value? (a) h (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1871013, -1870995, -1870979, -1870965, -1870953?\n\"Answer: -x**2 + 21*x - 1871033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -85. Suppose -z + 10 = -x. Let m = 81\/46 - 6\/23. What is the biggest value in 2, x, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5094 and 40681533?\nAnswer: 244089198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 + -0.06. Let i = -1.322 - 0.018. Let m = i + 2.34. Which is the closest to m? (a) 3 (b) h (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 92308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**5 + 6*k**5 - 5*k**5 + (5*k**4 - 2*k**4 + 0*k**4)*(-3*k + 1 - 1) - k**5 + 2*k**5 + 0*k**5.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04123 and 6.\nAnswer: 5.95877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -22*v**3 - 4*v**2. What is c(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 502032997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 545592?\nAnswer: -545591.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1971615, 1971622, 1971635, 1971654?\nAnswer: 1971679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 4 + 6*d + 11*d**2 - 3*d - d - 13*d**2 in the form m + t*d**3 + s*d + o*d**2 + l*d**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 - (402 + -404) - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -202*j. Let h(d) be the second derivative of 11*d**3\/6 + 87*d - 12. Determine k(h(n)).\nAnswer: -2222*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 + 8*q + 3. Let t be w(-5). Let k be 13*-7*1\/t. Let c = k - 25\/4. What is the second biggest value in c, -1, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(3 + 1))\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7771.\nAnswer: 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12560?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17639\/22078 - 66\/83. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 96574\/30 + (-266)\/1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 3\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 2. Let f = 0 - 2. Let w be r(f). Is (-341)\/(-7) - w\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/4 - 65503*h**3 + 5720770007*h**2\/4 + 1906981561*h\/2.\nAnswer: h*(h - 43669)**2*(3*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y - 176. Suppose 4*o = 20, -227*s = -229*s - o + 45. Calculate l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (1 - -2 - (-3 + -7 + 20))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/49327022 and -67\/97388?\nAnswer: 98654044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l*l*l**9*l)\/l**(-2\/15))\/(l\/(l*l*l**(-2\/3)*l))**(7\/13))**(-1\/7))**20 assuming l is positive.\nAnswer: l**(-11584\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let n(d) be the third derivative of d**7\/280 + d**4\/6 + 6*d**2. Let p(q) be the second derivative of n(q). Determine s(p(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:31 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, w: 2, t: 2}. What is prob of picking 1 u, 1 t, and 1 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 233032120 (base 6) in base 13?\nAnswer: b90c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 5*m + 7. Let u be f(-6). Let h be 1*(5 + 4*18) + 1. Let v be 105\/h - (-60)\/(-40). Is u at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381581869 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: -4 + (16 - 8 - (0 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6685824 years in millennia?\nAnswer: 0.0006685824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 270*c - 6 - 98*c - 114*c to o + i*c and give i.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsssqsssssgsssggg. What is prob of picking 3 s and 1 q?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = -9*r + 11*r. Suppose 5*o - 207 = r. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604254874?\nAnswer: 2, 802127437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 174*k - 2 - k**2 + 176*k + (2 + 0 + 0)*(-3*k**2 - 5*k**2 + 6*k**2) in the form w*k + q*k**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 5. Let s(h) = 24*h + 18. Let t(d) = 18*g(d) - 5*s(d). Let q(m) = m. Determine 4*q(f) - t(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -74. Solve u*r + 10 = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15791215.\nAnswer: 5, 11, 17, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -1, 2, -2, 10 in increasing order.\nAnswer: -35, -2, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4 = -4*h. Let o(g) = -5*g**2 - 3*g + 1. Let p be o(-3). Is p\/(-10)*(4 + h) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25878742 (base 9) to base 10.\nAnswer: -12747899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27489880 divided by -2?\nAnswer: -13744940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3 + (-1 - 4 + 3)*(-1 - 1 + 1) - 5 + 1 + 3 - 2 + 4 - 3 - 3 + 6 - 4)*((-2 + i + 2)*(8 - 4 + 0) + 0*i + 2*i - 3*i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(7) - ((-2*sqrt(56))\/sqrt(8))**2)))*-1.\nAnswer: -sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14738 + 2339. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*a - 9 - 25, u + 3*a = 0. Let x = 13 + u. What is the units digit of x + -2 - 2 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*z**3 + 1048*z**2 + 1817*z + 862.\nAnswer: (z + 1)**2*(93*z + 862)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*z + b, 5*z - 3*z + 5*b + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, b: 1, f: 1, j: 3}. What is prob of sequence jf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 49*n**6\/160 - 7*n**5\/20 + n**4\/8 - 3*n**2\/2 + 2*n. Let d(v) be the first derivative of o(v). Factor d(w).\nAnswer: 3*w*(7*w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 - 8*k + 1. Let q(h) = -h**2 - 3*h. Let w(c) = -c**3 + 49*c**2 - 53*c + 243. Let a be w(48). What is a*g(t) - 8*q(t)?\nAnswer: -4*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4, 0*z + 3*b + 3 = -3*z. Suppose z*s + 3*a = 99, 6 = -a - a. Calculate the highest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343112985 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -3*l**3\/2 + 3*l**2\/2 - 2*l. What is the remainder when r(-4) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 117\/1252?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 83132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 879142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4874*h**2 + 440*h - 5?\nAnswer: -9748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (2*-115777 - -3). Suppose 2*r = -h - 342445. Round r to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3515014987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5196723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12\/83 (b) -3 (c) 32 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 + 4*u - 4. Let w(l) be the first derivative of l**2\/2 + l - 15. Let t = -16 - -15. Let m(i) = t*o(i) + 2*w(i). Give m(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17143 + 34618. What are the prime factors of b?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 minus 6.1?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - l - 1. Let x(j) = -66*j**3 + j**2 + 8*j + 5. Determine -5*s(r) - x(r).\nAnswer: 56*r**3 - r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*f + 3*f + 6*f + 7*f**3)*(0*f + 5*f - 3*f) to p*f**3 + m*f**4 + u*f**2 + z*f + n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -4*s + 142, -2*v = s - 42. What is the least common multiple of s and 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.07 + 27.9. Round d to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -21, -59, -133, -255, -437, -691?\n\"Answer: -2*w**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (-332)\/12)*(3 + 6).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 1, y: 2, d: 1}. What is prob of picking 1 g, 1 j, 1 y, and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/6)\/(a*a*a**(-1)*a)*a\/(a**(-8)\/a)*a**(-3)*(a**(2\/5)\/(a\/a**9))**(-38) assuming a is positive.\nAnswer: a**(-9431\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2. Let c(u) = 3*u**2. Suppose -3*v - 8 = v. Let s(r) = v*z(r) + 3*c(r). Let o(f) be the second derivative of -f**4\/12 - f. Give o(s(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 1. Let g be a(-2). Suppose -r - g*k - 13 = 0, -3*k - 15 = 2*r - 5*r. Calculate the remainder when 14 is divided by 2 - -2 - r\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 348 = -4*s - 12*k, 41*s - 36*s - 9*k = 769 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x + 0 + 0*x + 0 - 23*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/18 and 33\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 14*y**2 - 14*y - 7. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4477 divided by 187.\nAnswer: 407\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 - 260\/28. Let g be 3*(24\/y - -2). Is 10*(-34)\/(-4) + g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:10 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-4)*((-66)\/(-18) - 3)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (0 - 10) + (412 - 407).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -60*p**2 - 2\/5*p**5 + 0 + 0*p**4 + 0*p + 1\/60*p**6 + 53\/6*p**3. Differentiate r(n) wrt n.\nAnswer: 6*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*c**2*x**2*z + 3*c**2*z - 4*c*x**2 - 2*c - 12*x**2*z + 2*x**2 wrt c?\nAnswer: -36*x**2*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 571*g - 559*g + 144 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.4659ml to litres.\nAnswer: 0.0744659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, 158.9, -899?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 - 63. Let -36*x**4 + t*x**2 + 180*x**3 + 158*x**2 + 216*x + 5*x**5 + 86*x**4 - 81*x = 0. Calculate x.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -243557 and 5?\nAnswer: -1217785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171.5 + -172. Let y = 0.6 + a. Which is greater: y or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 612*v + 45. What is s(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -332801\nAnswer: 1331204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + c + 5480 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 6, i: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 3409749?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 409\/11. Factor -4\/11*i + 0 + o*i**2 + 2\/11*i**3.\nAnswer: 2*i*(i - 1)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((((-2349)\/135)\/29)\/((-438)\/10))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -15*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 + 0*j**3 - 6*j**3)*(1 - 1 + 3*j)*(51*j + 64*j + 6*j).\nAnswer: -726*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78796.\nAnswer: 2, 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - t**2 + 0*t**2 + (-2 + 2*t + 2)*(-2*t - 2 + 2) - 2*t**2 - 6*t**2 + 3*t**2 to the form r + s*t**2 + p*t and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ophl when four letters picked without replacement from {l: 2, p: 3, x: 1, o: 1, h: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 5*j**2 - 2*j - 5. Determine x(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*o*w**3*y - o*w**3 + 629*o*w**2 - 3*w**3*y wrt y.\nAnswer: -5*o*w**3 - 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206027 + 608901. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12364477*k**3 - 86210*k - 48?\nAnswer: 74186862*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2d3e (base 15) to base 7.\nAnswer: -4246220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-3) + -3 + 34 is divided by (-15)\/6*480\/(-75).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 2*f**2 + 0*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -2\/3 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/4*(-800)\/650.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 56*b + 711. Let s be n(45). Let i(u) = -u + 144. Let g be i(0). What is the greatest common divisor of s and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6555?\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xusmudm. Give prob of sequence dux.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-136)\/(-20) - 2\/(-10). Suppose -s - b + 11 = 0. Suppose 4*u = 6*a - 2*a - 284, -a - s*u = -86. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + 18\/(-8). Let n be (k - -2)\/(1 + 1). What is the derivative of 4*m**4 - m**4 + n - 1 wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 1. Let n = 281 - 253. What is the highest common factor of t and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h + 5*h + h**3 - 351*h**4 + 13*h**2 + 349*h**4 = 0?\nAnswer: -2, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i - 31. Let f(c) be the third derivative of c**5\/30 - 2746*c**2. Determine l(f(m)).\nAnswer: -18*m**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29*q**2 + 102*q + 42. Let c(x) = 10*x**2 + 34*x + 16. What is 8*c(t) - 3*n(t)?\nAnswer: -7*t**2 - 34*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -39. Let g(r) be the second derivative of r**4\/12 + r**3 - r**2\/2 - 2*r. Calculate g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let f = -5 + 5. Suppose t = -q + 2*z + 17, f*q - 4*q = -2*z - 50. Solve 4*c - 5*p = -4*p, -3*c = 2*p - q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6 = -2*y, -3 = -y + 3*v - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2571 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = j + 4*u - 5*u, 3*j = -2*u - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o - 1. Let d(r) = r**2 - r. What is a(l) - 4*d(l)?\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w*w**(-3\/5))*w*w*(w\/((w*w**(-1\/6))\/w))\/w*w)\/(((w*w*w*w**10\/w)\/w)\/w**10) assuming w is positive.\nAnswer: w**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 63*p**2 + 21*p.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28510 + -7863. What are the prime factors of j?\nAnswer: 11, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 11. Suppose 0 = -f - f - 3*l + 15, 3*f = l + t. Suppose 0 = -2*v - 1 + f. Let x(q) = 4*q + 1. Give x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0854588535 to 3 dps.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -38. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6 + 90. Let m = u - 9. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123978 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03433984 rounded to three dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 134\/3 in 402\/133, 0, -3?\nAnswer: 402\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000069061 rounded to seven decimal places?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6841, 27354, 61609, 109660, 171561, 247366, 337129?\n\"Answer: 9*z**3 + 6817*z**2 - z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = -i, h - 3*i - 4 = -7*i. Solve 0*b - 5*r = h*b - 12, 5*b = -2*r + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-133)\/((-133)\/(-7)) - 3093*-1.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -13.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7354 + 7435. Solve 0 = 111*k - p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 3) + -53 + 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 3) to base 14\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1119326 = 2*u, -4*a = -2*u - 2*a + 1119322. Suppose 0*d = -45*d + u. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -131?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5108663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:37 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13556165 is divided by 191.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159745 divided by 743.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, -89, -379, -669, -959?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/239, 3\/1115, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*z**5 - 3*z**3 - 5*z**2 + 1 wrt z?\nAnswer: 660*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 7623 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 48*s. Let u(v) = 168*v**2. Determine u(o(d)).\nAnswer: 387072*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55275?\nAnswer: 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 208, 323, 446, 577, 716?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -11 + 34 - 27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51498439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -4449 and -22008 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*n**2 + 2*n**3 - 332*n**2 + 1406*n - 317*n**2 - 702 + 64*n**2.\nAnswer: 2*(n - 351)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -35. Let p = 5 + 0. Suppose w = -d + 2 - 3, -2*w - 2 = -p*d. Solve 4*x = 2*h - d*h - z, 0 = 5*x + h + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, z: 5, t: 4}. What is prob of picking 2 t, 1 z, and 1 c?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 - 9*v. Suppose 4*c - 4 = 2*c. Let m(x) = -8*x**2 - 8*x**2 + 5*x**c. Calculate m(a(u)).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 3, q: 1, f: 1, o: 2}. Give prob of picking 1 y and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 - 2*n. Let l(m) = 4*m - 6. Let u be l(3). Suppose -2*i + 0*i - u = 0. What is k(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*v**2 + 79*v**2 + 699*v - v**2 as h + a*v**2 + t*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91646383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50909527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n + 10 = -55*n. Let t be (-20)\/6*(-96)\/(-40). Which is the second biggest value? (a) t (b) -4 (c) n (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 44. Let o(b) = 14*b**2 + 14*b - 59. Let u(w) = -9*w**2 - 9*w + 39. Let l(k) = f*o(k) - 8*u(k). Is 15 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/54*112\/(-140))\/((-2)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -408, -2\/5, -0.5, 4\/7, -18\/11, -5\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 256.8?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - d = -2 + 21, 2*l = d + 11. What is the nearest to l in 0.09, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 205, 0, 16\/15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f. Let s(t) = -t. Let g(z) = z. Let c(l) = 3*g(l) + 5*s(l). Give w(c(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*y**5 + 82109*y**3 + 78*y + 42286 wrt y.\nAnswer: -380*y**3 + 492654*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 510.458 * -27.4.\nAnswer: -13986.5492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*f + 7650 = -367*f + 828*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 39.04. Let k = 1 - c. Let t = 0.025 + 0.075. What is the closest to -2 in -4, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142004233 - -3?\nAnswer: 1142004241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/40 and -3 + 3 + (310\/(-176))\/(-5).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y + 47*y + 4 = 0. Suppose 0*m + 3*m + 108 = 0. Let b = m - -52. Calculate the least common multiple of y and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose 75 = -y*l + 5*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-390)\/715)\/(3\/(-22)). Suppose 0 = v*x + 62 - 42. Let y = 2 - 7. Is x smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 2*d + d + 0*d - 3*d + 4 - 4 + d + (4 - d - 4)*(-4 - 3 + 6) + 3*d - 2*d - 2*d + 2*d - 6*d + 2*d)*(3 - 2 - 5).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36440194 to the power of 1\/2, to the nearest integer?\nAnswer: 6037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8083 and 242.\nAnswer: -1956086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70385 and 700.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n + 6. Suppose 0 = 4*v - n - 30. Solve 2*g - o = 4, 0*o - o = g - v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - -14) + (0 + -10 + 5 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (13 + (-12 - 1 - (-160 - -152) - -1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54220986*o**3 - 895*o**2 + 3*o + 149 wrt o.\nAnswer: -325325916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73\/5 - ((-46872)\/(-155))\/84\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 196*n**2 + 1783*n - 312458. Determine o(197).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 2*o - 79 + 31, 4*q + 45*o = 42*o - 55 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 11*l. Let p(b) = -116*b + 4 - 176*b + 286*b. Give c(p(v)).\nAnswer: 72*v**2 - 162*v + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + w = -14*g + 50562, -g = 4*w - 12633. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 381*-4.5\nAnswer: -1714.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-9)\/(-12)). Put -1, -5, o in decreasing order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2478, 292, 1 in increasing order.\nAnswer: -2478, 1, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326383\/(-4599) - -126 - 2\/63.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 507042*p\/5 - 507044\/5.\nAnswer: 2*(p - 253522)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:02 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 - 1155\/(-20). Suppose 4*t + 3*g - 72 = 51, -2*g - 138 = -4*t. Let v = k - t. Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 + 2. Let s be w(-2). Suppose n + s*n - 87 = 0. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9779800 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -0.06, -1.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 120\/9)\/(1\/(-12)). Suppose 120*s = f*s - 1436. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3719\/12 - 1145\/4. Sort h, -0.5, 1\/2 in descending order.\nAnswer: h, 1\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 + 13*y**2 + y**2. Let o = -93 + 95. Let q(h) = 3*h**o - 14*h**2 + 12*h**2. Calculate x(q(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let x be 3 - (3 + 9 + -3). Let b be v(x). What is the first derivative of -6*g**3 - b + 9*g**3 + 1 wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160925037, 321850065, 482775095, 643700127?\nAnswer: 804625161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(2\/121)*(i\/(i*i**(-1)*i))**(4\/7))**(-34) assuming i is positive.\nAnswer: i**(136\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149112 is divided by 1124?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24232231 to the nearest integer?\nAnswer: 4923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 316ee (base 15) to base 10\nAnswer: 156824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 727099*u**2*z**3 + 304*u*z**2 - 18*u*z - 2*z**3 - 2*z + 3 wrt u.\nAnswer: 1454198*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 461594437*v**3 - 492280186.\nAnswer: 1384783311*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 - 2 - -2. Let i = 864275 + -864273. Solve i*t = -p + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3045 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 + 3*s**2 + s - 1. Let g(z) = -24*z**3 + 19*z**2 + 3*z + 18. Determine -6*d(v) + g(v).\nAnswer: -6*v**3 + v**2 - 3*v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -513*3.79\nAnswer: -1944.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6004 and 14840387?\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 290310239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -997.183 - -996.91299968. Let q = f + 0.27. What is q rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -3\/7 (c) -8.7 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 50. Let n = t - -8. Let m(l) = 4*l**2 + 2*l. What is the least common multiple of n and m(2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/78 and -73\/453882?\nAnswer: 453882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79706a9 + -3?\nAnswer: -79706ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 19184 divided by 2\nAnswer: 9592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -342\/4511 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 13) + (238 - 231) - 18\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*(-2)\/20\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36733 + 36723. Let o(j) = j**3 + 4*j**2 + 3*j + 6. Let y be o(-4). Are y and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (0 + 11 + -6) - (-4 + 109)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -9.844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 88 = 12. Suppose -4*k - 3 = 2*s - o, -k - 8 = -4*s. Suppose 2*f + s = 17. Solve -5*l + 3*p = -8, f*p - 2*p + 10 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 47\/4 of a kilometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b**5 + 1131*b**4 - 5939*b**3\/3 - 934*b**2\/3 + 1148*b\/3 - 152\/3 = 0. What is b?\nAnswer: -1\/2, 2\/9, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -49. Let q = -45.1 + h. Let y = -1.9 + q. What is the nearest to 1\/3 in -2, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -652.77 + 50.97. What is f rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 52028799?\nAnswer: -52028795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -37\/3228844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-321)\/9 - (-7 + (-342)\/(-54)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11034584 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 4*x - 8. Let j be b(-6). Suppose -j*n + 56 = -0*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 6 - (7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 7*h**6\/120 + 5*h**3\/6 + h**2. Differentiate q(d) wrt d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -19238.\nAnswer: -27\/19238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 390 and 388 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 100*u**3 + 677*u**3.\nAnswer: 577*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 19*z = 4026. Let h = -30196\/45 + z. Which is the nearest to h? (a) -0.1 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4598 and 622.\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.25 in -8, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-31))\/k)**50)**(-8\/9))**(23\/3) assuming k is positive.\nAnswer: k**(-285200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-64 + 58 + 0 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11 = i - 6, -2*i - 22 = -4*r. Let u(y) = -y**3 - 12*y**2 + 13*y + 2. Let w be u(-13). Let a(z) = -z + z + w*z - 2. Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 7*h**6\/780 - 3*h**5\/130 + h**4\/78 + 24*h**2. Let j(i) = 0. Calculate i.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 47\/450 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-2\/5)\/o*o)\/o)\/o)**(3\/4))**(-35)*(o**(-6)\/(o*o\/o**(-4)*o))**(13\/5) assuming o is positive.\nAnswer: o**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.001, 0.5 in decreasing order.\nAnswer: 0.5, 0.001, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7079 = 4*h - 2661. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 - -0.025.\nAnswer: -158.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9918 - 9917. Let q be 2\/30 + 0 + 1. Is n at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 8*d + 12*n - 181937, 0 = d - 4*n - 22719. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((-8)\/1280*4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.3871 less than -7465?\nAnswer: -7889.3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*u + 113*u = 0. Let h = -7 - -16. Suppose h*c = 4*c + 5. Put c, u, -4 in decreasing order.\nAnswer: c, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361 - 3*w**2 - 371 + w + 2*w + 750.\nAnswer: -3*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 205 = -29. Suppose 24 = 2*v - 42. What is the greatest common factor of v and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1292)\/(-2736) - (-2)\/(-8) - 34142\/(-18)?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 q when four letters picked without replacement from vvnnqqqvqqxxxnvqv?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -51.9. What is the nearest to -1 in 1, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3821, 15400, 34699, 61718, 96457, 138916?\n\"Answer: 3860*i**2 - i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/12)\/((-10)\/(-40)). Let i(u) = -u**2 + u - 3. Let c be i(0). Let q = -1 - c. What is the third biggest value in -0.3, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 - -27.34. Let z = 22 - n. Let h = -4 - z. Which is the third smallest value? (a) 2\/7 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15565 (base 10) to base 13\nAnswer: 7114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (1 + 38 + 4)) + (3 - -13)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 72162 = 558. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let u(p) = -1811*p - 2. Give u(o(c)).\nAnswer: -1811*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 9. Let f be (-18)\/21*245\/(-21). Let q be (-3 + 23\/3)\/(f\/15). Determine k(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405776 is divided by 735.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 947025?\nAnswer: -1\/189405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*d*v - 48*c*d + 9*c*v - 4*d**2*v + 2*d**2 wrt v?\nAnswer: 2*c*d + 9*c - 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.816379116625+-549\nAnswer: -549.816379116625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013432721 rounded to four decimal places?\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -1\/3, 15.2, 0.1, -4?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49312*j**3*u**2 - 213276*j**3 wrt u?\nAnswer: -98624*j**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.109944mg?\nAnswer: 0.000109944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/2*x**2 - 15*x + 0 + 1\/6*x**3. Let j(s) = 7*s - 6. Suppose 5*h - 20 = 0, 2*h = -4*g + 6*h + 8. Calculate g*i(q) - j(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/1*3\/(-8)*-148. Let p = x - -777. Let p*h + 0 + 1\/2*h**4 + 1\/2*h**5 - 1\/2*h**2 - 1\/2*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13904419\nAnswer: -4\/13904419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + 12*k**2 - 5*k. Let x(c) = 10*c**3 - 25*c**2 + 10*c. Let r(m) = 5*t(m) + 2*x(m). Factor r(n).\nAnswer: -5*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4739434 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)\/(1\/3). Suppose 2*m = -4*m. Suppose m = 4*i - 21 + 1. Solve 14 = -d + y*g, -g - 2 + i = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-100)\/12 - -9)*24. Solve n + 0*q = -4*q - m, -3*n - 2*q = 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16953*-4.46\nAnswer: 75610.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 4) to base 10\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6269 - 1?\nAnswer: -6270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2634, -5059, -7496, -9951, -12430, -14939, -17484?\nAnswer: -20071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 5, i: 1, h: 2}. Give prob of picking 1 z, 1 i, and 2 k.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -34. Suppose 135*w - 31*w = 2288. Calculate the lowest common multiple of p and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3)*121\/33. Let k(z) = z + 8. What is k(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/11 (b) 0.1 (c) 6.65 (d) 4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/((52\/(-130))\/((-7)\/10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 + 61372*k**2 + 184118*k\/3.\nAnswer: -2*k*(k - 92059)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 109? (a) 1\/9 (b) -1\/5 (c) 1 (d) -7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 12. Let m(k) = 4*k**2 + 5*k - 12. Give -3*m(l) - 2*s(l).\nAnswer: -12*l**2 - 3*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/2, -1\/7, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 12*k**2 + 23\/2*k + 1\/2*k**3.\nAnswer: k*(k + 1)*(k + 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from jjkjejejkjkjjkje?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 12002635.1 to the nearest one hundred thousand.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12, 4*z - 1156 + 269 = -5*n. Let k = n - 170. Sort -3, 1, k.\nAnswer: -3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -766, -760, -754, -748, -742, -736?\n\"Answer: 6*y - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.1. Let h = -1.9 - -2. Let d = -0.1 - h. What is the closest to -0.1 in r, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from heehehhdndhnedeee.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8825, -16.\nAnswer: -8825, -16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9353 divided by 309.\nAnswer: -9353\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**2 + 16 - t**3 - 2*t**2 - 12*t + 19*t + 7*t. Let g be m(-13). Suppose 5*z = g*u - 32, -5*z + 0*u - 12 = 2*u. Put z, 4, 0 in descending order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78821129*r**6 - 51245126*r**2 wrt r?\nAnswer: 9458535480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 2*r**2 - 2*r**2)*(1 - r**2 - 1) - 92*r**4 - 58*r**4 + 172*r**4 - r**3.\nAnswer: 23*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1620 - 1661 = 4*y, v - 53 = 4*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6031487, 6031434, 6031381?\n\"Answer: -53*n + 6031540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*q = -140*q + 1308. Solve -4*r = q*x + 1, -27*x = -32*x - 4*r - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51923\/7 + -7417. Factor 0 + h*j**2 + 4\/7*j.\nAnswer: 4*j*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {a: 2, f: 3, c: 1, z: 1, w: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(10*j - 6*j + 7*j)*(-j - 2 + 2) + (0 - j + 0*j + 2)*(2*j + j + 0*j).\nAnswer: 8*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11650782.7 to the nearest 100000.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 52*p**2 - 2*p - 15. Let q(h) = -4*h**3 + 78*h**2 + 3*h + 22. Let t(c) = -5*q(c) - 7*z(c). Does 7 divide t(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/7 - 43*k**3\/7 - 59*k**2\/7 - 12*k\/7.\nAnswer: k*(k - 12)*(k + 1)*(4*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - 53.\nAnswer: -50.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 (base 7) in base 2?\nAnswer: 1001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 91*m - 273. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 19*g = 24053 - 103717. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c + 24*c + 6*c + 20*c + 15*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2641 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 605926?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084409648 rounded to 7 decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 93 = -3*h. Let w(f) = f**3 - 4*f**2 + 7*f - 6. Let i be w(4). Let t = i - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 - 1110370*d + 46626720 = 0. Calculate d.\nAnswer: 42, 222032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 188*v**2 + v - 36. Let y be i(7). Suppose 5*l + 2*b + y = 0, l = -2*b - 2494 + 659. What is l rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + -4 + 4. Let s(f) = 3*f**2 - 4*f + 2. Let z be s(g). Suppose 4*o - 40 = 80. What is the highest common divisor of z and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - 4*i - 7. Suppose -11*r - 9 = 5*q - 12*r, r = -2*q - 12. Calculate s(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-4))\/(6\/(-16)). Suppose -36 = -2*j - 2*f, 3*f + 93 = -2*j + t*j. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3725149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 2 b when four letters picked without replacement from bxxbxblllulmuqx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -6, 54, 1, -1743, 3.\nAnswer: -1743, -6, 0, 1, 3, 15, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 579076?\nAnswer: 579076.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/218104979?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0197 + 0.9803. What is the smallest value in l, 2\/3, 0.96?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2 - 54*g - 45. Let a be x(-8). Solve -6 - 3 = a*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2024784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26\/5 + -28\/5. Let g be (-2)\/(-3)*6*-1. Let p be g\/(-2)*15\/80. What is the closest to d in -2, -1\/6, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 6216*x\/13 - 18666\/13.\nAnswer: 2*(x - 3111)*(x + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 16*s + 2 = 0. Let y(r) = 18*r**2 + r - 1. Is y(s) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005626682923 rounded to 4 dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 5)*(-3 + 116) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 14, -1 in increasing order.\nAnswer: -1, 14, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 <= 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 plus -43033.9311?\nAnswer: -43003.9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 547869, 1095736, 1643603, 2191470?\n\"Answer: 547867*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2982076669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-four fifths of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4 + sqrt(648) + -1)**2 - ((sqrt(8) + (sqrt(128) - sqrt(8)) + -1)**2 + -4)).\nAnswer: 124*sqrt(2) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2216714985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 2*z**5 - 5*z**5 + (-2*z - 2*z**3 + 2*z)*(-3*z**2 - 2*z + 2*z) + (7*z - 3*z + 0*z)*(2*z - 2*z + 2*z)*(0 + 0 + 2*z**3).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 9 = o - 21 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5826*m**4 - 2*m**2 + 2769*m wrt m?\nAnswer: -139824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 26*p**2 - 81*p - 15. What is k(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2221562cm?\nAnswer: 0.000002221562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 + -137. Let v = 99.4 - p. Which is the fourth biggest value? (a) 1 (b) v (c) 3\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014 is divided by 517.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 - 273 = -2*a - 2*z, 4*a = 4*z + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11 + 13)*(-90*d**3 - 4 + 24*d**3 + 2 - d).\nAnswer: 132*d**3 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 5*b - 6. Let q be l(4). Suppose 3*a - 24 = -g, -2*a - 57 = -4*g - a. What are the prime factors of -2 - (-2 - (q + g))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-396)*((-2 - -2) + 2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17324777 - 37460164. Let k = 28835392 + y. Suppose -3*c + 4*w - 34799980 = c, c + k = -w. Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:48 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132747745?\nAnswer: 5, 13, 2042273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17289378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27913882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1459 and 677.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 104953.\nAnswer: 314859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.78 or 67?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:36 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v - 36. What is s(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 13*t + 3. Let y be i(13). Solve -2*w = -2*q - 18, y*q + 3*w = -3 - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 2*t**4 + 3*t**4)*(-3 + 3 + 2) + (-6*t**2 + 5*t - 5*t)*(-12*t + 12*t - 5*t**2).\nAnswer: 34*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.1 - 14. Let q = y + -2.4. Which is the third biggest value? (a) -5\/6 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 + -0.3. Let y = 0.42 - 0.554. Let n = -0.124 - y. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/5)\/((-2)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 3*y. Let q = 45 - 42. Let m be t(q). Find the third derivative of m*u**3 + 4 - 4 - 12*u**2 + 0 wrt u.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 430938354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-712*b - 2*b**3 + 712*b)*(5 - 2 - 4)*(-b - 2*b + b) to the form c + w*b**3 + d*b + x*b**2 + p*b**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1690 - 1691. Let r(f) = f**2 - 9*f + 3. Let c(n) = n**2 - 4*n + 1. Let o(k) = -5*c(k) + 2*r(k). Give o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let j(t) = -2*t**2 - 16*t - 2. Suppose 4*v + 5*c = -v - 60, 4 = -2*v + 2*c. Let s be j(v). Let a(q) = 0*q + 7*q - 12 + s. What is r(a(n))?\nAnswer: 147*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0 - 1\/10*n**4 + 1\/15*n**3 + 0*n**2 + n + 3\/50*n**5 - 1\/75*n**6. Solve q(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61022.\nAnswer: 2, 13, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/4 (b) 5 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-431\nAnswer: 172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 10. Let v be -2 + 6 + 9\/(-3) + -46. Let m = 29 + v. Is 5 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 23*o**2 - 2*o + 50. Let d be h(23). Suppose -4*r = -d, -m - 3*m = -r - 1619. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from lpp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5389, 10856, 16323?\n\"Answer: 5467*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/(-63) + 4\/14. Suppose 0 = y*l - 0*l - 2, -o + 5 = 2*l. Solve 5*t + 2*c = -12, 20 = -2*t + o*c - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l + 82*l - 57*l - 22 = -10*w, 5*l = 10*w - 30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1\/(-3 + 4). Suppose -11 - 9 = -5*a. Factor -5*b + 4*b**a - 4*b**2 - x*b + 6*b - 4*b**3 + 5*b.\nAnswer: 4*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/11 and -1456414 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4298 + 4294.038. Let i = o + -0.038. Let y = 44 + -44.06. What is the smallest value in y, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7172 divided by -1363\nAnswer: -7172\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11385 is divided by 316.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 13*b**2 - 187*b + 2403. Let o be x(12). Solve 83 = -17*m + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171846, 2\/3, 9.\nAnswer: -171846, 2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-56)*4)\/(5270\/(-1085))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-19)*j**25)\/(j**20*j\/(j*j\/j**(-1))) assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/7, 14, 3\/7, -3\/35 in decreasing order.\nAnswer: 14, 0.5, 3\/7, -3\/35, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31935, -127767, -287487, -511095, -798591, -1149975?\nAnswer: -1565247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 1145, 3894, 9251, 18086, 31269?\n\"Answer: 145*p**3 - p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -13891513.\nAnswer: -9724059.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2*z**3\/57 + z**2\/19 + 4*z\/19 + 4. Find s such that b(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = -2*q, -2*a + 0*q - 11 = 5*q. Let u = a - 12. Let r(o) = 5*o + 6. Let l(s) = -s - 1. Let t(c) = 6*l(c) + r(c). Give t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(36\/7))\/m*m*m**19)\/((m\/m**(1\/31)*m)\/(((m**13\/m*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(5184\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 2*k**3 + k**3)*(-2*k**2 - 2*k**2 + 5*k**2) - 34016*k - 6*k**5 + 68102*k - 33898*k.\nAnswer: -8*k**5 + 188*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 - -239. Find the first derivative of 17*x**g - 10*x**2 - 6*x - 43*x**2 + 4*x - 109 wrt x.\nAnswer: -72*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + h - 14, 3*h = 5*s - 9 - 5. Suppose s*l - 46 = -34. Solve -l = 2*g - 5*t, 2*g + 2 - 3 = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-231)*-9)\/6.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2 + 2*y - 3. Let x(a) = -a**2 + 1. Let o(d) = -v(d) - 2*x(d). Let k = 16591 - 16590. Determine o(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+-481227\nAnswer: -481227.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/456 and 23\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165927 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = y - 11, -3*t = -2*y + 16. Solve 3*u = 12, -5*w - y*u + 13 = -22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 4319*a + 605444\/5.\nAnswer: -(a - 21623)*(a + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -102627*n + 11. Give m(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 51*t - 44. Let q be w(-52). Let i be (-2*(-2)\/q)\/((-7)\/28). Which is the fourth smallest value? (a) 1 (b) i (c) 0 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/100 - 2648\/5. What is k rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 2. Let n = 17 - 9. Let y be 3 - (2\/(-1) + 0). Suppose -5*u + 0*c = -c - y, 2*c - n = u. What is f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 317.992299 from 0.2.\nAnswer: -317.792299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 2, q: 6, n: 7, y: 1}. Give prob of picking 1 n and 2 q.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-18) - (-12)\/(-4). Which is the nearest to 1\/7? (a) l (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322293.7 weeks to milliseconds.\nAnswer: 194923229760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53 and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:48 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32976?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let q(l) = 14*l - 97. Let g(v) = q(v) + 4*t(v). Let b be g(10). Let p(s) = 3*s - 8. Give p(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/32? (a) -0.5 (b) 3 (c) 155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 2*i**4 + 4*i**4 - 3*i + i to b*i**3 + h*i + g + n*i**4 + l*i**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26759900 divided by -10.\nAnswer: 2675990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -13*b**3 - 13*b**2 - 13*b + 9. Let j(c) be the first derivative of 3*c**4\/4 + c**3 + 3*c**2\/2 - 2*c + 79. Give 9*j(d) + 2*k(d).\nAnswer: d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - 85*b - 5. Determine l(21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 280724, 3.\nAnswer: 2, 3, 280724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.056525 to 0 dps.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-115))\/((-1472)\/820 - 693\/(-385))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2114, -2173, -2272, -2411, -2590, -2809?\n\"Answer: -20*u**2 + u - 2095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-126))\/(12\/(-14))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -214, -220, -228?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(432) + (sqrt(432) + sqrt(432)*-3 - sqrt(432)) + sqrt(3) + (2*sqrt(6))\/sqrt(2))*-1.\nAnswer: -4 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2 - n - 1 + 3. Let m be q(7). Let l be ((-1000)\/m)\/(3\/3690). What is l rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.133903t to grams.\nAnswer: 7133903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89\/10701 - 238206233\/28643527215. Let g = j + -15285648683\/5353430. Let k = g + 2847. What is the common denominator of 23\/22 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-177)\/(-236))\/((-228)\/(-32)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 + 2*c**3 + 2*c**3 + (-7703*c + 7703*c + 1201*c**3)*(-1 + 0 + 0) + 3*c**3 - 4*c**3 + 0*c**3 in the form x*c**3 + l*c + u*c**2 + j and give x.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120*f**2 + 1202 - 857*f**2 + 6594 - 1332 wrt f.\nAnswer: -1954*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnj when three letters picked without replacement from jjjjjnn.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k + 17 - 0. Which is the third smallest value? (a) -2\/3 (b) -2\/7 (c) k (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*n + 49*n - 107*n + 1440. Solve 3*z = 4*u + 29, -u = -n*z + 9*z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - 3. Let f = 1 + s. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 2. Let y be j(-4). Solve -y*d - 2*i - 18 = 3*d, -d - 3*i = 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s = -15580. Suppose 179*r - 169*r - s = 0. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -360. What is the remainder when z is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -14. Suppose 0 = 3*p - 3, 3*n + m = 5*n + 4*p. Suppose n*o - 15 = -2*o. Which is the nearest to -2\/5? (a) 1 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -57 + ((-160921)\/87)\/(-31). Factor -1\/3*r - l + 8\/3*r**2 + 1\/3*r**3.\nAnswer: (r - 1)*(r + 1)*(r + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 21*k - 5633. What is the ten thousands digit of m(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 + 0*r**2)*(5*r - r + r) - 19 + 4*r**3 + 19 - 19*r**3 - 7*r**3 + 6*r**3.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 327\/9 - 1 - (-22)\/33. Let x(g) = g**2 - 42*g + 276. List the prime factors of x(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7344 less than 51407\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Suppose c = -w - 4*w. Solve -j - 5*k - 2 - 7 = w, 3*j - k - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdidfdifadihh. Give prob of picking 1 h and 3 d.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -101.839.\nAnswer: 305.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 660*m + 11655 - 11655 - 3*m**2 to j*m**2 + b*m + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.136 + -1.736. What is the second smallest value in 2\/11, o, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 6)*(12*d - 3*d - 348 + 352).\nAnswer: 18*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -k + 13*v - 11*v, 2*k + 286 = -2*v. Let c = k - -149. Solve -3*u = -c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*a - 35, -214107*a + 214101*a + 78 = -3*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24707230 times -2?\nAnswer: -49414460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 40 = -170 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -91027\nAnswer: 5\/91027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 123\/164*462\/(-9)*(-200)\/(-140)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + n - 4. Let q = 10 + -6. Let k(g) = -142757 + 71365 + 71393. Calculate q*k(p) + s(p).\nAnswer: -5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-4 - 35 - -108)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*d - 3, d + 7 = 3*l - 16. Let m(q) = q + 9. Let p be m(-6). Solve -21 + l = -p*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 2, x: 8}. Give prob of sequence cz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-1463)*748 + -32.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 2*b**2 + 2. Let g be u(-2). Suppose -2*j - c = -5 - 1, 5*j - 14 = -g*c. Let z = j + -1. Is z less than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275556640, 275556639, 275556638, 275556637?\nAnswer: 275556636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/(g*g**(-6)))**(-16)*g*g**(-3)*g*((g*(g\/(g*g**(1\/3)))\/g)\/g)\/g*(g**(-1\/3)*g*g*g)**(-5\/9) assuming g is positive.\nAnswer: g**(-1642\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4824 - 4823.6. Let w = 8 - 8.2. What is the closest to -0.1 in h, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166112*k + 374 + 596 = 166142*k - 1370 for k.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -404, -5, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t)**(-21))**34 assuming t is positive.\nAnswer: t**3570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.04572 decades in centuries?\nAnswer: 5.904572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 162, 16, -222, -582?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-6)*(-2696 - -2675)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z**3 - 4*z - z**2 + (1 + 25*z - 10*z - 10*z)*(9*z**2 + 15*z**2 + 201 - 205).\nAnswer: 119*z**3 + 24*z**2 - 24*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*l**2*n**3*u**2 - 2*l**2*n**3*u - 2*l*n**3*u**2 - l*n - 2*l*u**2 + 3*n**2*u**2 wrt l.\nAnswer: 66*n**3*u**2 - 4*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64210 = 14*t - 4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 21838 = 5*z, 2*g + 260*z = 264*z + 10906. What is the highest common factor of 51 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - v)*(84 + 78 + 56 - 79) to the form o + y*v and give y.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.37 and -339.\nAnswer: -338.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11))**(-2\/21)\/(i**(-3\/10)*i**(2\/3)) assuming i is positive.\nAnswer: i**(-269\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6676.36 meters to nanometers.\nAnswer: 6676360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14059 - 14059 - 68*n)*(-4*n + 3*n + 3*n)*(-4 - 7 - 1).\nAnswer: 1632*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**15\/m**(-2\/5))\/(m\/m**2)**(-1\/12))**(2\/39) assuming m is positive.\nAnswer: m**(919\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 3 + 3 - 2*p**3 + 3*p**3 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 10*q**2 + 11*q + 11. What is the tens digit of l(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from ccrwfccecevwrwccc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10326*y - 2925. What is the tens digit of a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -183*p + 28539. Give m(156).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1612892*f**6 - 34*f**4 + 81768*f**2 + 344*f?\nAnswer: -193547040*f**3 - 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.122 + 107.262. What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - (-7 - -13 - (-6 - -2))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/((-8)\/300). Suppose 14*q - 182 = 168. What is the greatest common factor of i and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36288\/3680 - (-14 - (-3280)\/230). Solve 4*x**2 + w + 2\/5*x**3 + 56\/5*x = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b - 2. Find the common denominator of -37\/20 and (-3)\/b*(2 + 6\/(-22)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.77737 - 1.2643972\nAnswer: -3.0417672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -22 - (0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 2*a)*(0 - 4 - 2)*(2 - 6 + 2).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 23.8. Let t = -2\/7 + 20\/21. Which is the biggest value? (a) t (b) f (c) 1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*((sqrt(216) - -1*sqrt(216)) + sqrt(216)))\/(((2*sqrt(72) - sqrt(72))*-2)\/(4*-2*sqrt(6))).\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0251 - 0.019. What is j rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 708.2 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2 - 3*l - 1 + 14 - 7*l + 2*l**2. Let w be a(2). Solve -2*m + w*m = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:45 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.6866 + 0.5\nAnswer: -2.1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.7478 times 2\nAnswer: -7.4956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -d + 40. Suppose -6 = d*y - 6. Suppose y = -4*q + 19 + 109. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 485226 and 280.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 r when four letters picked without replacement from {s: 5, r: 2, b: 4, k: 4, d: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 + 4*t + 3. Suppose -5*o - 9 - 1 = 0. What is the units digit of c(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9 (b) -0.93 (c) -5 (d) -2 (e) 5 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:45 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -20*a**6 - 5*a**3 - 15*a**2 + 5. Let x(c) = -10*c**6 - 2*c**3 - 7*c**2 + 2. Let p(q) = -2*f(q) + 5*x(q). What is the third derivative of p(g) wrt g?\nAnswer: -1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.679543 rounded to 1 decimal place?\nAnswer: -119.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77719 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.16 in 30\/11, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**3 + 2*r**2 + 8*r - 1. Let s(u) = -12*u**3 + u**2 + 10*u - 1. Give -5*a(j) + 4*s(j).\nAnswer: 7*j**3 - 6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41666740 is divided by 167?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(-1*(-30)\/(-24))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 19)\/((-9)\/(-24)). Let z = 730 + i. What are the prime factors of z?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-15))\/((-1)\/(-9)). Let y = -1 + 4. Suppose 2*b - 22 = 5*q - q, -3*b - o = y*q. What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-126)*4\/(-2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 + z**2)*(-1 - z + 1)*(4*z + z - 4*z)*(-5*z + 5*z - 2*z).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/228585 and -83\/914340.\nAnswer: 914340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = -0*t. Let z be (-78)\/(-30) + t\/(-5). Solve -2*u + z = 3*f - u, -2*f + 1 = u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4216, 4218, 4222, 4228, 4236, 4246, 4258?\nAnswer: 4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 345 = -5*q, 4*s - 49 = -q - 346. Is s bigger than -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -171?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7520.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9)\/h)\/(h*h**(2\/3)\/h*h*h))\/(h**(-1)\/(h**3*h)) assuming h is positive.\nAnswer: h**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81, 210, 391, 624, 909?\n\"Answer: 26*y**2 + 51*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 76290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h, -3*p + 61 = -3*h - 50. Let c = p + 16. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4396, 8794, 13192, 17590?\nAnswer: 21988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 15 + 0 + (-1 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 0)*1 - 15*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 783*k + 3894. Calculate o(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i. Let w = -6 - -5. Let u(g) = 37*g - 374. Let n(t) = 13*t - 132. Let k(r) = 17*n(r) - 6*u(r). Let j = -11 + 5. Give j*k(s) + w*q(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:02 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 554127 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3 - 4) + (-13 - -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113552 + 5?\nAnswer: 113560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8 and 103\/16386.\nAnswer: 65544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 6:32 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 34. Let k = 3558 - 49737\/14. What is the common denominator of 740\/8*(-6)\/l and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*k + 738, d = -4*d - 25. Let f = 315 + k. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.31371 litres in millilitres?\nAnswer: 22313.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 3680574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1079, -2265, -3465, -4685, -5931, -7209?\nAnswer: -8525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 850 and 17170.\nAnswer: 85850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/90 + (-2)\/(-9). Let s = -2.6 - -0.6. Let h = 2.4 + s. Which is the biggest value? (a) h (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 22. Factor 25*i**3 + 0 + 55*i + 65*i**2 + 21 - d.\nAnswer: 5*(i + 1)**2*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31332 + -22221?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 - -3600?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/14)\/(11415\/63924)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 15 = 0, k + 3*k + 32 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-20)\/(-3)*9\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3269603 is divided by 50301?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 2 - (13 + -9)) - 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2097)\/1165*1*15\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 1089.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 270\/6*(-4)\/(-6). Let i(g) = 4*g**2 - 7. Let n be i(9). Let x = n + c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-1 - 4) + 16 + -20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -51\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449, 445, 441, 437?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - 18*s - 33. Let j(c) = 3*c**2 - 16*c - 31. Let v(x) = 3*j(x) - 2*y(x). Suppose v(m) = 0. What is m?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50386 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -2\/3, -47, 3?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 3. Let b be t(-6). Let l(h) = 9*h + 2 + 0*h - 14. Is l(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-101556)\/4433)\/(24\/(-66))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2799 by 4.\nAnswer: 2799\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1769, -1770, -1777, -1796, -1833?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 20 = -5*k. Let u be (-1)\/(k\/405)*3. Find the common denominator of -23\/4 and 4\/8 + u\/48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-51)*((-12)\/2)\/(-90).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(70) + (4*(sqrt(70) + -1*sqrt(70) + sqrt(70)) - sqrt(70)) + sqrt(70))\/(sqrt(10) - (sqrt(10) + sqrt(250) + 1*sqrt(250)))*-3)**2.\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**3 + 4*w. Let b(n) = 2*n. Determine b(f(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 0) - (-25 - -27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4768, 4759, 4744, 4723?\nAnswer: 4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-3)\/(-1) - 147996. What is l rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1053) + -1 + sqrt(13) + 1 + -3)**2.\nAnswer: 48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -11010010111011001010?\nAnswer: 11010010111010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253555 (base 10) to base 8.\nAnswer: -757163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 + 1\/135*p**6 + 4*p - 1\/18*p**4 + 1\/90*p**5 - 5\/27*p**3 - 2\/9*p**2. Factor y(l).\nAnswer: 2*(l - 2)*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106122660 - 20?\nAnswer: 106122640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*d + 5*x - 20 = -656*d, -15 = 3*d - 5*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1200951 at most as big as -1200952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2080757 rounded to the nearest 10000?\nAnswer: -2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r + 0*r + (3*r - 3*r + 2*r)*(2 - 1 - 2) - 422*r - 316*r + 1260*r + 1475*r.\nAnswer: 1998*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-1512)\/1323)\/(2\/(-1995))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, v: 1, l: 3, m: 1}. What is prob of sequence ltv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 2. Suppose -11*w = -b*w - 216. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w - 108*w**2 + 54*w**2 - 5 + 52*w**2. Let z be (-462)\/121 + 4\/(-22). Determine h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25171.848 * -2.\nAnswer: 50343.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*18\/1620*(-2)\/(-126).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 4. Let r(h) = -7*h - 5. Suppose 0 = -10*u + 13*u - 15. Determine u*r(w) + 6*n(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*c + m, 0 = 2*c - 3*m - 5 + 1. Let r(a) = 10*a + 9. What is the tens digit of r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 + 61 + 39)*(2*w + 4*w - 5*w) in the form s*w + k and give s.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -102.1.\nAnswer: 101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, x: 3, j: 1, g: 1, m: 3, z: 3}. Give prob of sequence wzz.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, a: 2, j: 1, n: 4, b: 2, d: 2}. Give prob of picking 1 n and 2 b.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393722, 393720, 393718, 393716?\nAnswer: 393714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, z: 1, u: 4}. Give prob of sequence wwuu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + (2*sqrt(432))**2 + (sqrt(3) + sqrt(9)\/(3*sqrt(3)))**2 + (sqrt(375)*-4 + sqrt(15))\/(sqrt(90)\/sqrt(2)).\nAnswer: -13*sqrt(3)\/3 + 5200\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -7c7?\nAnswer: -7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -4*z, -6 + 18 = 2*i - 3*z. Calculate the smallest common multiple of 7 and (-1)\/(4\/(-56)) - i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 127. Let x = n - -27. Let b = -7 - x. Let f(w) = -w + 6. Let p(o) = -1. Calculate b*p(z) + f(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*o + 15, -69*u - 1 = -64*u + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 8*w**2 + 7*w - 11. Let f be q(-9). Let b be (-64)\/(-6)*21\/f. Let m be 5 + -3 - (-1 - 5). What is the greatest common divisor of m and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-275241\nAnswer: -550482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*a = -68*a + 69*a + 127*a + 21600 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*b - 36 = 0, 2095*b = 3*c + 2092*b + 36 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -576, -1398, -2576, -4110, -6000, -8246?\nAnswer: -10848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90401963.\nAnswer: 97, 509, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-520)*6)\/(-3*1\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 + 207. Suppose 5*s - 2*j - 6 = -34, s = 5*j - 1. Which is the second biggest value? (a) s (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((33 - 159) + 39)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -26. Suppose w - 2*t = -a*t + 5, 0 = 4*w + 3*t - 20. Does 3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h - 7*h - 38*h)*(0*h + 0*h - 2*h**2).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*t + 3966, -24*t + 26*t - 3954 = -2*v. Does 115 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47867843 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 171177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 4. Let g be c(-3). Suppose -v = -g*v + 2. Suppose 0 = m - 5, v*d + 2*m - 21 = 39. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -84. Calculate the least common multiple of (24\/6 - l) + (-1 - 2) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.68. Let j = g - 0.58. Let u = j + 0.2. Which is the second smallest value? (a) 5 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2421.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbyubj. Give prob of sequence jb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298792*h**2 - 298789*h**2 + 59 - 59.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -244 + 7. Calculate the remainder when g is divided by 1\/2*3*(-32)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002722 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116713631 divided by -87953.\nAnswer: -1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.03 and -410.72.\nAnswer: -411.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 21 = 3*s, 5*u = -3*s + u + 30. What are the prime factors of (s\/(-8))\/((-3)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -5, -25, -51, -77, -97, -105, -95?\n\"Answer: q**3 - 12*q**2 + 21*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 5. Let s be d(0). Suppose -s*k = -4*a + 23, -2*a - 9 - 2 = 5*k. Suppose 32 = -107*g + 99*g. Sort a, 0, g.\nAnswer: g, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, o: 2, p: 1, n: 4}. Give prob of sequence pt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 25*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 77. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.048, 1130, 11, -0.5, -3\/7?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c + 2*c + 5*n, 0 = -3*c - 4*n - 2. Let a(s) = -s**2 - s. Let w(q) = -q**3 - q**2 - 4. Let v(z) = -6*a(z) + w(z). What is v(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 335366 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3537, 75, -1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 3\/7, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:51 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-18)\/12)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*a = -0*n + 645, -5*n = 4*a - 1071. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -855 + 869. Solve 12 - o = -3*c + 5*r, 0 = -5*c - 5*r + 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18516523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1 - 2*g**3 - 14*g + 0*g**3 + 0*g**3. Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/37, 0, -201, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 5 = 0, -2*i + 3 = -f. Let l(r) = -r**2 + 3*r + 1. Let k be l(i). Let x be (-2)\/4*(-2)\/k. What is the second biggest value in 0.2, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5879 - -5847. Which is the second smallest value? (a) 6\/5 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -47) + (8 - 10) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 6*q + 15*q + 7 - 10*q. Give t(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.75 + -4. Let j = 6.85 - t. Let s = j + -6. What is the closest to s in -5, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 3852 + 2988. List the prime factors of 2\/(5\/k*-3)*4.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 124 - 25 = 0. Let s = y + -31. Let l(k) = k**3 - k**2 + k - 1. Let t(a) = -4*a**3 + 4*a**2 - 3*a + 3. Calculate s*t(i) + 6*l(i).\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-20)\/12*(-36)\/(-315)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -17, -36?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37327227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/31))\/o)\/((o\/o**5)\/o))**(2\/31) assuming o is positive.\nAnswer: o**(306\/961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 305078 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -715 - -715. Let u be (-2)\/8 + 14\/(-8). What is the smallest value in u, y, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Let k be (3 - 12)\/(-3) + 54. Determine g so that 3*g**2 + k*g**z - 19*g**5 - 44*g**3 + 6*g + 15*g**3 - 16*g**3 - 2*g**5 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w - 2 + 3\/2*w**2 + 1\/4*w**4 - 5\/4*w**3.\nAnswer: (w - 2)**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 198, 107, -17 in increasing order.\nAnswer: -17, 3, 107, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5992464 to the nearest integer?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*m + m = 27, 2*m = 5*o - 62. Let w be (-22)\/(-1) + 9*4\/o. Solve -5*i - t + w = -6*t, 3*t = -4*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 1, w: 3, f: 2, d: 3, k: 3}. What is prob of sequence kwyq?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -396 - -402. Let a(k) = 28*k**2 - 2*k + 21. Let p(h) = 25*h**2 - 3*h + 22. Let l(t) = z*a(t) - 5*p(t). Find the second derivative of l(j) wrt j.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 763521528 + 2?\nAnswer: 76352152a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j**2 + 218*j**3 + 1 - 2*j**4 - 218*j**3 to the form y*j**2 + x*j**4 + d + f*j + i*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.051 (c) -1\/3 (d) 2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705049 - 1263800 = -9*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 158 - 1992*k**4 + 996*k**4 + 997*k**4 + k - k**2 as q*k**4 + h*k + g*k**3 + l + y*k**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, v: 5}. Give prob of sequence vvv.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*b = -21, k + 13*b - 11*b = -6. Let c = 152 + k. What is the greatest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924440412+1818.77\nAnswer: 924442230.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5\/2*f**4 - 5\/3*f + 10\/3*f**3 - 5\/6*f**2 = 0. Calculate f.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/120 + u**4\/4 + 103*u**3\/6 + 7*u**2 + 2. Let o(z) be the first derivative of m(z). Suppose 5*v - v = 28. Give o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9.03, -0.3, -6135\/7, -1\/2?\nAnswer: 9.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*1*-6) + -1*sqrt(156)*2)\/(sqrt(12) - (sqrt(12) - (sqrt(48)*1)\/sqrt(4)) - sqrt(192)*-5).\nAnswer: 5*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 smaller than 1347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/105*10\/8*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22246?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5 - 4 - (-12 - 4 - -6)) + -60?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(99) + -3*(sqrt(99) + 0))*-3)**2.\nAnswer: 801900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = -8. Suppose 34 = u*m - 171. Let d(l) = -l**3 - 20*l**2 - 2*l - 26. Calculate the remainder when m is divided by d(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -499 + 877. What is the greatest common divisor of a and 882?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3241 (base 14) to base 7.\nAnswer: -34211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 144760 = 26*h - 60*h. Round h to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 86203 - 176099 = 0. Suppose -4*b + 365000 = -5*u, -2*u + 4*b - g - 58566 = 0. Round u to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835717341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1303002210 (base 4) to base 7\nAnswer: 4001526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.04 + 3. Let u = g + 0.44. Which is the second smallest value? (a) -2\/11 (b) u (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000610052948 rounded to 7 dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2456320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156659 or -5169796\/33?\nAnswer: -156659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 78 (c) -0.4 (d) 2 (e) -0.07 (f) -49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**4 + 2*q**3 - q**3 - 8*q**4)*(-1 - q + 1).\nAnswer: 2*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -86*w - 597. Let y be l(-7). Sort -5, 3, y in decreasing order.\nAnswer: y, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((10\/(-5))\/6). Suppose 2*z = -a + 151, -2*a + 230 = -t*z - 51. List the prime factors of a.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**2 + 2*u + 45. Let t be f(-5). Let r = -196 + t. Solve 6 = -4*x + q, 4*x + r + 0 = 5*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682085683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -132330231201 (base 4) to base 10\nAnswer: -8112993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13324080 divided by -5?\nAnswer: -2664816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -55. Solve k*t - 1 = 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-7) - (-301)\/(-49). Let i(t) = 9*t**3 - 6*t**2 + 6*t - 6. Let n(z) = 11 - 5*z**2 + 17*z**3 + 11*z + 9 - 6*z**2 - 31. Give k*n(c) + 11*i(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188811)\/(-8991)*89\/(-21).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33254)\/(-8) + 10\/40. Suppose -5*f = -4*m + s, m + 62*f - 65*f = 1034. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 + 517 = 121*i - 303 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3\/2 - 225*q**2 + 891*q\/2 - 222 = 0.\nAnswer: 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {p: 1, s: 1, k: 1, g: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 198 + 0*q + 0*q + 557 - 755.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 0*c - 4*s = -8, 4*s + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550397 and 3992.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -141, -209, -277, -345, -413?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9) + 33\/9. Suppose 2*m - 175 = -3*f, f + t*m - 61 = 9. What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7217 (base 10) to base 15.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**(-27) assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 8:08 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 2*r**2 - 1. Let f be z(-4). Let a be (f\/2)\/(3\/(-12)). Is (a\/(-4))\/((-3)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3*i**3)*(-1 + 1 + 2)*(0 + 1 + 1) to h*i**3 + g*i**2 + n + u*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -38 + (13 - 24) + 2 + 4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(-80)\/60?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184235482?\nAnswer: 2, 103, 769, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8993589 micrometers?\nAnswer: 0.0000008993589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 140\/56*12\/15. Let j(p) be the second derivative of 5*p + 0 - 1\/2*p**3 + 5\/2*p**g. Let s(m) = -4*m + 6. What is 5*j(u) - 4*s(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*j**2*k**3*n**3 + 4*j**2*k**2 + 3*j**2*n*q - 2*j*k**3*n**3*q + j*k**2*n**2*q - j*k**2*n*q - 4*j*k*n**3 wrt k.\nAnswer: 162*j**2*n**3 - 12*j*n**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 21 (b) -2\/7 (c) -66.5 (d) -3.8 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 100 = j. Let a = -18 - j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1242 - -689. Let d = 1022 + q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.32. Let k = -3.002 - -3.002. Is k smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -0.1, -0.01, -1.\nAnswer: -1, -0.3, -0.1, -0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2875\/1084?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 1)*(-32)\/20. Let j be (-30)\/r + (-1)\/(-4). What is the highest common divisor of j and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*q**3*u - q**3*y - q**2*y - 873*q**2 - q*u*y - 14*q*u - 18870*u - 1533*y wrt u?\nAnswer: -4*q**3 - q*y - 14*q - 18870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, s: 2, l: 4}. Give prob of sequence sl.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2760374us in hours?\nAnswer: 0.0000000020211215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = 20. Let i = 509 + -2023\/4. What is the common denominator of (7 + 0 - t) + 220\/(-72) and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 63*i**3 + 8*i**2 + 5*i + 5. Let f(a) = -32*a**3 - 4*a**2 - 2*a - 2. Let r(y) = 5*f(y) + 2*w(y). Find the third derivative of r(u) wrt u.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 45, 83, 141, 225, 341?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d + 8 = 0. Suppose 4*u = d*n + 24, -3*u + 0 = 2*n - 8. Solve -2*p = 4*t + 7 - 19, u = 2*p - 4*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -3.7. Let z = 1512 - 1508. What is the nearest to b in z, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -0.1, 0.19, 28?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/270 - 4*j**4\/27 + 13*j**3\/9 - 69*j**2. Factor a(n).\nAnswer: 2*(n - 13)*(n - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95404.\nAnswer: 2, 17, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 4715*k**2 + 756720*k - 28175040.\nAnswer: -5*(k - 72)**2*(k + 1087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1322 (base 5) to base 7.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 3990?\nAnswer: -3982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from {d: 1, r: 8, y: 2, g: 3, i: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 60068677 to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 10345777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b + 78 = 0. Let d = 61 + -128. Let k = d + 106. Calculate the greatest common divisor of b and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h - 8. Let n(l) = -l**2 - 9. Let m(t) = 5*n(t) - 6*v(t). Determine m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 + 6*v - 36 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 + 26*p**3\/5 + 4*p**2 - 48*p\/5.\nAnswer: 2*p*(p - 1)*(p + 2)*(p + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) - (0 + (sqrt(275) - (sqrt(275) - (sqrt(275) + -2*sqrt(275))))) - (-2 + 0 + sqrt(275)).\nAnswer: 2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 3*l - 1. Let t be j(3). Let k(s) = -2. Let h(y) = -1. Let d(w) = 9*h(w) - 4*k(w). Let g(b) = -2*b**2 + b + 3. What is t*g(p) - 3*d(p)?\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 63 = -5*h. Let b be 592\/14 - (-2)\/(-7). What is the greatest common factor of h and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -60 + 132. Calculate the smallest common multiple of 21 and (388\/(-3))\/(-4) + (-6)\/b.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d - 8. Let h be -3*8\/(-12) - 2. Let c be (32 + h)\/(6 + -5). What is the highest common divisor of c and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 431352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, e: 5, x: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 1. Let b(s) = -14*s + 8. Give -b(k) - m(k).\nAnswer: 13*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131.3 - -12.3. Let y = -98843.993 + 98963. Let q = j + y. Round q to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 104367000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266938243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*46\/((-42228)\/170))\/((-5)\/6).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 274 + 86. Let u be 171\/g - (-6)\/15. Which is the second smallest value? (a) 1\/8 (b) u (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0 + 4*b**3 + b**2 + 7*b - 5*b**3 + 0. Let h be a(3). Suppose h*z - 91 = -5*i - 1, -3*i = 4*z - 120. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 + 392. Let h(x) be the third derivative of -x**5\/60 + x**4\/12 - x**3\/6 - 2*x**2. Calculate h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85920477*j**4 - 1094727*j + 1.\nAnswer: 1031045724*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 17*d**2 - 18*d - 1. Let u be v(-16). Suppose -7*j = u + 95. Calculate the common denominator of j and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -96*g**3 + g + 2 + 126*g**3 + 3*g**3 + 152*g**3 - 2*g**2 + 156*g**3. Calculate the remainder when m(1) is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 9 + 7 - 15 + 3. Let l = 6 - 11. Let x(w) = 7*w - 9. Let h be 3\/9*12\/(-2). Determine h*x(t) + l*z(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-16 + -29 + 22).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 19 + 14 - 5*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) -0.3 (c) 1\/2 (d) -0.07 (e) -5 (f) 2\/5 (g) 0.037\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(1*sqrt(12)*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 + 5. What is the nearest to o in 4\/9, -0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 50, 123, 236, 395, 606, 875, 1208?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.995 + -0.005. Let g = z - -22. Let d = 4 - 4. Put g, -2\/7, d in ascending order.\nAnswer: g, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 223*m**2 + m. Let t be r(1). Suppose -5*a + y = -t, a + 4*y = 5*a - 176. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 16) + -3 + 130 + -83?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -9. Let p = -0.4 + 0.37. Let y = p + 0.23. What is the biggest value in 0.5, a, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s - 25. Let z(h) = 19*h**2. What is f(z(u))?\nAnswer: -57*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 5055?\nAnswer: 5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3*y**2 - 2*y**2)*(14*y**3 - 17*y**3 + 25*y**3).\nAnswer: -22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + 13 + -37 - (-6 + 8)) + -63.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 49288*t.\nAnswer: -4*t*(t + 12322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2\/9, -0.054, -0.3, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 825 + -824.9. Which is the fifth smallest value? (a) y (b) 0.073 (c) 4 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 divided by -4.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 + 3*g - 1 - g**3 - 2 - 2*g. Let s be w(-9). Let c(q) = -4*q - 111. Let x be c(-25). Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 862 and 124?\nAnswer: 53444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 328 - 425*t**2 - 331 + 346*t**2 - t - 576*t**2 as j*t + x + u*t**2 and give u.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 26 = 5*c, 3*c + 23 = 35. Is o greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/49 + 158\/245. What is the closest to c in 1, -6, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**7\/504 - 5*u**6\/72 - 25*u**5\/24 - u**4\/8 - u**3\/6 - 2*u**2 - 18. Let s(t) be the second derivative of k(t). Factor s(o).\nAnswer: -5*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t + 25. Suppose 3*a = -3*j - 2*a - 27, -17 = 5*j - a. Put j, 0, t in ascending order.\nAnswer: t, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 282, 554, 826?\n\"Answer: 272*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.6849 less than -190.9089?\nAnswer: -730.5938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2124 and -2124 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*f - 50 = 0, 3*l - 2*f + 6*f + 55 = 0. Let v = 25 + l. Solve 5*z + 7 + 18 = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 g when three letters picked without replacement from {a: 13, g: 1, q: 3}.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 620*c*o*r**3 + 7*c*o*r + 5*c*r - 112*o**2 - 22*r**3 - 8443*r**2 wrt o.\nAnswer: 620*c*r**3 + 7*c*r - 224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r - 59. Let u be c(5). Suppose -17*k + u*k + 9493 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 25*p**3\/6 - p + 602. Let g(w) = -851*w. Calculate -2*g(x) - 69*l(x).\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -414511 - 6?\nAnswer: -414520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5429795, 21719212, 48868251, 86876918, 135745219, 195473160, 266060747?\nAnswer: 347507986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 less than or equal to -467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.27087792 rounded to 2 decimal places?\nAnswer: -88.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297, -307, -317, -327, -337?\n\"Answer: -10*m - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**4)\/(t*t\/t**(-7\/3)))\/((t\/t**(4\/5))\/t**(-2\/7))*t**(1\/17)*t**1*(t*t**(-2))**(-17) assuming t is positive.\nAnswer: t**(32558\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4*h**2 - h - 2. Let x(s) = -s**3 - 3*s**2 + s + 1. Let r(g) = 2*o(g) + 3*x(g). Let n(b) = b**2 - b + 1. What is n(w) + r(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -57. Let w(c) = b*c**2 - 11*c**2 + c**3 + 3*c - 9*c**2 - 4. Let y be w(-3). Let s(l) = -l + 3. Give s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/663*-68*(-2 - (-18)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 977*m + 11304. Give q(-12).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-5 - 19)*(0 + -2). What is the biggest value in t, -2\/19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000219628 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 41332*v**2 + 165280*v + 165264.\nAnswer: 4*(v + 2)**2*(v + 10329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*k + 2 + (-2 - 1 + 0)*(1 + 2*k - 1) + 0*k - k + 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454, 982, 1542, 2134, 2758, 3414, 4102?\nAnswer: 4822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + ((-522)\/4 - -2). Let b = 122 + j. What is the nearest to -1 in -0.1, 0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1212 and 143\/75144?\nAnswer: 75144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 6. Let w(p) = -4*p - 10. Let z(x) = -12*x - 31. Let g(f) = -8*w(f) + 3*z(f). Determine -4*g(l) - 9*u(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 88*n - 15. Let y be r(10). Let l = -2035 + y. Let v = l + 11689\/10. What is the common denominator of v and -21\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2173 and 4764753?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 2, p: 3, t: 8, c: 6}. Give prob of sequence ttpy.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9049 is divided by 1657.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(-1)*(-42)\/(-196)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6755, 6807, 6867, 6935, 7011, 7095, 7187?\nAnswer: 7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 196406726 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -15\/107?\nAnswer: -15\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260 - -545\/2. Calculate the common denominator of -103\/54 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(-14))*c*c*c*c**(-5\/7) assuming c is positive.\nAnswer: c**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6179 is divided by 3087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-42)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*r - 4*k - 368, 2*r + 2*k - 132 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51744 by -6.\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-3\/4)*o*o)))\/o*o**(-7)*((o*o**(2\/17)*o)\/o)\/(o*o*o**4))**(-2\/11) assuming o is positive.\nAnswer: o**(791\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-5))\/((-15)\/75)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1\/3 (c) -5 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.22 + 0.92. What is the nearest to 1\/3 in v, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8861\/80 - -546\/5. Calculate the common denominator of l and 1815\/336 + (-4)\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 3, z: 1, e: 2}. Give prob of sequence oeez.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52327991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 5453 + 527. What is the highest common factor of d and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 6735937?\nAnswer: 6735946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/(-585))\/(-20) - (-26604)\/(-1404)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**3 - 2*i**2 - 6*i - 6. Let x(p) = -p**2. Let t(w) = -13*w**3 - 7*w**2 - 11*w - 11. Let j(l) = t(l) - 3*x(l). Give 6*j(v) - 11*u(v).\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-96)\/(-28))\/(4\/14). Suppose -m*z + 30 = -6*z. Solve 3*t = -10 - z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1783079*l**4 + 8*l + 6221 wrt l.\nAnswer: -21396948*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 10) + 4 - -16. Calculate the greatest common factor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 6. Let c be (m + (-2)\/(-2))*1. Let s(d) = d**3 - 5*d**2 - 3*d + 4. Is s(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82575214 and 8.\nAnswer: 330300856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674762291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 6. Let q be n(-8). Suppose 0 = q*b - 0*b. Suppose b*x = -2*x. Solve -3*j + 3 - 18 = x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l**2 + 126*l. Let y be h(9). Let q(x) = -x**2 + x - 1. Let z(s) = -4*s - 9. Let k(a) = q(a) - z(a). Let w be k(6). Solve -w*b + 2 + 4 = y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-24) - (-2)\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*i. Suppose 12 = 4*l - 5*n, 0 = 4*l + 4*n - i - 10. Factor -6\/11*p + 2\/11*p**l + 4\/11 + 0*p**2.\nAnswer: 2*(p - 1)**2*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 13. Suppose j = 6*j - 25. Suppose 5*q + y*u = 0, -3*q + 8*q + j*u = 0. Solve -f - 5*x + 3 - 28 = q, 2*f + 14 = -x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 1:40 AM?\nAnswer: 377","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 34*v + 95. What is m(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319426 + 50*d**2 - 319426 + d.\nAnswer: 50*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -121. Suppose -2*y = -4*u - 22, -3*y + 5*u + r = 2*y. Sort y, -3, -2, -7.\nAnswer: -7, -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 24*r**2 + 25*r + 37. Let l be o(-11). Let h(g) be the third derivative of g**6\/120 - g**5\/20 - 5*g**4\/24 + g**3\/6 - g**2. What is h(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15 = -3*r, -5*r + r = -t + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h + 2. Let q be m(8). Suppose -q = -2*s + 78. 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: Let g(q) = 226*q**2 - 57*q + 1569. Is g(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((21\/6 + -3)\/(-1)). Suppose 2*a = 4*u + x, 4*a + u - 16 = -u. Suppose -z + 4*w + 626 = a*z, -z = -5*w - 121. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**3*p + 4*l**3 + 841*l**2*p - 2*l**2 - 4*l*p + 34*l + 2*p + 3 wrt l.\nAnswer: 30*l*p + 24*l + 1682*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-264))\/((-20)\/550)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h - 290. Let q = h + 60. Suppose 0 = q*a - 3*d - 104, -2*a - a + 182 = 2*d. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 + 210 - 642 - 3*i + 215.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*t = -40, -1379*c + 1376*c - 5*t = 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*m + 120, 34 - 9 = 5*w. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8151558226 + 0.022\nAnswer: -8151558225.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769 is divided by 909.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 + 5*y + 6. Does 8 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33678 - 12669. What are the prime factors of z?\nAnswer: 3, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.44 (b) 2\/5 (c) 339 (d) 2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 80, 0.3, -2.04 in descending order.\nAnswer: 80, 0.3, -2.04, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 14. Suppose 0 = -24*p + z*p + 4419. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:51 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - 16\/12. Let u be 3\/(q + 7\/2). Factor u*l**2 - l + l**5 - 1 - l**4 + 3*l**5 + 2*l**3 - 5*l**5.\nAnswer: -(l - 1)**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114088.\nAnswer: 2, 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127515 is divided by 991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67511.12mg to tonnes.\nAnswer: 0.00006751112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:18 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**9\/14 + 13*v**5\/20 - 15*v**2. What is the third derivative of o(g) wrt g?\nAnswer: 4320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4828815 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/125 - -216\/2125. What is the second biggest value in 0.5, 5\/3, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 295760 and 3504756.\nAnswer: 70095120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 579 = 408. Let n be (-2)\/4*2 - k. Round n to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 18. Let v(r) = 7*r + 2. Let c be v(-1). Let z(j) = -j - 1. Let g(f) = c*z(f) - k(f). Let b be g(-11). Sort -5, b, 3 in ascending order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-14)*(-16)\/(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 635 + 58. Let a = 3 + d. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/3, 25\/3, -2\/7 in ascending order.\nAnswer: -2\/7, 0.1, 1\/3, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 13. Let w(d) = -18*d - 16. Let r(t) = 4*t + 3. Let n(x) = -x**2 - 10*x - 7. Let s be n(-9). Let j(p) = s*w(p) + 11*r(p). What is j(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:26 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let n be h(-3). Let i(z) be the third derivative of z**5\/60 + z**4\/12 - z**3\/6 + 2*z**2. Determine i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12. Let v be 484\/(-825) + 2\/3. Is y greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2340 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 11) to base 14.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 58*s**2 - 828*s - 69. What is n(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 b, and 1 e when four letters picked without replacement from vbhbbevevhb.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7 and 73\/5511.\nAnswer: 38577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 20. Let d(t) = 4*t**3 - 15*t**2 - t - 6. Let v(g) = 5*g**3 - 16*g**2 + g - 5. Let x(r) = 6*d(r) - 5*v(r). Give x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52746 and 22350.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -17*t + 8. Let q = 5 - -9. Suppose 0 = -2*s - q - 4. Is c(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 125 + -5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q + 2 + 2*q)*(3 - 3 + 3)*(-4*q + 6 - 6)*(23*q + 20*q**2 - 23*q)*(3 + 1 - 5).\nAnswer: 240*q**4 + 480*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/7 + 34550*q**3\/7 - 21328450*q**2 + 745632250*q\/7 = 0. What is q?\nAnswer: 0, 5, 8635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 5:14 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 + 125*u**4 - 61 + 115)*(1 + 5 - 4) to the form t*u + p*u**3 + l*u**4 + w + x*u**2 and give l.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -931, -3194, -7631, -14974, -25955?\n\"Answer: -122*w**3 + 11*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 2\/3, 10577, -2, -2\/209 in descending order.\nAnswer: 10577, 2, 2\/3, -2\/209, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -43. Let o be 4\/(-2 + 1 + 2). Let m be v\/o*(-4)\/27. Sort -2\/11, 3, m in decreasing order.\nAnswer: 3, m, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5)*(-410)\/1722)\/(6\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-1760)\/(-192)) + 4 - 1?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86659885.\nAnswer: 5, 13, 83, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 6*z**2 + 14*z - 50. Let k(w) = 9*w**3 + 17*w**2 - 40*w + 148. What is 6*k(h) + 17*t(h)?\nAnswer: 3*h**3 - 2*h + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2 - 4*b**2 - 4*b + 0*b)*(-11*b**2 + 2*b**2 - 9*b**2).\nAnswer: 72*b**4 + 36*b**3 - 36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 194\/(-24) + (2599\/276)\/113?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2160\/(-7920) + (-1335)\/(-55) + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 4*y)*(5 - y - 5 + 3).\nAnswer: y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/20 + 25*n**4\/8 + 73*n**3\/6 - 2263*n**2. What is g(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/117 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 686362 or 686363?\nAnswer: 686362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/130? (a) -1\/4 (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16, -12 in decreasing order.\nAnswer: 16, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-6) - (5047\/(-42) - 10). What is the greatest common factor of o and 6695?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 120*l**2 + 3375*l + 17010.\nAnswer: -5*(l - 42)*(l + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 522280 to the power of 1\/2, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50913*u - 101887*u + 50947*u.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - (-37 - -3520)\/81.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - -2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 139061, 278017, 416973, 555929, 694885, 833841?\n\"Answer: 138956*d + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y**2 - y. Let w be 0\/1 + -4 - -9. Let q(n) = -w*n - 20*n**2 + 2*n + 23*n**2 - 11. Let t(k) = 3*d(k) - q(k). Differentiate t(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2 + 2*sqrt(19) + sqrt(95)\/(sqrt(5) + sqrt(80)) + -5)**2.\nAnswer: -224*sqrt(19)\/5 + 6089\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = -3*j + 5*m, 4*j - 897 = 2*m + 3*m. Suppose 3*f = 3, v - f - 208 = j. Is v - 16 - 2\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246\/12 - (7 - (-164)\/(-24)).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -77 - -c8?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -1\/4 (c) 1\/20 (d) -0.3 (e) -3 (f) -0.1 (g) 38\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1954880 - 946280. What is z rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.4 times 106\nAnswer: -3116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0*m - 3*m**2 - 2*m**3 + 2*m + m**3 - 4. Is o(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {y: 2, w: 1, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -589 + 587. What is the fourth smallest value in -1\/2, -11, 2\/19, y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 - 21*d + 11. Let k be r(19). List the prime factors of (1*(-3)\/1)\/(8\/k).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 3)*(-3)\/4. Let n be (-32)\/(-4) + -3 - f. Suppose 4*q = 2 + n. Put -1, q, 5 in descending order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (414\/48 - 3). What is the second biggest value in 1, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 2*v = 146, -k - 5*v - 13 = 0. Let s be ((-6)\/k)\/((-36)\/(-48)). Which is the nearest to 6? (a) 1 (b) s (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, -10, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2955*n**2 + 8*n - 7. Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/35)\/a)*a**(-20))\/((a**(-4\/7)*a)\/a**(1\/7)) assuming a is positive.\nAnswer: a**(-638\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.2 - -55.6. Let t = r + -0.4. Let h = t + -27.1. Which is the third smallest value? (a) h (b) 3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670404 and 3381?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1032 + 1849. What are the prime factors of s?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 21*n = -5238. Suppose 5*s = -2*g - 663 + 2742, -5*g + n = -s. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 2*j - 3. Let c(q) = 4*q - 13. Let f be c(2). What is r(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-34) - (420\/102)\/(-1). Let m(k) = -k. Let x be m(4). Put x, 2, g in increasing order.\nAnswer: x, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 2132*g**2 - 315092*g - 7974560.\nAnswer: -(g - 1970)*(g - 184)*(g + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from hhjjpjjphhjjjjpjpjh.\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1.005\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 0 - -1) + (-146 - (-69 + -124)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 255*h + 45*h - 67*h + 1012 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m**2 + 9*m**2 + 20*m**2)*(3*m**2 + 17*m**2 - 9*m**2 + (-4 + m + 4)*(-m - m + 4*m)).\nAnswer: 169*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.1 - -167.\nAnswer: 117.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t - 11 - 7 + 25 - 1 + 8*t**2. Is b(6) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*m**3 + 8*m**3 - 1 + 2*m)*(3 + 0 + 1) to the form g*m + b*m**3 + v + d*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20225 (base 6) to base 10.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f + 2. Let d be o(3). Suppose 4*t + 0*t = d. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 130*i + 4007. Give w(-31).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 1582?\nAnswer: -157a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1)*-1)**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 8*m - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2250*m**4*o*q - 15*m**3*o**3*q - 47*m*o*q - o**3 + 17*o*q wrt m?\nAnswer: 27000*m**2*o*q - 90*m*o**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 20 - 9*k + 16*k - 6*k**2. Let v(f) = -2*f**2 + 5*f - 7. Calculate 5*o(n) - 14*v(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1350)\/720)\/(657\/12))\/(50\/40).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, z: 2, h: 2}. Give prob of sequence zh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11*v. Let b(t) = t + 1. Let c(g) = 4*b(g) - z(g). Let f(j) = -32 - 7195*j - 7199*j + 14381*j + 39. Let i be -8 + -2*2\/(-4). Give i*c(s) + 4*f(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + y**2 + (-5*y + 3*y - 2*y)*(y + 5*y - 4*y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 4 = -w, 11 = 4*w - 3*h. Let j = 2\/61 - 128\/183. What is the nearest to -1 in 0.5, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o**2 + 26*o - 26*o)*(-2*o**3 - 3*o**3 + 3*o**3) + (1 + 2 + 0)*(2*o**5 - o**5 + o**5).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.88 + -1.48. Let n = -0.2 - -0.1. Let m = n - -4.1. What is the closest to 1 in k, 5, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + 1020 = 0. Let y = t + -2033\/6. Is y at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 427\/15 + -145\/6. What is the common denominator of a and 17\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*x + 23. Let m be -72*41*(-6)\/x. Suppose 0*d + 1489 = 3*g + 5*d, 2*d + m = 4*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*l + 52, 148 = -2*g - 546552*l + 546561*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 4, r: 1, n: 4}. Give prob of sequence nh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397320.88 - -3?\nAnswer: -2397317.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 2191.\nAnswer: -159\/2191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 150*c**2 + 385*c + 540 = 0 for c.\nAnswer: -1, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 11*j - 351. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in 0.06, -0.09, -1\/7105?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40695975*r**3 + 17319153*r.\nAnswer: 244175850*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/5 of a century?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 742719814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.573612 millennia?\nAnswer: 6573.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33065 (base 7) to base 9\nAnswer: 12318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 43569*k + 522396.\nAnswer: 3*(k - 14511)*(k - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/30 + (-2)\/(-7) + (-34)\/(-595). Put -3, -3\/5, t, 7.7 in ascending order.\nAnswer: -3, -3\/5, t, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1002 by 334.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19975887, -19975870, -19975847, -19975818?\nAnswer: -19975783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let f(s) = s + 1. Let m be f(2). Let r(o) = m*o - 8*o + 2*o. Determine g(r(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3 and 229841318038.\nAnswer: 229841318036.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Let y be (-7)\/(-5) - l\/10. Let c = y - 5. Sort -5, -3, c in descending order.\nAnswer: -3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (83\/8 - (-3)\/(-8))\/(-2). Let n(r) = -4*r. Let z(m) = -8*m + 1. Determine i*n(f) + 2*z(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15) - (-52)\/20. Let v = 6 + x. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -12*b + 25*b - 40*b - 942, 0 = -4*b + 11*u - 107 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 0, 41158 in decreasing order.\nAnswer: 41158, 306, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*a + 133, 113 + 16 = 5*a + 4*c - 50 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -82.48. Let v = -12.38 - k. Let l = 9.5 + v. Which is the nearest to -3? (a) -4\/9 (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let c be z(-2). Let x be (0\/10)\/(c + -5). Solve x = -4*i + 3 + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 6*d + 3. Let o be l(-6). Let u(x) = -o - 5 - 5*x + 4*x. Suppose -5*c - 14 = -14. What is u(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18941 is divided by 9457.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 85\/25) + 14\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -0.01. Let i = w - 1. Which is the nearest to -0.1? (a) 1\/6 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**7\/3780 + a**5\/45 - 7*a**4\/6 - 15*a. Let k(j) be the third derivative of b(j). Factor k(y).\nAnswer: -2*(y - 2)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*n + 4*d = -100*n - 22, d + 4 = 0. Solve 2*k + 24 = 3*i + i, -n*k = i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -252. Let k = u + 757. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -31*s**2 + 0 - 13\/2*s**3 + 0*s + 0*s**4 - 5\/12*s**5. What is the derivative of v(c) wrt c?\nAnswer: -50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1460553 minus 0.1?\nAnswer: 1460552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/15 - 58256*c**2\/15 - 425440922*c\/15 - 5921967772\/5 = 0. What is c?\nAnswer: -14543, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141128042 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8787846 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: Which is the second biggest value? (a) -9 (b) -6\/53 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45146376 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/(-2) - 5. Suppose -6526 = -5*b + 8544. Let c(k) = 3009*k**2 + 0*k**3 - k**3 - b*k**2 + 2. What is c(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - n = -168995, 2*m = 2*n + 105780 + 63212. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103552 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 33. What is the tens digit of (-414)\/(-24) - (-2)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*m + 1)*(24*m**2 - 11*m**2 - 5 + 2*m - 9*m**2 + (-2*m + 0*m + 0*m)*(0 - 2*m + 0)) in the form u*m**2 + s*m**3 + b*m + h and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 260493*r - 67856603049\/2.\nAnswer: -(r - 260493)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.172 times -274035\nAnswer: -47134.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -979, -2241, -3503, -4765, -6027?\n\"Answer: -1262*q + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.984 and 15.6664.\nAnswer: -62.4149376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 9*b**3 + 1 + 0*b**3 + 3*b**4 + 8*b**3 to the form m + n*b**3 + p*b + a*b**2 + o*b**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638248.\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v + 15. Let g(d) = -5*d - 7. Let w(r) = -7*g(r) - 4*q(r). Let k be w(-14). What is the highest common factor of k and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 3, z: 3, r: 3}. What is prob of picking 1 z, 1 i, and 1 r?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let r be j(6). What are the prime factors of 15\/r*4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3*d - d + 0 in the form l*d + t and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -5*j**8\/336 - j**5\/15 - 6*j**2. Find the third derivative of h(m) wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34012250 divided by 3.\nAnswer: -34012250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and 0.04?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h - 4 + 17*h - 13 - 33*h. Let x be b(7). Let k = -10 - x. Solve -3*i = -3*u, 4*u + 2*i - k = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -19*q + 1. Let o be c(2). Let f = o + 81. Let y(r) = -3*r**3 - 24*r**2 + 13*r - 16. Let x be y(-9). What is the greatest common factor of x and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.3 + -2.7. Let d = 271901624 + -271901635.0000007. Let z = c - d. What is z rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8286, -33152, -74598, -132624, -207230, -298416, -406182?\nAnswer: -530528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90558400927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*i = 3*i + 953, -5*r + 1594 = -4*i. Let k = -55651\/175 + r. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.58867644 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10122102102220222?\nAnswer: -10122102102220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2011110220102 (base 3) to base 7\nAnswer: -12532514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9965 - 6057. What is u rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5690*t + 3 - 3 - 14336*t - 2.\nAnswer: -20026*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2515, -10197, -23023, -40987, -64083, -92305, -125647, -164103?\n\"Answer: k**3 - 2578*k**2 + 45*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 101\/3. Which is the third biggest value? (a) -1\/2 (b) 3\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 1, y: 3, v: 5, l: 3, r: 6}. Give prob of picking 2 r, 1 t, and 1 m.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 899*c**3 + 1278*c**3 + 177*c**3 + (1 - 1 + 2*c)*(-c**2 - c**2 + 0*c**2) to w*c**2 + p*c**3 + t*c + l and give p.\nAnswer: 2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -11*r - 92 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2. Let d(m) be the third derivative of m**5\/60 - 4*m**2 + 4. Calculate g(d(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196058 = -9751*b + 15011 - 62728 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 17*d**2 - 2*d - 1. List the prime factors of h(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297179*g*m**4 - 2*g*m**2 + 30*g*m + 5*g - 2*m**4 - 12*m**3 + 2830*m**2 wrt m.\nAnswer: -7132296*g*m - 48*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 13*q - 30*q. Suppose -w + 88 = -14. What is the greatest common factor of q and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 6. Let b be g(0). Let q be b - (-4 + 0) - -59. Let k = -58 + q. Sort 4, k, 1, 2.\nAnswer: k, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/4 - 113409*l**2 + 12862962081*l - 308645769816 = 0.\nAnswer: 24, 226806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7818*l*t**2 + 22*l*t + 2*t - 4 wrt t?\nAnswer: 15636*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 12*c. Let b(f) be the third derivative of -1\/2*f**3 - 1\/60*f**5 + 0*f + 0 - f**2 + c*f**4. Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 5822*v\/5 - 2693436\/5.\nAnswer: -2*(v + 577)*(v + 2334)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -466*u + 24226. Determine y(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + 30?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2 - 1. Let y be d*6\/15*-450. Suppose 0 = 3*x + 3*k - y, 179 = 2*x + k + 64. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 28*h - 21. Let o be g(28). Let y be (18\/o)\/(12\/(-1176)). Calculate the highest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*t + 4*t, -g = 5*t. Let x = g + 1. Differentiate j**2 - j**2 - x + 0 + 21*j**4 wrt j.\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-45) + (-1 - 1). Let z = -1 + -1. Which is the smallest value? (a) m (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/12 - a**4\/8 + a**3 - 3*a**2. Let c(n) = -51*n**2 - 30*n + 60. Let i(s) = 2*c(s) - 21*t(s). Solve i(y) = 0 for y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f + 87304. Let b = f + -10174. Round b to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -28*z. Calculate i(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = i - 27, 1142*o - 3*i = 1143*o + 15 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*h - 2*z, 22 = 5*h + z - 24. What is the greatest common divisor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -948 - -1819. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -19. Let v(s) be the third derivative of 0*s - s**2 + 0 + 1\/24*s**m - 1\/48*s**6 + 0*s**3 + 1\/40*s**5. Factor v(r).\nAnswer: -r*(r - 1)*(5*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 + 3 + 2. Let o be -1 + 24*-1 - y. Let i = o - -42. Calculate the remainder when 53 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 + -8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -4 + 13)*-1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 3*j - 1 = 25*x, 0 = 5*x + 2*j + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-29 - 6 - 132)*(o + 0*o + 0*o) to r + t*o and give t.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 193. Let q = -160 + s. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j**3 + 1\/6*j**4 + 7\/15*j**5 + 0 + 2\/5*j**6 - 5*j**2 + 0*j. What is q in w(q) = 0?\nAnswer: -1\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 31, 215, -62 in ascending order.\nAnswer: -62, -2, 4, 31, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + 8 + (11 - 21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 2113 = -2597. Let r = 1587 + x. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from {o: 1, m: 5, g: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309 = -87*c - 1257 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34267076 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 132.94. What is t rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -487, -5, 431, 1 in ascending order.\nAnswer: -487, -5, 1, 15, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033243726 rounded to three dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 + -3. Let o = 3 - 3.12. Let x = -4.88 + o. What is the nearest to 2\/9 in d, x, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 28*z + 63. Does 5 divide x(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001025 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -45, 2 in increasing order.\nAnswer: -45, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39d9b - -1?\nAnswer: -39d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -201\/2. Find the common denominator of -61\/3 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1597*n**2 - 225*n - 227. Is r(-1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -16. Let v be 3*-4*1\/t. Suppose -o - 12 = v*o. Is -4 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 242*r - 4665. Determine m(19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 155*b + 1307. Determine f(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2528 + 6610. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62913 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 1878476.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16775 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 3*c**4 + 18*c**3 - 162*c - 243 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1243 divide 3312090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) - (-1845 + 1782). Let n(w) = -w + 4. Let t be n(-3). What is the highest common divisor of o and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.146 - 0.146. Let k = 59 - f. Let w = -39 - k. What is the nearest to 0.5 in -0.1, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(1\/6)*t)\/t)*t**(2\/85)*((t\/(t\/(t\/(t**(-11)*t))))\/t)**(15\/2))**33 assuming t is positive.\nAnswer: t**(425557\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/4 + a**3\/3 - a**2\/2 + a + 101. Let v(p) = 5*p**3 + 6*p**2 - 4*p + 7. Give 6*r(x) - v(x).\nAnswer: x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-4) + -4)\/1. Let n = -6.2 + 6. Let m(v) = 2*v + 27. Let z be m(-16). Put t, n, z in increasing order.\nAnswer: z, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 6 = 2*w, 2*w - 45*u + 47*u + 8 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 - v + 3. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m + 70. Let r be c(-6). Let k(g) = 77*g**3 - 15*g**2 + 30*g - 10. Is k(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 5 + (-2)\/(-1). Suppose 2*r + 3*t = 39, -2*r - t = -w*t - 46. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.06 take away 0.19?\nAnswer: 27.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/264)\/(22\/(-121)))\/(4\/((-384)\/(-9))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 51 = -u - 4*b, 4*u - 4*b + 124 = 0. Let q = 101 - u. Let w = q - 98. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*h + 105*h = -313*h + 10438816. List the prime factors of h.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meooemezzeemebmmembm. Give prob of sequence ezoe.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16735*a - 992 = -16739*a. Calculate the remainder when a is divided by 122.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from uzazqazqaqm.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5\/9 - 31492*h**4\/9 + 126008*h**3\/9 - 189032*h**2\/9 + 126028*h\/9 - 31508\/9 = 0. Calculate h.\nAnswer: -7877, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*9*-26. Suppose -5*n + 1898 + p = 0. Is (-3 - n)\/(-4 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 37 + 41)*(-2*x + 0*x + 0*x) - 3 + 3 + 35*x - 45*x.\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -31, 0.4, -50 in descending order.\nAnswer: 0.4, -3\/4, -31, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 7) to base 3.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*20190\/154790.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -141?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 5*q + 41, -r - 16 = 4*q. Let x(j) = j + 3. Determine x(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.1. Let o = -39.8126 + 40.4126. What is the closest to -11 in 1\/3, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 114 = -109. Suppose 3*h + 6 = -3. Let m = h - -1. Which is the closest to m? (a) -0.1 (b) w (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -989. Calculate the remainder when j is divided by 147.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17428, 34672, 51916, 69160?\nAnswer: 86404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -196*d + 33. Let j(s) = -107*s + 18. Let x(a) = 11*j(a) - 6*u(a). Suppose -3*c + 4 = -8. Let p(q) = -q**3 - 4*q. Calculate c*x(k) - p(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4 - 4 + (f - 40 + 40)*(0 - 1 - 1))*(-2*f - 4 + 4)*(-3*f + 2*f - 2*f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16449b9 + 3?\nAnswer: -16449b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x + (-3 + 4 + 1)*(-2*x + x - x))*((1 - 3 + 4)*(-3 + 0 - 6) + 1 - 1 - 2).\nAnswer: 120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/(-512)*(6\/16)\/((-3)\/10).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9086 - 9406 = -20*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 184 * -131\nAnswer: -24104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11295 = -4*f + 16345. Round f to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let t(b) = 403*b**2 - 1354*b**2 + 127793*b - 127793*b. Give w(t(l)).\nAnswer: 904401*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8117.84 times -4?\nAnswer: -32471.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 9. Let s be h(-9). Let b be s\/(-3)*2\/18. Factor -b*t**2 - 2\/3*t + 2\/3 + 2\/3*t**3.\nAnswer: 2*(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/((-1)\/15). Let w = t - 8. Let g(h) = -2*h - 8 + 1 + h. Give g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29928857 is divided by 1693.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 33, 17, -27, -111, -247, -447, -723?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424905.4*16.\nAnswer: -6798486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-2*l**3 + 5*l**3 + 9*l**3)*(-70*l + 1299 - 1299) as r*l**3 + q + n*l + v*l**4 + w*l**2 and give v.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 3*m + 2. What are the prime factors of k(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2709)\/(-882) - (-2)\/21)\/((-1)\/(-12))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114156.74 - 114146.440091. Let f = -250 + 260.3. Let b = f - h. Round b to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 198*x**3 - 204*x**2 + 400*x.\nAnswer: 2*x*(x - 100)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*x - 5 - 23, 0 = 3*z - 2*x - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1181 + -5?\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 96. Let n = 0 - 21. Let r = n + f. What is the lowest common multiple of 12 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 + 42. Suppose -p - 57 = -7*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(33)*1 + sqrt(1188)*2)\/(1*2*2*sqrt(11)) + 5.\nAnswer: 11*sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 - 4*t + 7. Let a be x(-5). Let y be (-11 - -6) + (-10 - -6)*-2. What are the prime factors of (-50)\/((-8)\/y - (a + -4))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((sqrt(128)*1 + 3 + 5 - (-2 + (0 + sqrt(128))*-6)) + 4)**2*-4.\nAnswer: -129364 - 31360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/i)\/i)\/(i**10\/i)*(i*i*i**2)**(-4\/5) assuming i is positive.\nAnswer: i**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/45 (b) -0.08 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2211215203 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 - 3*s**2 - 5*s + 19. Let c(x) = -x**3 + x**2 + x + 1. Let n(p) = -6*c(p) + k(p). Let z be n(10). Solve z*g = -6 - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a hour in minutes?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7563365.\nAnswer: 5, 53, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (11 - 13) - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b5 + -4?\nAnswer: -9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(130)\/(sqrt(40)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 1, p: 1, m: 2, l: 1, r: 2}. What is prob of sequence cllm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14175)\/(-42))\/(-45))\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100 - (11 - 7)) + (-880)\/120*3\/2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(11))**2 + ((-3*sqrt(99))\/sqrt(9))**2 - (((sqrt(484)*2)\/sqrt(11))\/(sqrt(36)\/sqrt(81)))**2.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.735632 - 11.9301. Round v to 3 decimal places.\nAnswer: -0.194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4) + (0 - 4) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:31 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, 0.2, 0.064, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 6*p + 0*p + (2*p + 2 - 2)*(-2 - 2 + 2) + 3*p + 2*p - 7*p - 4*p + 2*p - 7*p in the form x + n*p and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*n**3 - 12 + 3111*n**2 - 3113*n**2 to the form o + p*n + f*n**2 + r*n**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8026 is divided by 2006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 - 5*o**2 - 2. Suppose 0 = 39*d - 48*d + 45. Let s(i) = -5*i**3 + 6*i**2 + 3. Give d*s(a) + 6*b(a).\nAnswer: -a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:05 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in -4, -3, 0.00203?\nAnswer: 0.00203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1029322736249 less than 0.1?\nAnswer: -0.0029322736249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-2)\/(-10)). Let f = -87 - -82. Let o = n - f. Solve -2*y + 23 = -5*t, -o*y = y + 2*t + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - l - 4. Let u be k(2). Suppose -5*r - 287 = u*r. Let h = -23 - r. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 470*(-2 - 5\/(-2)). Suppose 285 = -5*t - 5*o, -5*t = -8*o + 3*o + w. Let g be (-4)\/14 - t\/(-14). Is -4 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 5*n**2 - 2*n - 1. Let h(p) = -2*p**3 - 12*p**2 - 4*p - 2. What is 3*h(s) - 7*w(s)?\nAnswer: s**3 - s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -733.70301 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183467018 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + (-89)\/((-3916)\/2024).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24590 by -5.\nAnswer: 4918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 13*n - 18. What is l(-12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -3*c**3\/2 + 21*c**2 - 17*c. Let t be p(5). Let d(k) = -10*k**3 + k**2 - k + 3. What is the hundreds digit of d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 + 14 + (34 - 41)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 37 (b) -0.2 (c) -1\/3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*(sqrt(77) - (1*(sqrt(77) - 1*sqrt(77)) + sqrt(77)) - sqrt(77)))\/((sqrt(275)*2 - sqrt(11))*-2))**2.\nAnswer: -14\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9690 and 901170?\nAnswer: 901170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1040+1\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 7 - (-21 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876\/700*5*-2*(-30)\/(-12)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 62242830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*z + 13. Suppose 0 = -z*h + 1047263 + 272737. Round h to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 5*-2*sqrt(5))*3)**2 + (0 + (sqrt(80) - (sqrt(80)*-1 - sqrt(80))))**2*5.\nAnswer: -900*sqrt(5) + 8325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6672597 times 0.2?\nAnswer: -1.73345194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:04 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8*y - 7. Let g be d(-6). Suppose -4*i + 2*l + 22 = 0, 28 = 4*i - 5*l - 9. Suppose -h = -1 + i. Put g, h, -5 in ascending order.\nAnswer: -5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 5*m**2 - 10*m + 6. Give b(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/31 + 7\/248. What is the second smallest value in u, 1, -0.07?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/16 and 3\/81097904?\nAnswer: 81097904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34546?\nAnswer: 2, 23, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/7)*d)\/d)**(1\/7)*((d*d**(1\/4)*d)\/d)**(-2\/19))**(-1\/20) assuming d is positive.\nAnswer: d**(11\/7448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -673760.253 rounded to the nearest 100?\nAnswer: -673800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228569 + 228572. Determine f, given that 56\/9 + 124\/9*f**i + 32\/9*f - 74\/3*f**2 + 10\/9*f**4 = 0.\nAnswer: -14, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*d - 4098 = 702. Let y = -1 + 1.5. What is the third biggest value in -4, -0.1, d, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-482*v - 51*v**2 + 482*v)*(1 + 6 + 6) to the form a*v + y + c*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsneexvxneqvevq. Give prob of sequence ee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y - 1. Let u be f(-2). Let z(n) = 23*n**2 + 9*n - 12. Let s(v) = 10*v**2 + 5*v - 5. Let m(c) = -7*s(c) + 3*z(c). Give m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*f + 1520 = 351*f - 744*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-18) - 0\/(-1). Let y be 4\/(-6)*(1\/(1\/(-3)) - 92916\/(-33553)). Let w be (-2)\/(-1 - 1) - 1. What is the biggest value in j, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 24*c - 8*c - 276 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3599, -14482, -32651, -58112, -90871, -130934?\nAnswer: -178307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 6*l**2 + 3*l - 6. Let b(v) = -2*v**3 + 5*v**2 + 4*v - 7. Suppose -44*j - 93 - 39 = 0. Let g(f) = j*r(f) + 2*b(f). Give g(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*30\/36 + -3)\/((-2)\/(-8)). Let j(q) = -3*q**2 - 2*q - 2. Let s(i) = i + 1. Let x be (-18)\/135 + (-13)\/15. Calculate m*s(t) + x*j(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.05 (c) -0.127731 (d) -1\/4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0, 2\/15, 10035, -4, 0.93?\nAnswer: 10035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t - 1620*t**3 + 3*t - 96 - 177*t**2 - 174*t**2 + 351*t**2 wrt t.\nAnswer: -9720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-3) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s + 120 = -93*s. Let t(q) = -q**3 - 15*q**2 + 41*q - 38. What are the prime factors of t(s)?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 146, -0.1, 4, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -28 - (230 + (-78 - 171)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/10)*p**(1\/20)*p**(-8)*p**(-11)\/p assuming p is positive.\nAnswer: p**(-393\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (3 + 7) - (-170 + 154)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ffvfffffvff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g = 52*g + 30. Suppose g*r = 20, -5*d = -0*d + 5*r - 40. Solve w - 25 = -d*b, w + 10 = b + 2*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1773 and 19700.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -74.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92114 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.1 (c) 10 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 9*m + 10 - 2*m + 2*m. Suppose -2*g - 4*b - 4 - 4 = 0, 3*g = 5*b - 34. Let f be i(g). Solve -5*q = -3*w + 25, -w - w = -4*q - f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1 (b) 5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/126 and (0 + (-5016)\/(-1120))\/18.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4858 - -4858. Let l be (-4)\/(-6) - 14\/3. Let i = l - -2. What is the biggest value in i, p, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n)**(-48)\/(n\/(n**16*n)*n**(-17)*n) assuming n is positive.\nAnswer: n**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 120\/(-876)*1\/2. Is -2 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1 + 0 + -1*(-2*sqrt(245) + sqrt(245)) + sqrt(245))**2.\nAnswer: -42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -770?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*p + 1151*p - 7683*p - 1441*p.\nAnswer: -7355*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -32*k - 26. Let m(h) = 6*h + 1652. Calculate x(m(g)).\nAnswer: -192*g - 52890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -279, -695, -1437, -2613, -4331, -6699?\nAnswer: -9825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 31*q**2 - 17*q - 291. Is b(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -62903215?\nAnswer: 50322572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 3 = -3*f. Let t(j) = -7*j**3 - 3*j**2 + 2*j - 11. Let x(p) = 3*p**3 + 2*p**2 - p + 5. Let l(d) = -4*t(d) - 9*x(d). Calculate l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 100. Let s = o + -163\/2. Which is the second biggest value? (a) 3 (b) s (c) -2\/9 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**14*x\/(x\/x**(-1\/20))*(x\/((x\/x**(-2\/19))\/x))\/(x**(1\/6)*x) assuming x is positive.\nAnswer: x**(-15187\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 - 4847704*a**2\/3 - 12927296*a.\nAnswer: 4*a*(a - 1211934)*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35855000 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 4, r: 2, m: 2, k: 1}. What is prob of sequence nmk?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 265fdd?\nAnswer: 265fda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 75. Let t = -17 - d. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/(-17)*-2*(-12)\/(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j - 123 + 123 + 14*j - 27*j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324384687 by 143979.\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 558.83 + -562. Let o = u - -3.1699867. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -24. Let y be 1\/k + (-56)\/(-170). Let n = 197\/340 - y. What is the common denominator of n and 5\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 423, 449, 467?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q + 158*q - 3*z = 77*q + 14, 0 = -4*q + 2*z + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q - 7. Let s be j(5). Suppose 0 = -s*m + 3*m + 2*x + 341, 5*m = -2*x + 329. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.715 - -0.815. Which is the closest to x? (a) 0 (b) 3 (c) 3\/4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*17\/((-35343)\/33).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243 = -16*p - 1163 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2 + 4\/2. Suppose -2*k - k + 6 = p. Suppose -k*n + 2 + 24 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 + v**5)*(-64 - 10 + 11) + 49*v**5 + 67*v**5 - 24*v**5.\nAnswer: 29*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 986393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (492\/(-84))\/((-1)\/7). Suppose 0 = -26*y + x + 11. Calculate the highest common factor of 20 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = 6*s. Solve s = -h - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835050 divided by -5?\nAnswer: 567010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1832010, -3664009, -5496006, -7328001, -9159994?\n\"Answer: k**2 - 1832002*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 15 + 49*g + 14)*(-3*g**2 - 2*g + 2*g)*(-3 + 1 + 0) in the form t + z*g**2 + a*g**3 + f*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 6) + 8 - 4. Let h = -1703 - -90262\/53. Is z bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*v. Suppose v = c - 0 - 8. What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r + 939 + 49 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 12 = -b. Let y be b + 5 - (-1 + -1). Let k be ((-2)\/y)\/((-1)\/15). Solve -k*j + j - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(22)\/sqrt(2) + sqrt(275) + -2)**2 + -2 + sqrt(539) + sqrt(44)\/sqrt(4)*-1)*-5.\nAnswer: -2015 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {c: 1, l: 1, f: 1, v: 2, t: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3*j + 17, 2 = -4*v + 5*j - 7*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 12971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17560 and 105761246.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5412642 (base 8) in base 10?\nAnswer: -1447330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 9*v**2 - 13*v - 32. Let a = 117 + -127. Let z be r(a). Let h be (-6 - -4) + 4 + (-1 - z). Sort -5, 17, 1, h.\nAnswer: -5, 1, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*q**3 - 213*g**2*q**2*s - g*q**3*s**2 - 27*g*q - 10*q**2 wrt s.\nAnswer: -213*g**2*q**2 - 2*g*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 17 = 2*v - 60, 4*o - 4 = -v. Solve 4*u - 21 = 3*g + 7, -g + 5*u - v = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -22*l**2 + 20*l - 4. Determine z(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4487348.\nAnswer: 2, 1121837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 434779?\nAnswer: 9\/434779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, 3\/5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 187 = 20*i + 77 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:34 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 26 = -26. Suppose -5*z + 670 = -v*u + 93, 0 = 5*z - 2*u - 571. Calculate the remainder when z is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1791579*z + 19707368. Determine f(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - -5 - (107 - (111 + -54 + 7)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -489d0 (base 14) in base 2?\nAnswer: -101011010110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 186*(-1)\/(-4)*6. Find the common denominator of h\/(-10)*(-2)\/12 and -111\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 6.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 5. What is f(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042301317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:20 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.86 - 0.14. Which is the biggest value? (a) 3 (b) k (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) -6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:33 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 6. Suppose -s - 2*s - 17 = -5*w, 11 = -3*s - w. Calculate the remainder when 41 is divided by -2*r\/s - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 77*i**2 + 10921*i - 9. Let f(j) = -34*j**2 - 5461*j + 4. Determine -9*f(z) - 4*p(z).\nAnswer: -2*z**2 + 5465*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 232, 435, 628, 805, 960, 1087, 1180?\n\"Answer: -b**3 + b**2 + 207*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -5, -144, 1, 0 in ascending order.\nAnswer: -144, -5, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 135*i**3 + 1137*i**2 + 8775*i + 7500 = 0. Calculate i.\nAnswer: -4, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -0.14. Let n = -8 + 12. Sort -1, n, i in ascending order.\nAnswer: -1, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 5*h + 2*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -572 + 4577\/8. Suppose -8 - 12 = -4*n. Suppose -5*g + 15 = -5*i, -g + n = 4. Sort k, i, -3.\nAnswer: -3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 89. Let p = s - 31. Suppose -2*i + 1 = k, 3*k + 4*i - 2 = -i. Sort k, p, 4 in descending order.\nAnswer: 4, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*s + 3039 - 7179 = 0 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**2 + 6*t**3 + 5*t**2 - 4*t**2 wrt t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, o: 1, p: 4, l: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/5 + 122*v\/5 + 248\/5 = 0. What is v?\nAnswer: -2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -5*r, 8*r - 3 = -a + 3*r. Solve -a*z = 10 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*o = 58, -4*o - 76 = -5*n - 3. Let x(j) = -15*j**3 + 13*j - 4. Let r(c) = -7*c**3 + 6*c - 2. What is n*r(s) - 6*x(s)?\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -0.0893614?\nAnswer: -0.002680842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -5 - 4)*-5. Let r be -65*(4 + (-66)\/v). Let h = r + 131. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-30) - (-7848)\/15. Let b = k - 420. Calculate the highest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 243067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 38. Suppose 3*k = w - n*w - 4, 3*w - 8 = k. Which is greater: w or 28\/9?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 798 and -0.6?\nAnswer: -478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-16))\/((-9030)\/84280))\/((-14)\/48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 7 - (1 + 0)) + 4 + 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*o - o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, 1\/40, 4.\nAnswer: -6, 1\/40, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 4, q: 3, s: 2, n: 2}. Give prob of sequence sasf.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -9. Let n be r\/3 - 4\/(-6). Suppose -z = -5*z + 16. Solve -n = z*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470*(-4)\/(-8)*3\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 + -200. What is the remainder when 89 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**6 - 158*z**4 + 97970*z**3 + 35230629*z**2 wrt z?\nAnswer: 120*z**3 - 3792*z + 587820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13181714*i**4 - 231*i**2 - 13147*i + 8 wrt i?\nAnswer: 316361136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 18 = -2*s + g, -g - 30 = -4*s. Let d = -9 + s. Put -1, 2, d in increasing order.\nAnswer: d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:42 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-12)\/5)*18. Suppose 72 = 7*r - 3*r - 3*y, -2*r + 3*y = -x. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 n when four letters picked without replacement from cccncccccn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004923758 to five decimal places.\nAnswer: 0.00492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + -1 + -2)) + 5*(2*sqrt(112) - sqrt(112)) - sqrt(112)*-3*2*-4)**2.\nAnswer: -456*sqrt(7) + 40441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1944443830202 + -0.02.\nAnswer: -1944443830202.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -50. Let n(p) = -p**2 - 6*p - 4. Let i be n(-4). Suppose 0 = o + a - 6, 2*a = 7*a - 25. Solve -3*c = o - i, 4*c - m = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -1) + -2 + 3. Let z = 0 - 3. Let p = 49 + -45. What is the biggest value in o, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*1 + 3)**2 + 3 - (2*sqrt(128)*3 + sqrt(128) + 2*(sqrt(128) - (-1 + sqrt(128))))**2.\nAnswer: -6192 - 188*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 9*j**2 - 4. Let v be t(-9). Are v and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 33*k. Let f(u) be the first derivative of 0*u**2 + 0*u + 5\/3*u**3 - 98. Calculate f(d(i)).\nAnswer: 5445*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7740.20014 to 1 decimal place.\nAnswer: 7740.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 743\/436 + -317\/218. Let p be 2*-1*(-1)\/3. What is the third biggest value in p, a, 3, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - 39\/4. Let x = k + 24. Suppose 4*n - 171 = -4*g + 3*g, -5*n + 5*g + 195 = 0. What is the greatest common factor of x and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -305 + 309. Suppose 2 = 2*y - i, -3*y + 4092 = 3*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 0) + -2*1. Let w be q\/(-2)*(-3)\/6. Let g be w\/(-8) + 21\/36. Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 123?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 20*y**2 - 19*y + 98. Calculate d(19).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2022111022 (base 3) to base 8\nAnswer: 130765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-84))\/(112\/80 + 885\/(-650))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1898*p - 2105 = 271*p + 9270 + 5977 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279188822.\nAnswer: 2, 11, 12690401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 18*c + 26. Let s be v(-16). Let h(l) = l**3 + 6*l**2 + l + 2. What is h(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.447319 micrograms?\nAnswer: 7447.319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 42.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*j**5 + 615*j - 615*j + (-4*j**4 + 0*j**4 + 2*j**4)*(-j + 4*j - j).\nAnswer: 66*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -85*c**2 - 5*c + 12. Let r(h) = h**2 - h + 2. Let p(a) = -6*r(a) + w(a). Let u(d) = -2*d. Determine u(p(b)).\nAnswer: 182*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*u - 16, -30*u - 138 = -22*k + 42*k - 23*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -8, 3\/2.\nAnswer: -8, 3\/2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) -4\/5 (c) -500\/9 (d) -4 (e) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z*(z*(z*z*z**(-1\/5)\/z*z)\/z*z)\/z assuming z is positive.\nAnswer: z**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9581 + -9580.91. Is d at most 350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719 divided by 191?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, -1, -5 in descending order.\nAnswer: 3, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r + 3*r. Suppose 0 = -n + r*n - 48. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/10 - 224*t**2\/5 + 2219*t\/10 - 886\/5 = 0.\nAnswer: 1, 4, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c**(2\/7))\/((c**16\/c)\/c**(2\/21)) assuming c is positive.\nAnswer: c**(-151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3 - 3)*(3 + 0 - 5) + 3 - 3 - 4*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 173*w**3 + 30949*w**2\/2 - 88230*w + 130050.\nAnswer: (w - 170)**2*(w - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*f + 15*f - 170 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5272, -11291, -18076, -25627?\n\"Answer: -383*a**2 - 4870*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t**15\/t))\/t))**(-49) assuming t is positive.\nAnswer: t**(-735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16369 + 18191. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5452794 is divided by 3368.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 79. Let o be 1\/4 - q\/8. Let j = 181647\/4 + -45412. Which is the second smallest value? (a) j (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357213 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-10 + 6 + -4). Let v(l) be the second derivative of f*l + 0*l**2 - 1\/6*l**4 + 0*l**3 + 0. Let b(m) = m. What is b(v(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -2. Let x be 6\/d - (-2)\/(-5). Let t be -2*(10\/12 - 1). Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 1. Suppose -2*y + 3*w = -4, 2*y - w - 3*w = 2. Suppose 2*b + 1 = y. Calculate the least common multiple of p(-4) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 81?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3815771 greater than -3815772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-19)\/((-285)\/(-14184)))\/(3\/(-30)). What is the highest common factor of x and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*66 - -1*(5 + -3). Let y = -383 - s. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**3 + 2*g**2 + 8*g - 29. What is the hundreds digit of b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:38 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -147*m**2 + 236*m + 4. Let n(w) = w**2 + w + 1. Let f = -108 - -107. Let j(h) = f*k(h) + 4*n(h). What is the second derivative of j(z) wrt z?\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-6)*k*k\/(k\/k**(-1))*k*(k\/(k\/(k*k**(-2\/21)\/k)))\/k**(-1) assuming k is positive.\nAnswer: k**(187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -260, -83, 94, 271?\n\"Answer: 177*y - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -7)*12\/(-14). Suppose u*x = 4*x + 1502. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/11 (b) 2 (c) -15 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 350?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 18*c + 38. Let u = -4 + 130. What is the smallest common multiple of u and t(-8)?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5442*p**2 - 111. Let s(j) = 27*j. What is s(z(w))?\nAnswer: -146934*w**2 - 2997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 190*t + 8953. Let m be u(-86). Let b = -4 - -7. Solve -b*o = -4*o - m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.583 and 0.022874931.\nAnswer: -3.560125069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 0.9?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8171 + 8175. Let l(q) be the second derivative of -1\/2*q**2 + 21*q + 0 - 7\/80*q**5 - 5\/6*q**3 - 23\/48*q**r. Solve l(j) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5, -2\/11, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -125.6. Let k = -10 + y. Let z = -1.4 - k. Which is the biggest value? (a) z (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.077 times -52039\nAnswer: 4007.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 74 - (-31 + -3 + 3 + 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -768, -772, -776, -780, -784, -788?\n\"Answer: -4*s - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p + 4500 = 63*p. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1243 by 113.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64631893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 5*r + 126. Let m be x(0). Suppose 0*d = 7*d - m. Which is smaller: d or 19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-155)\/40)\/31)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 68*i**2 - 227*i - 10905. Give o(-69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.43 + 6370619.\nAnswer: 6370618.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20218 - -2?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002674 rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 59 + 1. Let s be (-4)\/(g\/7 + -2). Let m be (-42)\/s - (-1)\/2. Solve -19 = -3*u + 4*f, 1 + 7 = -m*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) + (-357)\/6. Let y = -31 - z. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13842426 and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 26. Suppose -4 = -m + 2*m, -2*h + 3*m = -4. Let i be g(h). Let l = i - -64. What is the greatest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22*n + 24. Let x be b(-1). Let c = 65 - 36. Let d = c - 25. Solve 3 = -g - 0*g - x*z, -4*z - 4 = d*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 1622*m**2\/7 - 3236*m\/7.\nAnswer: -2*m*(m + 2)*(m + 809)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -6 + -1 + 16 + -19 - 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**4 - 170*f - 682?\nAnswer: -8*f**3 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1 - 4. Let p(v) = -v**2 + 4*v + 4. Let x be p(w). Let u(c) = -121*c**3 + c**2 + c + 1. Is u(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -19*t**6\/60 - 11*t**3\/3 + 16*t**2 + 38. Let l(x) be the second derivative of a(x). What is the derivative of l(w) wrt w?\nAnswer: -114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f, -5*f + 8*f = 3*g + 27. Let s(i) = -2*i - 18 + i - i. Calculate the remainder when 13 is divided by s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Suppose 0 = 4*d + d - 165. Suppose 28*z = d*z - 11890. Let g(t) = -5*t**2 + z - 2378 - t. Determine g(l) - q(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from padduuduadf. Give prob of picking 1 a and 1 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -466303396*u**3 + 2*u**2 + 52*u - 882.\nAnswer: -2797820376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -847*l - 2. Let b(v) = -v + 1. Determine -2*b(u) - j(u).\nAnswer: 849*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 249.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/270*(-3)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*m = 5, 2509*m - 1 = 2508*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 45232492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 4:51 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 7*i + 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(77*n**3 - 243 - 2*n**2 + 243).\nAnswer: -231*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1969.291 to the nearest ten.\nAnswer: -1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 8\/(-7))*5\/10. What is the smallest value in 1, 5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = j - 53, 0 = j - 2*s - 50. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43356 + -4?\nAnswer: -4335a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 9*t + 11. Let d = -57 - -60. Let f(z) = -z**2 - 3*z + 4. Determine d*h(b) - 8*f(b).\nAnswer: 2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -23, -47, -87, -149, -239, -363, -527?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 870 divide 1974030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 8 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*p**4 + 6*p + 87*p**2 + 93*p**2 - 182*p**2 as g*p**2 + j*p**3 + w + l*p + f*p**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191490657 to the nearest integer?\nAnswer: 13838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763304?\nAnswer: 2, 3, 73471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*(792\/(-315))\/22.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5 - 127*a - 127*a + 262*a. Give d(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374660 < 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 2 + 13*p**4 - 2*p**3 - 10*p**4 + 0 as g*p**2 + f*p + j*p**3 + r + s*p**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/25 - ((-2)\/6)\/(95\/(-171))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 544 + -549. Sort -113, r, 2 in increasing order.\nAnswer: -113, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1452523 years?\nAnswer: 0.01452523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g + 24*g - 2*g**2 + g**3 - 73*g + 0*g**3 - 3*g**3 + 2*g**3 + (3 - 2*g - 3)*(-3*g**2 - g**2 + 2*g**2).\nAnswer: 4*g**3 - 2*g**2 - 37*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 645\/(-18) - 1\/6. Let r = w + 119. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 9249?\nAnswer: 46245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 28*k + 48. Calculate d(-25).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123090953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*z - 201, -3*z + 51 = 2*r - 71. Suppose 6*y + z = 14*y. Suppose -5*w - 25 = 3*g, -g = y*w - 3*w + 9. Put w, 5, 1 in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**4\/6 + v**3\/3 - 3*v**2\/2 + 485*v. Let p(t) = 6*t**2 - 7*t + 10. Give -7*f(k) - 2*p(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8012955 = -55*u + 82702955. What is u rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 0 + 121\/6*d**3 + 3750*d + 550*d**2 = 0.\nAnswer: -150\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from ieei.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*k = 8, -4 = x + 2*k - 3. Suppose 25 = 3*s - x. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 173343\/3465 - (-2)\/(-15). Let p = x - 356\/7. Calculate the common denominator of p and 103\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 10. Let s(r) = 5*r + 1. Let f be s(-1). Let v = f + -2. Let k be n(v). Solve y + 1 = 3*h - 4, 2*h + k*y - 22 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 26202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**2\/2 - 17*q - 8. Let c be m(15). Let w = c + 151. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11480)\/(-85) - 35\/595. Are l and 135 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3 (c) -0.4 (d) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 6*x + 8. Let f = -20 - -34. Suppose 2*a = -6 + f. Let d be b(a). Solve d = -5*y - 4*h + 20, 0 = y + 3*h + h - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3582 and 25671?\nAnswer: 154026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32006432 to 3 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(6) + sqrt(6)))\/sqrt(2))**2*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.97 - -1.03. Let j = 1.4 + -1. Let f = -10\/23 + 43\/46. Sort f, g, j, 1\/3 in descending order.\nAnswer: g, f, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 65. Let h be n - (-3 - -7 - -47). Let k be (-9)\/(-2)*h\/42. Let g(a) = a**3 + 5*a**2 - 3*a + 6. Give g(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543112838 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 160. Let l be (-3 + c\/16)*2. Find d, given that 0*d**2 + 1\/4*d + 0 - l*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34040937 to the power of 1\/2, to the nearest integer?\nAnswer: 5834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3951 times -4?\nAnswer: 15804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2. Suppose -3*u + 36 = -3*x, 0 = 5*u + d*x - 74. Let q = u - -14. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*z + 38 = -0*p, -5*p + 3*z - 54 = 0. Let y = p + 16. Suppose -2 = 2*j - 6. Solve 2*x - y*o = 6*x + 20, 5*x = -j*o - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2 - 295*k + 297. Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336443, 672770, 1009097?\nAnswer: 1345424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.028 + 2.972. What is the second biggest value in n, -56, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/15*(1565\/(-35) - -46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -8, 0 = -4*z - 4*k - 0*k. Suppose -2*p + s + 38 = 0, 3*s = -p + 3 + 2. Suppose -3*g + p = -4. Solve g = -2*m - z*y - 1, y = -2*m - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944646 is divided by 10496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:12 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-55)*(-4)\/6)\/((-909)\/9999)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5666 (base 9) to base 11\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 6. Let h be p(-15). Let m = h + -19. What is the remainder when 183 is divided by m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 81*v + 6555. Let o be x(-50). Solve -5*w - o*h + 13 = -2, -5*w - 3*h + 5 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2883 + -2766. What is the remainder when 1162 is divided by s?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 247060827.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1573534 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4397, -4344, -4291, -4238, -4185, -4132?\nAnswer: -4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.9545 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1364 + 1326. Let i(t) = -12*t + 11. Let d be i(4). Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-8)*(-1534)\/118*8\/14?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 27*l + 15*l**3 + 1 - 69*l wrt l?\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-21)*(-4)\/8. What is the nearest to 2 in w, -0.1, -123?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, 287, -2\/3, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:39 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 4, -60, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, -9, -14, -9?\n\"Answer: 5*m**2 - 30*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**3\/6 + 11*u**2\/2 + 31*u. Calculate the lowest common multiple of h(-9) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 527662991 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etn when three letters picked without replacement from nebtatdd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 393. Let u be ((-26)\/8)\/(5\/(-20)). Let i = v + u. Which is greater: 11\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 25*w - 442. Calculate p(11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30640 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - f = -2*y - 43, 0 = 3*y - 5*f + 17. Let o = 24 + y. What is the units digit of (-4)\/6 - (-235)\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -257?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:06 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * -19779637\nAnswer: -7714058.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-14)*(-2)\/(-12)*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/4)\/((h*h*h**(1\/4))\/h*h)*(h*h*h**(-3\/5)\/h)\/h**6 assuming h is positive.\nAnswer: h**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.048 and -0.66?\nAnswer: 0.03168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -63, -3, 3 in decreasing order.\nAnswer: 3, -1\/2, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/3)\/b)\/(b\/b**(-5))*b**(-13)*b\/(b*b**(-10)) assuming b is positive.\nAnswer: b**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6029\/16 in -0.2, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 18*j - 125. Let t be n(7). Let p(f) = 2*f**3 - f**2 + 4*f - 4. Let s be p(t). Solve -s = -3*g - a, 0 = a + 2 + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/5 + 11364*v\/5 - 11384.\nAnswer: 4*(v - 5)*(v + 2846)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 8285*r**2 - 124402600*r - 181742274000.\nAnswer: 5*(r - 6417)*(r + 2380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/15)\/((-3)\/30). Let i be p\/8*45\/(-2). Suppose 4*q + q = i. What is the lowest common multiple of 2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Suppose 16 = -2*v + 3*i, 0*i = -4*v - 2*i. Let m be (6\/(-24))\/(v\/4). Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -12, -3*b - 1 = 2*j + 13. What is the common denominator of 89\/10 and ((-190)\/12 + j)\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 4)*(-3*h + 8*h + 0*h) + (-1 + 6 - 9)*(2 - 2 - 9*h) as t + c*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s + 16. Let u(p) = 10*p + 12. Let c(g) = 3*l(g) - 4*u(g). Let z(x) = x**2 + 14*x. Calculate c(z(d)).\nAnswer: -d**2 - 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 421.37 - 902.5. What is o rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 4*t + 13. Give z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 4794764 and 4794766 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 312853 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: Let z(p) = 44*p**3 - 4*p**2 + 3*p - 2. What is the tens digit of z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-144)\/14*(-203)\/58. Solve 35*g - 2 = m*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*i = 73*i + 344. Let o(p) = 3*p**3 - 2*p**2 - p. Let m be o(-1). Let t be 22 - -2*(-2)\/m. Solve i*j - 3 = -t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t. Suppose 0*i + 288 = 8*i. Calculate the smallest common multiple of p(2) and -2 - (1\/(-4) - 567\/i).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/3)*d*d))\/d*d)**26*(d\/(d*((d*d**(-1))\/d)\/d))**(-1\/22) assuming d is positive.\nAnswer: d**(-1433\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3299, 6653, 10007, 13361, 16715?\n\"Answer: 3354*i - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.1, -1\/16, -0.5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-268)\/(-12)*3\/1. Suppose w = 3*w - u - j, 4*w + 2*u - 130 = 0. Let c = w + -22. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -16. Let w = 6.13 - 0.13. Let f = m - w. Is f at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -19\/6*s**3 + 2\/3*s**4 + 0 - 1\/4*s**5 + 0*s + 1\/120*s**6 - 94*s**2. Give i(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 3*y - 4. Suppose -2*d = 10, -4*d + 8 - 23 = t. Calculate the lowest common multiple of v(t) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8 - 20\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2203*b + 0 + 0 + 2205*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 267410.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*u + 358*u - 826*u - 71*u - 30*u to the form t + d*u and give d.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3717336 (base 8) to base 11.\nAnswer: 63a146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 - 3*u - 4. Let g be v(3). Let j be 2\/(-8) - 9\/g. Suppose 3*d - j*d - 3 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2, 30, 1\/5 in ascending order.\nAnswer: -0.06, 1\/5, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -1901464780.0599?\nAnswer: 1901464792.0599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 170*m - 153*m + 29. What is the closest to -0.1 in -4, m, -0.13, 0.07?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -35)*(1 - (-6)\/(-5))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 5. Let j(x) = 5*x**2 - 3*x + 10. Let m be j(5). Let d = -111 + m. Give k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 38*q + 24*q. Let l(k) be the second derivative of 13*k + 0 + 7\/24*k**q + 1\/2*k**2 + 3\/4*k**3. What is o in l(o) = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 53. Solve -3*n - 5*p + s = 0, 4*p = -n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + t + 11, -7*t - 13 = m - 2*t. Let z(x) = -x**2 + 6*x + 7. Determine z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 9*m**2\/2 + 6*m + 3. Let a(g) = g + 1. Let t(f) = -6*a(f) + y(f). Let o(n) = -2*n. Give t(o(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 445\/11 - 5087\/132. What is the common denominator of u and -20\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let d(f) = 182*f - 364*f + 181*f. Let r(m) = 5*d(m) + 6*t(m). Let b(i) = -16*i - 4. Give r(b(a)).\nAnswer: -16*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/5 and 53\/13981467.\nAnswer: 69907335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**3 + 2*c**2 + 13*c - 2. Let m(w) = 40*w**3 + 7*w**2 + 44*w - 8. Let l(y) = -2*m(y) + 7*n(y). Calculate l(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40327 + -6?\nAnswer: 40321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.599975 - 2.6. What is x rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*t - 14, -2*t - 3*t + v = -22. Let m be (-6)\/3 + (t - 4). What is the smallest common multiple of (-2)\/m + (-100)\/(-5) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 16*r + 5157 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52, -239, -624, -1267, -2228, -3567, -5344, -7619?\n\"Answer: -10*y**3 - 39*y**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/22551098 and 113\/12.\nAnswer: 135306588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 374186864 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -18 (c) -7 (d) -12 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-15)\/(-6)))\/((-14)\/28)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 13.81001.\nAnswer: -27.62002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -186354999?\nAnswer: -186354993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921215488?\nAnswer: 2, 43, 41843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/72375 - 221107\/144098625. Let s = q + 276785\/23892. Find the common denominator of s and 111\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -286 - -72. Let i = s - -211. Put 4\/9, i, 5 in descending order.\nAnswer: 5, 4\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (409\/2454)\/(7\/18)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*t**2\/2 - 1803*t - 240.\nAnswer: -3*(t + 80)*(15*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530572649?\nAnswer: 3, 251, 2032633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 9. Give l(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13663710461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*z**4 - 101*z**3 + 3*z**2 + 86406?\nAnswer: 244*z**3 - 303*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28341?\nAnswer: 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from ppddpupdpbppbbdju?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 60*t**2 + 59*t - 114. Determine r(-31).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3719*q**2 + 33477*q - 28. What is k(-9)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oacoaahaoc. What is prob of sequence ao?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5644 or 5326?\nAnswer: 5326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.1692 decades to years.\nAnswer: 4471.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511355710?\nAnswer: 2, 3, 5, 53, 1579469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -158. Let r = 30 - 60. What is the remainder when -2*(-1 + 2) - r is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*s + 7*s. Suppose -s*m + 9 = -24. Calculate the lowest common multiple of 15 and m.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjijijjiij. What is prob of sequence ji?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19422 - -45647. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-10 - -7 - -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, h: 13}. Give prob of sequence hhh.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**7\/2520 + z**5\/360 - 2*z**3\/3 - z. Let i(s) be the second derivative of c(s). Factor i(o).\nAnswer: -o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, -188, -268, -326, -356, -352?\n\"Answer: f**3 + 2*f**2 - 109*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -25*m + 1985. What is the smallest common multiple of 1586 and f(79)?\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.48 - 0.18. Let w = a + -0.2. What is the third smallest value in w, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*f - 456*f + 230760 = 0. What are the prime factors of f?\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*a + 7 = 0, 0*c - c + 16 = 4*a. Is c at least as big as -11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5916 and 10353.\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19318 + -19358. Which is the third biggest value? (a) l (b) 24 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5024, 4, 3 in increasing order.\nAnswer: 3, 4, 5024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uruzyjdy. What is prob of sequence yr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by ((-24)\/10)\/((-3)\/(135\/18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265122 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 3*f. Let t(h) = h**3 - 3*h**2 - h + 4. Let r be t(3). What is the units digit of 4*(2 - r) + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17910, -35830, -53750, -71670?\nAnswer: -89590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4*-0.3.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*b - 3 - 18 = 0, -5*b - 25 = 0. Let q(c) be the first derivative of c**2\/2 + 1. Let m be q(0). Sort 5, m, o in increasing order.\nAnswer: o, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2. Determine m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7548*y**2 - 384*y**3 - 689 + 7548*y**2 - 55*y**3 wrt y?\nAnswer: -1317*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -48. Suppose -h + 19 = -y. Calculate the remainder when 5 is divided by (h + -21)*4\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 88, 3, 5, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5118?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52, 250, 808, 1912, 3748, 6502, 10360, 15508?\n\"Answer: 31*k**3 - 6*k**2 - k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 2:40 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 448*v**2.\nAnswer: 448*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**3 - 4*m**3 + 53 + 4*m - m**3 - 2*m - 62 as b*m + x + u*m**2 + z*m**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 12*t + 7. Let z = 34 - 21. Suppose -77 = -g - 0*g. What is the remainder when g is divided by l(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = -53 + 53. What is the closest to -2\/57 in -5, -2\/9, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1206 - 2068*z + 402 + 401 - 1011*z + 402 as l*z + n and give l.\nAnswer: -3079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1268, 2572, 3876?\nAnswer: 5180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 32?\nAnswer: -33\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and 61\/1445?\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:35 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/55 and 36\/21185?\nAnswer: 233035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 16. Let m be (-1)\/(-8)*6 + p. Let u = 8 - 5. Which is the closest to -0.1? (a) m (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61615 and 650.\nAnswer: 8009950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 14) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -16) + 2 + 21 - -38.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 9945?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 2100 = -27*j - 83*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 445*q + 445*q + 9*q**2.\nAnswer: 9*q**2 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -138*g**3 - 955*g**2 + 77*g - 8. What is c(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109018927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(612) + 2)*3*-5 - 1*-4*(((3 + sqrt(612) + 3)**2 - sqrt(612)) + sqrt(612)).\nAnswer: 468*sqrt(17) + 2652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 7, 12, 3 in ascending order.\nAnswer: -7, -3, 3, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6480, -6485, -6468, -6417, -6320, -6165, -5940, -5633?\nAnswer: -5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 16*q = 6*m + 15, -4*q + m + 2 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28*8\/(-12))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/120 - z**5\/10 - z**4\/12 + 4*z**3\/3 - 46*z**2. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 35) + (1 - (-2 + -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x**2 - 20*x + 10. Let u(v) = -9*v**2 - 19*v + 8. Let z(w) = 4*c(w) - 5*u(w). Factor z(d).\nAnswer: 5*d*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105 and -0.7.\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 9. Suppose 7*f - 2*f = 545. Suppose -5*k - 25 = a*w - 78, -f = -4*w + k. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1535, -0.5, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 64722120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-10))\/(u**(-3\/13)*u))\/(u**(-9)\/((u\/u**(-3))\/u)))**(7\/4) assuming u is positive.\nAnswer: u**(2023\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*w**2 - 23*w + 23*w + 97*w**2 to the form i*w**2 + j + m*w and give i.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38887.312 - 74777?\nAnswer: -35889.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 14 = 2*o, -17 = -2*o + 11*b - 8*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0\/(-2))\/(-1). Let r be 4*-6*2\/(-16). Let v be 111\/9 + (-1)\/r. What is the greatest common factor of v and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3198\/2665*(-10)\/(-14)*(42\/927)\/2.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000062869 rounded to 6 decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.00965, -50, 2, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -8, 5*y + 2*d = -2*d + 151. Let q = 15 - y. Which is bigger: q or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 10*j - 1. Let d(b) = -6*b**2 + 29*b + 2. Let k(i) = -133*i + 7312. Let z be k(55). Give z*d(r) - 8*c(r).\nAnswer: 2*r**2 - 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-9)*-7 - (-30)\/(-270)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 6*l**2 + 6*l + 17. Calculate the smallest common multiple of 10 and p(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(2 + (-9)\/3). Let c(b) be the second derivative of b**4\/12 + b**3\/2 + 2*b. Let q be c(d). Solve 4*l - 2*z = -14, 4*l + q*z + 12 = 4*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*v = 15966. Is v*13\/26*2\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 + 21 - 5*h**2 - 9.\nAnswer: -5*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4570, -34305, -115014, -272185, -531306, -917865, -1457350, -2175249?\nAnswer: -3097050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*l**2 - 88 + 88 + 69*l**2.\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741926939?\nAnswer: 13, 23, 41, 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - -0.34. Which is the closest to -0.1? (a) r (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -22, 169, 438, 785?\n\"Answer: 39*k**2 - 4*k - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5024 and 27318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 190*q**2. Let o(d) = -657*d + 587*d + 85*d. Determine o(t(k)).\nAnswer: 2850*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92, 339, 742, 1301, 2016, 2887?\n\"Answer: 78*l**2 + 13*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003465071967 rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39542\/561849 - 2\/9857. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227112*m - 113602*m - 2*m**3 - 113510*m + 50*m**2.\nAnswer: -2*m**3 + 50*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 48. Calculate the remainder when (4278\/(-124))\/((-2)\/4) is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 - i**4\/8 - i**3\/3 + 4*i**2 - 1. What is b(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001000010111 (base 2) in base 13?\nAnswer: -b578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighty-seven fifths of a microsecond?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 168*q**2 + 52*q + 87. Is p(84) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 926*l - 4602. Let r be n(-5). Solve r*z - 5*a - 30 = 0, -5*a = 11*z - 16*z + 30 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 5*n**3 - 6*n**3 in the form f*n + h*n**2 + g*n**3 + b and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -4 - (-106)\/36. Let q = r - -5\/18. Factor q*s**2 + 4\/9 + 2\/3*s.\nAnswer: 2*(s + 1)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - 0) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.156573 to two dps.\nAnswer: -31.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k + 3*r = -236, -4*r = 16. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*0\/(-1)*-1. Let l = -4\/97 + -376\/291. Is l greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2 - 24\/6. Let s = 1651 - 21475\/13. Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936513?\nAnswer: 3, 17, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64*72\/11520*(313\/2 + 1).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245 + -245.2. Which is the smallest value? (a) g (b) 8\/5 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5881755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Put -2\/21, s, -0.1, -0.5 in decreasing order.\nAnswer: -2\/21, -0.1, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8463, -8060, -6947, -4764, -1151, 4252, 11805?\n\"Answer: 60*b**3 - 5*b**2 - 2*b - 8516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14714.504916 + 52540.69506. Let l = -67256 + b. Let c = l - -0.8. What is c rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1023, -1012, -993, -966, -931?\n\"Answer: 4*f**2 - f - 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/9 - 3736*x**4\/9 - 4584*x**3 - 153956*x**2\/9 - 229178*x\/9 - 37580\/3 = 0. Calculate x.\nAnswer: -5, -3, -2, -1, 1879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 677336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1159988, -1159987, -1159986, -1159985, -1159984?\nAnswer: -1159983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -573 - -594. Solve 6*w + 10 = 5*o, -w - p = 4*w - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 21528 = -2*d, 3*d - 982*b + 987*b - 32292 = 0. Does 36 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1495265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -104*a - 2884 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(66*s**2 - 140*s**2 - 174*s**2)*((2*s**3 + 0*s**3 - s**3)*(3 + 1 - 6) + 2*s**2 + s**3 - 2*s**2).\nAnswer: -496*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7318 times 0.5\nAnswer: 3659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 7*c - 5. Let r be n(-6). Let o = -6 - r. Suppose -5*p + 0*p = -o*j - 15, -5*j = -2*p + 9. Solve p*t + 2*t = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5902690 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 164*x**2 - 8800*x + 363968.\nAnswer: 4*(x - 44)**2*(x + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 + 13*u**2 - 13*u - 13. Let s(j) = -j**3 - 3*j**2 + 3*j + 3. Calculate 26*s(q) + 6*w(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-1564)*((-16)\/(-3))\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4 - (-54)\/(-14))*(-867 + 883)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122\/3 + 967\/24. Which is the biggest value? (a) 5 (b) x (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 42 = 0, 5*g - 22*g - 5*g = -0*g + o - 60 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 9*u - 16. Let b(v) = v**3 - 51*v**2 + 650*v - 12. Let d be b(25). Determine f(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**3 - 3*w**2 + 17*w + 20. Let j(o) = 4*o**3 - o**2 + 6*o + 7. Let n(r) = 17*j(r) - 6*s(r). What is n(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/sqrt(9)*6)\/(sqrt(3) - -5*sqrt(243)).\nAnswer: 3*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.5, 6, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10\/9)*i\/i**35)**34 assuming i is positive.\nAnswer: i**(-10744\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 199*u**2 + 98*u - 115. Give l(-99).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 243 or 231?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -32\/7 (b) -4 (c) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f + 3. Let p be q(0). Solve 2*i + p*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -824*w + 27228. Calculate f(33).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/7)\/(-8) - 12\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 75*l**2 - 357*l - 245. Give m(-70).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 7508*z**2 + 84431796*z - 216723579300 = 0. What is z?\nAnswer: -4825, 3351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3 - 1. Is 24 - t\/((-2)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 13*y**2 - 9*y - 22. Let r be m(12). Solve -r = 2*w - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 - -14 - 1. Suppose -5*x = -9 - n. Factor 6*i**2 - i + i**x - 6*i**3 - i + i**4.\nAnswer: 2*i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 216*r - 220 = 0. What is r?\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 172\/20 + 1 - 6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 21*z - 20*z)*(-2*z + 0 + 0)*(0*z + 2*z - z).\nAnswer: 78*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*v - 2*v. Let u(w) = 12*w + 2. Let m(k) = 6*k + 1. Let b(p) = v*m(p) - 3*u(p). List the prime factors of b(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1842*o**3 - 4*o**2 + 2*o - 1865. Let m(q) = -1841*q**3 + 6*q**2 - 3*q + 1867. Let f(t) = 2*m(t) + 3*n(t). Differentiate f(b) wrt b.\nAnswer: 5532*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2767 * -10\nAnswer: 27670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87590*o**2 + 144295*o**2 + 89560*o**2.\nAnswer: 321445*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -39, -68, -101?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 35 = 56*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -6, -10 in decreasing order.\nAnswer: 0, -2, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 0.5, -4, 18, 1\/402?\nAnswer: 1\/402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17413, -6402, -2.\nAnswer: -17413, -6402, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1693 + 1.1693. What is the nearest to 0.1 in -1.4, 2, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/2020 and -33\/404.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24574 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 - 11 = 0. Solve -3*x - 5 = s*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110653 = 14*o + 8887. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*s - 109, 4*s + 2*n + n = 213. Suppose -2*u - s = u. Let v = u + 47. Solve 5*g - 4 = -v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264740 (base 10) to base 3.\nAnswer: -111110011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22505343.29 - 3\nAnswer: -22505346.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d - 79 - 42 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74471338592 + 0.68?\nAnswer: 74471338592.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9070 - -804.03\nAnswer: 9874.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 126?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89795305 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 426?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8231\/24 - -343. Let p(v) be the second derivative of 0*v**2 + r*v**4 + 0 - 2*v - 1\/12*v**3. Find u such that p(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 + 4*q + 1. Let b be m(-3). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -65*j - 255. Let y be u(-4). Sort 2, 4, -24, y in ascending order.\nAnswer: -24, 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1230*f - 4952. Determine v(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1124*u + 3025. Is 5 a factor of h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**4 + 6*r**3 - 20*r**2 + 19*r - 4. Let p(v) = 7*v**4 - 6*v**3 + 19*v**2 - 18*v + 4. Let b(a) = 6*h(a) + 7*p(a). Factor b(c).\nAnswer: (c - 2)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*q**2 + 168*q**2 - 5*q + 5*q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43588004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-12\/7))**24*(b**11*b*b)**(-10))**(-40) assuming b is positive.\nAnswer: b**(47920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 148*h + 1244. Calculate q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1844, 3263, 5628, 8939?\n\"Answer: 473*z**2 + 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18132932 is divided by 197?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 i, and 1 q when four letters picked without replacement from ailqillsqilsilqi?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18692.02 years in months?\nAnswer: 224304.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(117)*2)\/((-2*sqrt(27))\/sqrt(3)))**2 + ((sqrt(13) - 4*sqrt(117)) + 3)*-1.\nAnswer: 11*sqrt(13) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 2 + -13)*5\/(-20). Sort 2, 42, g in decreasing order.\nAnswer: 42, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634279 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212252 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2\/(52\/117)*10\/3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 129. Suppose 3*s - 809 = x + q*x, 0 = -5*s - 5*x + 1360. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79.856 + -0.144. Let j = 82 + g. Put j, -3, 2\/5 in decreasing order.\nAnswer: j, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - d = 2*d - 11, -4*d = -2*o + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2640 (base 8) to base 2.\nAnswer: 10110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -2*x - 5*l, -2*x - x + 499 = -4*l. Does 32 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 1018.\nAnswer: 64134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/24462 and 65\/9966.\nAnswer: 269082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {i: 17, j: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33505 > 33506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/6 + (-4)\/(-6). Suppose -12 = 3*a - s*a. Suppose a*y - 4*b + 9*b = 20, -5*y + 5*b = 20. Solve u + 3 = -y*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*c = 8, 3*b - b - c + 4 = 0. Let j(h) be the second derivative of b*h**2 - 1\/3*h**3 - 3*h + 0. Let y(v) = 2*v**2. Give j(y(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 10*f - f + 3*f as v + y*f and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i. Let s(x) = 60*x + 4. Determine h(s(n)).\nAnswer: -360*n - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -93. Let m(s) = -7*s**2 - 4*s + 8. Let l be m(-4). Let f = 85 + l. What is the closest to o in 4, f, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/3)*h*h**(-2\/5))\/(h\/(h*h*h**(2\/7)))**(-1\/29))**(-25) assuming h is positive.\nAnswer: h**(-28760\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.311 and 20343629.\nAnswer: 20343606.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 31*r**2 + 4*r + 6. Let x be m(-17). Let j(w) = -10*w**2 + 805*w - x*w. Let v(c) be the first derivative of 2*c**3\/3 + 2. Determine v(j(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 3*k)*(-1 + 3 + 0)*(-2978 + 15016*k**2 - 30032*k**2 + 15014*k**2).\nAnswer: 8*k**3 + 11912*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 14*t**2 - 15*t - 24. Let k be a(-13). Suppose 20 = 5*u, -k*u - 16 = -4*h + 120. What is the remainder when 66 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*c**2 - 52*c**2 - 48*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0996 - 0.1006. Let u = -0.401 - d. Suppose -o = o - 2. Sort o, -5, u.\nAnswer: -5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2201 divided by 31\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -20.7. Let o = l + -4.7083. What is o rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppf when four letters picked without replacement from ppppffpppppppppppp.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740652, 1481784, 2222916, 2964048, 3705180, 4446312?\nAnswer: 5187444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 6*a - 3*a)*(-5 + 0 - 3)*(1 + 1 + 0).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3 - f**2 + 0*f + 0*f + 4. Suppose 0 = -o - 13 + 5. Let d(j) = -2*j - 11 + 2*j**2 + 2*j. Calculate o*c(n) - 5*d(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:54 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/137385454 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155202572.48 + 6.\nAnswer: -155202566.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15908973 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s - 15. Suppose 5*n + 5*d - 15 = 0, 3*n = 7*n - 2*d. Let f be r(n). Solve -10*h + 9*h - f = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*g - g - 8*g)*(-1 + 2 - 4) + 2*g + 4*g - 4*g)*((-3 + 5 - 1)*(3*g + g - 3*g) + 5 - 2 - 3*g - 4) to the form h*g + l + n*g**2 and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)*i)\/(i**(-8\/7)\/i) assuming i is positive.\nAnswer: i**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1369754 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15645 and 231.\nAnswer: 172095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65476825?\nAnswer: 5, 229, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/18 and 14\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m - 70. Let u be d(-5). What is the closest to u in 2\/11, -2\/3, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4440.418539101 and 2.\nAnswer: -4438.418539101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122 (base 3) in base 16?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 335 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 24 = -25, -241 = -4*i + n. Calculate the remainder when 160 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**7\/630 + j**6\/30 - 3*j**5\/10 - 5*j**4\/24 + 6*j**2. Let k(n) be the second derivative of h(n). Factor k(b).\nAnswer: -4*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1320712.544 + -1321432.353167. Let p = i - -663.8092. Let h = p + 56. Round h to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 - -1631. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 + 10 - 7 + 2*j + 6*j**3 + j as g*j**2 + t*j + v + f*j**3 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(9\/2))*t*t)\/t**(-2\/37))\/(t**(-1))**(-7\/6) assuming t is positive.\nAnswer: t**(709\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -8. Let i be 25\/280*6 - (-1)\/(-4). What is the second smallest value in p, -2, i, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 831 + -174. What is the highest common divisor of u and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 4. Give q(15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/24 - 2*p**3\/3 + 94*p**2. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -8, 0, 6, -5 in decreasing order.\nAnswer: 6, 0, -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296792 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 66\/623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 + y - 1. Let f(r) = 17*r**3 - 3*r**2 + 3*r - 3. Let q = 17651 + -17648. What is q*h(n) - f(n)?\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 + 818*v**2 + 19790*v + 132802\/7 = 0 for v.\nAnswer: -23, -1, 2887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6587714, -6587713, -6587712, -6587711?\nAnswer: -6587710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17252696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68413108 to the power of 1\/2, to the nearest integer?\nAnswer: 8271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 7*f - 1. Let t be m(1). Differentiate 5*s**2 + t - 11 - 80 + s wrt s.\nAnswer: 10*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = g, 5*s - 41*g - 35 = -46*g. Put s, -142, -5, -4, -3 in ascending order.\nAnswer: -142, -5, -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 2*u + 3. Let j = -8 - -24. Suppose -4*g = -2*a - j, -5*g + 13 = -2*a - 6. Let c be h(g). Put -5, c, 3 in descending order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 + 2*h**2 + 2*h + 6. Let i(n) be the first derivative of z(n). Calculate i(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = -z. Let p = -3\/101 + 229\/909. Let i = -13\/18 + p. Is i smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 5*s, -16 = -4*f - s - 2. Let h be (1 + -2)\/(1\/(-8)). Let p(r) = r - 8. Let o be p(h). Solve -2 = m + 3*k, 4*k + 7 = f*m - o*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-0.03\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 2*x**2)*(-3 - 4*x + 3).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21\/2 + -47\/14. What is the common denominator of 9994\/1140 + (-1)\/(-3) and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 12*u**2 - 3*u - 14 - 20)*(0 - 2*u - 2 - u).\nAnswer: -36*u**3 - 15*u**2 + 12*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519 and 455336?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2126 + -1490. Let t = f - 338. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -0.152.\nAnswer: -0.00608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from owwowbwy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 118 = 374. Let x = -18 + i. Let r = -75 - x. What is the greatest common divisor of r and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 6257370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t + 21. What are the prime factors of f(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 77, 29, 4, -0.137, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 0*k + 2*k)*((5 + 2*k**3 - 5)*(0 + 1 + 0) - 2 + k**3 + 2)*(-7 + 7 + 10) to the form f*k**3 + t*k**4 + o + c*k**2 + z*k and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - -9) + 10416\/(-434)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1431911 - (22 + -17)) + -7*2\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79915 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*v - 198*v - 1365 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 27*v + 1005. Calculate w(-36).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14824 divided by -136?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 36 = 31*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 9. Suppose -250 = -49*t + 24*t. What is the least common multiple of t and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10630 - -205?\nAnswer: 11135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132385899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520975 and 513647?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 39*w**2 - 153*w + 189.\nAnswer: -3*(w - 7)*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 0, -7*r = -4*r - 5*b + 3*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -10. Let b = -333\/1892 - 1\/172. What is the nearest to -0.2 in c, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -333383 or 0.29?\nAnswer: -333383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -747 + 1632. Suppose -10*j + 881 = 3*k - 8*j, -3*j + u = 3*k. List the prime factors of k.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(12*r**2 + 903 + 26061*r - 52145*r + 26083*r).\nAnswer: 36*r**2 - 3*r + 2709","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 + -4.5. Let b = m - -17.4. Let d = 8.71 - b. What is d rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12*t = -3*t. What is the third derivative of 10*f**6 + 12*f**6 + t*f**6 - 56 - 2*f**2 - 4*f**5 wrt f?\nAnswer: 2640*f**3 - 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (-3)\/(-3 + 6). Suppose p*v - 5*v = -14. Let y = 34 + v. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**5 - 6841705*r**4 - 2340449786200*r**3 - 2340442944500*r**2 = 0.\nAnswer: -684170, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 divided by -320?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*r = 42*r + 123. Solve -6 = -2*v, 2*v + 10 = -r*t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/3*c**2 + 2\/3*c**3 - 4\/9*c**4 - 4\/9*c = 0. What is c?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 3. Let s(t) be the first derivative of t**4\/12 - t**3\/3 - 10*t**2 - 14. Let g(v) be the second derivative of s(v). Calculate -3*g(k) - 2*o(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/24)\/(((-10962)\/(-1160))\/(-9)).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*f**2*v*x**2 - f**2*v*x - 3729*f**2*x**3 - 421*f**2*x**2 - 24*f*v*x**3 - v*x - x**2 wrt x?\nAnswer: -22374*f**2 - 144*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (184\/1472 + 14\/16)\/((-4)\/(-136))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + 446\/(-10). Let a be (-5)\/(-7)*(-24)\/z. Let o = a - 20\/21. What is the second biggest value in o, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + -5. Let z = p + 19. Solve -v - 2*v = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:36 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 2 + 5*m + 3 + 17*m to c*m + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26971)\/61110 - (-56)\/126. Is s bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-2)\/(-3)) + 2. Let h(g) = -g**3 + 5*g**2 + 10*g - 7. Let z be h(6). Solve 5*r = -4*b + z, 3*r = 3*b - r - v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*1.03404\nAnswer: -1.861272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140\/13*f - 42\/13*f**2 + 2\/13*f**3 - 96\/13 = 0.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-3)\/2)*2. Suppose -x*r = 5*d - 40, 2*d - 5*r + 6 - 1 = 0. Suppose -4*j + 210 = 2*u, 10*j - d*j - u = 245. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**4\/24 - 13*g**2. Let l(c) = c**2 - 5*c. What is -3*f(d) + l(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 10 = -l - 4, -10 = -2*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 - -122. Let i(x) = -15*x - 49. Let y be i(a). Suppose n = 2*g + 3, -4*n = -0*g + 3*g - 12. Solve 2*w - y + n = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-5*sqrt(140))\/sqrt(10))\/((1*(sqrt(98) - -1*sqrt(98)) + sqrt(98) - sqrt(98)) + sqrt(98) - sqrt(98))*1)**2.\nAnswer: 100\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160.396 + -160. Let w = 0.104 + g. Let j = -0.24 - -0.45. Which is the biggest value? (a) j (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/1535 - -35329\/12280. Let h = 11921\/6 + -1976. Find the common denominator of h and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 2*p**2 - 2*p + 2 + 5*p - 2*p**4 to the form c*p**4 + t*p + r + w*p**2 + z*p**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 7. Let y(l) = -l. Let m be y(-2). Suppose -44 = -4*h - 4*b, -3*h + b + 18 - 5 = 0. Let f be (3\/h*0)\/m. Determine j(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 65, 235, 483, 815, 1237, 1755?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 2 + 16 - 16*j + 1 + 35*j.\nAnswer: 3*j + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 16) in base 10?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:32 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) 0.187 (c) -1 (d) 7.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-5088)\/340)\/((-4356)\/495 + (1 - -8))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (573\/(-51) - 0) + 1. Let r = 4661\/374 + t. What is the common denominator of 1\/(-3) + 63\/6*(-11)\/33 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060677021 to the power of 1\/3, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**3 - 13*d**2 + 4*d - 25. Let m(u) = -11*u**3 + 11*u**2 - 3*u + 23. Let v(z) = -7*m(z) - 6*x(z). Give v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-two fifths of a decade?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 214. Let h be 1\/(-4*4\/l). Suppose -h*n + 141 = -496. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + 1011411440?\nAnswer: 1011411401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -55555.99568 to the nearest 1000.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - s - s + ((-1 - 4 + 3)*(3 - 2 + 0) + 1 - 1 - 1)*(198*s + 745*s + 364*s) to the form x + a*s and give a.\nAnswer: -3922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**34*h)\/((h\/h**14)\/h))\/(h**(3\/14))**(-23))**32 assuming h is positive.\nAnswer: h**(-2928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180414229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v - 7. Let w be k(-4). Let m be -1*((1 - 1) + -1). Let s = m - w. Let r(z) = -z + 7. What is r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 2*j + 5. Let t(m) = m**3 - 17*m**2 + 60*m + 41. Let s be t(6). Give k(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.8 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 + 4 = 0, x = 3*d + 45. Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 1, x: 1, b: 2, p: 5}. What is prob of sequence cpcx?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeeyyeyhyqykqy. Give prob of picking 1 q, 1 h, and 2 e.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-18)\/(((t*t\/(t\/t**(1\/2)))\/t)\/t))\/(t*t*t\/(t*t**6*t)*t*t)**(-37))**(1\/13) assuming t is positive.\nAnswer: t**(-257\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(144)\/(sqrt(24)\/sqrt(3) + sqrt(8)) - sqrt(18)) + -4*sqrt(72)\/sqrt(4))\/(sqrt(63)\/(sqrt(63)\/(2*sqrt(9) + sqrt(9)))))**2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346946307 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-35))**(-45) assuming m is positive.\nAnswer: m**525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s - 1 = 4*a - 87*s, 0 = 4*a + 4*s - 20. Find v such that -6\/5*v - 3\/5*v**a - 3\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let a(k) = k. Let c(t) be the first derivative of 0 + 1 + 2 - 4 - 5*t**2. Let r(u) = 6*a(u) + c(u). Calculate l(r(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1728))\/sqrt(9).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29235064.77 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2772159383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 40*h**3)*(-2*h**2 + 2*h**2 - 4*h**2).\nAnswer: -160*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 4*u + u - 4*v, 0 = -u + 5*v - 9. Let d be (-14)\/(-49) + (-332)\/u. Solve -2*k + 5*p + d = -0*k, 0 = 4*k + 4*p + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -22*x**2 + 905*x - 2601. Calculate t(38).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 - 2*s**5 + (0*s**5 + 3*s**5 - 6*s**5)*(2 - 3 + 3) - s**5 + 10*s**5 + 5*s**5.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 196640 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(5\/(-10)). Let j be 8\/(-2) + (1 - m). Let p be j\/(((-9)\/24)\/3). What is the highest common divisor of p and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -339 + 386*k + 160*k - 222 + 32 wrt k?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h - 3*h**2 + 10*h + 2*h**2 - 32*h**2.\nAnswer: -33*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*c + 304*c - 976 + 286 = 0. What is the remainder when 509 is divided by c?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.596, -4\/7, -11198?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:38 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 16. Let m be (-8)\/2*(-5)\/d. Suppose -5*r + 0*j - 3*j + 24 = 0, r + 4*j = -m. Calculate the least common multiple of r and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h - 325 = -7*h + 139 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4489 is divided by 4480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -22336 and -35774 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*o + 3*b, -o - 5*b = -2*o + 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Let b = -4\/29 - 46\/87. Let k = -41\/2 - -20. Sort k, b, l.\nAnswer: b, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(9\/7)*k)\/((k**(1\/16)*k)\/k) assuming k is positive.\nAnswer: k**(361\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309 = -141*i + 134*i - 70*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.713 - -6.613. Suppose 0 = -3*h + 2*h. Which is the third smallest value? (a) v (b) -8 (c) h (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + (sqrt(891) - (5 + sqrt(891)))*2)**2.\nAnswer: -360*sqrt(11) + 3664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 91\/35 - 6 - -3. Put -0.3, j, 1\/3, -3\/4 in decreasing order.\nAnswer: 1\/3, -0.3, j, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10024, -9055, -7440, -5179, -2272?\n\"Answer: 323*d**2 - 10347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/795, -21\/59, 4?\nAnswer: -2\/795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3406*r**2 + 3427*r**2 + 3398*r**2 + 3399*r**2 - 20441*r**2 + 3403*r**2 + 3406*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 10. Suppose -53 = -3*l - x*q, -3*q = 3*l + l - 70. Suppose -974 = 91*a - 4432. Calculate the highest common divisor of l and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 6. Let d be y(4). Let o = -24 + d. Is 129 + -9 + 6\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let m(k) = -9*k**2 + 12*k - 3. Suppose -1 = -j - 0. Let g(z) = j*m(z) - 6*p(z). Determine f so that g(f) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 138 - 138.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 9\/4, 4, -423\/7, -0.3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989835 >= 6989861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 23492930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 + -216 - (-4 - -27)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 36. Let q be o(9). Suppose 2*d - m = -q*d + 21, 0 = -2*d + 3*m + 27. Solve -10 = -14*n + d*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*y = -6, 23*a - y = 25*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3320.92 + -113.48. What is w rounded to the nearest 10?\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*d - 14, -22*b - 3*d + 208 = -20*b + 189 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 at most as big as -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*j. Suppose 45 = x + j*x. Let n(i) = i**2 - 8*i - 3. Let r be n(x). Calculate the highest common divisor of r and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003506718789 to 6 dps.\nAnswer: 0.003507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890 = -3*z + 12700. Round z to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 43?\nAnswer: -96\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*y. Let l(b) = b**2 + y*b**2 + b**2 - 2*b**2. Let t(r) = 14*r**2. Give l(t(u)).\nAnswer: 392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1211980 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o = -219 - 579. What is the units digit of (149 + o)*26\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101? (a) 2\/7 (b) -2\/5 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2454290 or 2454286?\nAnswer: 2454286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -179, 3.9, 0.3 in descending order.\nAnswer: 24, 3.9, 0.3, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1387 + -836. Calculate the highest common factor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 23. Which is the smallest value? (a) m (b) -1 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -983045 divided by 7\nAnswer: -140435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 52. What is the highest common divisor of 120 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**9\/504 + p**8\/112 + 11*p**7\/210 + 887*p**5\/12 + 2274*p**2. Find the third derivative of l(n) wrt n.\nAnswer: -120*n**3 + 180*n**2 + 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v + 2. Let t(z) be the third derivative of 215*z**4\/24 - 55*z**3\/6 + 376*z**2. What is 55*k(x) + 2*t(x)?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 - 78 = -16*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3352789 at least as big as -3352786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29163521 and 5455?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -956*l**7\/105 + 19*l**3 + 698*l**2. Differentiate k(d) with respect to d.\nAnswer: -7648*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3486933 divided by 1162311?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 699\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y**3 + 3*y**2 + 2*y - 4. Let t(q) = -12*q**3 + 2*q**2 + 2*q - 3. Give 3*f(w) - 4*t(w).\nAnswer: 9*w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 26*g - 2*t - 45, 5*g + 9*t - 24 = 10*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9811, -19642, -29477, -39316, -49159, -59006, -68857?\nAnswer: -78712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200)*-5.\nAnswer: -100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 267*m + 814. Let k be p(-3). What is the greatest common factor of k and 1053?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + (-95)\/(-7))*(-105)\/(-10)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199\/42 - -32\/7. Let n(a) = -9*a + 88. Let m be n(26). Let w = -727\/5 - m. Sort d, w, 2.\nAnswer: d, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*h**2*v**3 + 2*h*v**3 + 14*h*v**2 + 5*v**3 wrt h?\nAnswer: 566*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/16444 and -9\/2228?\nAnswer: 9159308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298 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 be 90\/(49621\/4134 - 12). Round w to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 15*m - 100. Calculate w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 110238, 110262, 110322, 110436, 110622, 110898?\n\"Answer: 3*v**3 + 3*v + 110232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966785131 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (106764\/(-205) + (-4)\/(-30))\/((-5)\/15).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35063760 and 3120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*f**2 - 3*f + 525 with respect to f.\nAnswer: -256*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1463\/29 = -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Find the second derivative of y**3 - 3*y**2 - 188*y.\nAnswer: 6*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227025260 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55377, -55209, -55041, -54873, -54705?\nAnswer: -54537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*o - 4*p, -o + 6 + 12 = 4*p. Let a = 2 + 1. Suppose -3*w + w + a*v = -o, 4*v - 8 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = y - 3*y - 4, -24 = 3*d + 3*y. Let u = 23 + d. Calculate the remainder when 30 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a year in months?\nAnswer: 86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 10*b - 60.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2 + 98*t - 45560 = 0.\nAnswer: -268, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5170, -10335, -15502, -20671, -25842, -31015?\n\"Answer: -i**2 - 5162*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, 0, -37, 2.\nAnswer: -37, -1, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919304281?\nAnswer: 7, 569, 230807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96616066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22)*-2 - sqrt(22))\/(sqrt(98) - (sqrt(98) - 1*sqrt(98))) + -3.\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -289553\/8 and -36193 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 20 - 0, -2*o = 3*x - 7. Let d = -1.07 + 0.07. Which is the smallest value? (a) o (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11095 = 3201*h - 39989 - 51348 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 + -1.552.\nAnswer: -1.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*6*(sqrt(102) - -2*sqrt(102)))\/(sqrt(24) - ((sqrt(216) + 2*sqrt(216) + sqrt(216))\/sqrt(9) + sqrt(24))).\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rffggrfpggfgfgpffg. Give prob of sequence rp.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*p**2 + 410*p + 25 = 0. What is p?\nAnswer: -1, -5\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 78\/61, 3\/8, -1\/16, 1\/2, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 11*k - 8. Give g(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 17. Let k be n(12). Suppose z + 2*z - m + 5 = 0, 0 = -4*z - 3*m + 15. Is 14 a factor of 0 + k*(z - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062339.\nAnswer: 3, 43, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 447746, 895651, 1343554, 1791455?\n\"Answer: -w**2 + 447908*w - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -z + 4, 3*z - z + 2*j - 24 = 0. Suppose -51*v + z = -53*v. List the prime factors of -3 + -1 + (115 - v).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8854.101 litres?\nAnswer: 8854101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66, -125, -178, -225, -266?\n\"Answer: 3*j**2 - 68*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4 - 4 - 1 + 3 + 16 - 13 + 20 + (2 - 1 - 2)*(-4 + 0 + 5))*(2*s**3 - 3 + 3).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053453?\nAnswer: 1427, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -25*x**2 - 6*x + 36. Let p(g) = 25*g**2 + 5*g - 37. Let v(j) = -5*n(j) - 6*p(j). What is the first derivative of v(b) wrt b?\nAnswer: -50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19761846827 take away 3633.3?\nAnswer: 19761843193.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = -1. Let i(k) = k**3 - k**2 - 2*k + 2. Let t be i(c). Let n = -4054 + 4058. Solve t*x = 4*x + n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/12 + 2\/3*h - 1\/12*h**2.\nAnswer: -(h - 7)*(h - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01 or -540?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6576276*u*z**3 - 3*u*z**2 - 3*u*z - 40*u - 10*z**5 - z**2 + 5024*z + 2 wrt z.\nAnswer: -39457656*u - 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, 1 f, and 1 y when four letters picked without replacement from {t: 8, f: 4, s: 1, y: 3, p: 3}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r. Suppose 5*x = -h - 1 + 20, x = h - 1. Let s(w) = x*w - 3*w + w. Give s(y(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6312380 is divided by 97.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -796 - -793. Let l = 17 + -17.9. Let t = -1 - l. What is the third smallest value in p, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4265*t**4 + 2*t + 13070?\nAnswer: -17060*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 2894?\nAnswer: 86.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 122*w - 2352. Calculate c(98).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 164484 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5935*x - 23779. Give y(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1757991 and 3778.72?\nAnswer: 1754212.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**3\/2 - 15*g**2\/2 + 4*g. Let m be z(-6). Solve -m*c + 3 = -5*k, -3*c + 5*k = 3*k + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 248000?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212.1 + -55.5. Let m = 41 - n. What is m rounded to zero decimal places?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:04 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19855 - -634622.\nAnswer: 614767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 - 1)*(0 + 0 - 4)*(-5*c**4 - 15973*c**3 + 15973*c**3)*(1 - 5 + 0) to a + n*c**4 + r*c**2 + m*c**3 + j*c and give n.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -741351 and -673231?\nAnswer: 68120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -37. Let m be 4\/c - (-2)\/9. Solve 2*h = -m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(5\/(-9))*1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 + -112. Calculate the highest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 55. Which is the nearest to 0.1? (a) x (b) 7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 1, -0.4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(3\/2)\/((-2)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 7943881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -10*m + 77 - 62 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 7473.\nAnswer: 224190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/12 - 7*m**3\/6 - 5*m**2\/2 - 5*m. Let h be -2*(-36)\/8 + 3. Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/(-64))\/(6\/(-11125896)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*m - 6 = 0, 5*q + m + 27 = -3*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31872, 127554, 287046, 510366, 797532, 1148562, 1563474?\n\"Answer: 3*w**3 + 31887*w**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 + 7*l + 8. Let d be p(7). Suppose -d - 7 = -5*v. Differentiate -5 + 7 - 1 + v - 5*j**2 with respect to j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 - 2) - (-14 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 363*d. Let x(m) be the first derivative of m**3\/3 - 160. Calculate x(j(z)).\nAnswer: 131769*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4605 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*x**2 - 15\/2*x + 0 = 0. Calculate x.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1349, -1361, -1381, -1409, -1445, -1489, -1541?\n\"Answer: -4*f**2 - 1345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*m**3 + 55*m**3 - 39*m**3 - 40*m**3.\nAnswer: -62*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2790*s + 2*s**2 + 2778*s + 0*s**2 + (16*s + 43*s - 3*s)*(s + 0 + 0) as o*s + t*s**2 + u and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -415114, -416718, -418322?\n\"Answer: -1604*q - 413510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-6) - 3\/(-9). Suppose 5*o - 6 = -2*b, 4*o - t*b - 22 = -6. Suppose -o*u + 5*u - 84 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.039? (a) 0 (b) 2 (c) -5 (d) -4663\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1559765*u**5\/9 - 10402309*u**4\/9 + 23172512*u**3\/9 - 17774872*u**2\/9 + 1122032*u\/9 - 208\/9 = 0. What is u?\nAnswer: 2\/10757, 2\/29, 2, 13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13578567*o**5 + 3*o**3 + 6*o**2 - 1752418*o wrt o.\nAnswer: -814714020*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -9*z + 21. Suppose -27 = 3*f - 3*s, -5*s + 11 = f - 10*s. Which is the second biggest value? (a) z (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8141 (base 15) to base 2.\nAnswer: 110101010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:05 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100011101001110010000 - -11?\nAnswer: -101100011101001110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 37454*u + 169 = 37452*u, 4*u = -8 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -2*r. Sort r, 1, 2 in ascending order.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -870 - 73?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 527, 1335, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:05 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85278303 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 305508*u + 305511 = 0.\nAnswer: -101837, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -35*r. Let k(i) = 0*i + 5*i - 4*i - 2*i. Determine w(k(x)).\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 141729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3, s: 1, v: 3, z: 6}. What is prob of sequence ff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 6*j - 8. Let k be a(3). Suppose -3*y - 19 = 2*m - 4*m, 4*y + 18 = -m. What is the biggest value in -3, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 3008*x**3 - 428636*x**2 - 528183744*x - 61665803298.\nAnswer: -2*(x - 939)**2*(x + 187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -4480.\nAnswer: -4480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162635216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and 103\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 25*d = -10*d - 574 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373\/788 + -285\/394. Suppose n + 0 = 1. Which is greater: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/66 and 199\/4830.\nAnswer: 53130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a factor of 689083428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3117*v**3 + 10311*v**2 + 78648*v + 91116 = 0.\nAnswer: -2, 7593\/1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 55831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4388 divided by 599?\nAnswer: 4388\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/264 and -7\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*44\/462?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 47*x**2 + 25*x + 29. Let w(v) be the second derivative of 4*v**4\/3 + 4*v**3\/3 + 5*v**2 + 25*v. Let g(d) = 6*i(d) - 17*w(d). Factor g(l).\nAnswer: 2*(l + 1)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -444177259?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26290946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 + 7. Let q(c) = -6*c**2 + 7. Let k(b) = -6*j(b) + 5*q(b). What is the remainder when k(3) is divided by 1 + 0 - (-14 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*j**4\/5 + 501*j**3\/5 - 5166*j**2\/5 - 1323*j\/5 = 0. Calculate j.\nAnswer: -1\/4, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 9. Let z be k(6). Let g(x) = 4*x + 4 - 5*x**2 + 2*x**2 - 3*x**2 + x**z. Give g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 + 2409*u**3 - 4827*u**2 + 2415*u = 0. Calculate u.\nAnswer: -805, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 4. Let v be w(2). Suppose v*z + 2 = z. Is 16 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*f**5\/3 + 88*f**4 - 24*f**3.\nAnswer: -2*f**3*(11*f - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6436, 6428, 6416, 6400, 6380, 6356?\n\"Answer: -2*s**2 - 2*s + 6440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37005 + -11656. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4265 + -4261. Put z, 0.1, 2.19 in ascending order.\nAnswer: 0.1, 2.19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 36 = 2*r, -5 = -r - 3*q + 4. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.991111432 to two dps.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 20. Let z(c) = c**2 - 16*c + 34. Calculate the remainder when z(17) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6767997 is divided by 242?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from hssttttmmstm?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (915\/(-60))\/(270\/24 - 11)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r - 80. Let f = r + -18. List the prime factors of 32 - (2\/f - 2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 104*z**2 + 6*z**3 - 113*z**2 + 8*z + 11*z**3. Let b(j) = -j**2 + 4*j**3 - j**2 - 5*j + 7*j. Give 9*b(g) - 2*u(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*y**5 - 22*y**5 + 25*y**5 + (18 - 5*y**2 - 18)*(y**3 - 4*y**2 + 4*y**2).\nAnswer: 25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 8*f + 2. Let w(z) = z**2 - 15*z - 3. What is 5*t(r) + 3*w(r)?\nAnswer: -2*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82041 is divided by 307.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -35 - 45. Let g = -12 - t. Let u(x) = 2*x**2 + 2*x. Let p be u(g). Solve 0 = -0*q - q - p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/10)\/(54\/810))\/((-4)\/2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002001102 (base 3) in base 10?\nAnswer: 40862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 59 - 31)*(7*v - 13*v - 8*v)*(v**2 - 3*v**2 - 2*v**2).\nAnswer: -5600*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326 = -69*j + 41*j - 74*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 229*o + 1124370 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 7*a + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 879 and -498.\nAnswer: -437742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 2468*q + 24612. Give w(10).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21541 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116 - 55 + 17*j - 58)*(1 - j - 1) to f*j + k*j**2 + n and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*m - 2790433*h - 1042388*m wrt m?\nAnswer: -2*h - 1042388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 43*v = 38*v + 30, -7*o + 6 = -8*o + v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85903*c**2 + 133*c**2 - 44681*c**2.\nAnswer: -130451*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 0.1, -6, -3\/8, -99 in decreasing order.\nAnswer: 0.8, 0.1, -3\/8, -6, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 589 = -365. Suppose 2*k - 3*v - a = 177, 0 = -2*k + 4*v + 338. What is the remainder when k is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v**3 + 2*v**3 - v**3 + 3 + 10*v**2. Let g be r(-10). What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 21*g = -38283. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 < -1004.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*p + 4. Suppose 4*g + 16 = 0, -2*g - 20 = -3*t - 0*g. Let z = t + -7. Which is the second smallest value? (a) z (b) p (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + 5*t - 5. Let b = 39 + -43. Let w(k) = -k**3 + 4*k**2 - 4*k + 4. Calculate b*h(u) - 5*w(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.749909 rounded to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2940\/(-75) + 39)\/(1\/25) + 1653\/330\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-57)\/950*15\/(-33)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2025911, -2025905, -2025887, -2025851, -2025791, -2025701, -2025575?\nAnswer: -2025407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2 + y + 2. Let m(f) = -4*f**3 - 20*f**2 - 3*f - 4. What is -2*k(s) - m(s)?\nAnswer: 2*s**3 + 18*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 9*g**3 + 12*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 1561 = -13*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91923221\/2128 + -43197. Find the common denominator of 7\/836 and j.\nAnswer: 23408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = -10. Let w = 19 - o. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15620660 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) 3 (c) -5 (d) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41239?\nAnswer: 11, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 21. Let g be s(0). Let y be 2\/14 - (-2019)\/g. Let l = 389 - y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/11 and 14\/3155.\nAnswer: 34705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**3 + 936*n**2 - n - 14195?\nAnswer: 9*n**2 + 1872*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -5. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*((1 - -1) + -15) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6498 and -1.34411.\nAnswer: 6496.65589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)\/((-21)\/33537). Let w = q - 198. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddevgdvgdddded. Give prob of sequence vgve.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253670754 rounded to five decimal places?\nAnswer: -0.02537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -756 < 1021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 6*x + 3*x + 7*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1926 + -1925.8. Which is the nearest to 1? (a) 3\/8 (b) 2 (c) -4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30188*c**5*q - 3*c**4*q - 359*c**2*q + 34*c**2 + 2*c*q + 2*c + 2*q wrt c.\nAnswer: 1811280*c**2*q - 72*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -7 in descending order.\nAnswer: 6, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {c: 7, y: 8, p: 3}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:55 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/(132\/(-16)) + (-7206)\/(-9).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 14*b - 22. What is g(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**2*g)\/g))**(-1\/55)*g**(1\/17)*g\/(g*g**(-6)) assuming g is positive.\nAnswer: g**(5682\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 25952.\nAnswer: 25952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 7*u**2 - 12*u + 24. Let f be n(8). Let a(x) = -6*x**2 - 47*x + 4. Let y be a(f). Sort y, 1, 146 in decreasing order.\nAnswer: 146, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1 = 5*n, 4*n + 2*c + 3 - 7 = 0. Find the second derivative of -17*s**2 + 3 - 35*s**2 + 41*s + n*s**2 - 4 wrt s.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 35*a**4 - 6*a + 37*a**4 - 2*a**3 - 3*a**2 - 3*a**4 to y*a**2 + i*a**4 + c*a**3 + j*a + o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -24, 0*b + 162 = 5*s + 3*b. What is the lowest common multiple of 165 and s?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 5*j + 3*j)*(1295*j**2 - 1295*j**2 + 2*j**3 + 4) to o*j**2 + q + y*j**3 + b*j + h*j**4 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -2.93542?\nAnswer: 4.696672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 18450.14um?\nAnswer: 0.00001845014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -216*b**3 - 2*b - 2. Let q be t(-1). Let d = -536 + q. Let p be d\/120 - (1 + 2\/(-3)). Is p greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+16055519522\nAnswer: 16055519519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 2*v - 6 - 3*v. Let i(q) = 20*q + 17. Let l be -5 - -1 - (1 - -1). Let h be (-2 + 1)*17\/1. What is h*j(k) + l*i(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -1. Let n be -2 - -2*(-6)\/(-4). Which is the closest to n? (a) 0 (b) -4\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 9*i - 20 = 14*i, 3*i = -4*q - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194464 is divided by 521.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -20. Suppose -5*z + 3*r - 5 = 0, 7 + n = 5*z + r. Factor -4*b**2 + z*b + b + b**2 + b**3 - 1.\nAnswer: (b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 528 + -526. Calculate the smallest common multiple of 740 and v.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 220?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7174 and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 5. Let v(g) = 5*g - 10. Let k(n) = -4*v(n) - 7*x(n). Let i be k(-5). Suppose -2*y + 5 - 22 = -u, -3*u + y + 56 = i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-14)*33\/(1287\/728)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2765*f**2 - 11113*f - 100. Determine p(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:44 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 - d. Let x = -13 + 18. Let n be (-10)\/x + 3 - -13. Let t = n + -15. Determine f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2. Let m(o) = -14522932*o**2. Calculate z(m(a)).\nAnswer: 1054577769383120*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n**2 - 28*n + 50. Let o(r) = -r**3 + 21*r**2 + 27*r - 50. Let c(g) = -2*o(g) - 3*s(g). Factor c(y).\nAnswer: 2*(y - 1)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -739516\/721 or -1026?\nAnswer: -739516\/721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3\/2 + 25*m**2 - 35*m\/2 - 45 = 0. Calculate m.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -67. Let n(r) = -r**3 + 7*r**2 - 6*r - 7. What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, -7, 5, -2, -6, -4 in increasing order.\nAnswer: -20, -7, -6, -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Solve -3*z - 3 = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b + 4, 5*p = -b - 4. Let k be -2 - (0 + p)\/(-4). Let o be (2 + k)\/(5 - 6). Solve -t = -o - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/5)\/(2\/(-4)). Suppose 0 = 19*q - 53 + 775. Sort q, n, 5.\nAnswer: q, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 27*w - 9*w**2 + 6*w**2 + 21*w**2 + 19 - 4*w**3 + 2*w**3 + 23*w**2. Let n be r(21). Calculate the greatest common divisor of n and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-44010\nAnswer: -8802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 + 17*o**2 - 5. Let l(s) = 6*s**3 + 25*s**2 - 8. Let t(r) = -8*f(r) + 5*l(r). Find the third derivative of t(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 1615*k - 109602. Give z(-71).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4659, -19485, -34311, -49137?\nAnswer: -63963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(6\/((-108)\/(-3)))\/(2*(-3)\/18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y)**(1\/50)\/(y*y**(-2))**(-8\/7) assuming y is positive.\nAnswer: y**(-1951\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 132867457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 2*a**2 - 9*a + 1. Let q be k(-4). Solve 4*b = 4*c - 16, q*b + 0*b + 5*c - 10 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*s + 28 = 0, -n + 2*n - 2*s = -6. Suppose -2*i = 1 + 9. Let q be 1\/5*-3*i. Which is bigger: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*p = 0, -4*k + 4 = 2*p - 5*p. Find the first derivative of 2*i**k + 21 - 63 + 59*i**3 - 59*i**3 wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2697.907\nAnswer: 2697.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4*s**2 + 2*p**4 - 14*p**3*s - 5*p**2*s - 3*s**2 wrt p.\nAnswer: 24*p*s**2 + 48*p - 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (5*sqrt(396) + sqrt(396) + sqrt(396)))\/sqrt(9))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002329 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 13 + 18)*(4*m - m + 0*m)*(2 + 0 - 8)*(1 - 1 + m)*(-3 + 0 + 2)*(-2*m + m - m).\nAnswer: -792*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8365*g + 32 = -8373*g. Put 1, 21, g in increasing order.\nAnswer: g, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 1\/6 (c) -43\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 250 + (-1 - (6 - (3 - 0))). Let g be ((6 + -8)\/s)\/(1\/2). Is -1 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 31 = 5*o, -6*o - 10 = 17*q - 15*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 342297223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 641537 or 641630?\nAnswer: 641630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -22*g + 24*g. Let a(i) = i**3 + 3*i**2 - 6*i - 8. What is the remainder when 28 is divided by a(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422102134 (base 5) to base 4\nAnswer: -12230011023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368400 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 122*i**2 - 165*i - 10066. Determine k(-61).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -21. Let t(k) = -4*k - 12 - 2*k + 2*k**2 + 0 + 2. Calculate the remainder when t(g) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*u + 91*u + 285 - 550*u**3 - 285 + 115*u.\nAnswer: -550*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -2)\/(1\/2). What is the highest common divisor of 32 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 19589304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 - 4*n**3\/3 + 45*n**2 + 3486*n - 6845. What is the first derivative of y(g) wrt g?\nAnswer: 3*g**2 - 8*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1\/3 + 1. Let k = 18 + -29. Let v = k + 12. What is the third biggest value in d, v, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*w + 1290 = -240 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -97. Suppose 2*j + z*j + 4*u = 32, -j - 4 = -3*u. Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50012*s**2 - 903*s + 7.\nAnswer: 100024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -40\/7984911 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 3, k: 6, r: 2}. What is prob of sequence rrl?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000457384186 rounded to 7 dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16 + 88*c + 2 - 87*c. Give x(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 1\/65*h**5 + 1\/780*h**6 + 0 + 4\/39*h**3 + 0*h + 3\/52*h**4 - 12*h**2. Factor z(j).\nAnswer: 2*(j + 1)**2*(j + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 11:39 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7*y - 11. Let n be k(-9). Suppose 3*g - 2*g - n = 0. Suppose -5*u - g = -197. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62791017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 x when three letters picked without replacement from xyyyyyxyyxyyyyy.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -257 + 182 + 16 + 19?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 487.1 - 496. Let s = -3.9 - a. What is the closest to 4 in -0.4, 2\/5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 1, x: 6, i: 2}. What is prob of picking 1 i and 1 x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 + 2*s + 8. Let v be f(-2). Find the third derivative of -78*m**3 + v + 6*m**2 - 4*m**2 - 15 wrt m.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -988*h + 1152. Is 6 a factor of l(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 54 - 4\/3*r - 32*r**3 - 32\/3*r**4 - 11*r**2. Let g(b) = 0. Calculate b.\nAnswer: -2, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 747. Let q(r) = 11*r - 2243. Give -8*n(f) + 3*q(f).\nAnswer: f - 753","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8208)\/(-81) + 4\/(-3) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.709 to two decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3. Suppose 0 = -b - 0*y + y + 13, -j*b - 3*y = -27. Suppose 0 = -4*w + 11*w - 231. Calculate the highest common divisor of b and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 685 + -686.3. What is the closest to 2 in h, -5, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**2 + 8*m + 6. Let p(a) = 3*a**2 - 3*a - 2. Let k be ((-8)\/(-2))\/((-2)\/(-4)). Let v(u) = k*p(u) + 3*f(u). Differentiate v(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-60)*14\/49. Let c = 4429\/19 - 233. What is the nearest to -0.1 in -1, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 0*w + 5 - w**2 + 0*w - 4*w. What are the prime factors of l(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1430 (base 7) to base 12.\nAnswer: -3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2203, -3829, -5455?\n\"Answer: -1626*n - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.29027756 to two dps.\nAnswer: 3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 1 - 11 = 32*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129395 and 203335?\nAnswer: 1423345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41250 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/(0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 + 8 + -70 + 70\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-1 + -6 - -1 - (1773 + -1784)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*sqrt(100)\/sqrt(4))\/((-1*sqrt(5) - sqrt(5))*1))**2.\nAnswer: 129\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 9 = -4*n, 5*n - 6 = 2*g + 1. Let x(i) = -48*i**2 + i - 2. Let b be x(n). Let w = b - -53. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(405) + sqrt(405)) + (-3 + -3*sqrt(405))**2 - ((sqrt(160)*-1 + sqrt(40))\/(sqrt(8) - (sqrt(128) + -1*sqrt(128) - sqrt(128))))**2.\nAnswer: 27*sqrt(5) + 18269\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 113, 165, 219?\n\"Answer: q**2 + 47*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, b: 4, l: 3}. What is prob of sequence tlb?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*u**2 - 11*g**3*u - g**2*u**2 - 309*g - 3*u**2 wrt g?\nAnswer: -12*g*u**2 - 66*g*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 3*g + 0*g**2 + 5*g - 3*g**4 to the form c*g**2 + j*g**3 + p*g + o + n*g**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -286 + 462. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1228 + 2*i + 1260. Let u be t(-12). Let n(j) = -3*j**3 + 3*j**2 + 2*j - 3. Let w(m) = 3*m**3 - 4*m**2 - 3*m + 4. Calculate u*n(l) - 3*w(l).\nAnswer: 3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {t: 1, w: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -641, 1, -8, -1 in decreasing order.\nAnswer: 1, -0.1, -1, -8, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 - 37*q**3 - 23*q**3.\nAnswer: -76*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12636 (base 7) in base 15?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -253\/8 and -32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11. Factor -o + n*o**2 + 0*o**2 + 0*o + o**3.\nAnswer: o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137 + 162 = 303*y + 87 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 7, u: 5}. Give prob of sequence uml.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*p + 24, 0 = -p - p - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - n - v - 2, 0 = 5*n + 5*v + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 1 - (-6)\/(-2). Let b be ((-6)\/y)\/((-6)\/(-8)). What is the third derivative of 7*l**2 - b*l**2 - 7*l**2 - l**2 + l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 189, 177, 165, 153, 141, 129?\n\"Answer: -12*c + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 1:49 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmhtmtmmtmmtmtmmm. What is prob of sequence mm?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7058*c**3 - 3*c**2 + 6*c + 2. Let u = -2 - -8. Let m be v(u). Let r = -2794598 - m. Round r to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g - 2439168 = -2438222 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5009*h**3*l**4 + h**3*l - 193*h**2*l**2 - 508967*l wrt l?\nAnswer: 60108*h**3*l**2 - 386*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.9920152 or 2?\nAnswer: 5.9920152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*c**3 + 109746*c**2 + 62676*c + 8952.\nAnswer: 3*(c + 746)*(7*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1244)\/(-8) + 6\/(-12) + -4.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321653394 take away -955?\nAnswer: 321654349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*d - 368. Suppose -3*p - 2*c = -2*p - 26, 0 = 4*p + 5*c - d. Solve 3*n - p = -6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/325942?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*g + 7 - 23 = 0, 5*g = 15. Which is the closest to -2? (a) d (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:26 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -175. Is (1942\/6)\/(5 + k\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.457 * -461.\nAnswer: -210.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 2. Let c(f) = 34*f - 200. Let i be c(6). What is h(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -17. Let z(a) = a**2 - a + 1. Let l(d) = 37*d**2 + 2*d - 3. Let k(q) = l(q) + 3*z(q). What is the remainder when k(-1) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ylyly?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -729731.\nAnswer: 3\/729731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -19*g + 52. Let o(d) = -d + 1. What is o(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3178.\nAnswer: -2\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 250 = -25*g, -r - 5*r + g + 53 = -2*r + 42 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2066.138 + 25.762. Let l = -2333 + a. Round l to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 9 + 37 + -8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -611757, -1223477, -1835199, -2446923, -3058649, -3670377?\nAnswer: -4282107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 355649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 51 (b) -2 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 140\/3*6\/5. Suppose 5*v + 84 = -86. Let g = t + v. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/24*(27\/(-2))\/((-660)\/(-352))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let u(n) = 40*n**2. Suppose -375 = -35*q - 270. Let f(x) = -20*x**2 + 1 - 1. Let i(v) = q*u(v) + 7*f(v). Determine i(j(m)).\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 2*d**2 + d + 0*d**2 - d**2 - 38 in the form g + t*d + f*d**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210959 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + -6. Let l = 7 + t. Which is the third smallest value? (a) 2\/5 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(j - 3 + 12 + 1) to the form v*j + o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94912*i**4 + 3*i**2 + 23*i - 39 wrt i?\nAnswer: -2277888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299389.05 milliseconds to minutes.\nAnswer: 4.9898175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20793\/161 - -936\/7. Let j = -74\/253 + i. Find the common denominator of -2 - (146\/(-10))\/1 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10352*h - 8455*h + 43631 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 12 + 4*-1. Suppose 5*i - i - 3*b = 0, 0 = -4*i - l*b + 32. Suppose 7*m - i*g = 2*m + 2663, m - 531 = g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 d when four letters picked without replacement from hdhhhdd?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50536334*a**3 - 8421840*a**2?\nAnswer: -303218004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) - (-3*-2*sqrt(50) - sqrt(50)).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -0*w - 4*w, 0 = -3*w + o - 3. Sort 3, 6, w in ascending order.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 752*z**2 - 13*z + 24. Let x be u(2). Suppose -5*c - y + 3653 + 1387 = 0, 3*c - 3*y = x. What are the prime factors of c?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 155*l**2 + 155. Let b(u) = -77*u**2 - 3832*u - 77 + 3832*u. Let w(z) = 9*b(z) + 4*o(z). Find the first derivative of w(g) wrt g.\nAnswer: -146*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3 + 5405. Let m(p) = -1380*p**2. What is s(m(g))?\nAnswer: 5713200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**4 - 12*c - 80.\nAnswer: -24*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:35 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -86. Suppose 3*r + j = 9 + 22, 0 = i*r - 3*j - 75. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1849\/6 - 309. Let z = -0.309 + -0.001. Let t = 0.41 + z. What is the closest to t in -3\/7, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -44. Let u = 1649 + -1625. Let d = a - u. Put d, 10, -0.4 in ascending order.\nAnswer: -0.4, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4*b + 6, 3*b = 2*o - 13 - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = -31*d. Suppose d = a - 1248708 - 280292. What is a rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k - 4*k - 68*k**3 + 6 + 67*k**3 - 14*k**2. Determine o(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.82 - 2.82. Sort -1, w, -12, 2\/3.\nAnswer: -12, -1, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/570 and -57\/6415.\nAnswer: 731310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*(-7 + 3\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/5 of a millennium?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2717 - 677. Suppose 5*p - 2*d - 535 = 0, -5*p - 6*d + 3*d + x = 0. Calculate the greatest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 184 + 39 + 201 - 4*b**3 in the form o*b**2 + v*b**3 + c*b + g and give g.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/9*((-36)\/5 + -2) and (-2)\/12 + (-5)\/(-34).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.43, 4, -0.082, -2\/3, 2 in ascending order.\nAnswer: -2\/3, -2\/5, -0.082, 0.43, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**3 + 2*v**2 + 2. Let b(q) = 2*q**3 - q**2 - 1. Calculate 7*b(h) + 4*y(h).\nAnswer: -6*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 872127 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehzf when four letters picked without replacement from {h: 2, e: 3, z: 3, f: 1, q: 4, u: 6}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.878439 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96394, 192786, 289178, 385570?\n\"Answer: 96392*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4)*-1)\/(sqrt(63)\/(sqrt(7)*-1)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 59, 63, 55, 29, -21, -101?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0284 and -0.0777.\nAnswer: 0.00220668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963297 is divided by 192657?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8649\/35260 + 23\/430. Let t = -2\/41 + h. Is t bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i\/(i**(-1\/3)*i))\/i))\/(i*i\/(i\/i**(-3))))**46\/((((i**(3\/7)*i*i*i)\/i*i)\/(i*i*i*i\/i**7*i))\/(i*(i*i**(4\/5))\/i*i*i**6\/i)) assuming i is positive.\nAnswer: i**(13129\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*v - 83*v + 9497*v**2 - 25025713 + 25025711 wrt v.\nAnswer: 18994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 2, g: 1, c: 6}. What is prob of picking 2 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.3, 5, 0.9, 83.655 in descending order.\nAnswer: 83.655, 5, 0.9, 1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n - 4. Let z(r) = 15*r - 7. Suppose -17 = -b - 5*u, 3*u = -4*b + 4*u - 16. What is b*z(t) + 5*w(t)?\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 9*j**5\/20 - 3*j**4\/8 + j**3\/3 - j**2. Let n be f(7). Suppose -4*y + n = -2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + n + 19555 = 6*n, 7842 = -2*t - 2*n. Let m = t + 8926. Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 14 = f, -3*f + c + 16 = -c. Let y(o) be the third derivative of 1\/30*o**6 + 1\/15*o**5 + 0*o**3 + 19*o**2 + 0 + 0*o + 0*o**f. Solve y(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 39032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/85 + (-8720)\/4760 and -53\/1339.\nAnswer: 9373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 34, 1, 1\/2, -1.\nAnswer: -1, 1\/2, 1, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46886\/1802 - (-52)\/(24\/(-12))\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 389 + -124. Suppose -y + b = 4*y. Suppose y*m - 6 = 50*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-7) + 2\/7. What is the common denominator of t\/30 - (-5121)\/1080 and -7\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*s = -92*s + 24. Solve -v = 4*a - s, -2*a = 2*v + a - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63282001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-23)\/w)\/(w\/(w\/w**22)))**27 assuming w is positive.\nAnswer: w**(-1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 1, 0.655 in decreasing order.\nAnswer: 1, 0.655, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 22 + 38 = -4*l, -4 = l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h**2 + 2 + 0)*(106 - 38 + 33) - 16*h + 17*h**2 + 16*h.\nAnswer: 219*h**2 + 202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(96) + sqrt(96)))\/(sqrt(8) - (2*sqrt(1152) + sqrt(1152)))*1*-3.\nAnswer: 48*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/11 (b) -5\/4 (c) -5615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:44 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*j - 4. Let l = 57 - 56.8. What is the third biggest value in j, l, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -863 + 863 + 237*k**3 + (6*k - 3*k - 2*k)*(0*k**2 + k**2 + 0*k**2 - 1).\nAnswer: 238*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-7)\/21 - 27\/(-1). Suppose 0 = -4*i - g - 35. Let s = 72 + i. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 3*d**2 - 34*d + 117. Determine n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 3. Let d be i(4). Suppose -2*z + 2*l = 10, -d*z - l + 2*l = 5. Suppose h + h - 24 = z. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 6, 0.5, -2\/15, 44?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k - k - b, 2*b = -3*k + 10. Suppose 5*t - 1825 + 200 = k. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -7*m - 85. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -60. Suppose 5*t + r = -5. Let y(u) = -3*u + 4. Is y(t) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a*c*y**3 + 4*a*c*y**2 + 2*a*c*y + 8*a*y + c*y**3 + 14*y wrt y?\nAnswer: -60*a*c*y + 8*a*c + 6*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + 15 + (-4 + -3 - 1) + -3?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 48*r + 7176 = 0. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, -2, 2 in descending order.\nAnswer: 2, -2, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -485640 rounded to the nearest one thousand?\nAnswer: -486000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15)\/(-1*8\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**2 + 20*v + 113. Give d(-7).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x - 5. Suppose -3*c = -n, 0*c = c + 5*n. Suppose -i = -4*g - 21, 4*i + 1 = -g - c. Let a(j) = -1. What is g*a(z) + q(z)?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1083 by 4.\nAnswer: -1083\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 14 + 1. Let l(r) = r + 1 + 3 + 0. Let z be l(t). Is z less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259011 divided by -12\nAnswer: -86337\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + -5 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95\/204 - 7\/12. Which is the nearest to -1? (a) f (b) -4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412209 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k**(2\/31)*k)\/k)*k*k)**(9\/11)\/(k\/(k*k*k*k**(1\/8))*k*k\/(k**(-22)\/k)) assuming k is positive.\nAnswer: k**(-55851\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 76 (b) -5 (c) -4\/11 (d) 11 (e) -2\/5 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 9. Let o be r\/(-5) - (-3)\/(-15). Suppose 0 = -4*y - 4*q + 120, y - q = q + 36. Calculate the highest common divisor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 6*2*sqrt(66))*-4)\/(-3*(sqrt(42) - sqrt(4200))\/sqrt(7)).\nAnswer: 44*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 i when four letters picked without replacement from izziizzzzzzizizzzzz.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -252, -561, -994, -1551, -2232?\nAnswer: -3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55033*c*s + 8744*c wrt s.\nAnswer: -55033*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v - 2*v)*(5*v + 5 - 5)*(2 + 3*v - 2 + (0 - 5 + 4)*(0 + v + 0)).\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 4483, 4\/77, -2\/7, 0.3?\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**3 + 8*m**3 + 27*m**3 + 64*m**3.\nAnswer: 63*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + s**5 + 2*s**5 + (-s**4 + 3*s**4 - 3*s**4)*(-2*s + 3*s + 2*s) + 0*s**5 + 0*s**5 + s**5 + (1 + 0 + 0)*(-3*s**5 + 2*s**5 - s**5).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, a: 3, j: 5, b: 2, p: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 36. Suppose -3*v + i = -0*v. What are the prime factors of (7\/v)\/(5\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p - 243. Let s be x(-32). Suppose -23*i + 33 + s = 0. Solve 0*k - 4*k = 2*f + i, -4*k = f + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 0, 4142146 in descending order.\nAnswer: 4142146, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15899, -15907, -15919, -15935, -15955?\n\"Answer: -2*i**2 - 2*i - 15895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306921365.\nAnswer: 3, 5, 19, 509521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**3 - 532*h**2 + 532*h**2 + 26*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -29. Let g = -12.2 - -12. Sort -2\/9, g, l in descending order.\nAnswer: g, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 188*l**3 + 796*l**2 + 1012*l + 408.\nAnswer: -4*(l - 51)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40703188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67262806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from nananncnccznznn?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924790 is divided by 18119?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o + 304 = 13*o + 17*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -50*u + 1719. Give y(34).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471094251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:08 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88\/245 + -2\/49. What is the second smallest value in n, 0.03, 3\/2, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/3))**(-26) assuming m is positive.\nAnswer: m**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (sqrt(363) + sqrt(363)*-1 + 1)**2)*1 + (2*1*sqrt(192))**2*-5.\nAnswer: -3841 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.15493 - 0.15493. Which is the second smallest value? (a) -1 (b) 13 (c) -106 (d) h (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682465.\nAnswer: 5, 7, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: c3d946 (base 16) to base 11\nAnswer: 7277261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -724.88521?\nAnswer: 72.488521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -21, -15?\n\"Answer: 6*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*z, 8*r - 4*r = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r. Let a(t) = -t + 2. Let g(m) = -5. Let h(k) = -5*a(k) - 2*g(k). Calculate h(j(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -8*o + 2\/3*o**3 + 3 + 1\/4*o**4 - 2*o**2. Factor u(a).\nAnswer: (a - 2)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 2. Let r(f) = 7*f - 4. Let b(g) = -2*r(g) + 5*v(g). Let k(y) = -y**2 + 8*y + 10. Let n be k(8). Calculate b(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7083420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 573547 and 2886.\nAnswer: 127327434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 14 - 14) + (12 - -3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 84 = -16*s. Let g(y) = 290 + y**2 + 290 - 865 + 295 - 2*y - 4*y. Calculate g(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -1 (c) 15 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1092\/(-1911))\/(1*132\/(-21)))\/((-2)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 132*s**2 - 70*s - 23. Let u be c(-5). Calculate the highest common factor of u and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 5*m**2 + 19*m - 53. Calculate f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:08 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:50 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78524, -157186, -235984, -314912, -393964, -473134?\nAnswer: -552416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b. Let m(c) = 2*c - 8 + 32 + 34 + 16 - 18. Determine m(x(r)).\nAnswer: 22*r + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 51*q + 19*q - 76)*(q + q - q).\nAnswer: -32*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 237730811*b - 222137518.\nAnswer: 237730811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427093603.\nAnswer: 13, 109776431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -89*p - 8103. What is y(-91)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 3*m**3 + 12*m**3 + (0*m**3 - 3*m**3 + 4*m**3)*(1 - 3 + 1).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*i + 3*g, 55 = -5*i + g - 0*g. Let j be (-4)\/22*1 - 35\/i. Let z be (-178)\/((40\/12)\/5) - j. What is z 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 units digit of 41561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (-3*(sqrt(684) - sqrt(684)*2))**2 - (-1 + 4 + sqrt(684)).\nAnswer: 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -124. Let s be (1\/2)\/(2\/8). Suppose -s*w + m = -3, 2*w - g*m + 0 = 2. Solve -2*a = -3*r - 0*r - 16, w*r = -2*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993256577?\nAnswer: 993256577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.6. What is the nearest to 1 in 2, d, -1.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-8))\/((-25)\/(-10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1342.342 seconds?\nAnswer: 1342342000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/19 (b) 2 (c) -5\/4 (d) -21 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5315*a - 3519 wrt a.\nAnswer: 5315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*l + 4 - 3, 10 = -2*l + 4*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -656a1 - -2a9?\nAnswer: -653a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/9 (b) -58 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13065 divide 2633054775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d*d\/(d*d**(-1\/22)*d*d*d))**(-15) assuming d is positive.\nAnswer: d**(1305\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*t**4 + 7*t**2 + 8131*t wrt t?\nAnswer: -948*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = -2. Let b be 1 - ((-13 - -1) + u). Suppose -68 = -2*w - b. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l + 5. Suppose 0 = 4*r - 16. Suppose t + 3*g + g = 0, r*t = 2*g + 18. What are the prime factors of s(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5 - 35)\/4)\/(-1). Suppose 0 = 6*d - p - 14. Solve 0 = d*j - 1 - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2153*i**2*l - 172866*i**2*s + 2*i*l*s - 531*i*l + 8248*i*s + 2*l*s wrt i.\nAnswer: -4306*l - 345732*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 663370.6 nanograms?\nAnswer: 0.6633706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 46*c - 119. Calculate r(48).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3788743l?\nAnswer: 378.8743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/(-24))\/(2\/(-162))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 970548 - 67?\nAnswer: 9704c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 58755.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/16 (b) 6 (c) -174 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00342852817 rounded to 7 dps?\nAnswer: 0.0034285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 1 - (26 + -30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33056822 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:47 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*g - 3*o - 72, 2*o = 0. Suppose 6 = 2*i - g. Calculate the remainder when 45 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19986?\nAnswer: 2, 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -4.02. Which is bigger: -0.04 or p?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1748\/48675 - -2\/4425. Let t(n) = -660*n - 21126. Let r be t(-32). Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83308550 or 583159859\/7?\nAnswer: 583159859\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5\/2))**(-1\/27)*a**(-6)\/a*a*a*a**(-5) assuming a is positive.\nAnswer: a**(-547\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, -11, -72, -157, -266, -399, -556?\n\"Answer: -12*x**2 - x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. Let f(h) = -6*h + 4*h - j*h**2 + 2*h. Let v(y) be the third derivative of y**5\/20 - y**2. Calculate f(v(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:14 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from {i: 5, s: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 662396 + 3?\nAnswer: 662399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*b - 127*b + 139*b - 1413 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103 - 22*i**4 + 31*i**4 - 39*i**4 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 11 = z. Calculate the lowest common multiple of 16 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7*r - 5*r = 12, -5*r - 5 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148326 is divided by 6727?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 11.815 (c) 2\/83 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/9)*w)\/w)\/w)\/w)**(-1\/10)\/(w*(w**(2\/11)*w)\/w*w*w**(-14)\/w) assuming w is positive.\nAnswer: w**(1291\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l - 7 = p, 3*l = 9. Let y be p + 0 + 0 + -6. Solve y*m + 2 = -5*q - 25, -30 = 5*m + 5*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b9 (base 14) to base 4.\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 4*t - 21.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*c - 5 + 7, 0 = 4*r + 5*c + 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = -3. Suppose n*a + 3 = 9. Let g be ((-10)\/4)\/(1\/(-2)). Solve 0 = a*w - g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-26 - -28 - (0 + 6)). Solve y = 3*m - 3, 0 = -t - 3*m + 8 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 84. Let m be n(-28). Let w(a) = 10*a + 2. Let i be w(m). Solve 4*u - 6 = i*c - 4, -1 = -2*c + 3*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 3*g. Let c be n(4). Suppose -5*a = t - 29, 4*a + 5 = -4*t + 41. Let r = t - 1. Solve -3*w - 3*s = -6, r*w - s + c = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -726017, -1452032, -2178047, -2904062, -3630077?\n\"Answer: -726015*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyoooyo. What is prob of sequence yooy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92239, -184402, -276471, -368440, -460303, -552054, -643687, -735196?\nAnswer: -826575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 4, g: 1, p: 1, y: 1}. Give prob of sequence zygp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*o - 10, -11 = 4*o - 4*j + 5. Let p(w) = w. Calculate the remainder when p(6) is divided by 9\/((-3)\/(-1))*o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17126004026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -31*y + 256. Give t(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 13237 = -13387 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = 5*p - 91, -2*p = 3*l - 93. Calculate the greatest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4\/29 (b) -7 (c) -0.1 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) 0.08 (c) -1894\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/21)\/(3\/294). Suppose t + i = 22, 2*t + 2*t + 3*i - x = 0. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 49*z = -11*z + 69*z - 69 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 3*q + 1\/2*q**2 + 1\/12*q**4 + 0 - 1\/60*q**5 - 1\/6*q**3. Let j(t) be the first derivative of p(t). Factor j(r).\nAnswer: -(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.5, 1, 22470, -20, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*v + 10*v - 18*v)*(2 + 0 - 4)*(-2*v**4 + v**4 - 3*v**4 + (-3 + 0 + 2)*(-2*v + 2*v - 2*v**4)).\nAnswer: -128*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:51 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13399 is divided by 1958?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.3, 22, -61, 25\/9?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - a - 28 = -4*q, 8*a - 3073*q + 236 = -3047*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367882*q**3 + 683940*q**3 - 4*q**2 + 683950*q**3.\nAnswer: 8*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.3 and 841?\nAnswer: -7821.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3309600 divided by 3.\nAnswer: -1103200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332033007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14323 - 101?\nAnswer: 14222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**2 - 6*i + 3. What is f(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i - 9. Let a(v) = -7*v + 5. Let n(x) = -3*a(x) - 4*t(x). Calculate n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59706 less than 55674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3333 - 3331. Let x = -0.12 + -0.36. Let f = x - -0.1. Is g < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288 - -967. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-14 + (2 - -4) - (-3 + 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6327 + 17142. List the prime factors of f.\nAnswer: 3, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 15*v**2 + 11*v - 179. Let x be j(14). What is the highest common factor of 874 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (78 - -11 - -6 - 12)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*l = -18, 11*s - l = 9*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 36 = -3*i, -5*i + i - 59*o - 43 = -62*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 3949*b\/2 + 12819045\/4.\nAnswer: (b + 2283)*(b + 5615)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 + 206. Let b be (-20)\/a - (-8)\/((-1)\/(-1)). Solve -b*i - 24 = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/14)\/(40\/(-140)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.445921 meters to kilometers.\nAnswer: 0.003445921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(3*b - 4*b + 3*b) - b - b + 0*b - 3*b + b - 3*b - 2*b + 9 - 3*b - 7.\nAnswer: -14*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 182 = -l. Solve -15*n = -l*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6840 and 49704.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9284431 months in millennia?\nAnswer: 0.000244036925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -10*m + 2. Suppose -m*z + i = -1278, 12*i - 8*i - 311 = -z. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 + 3*y - 52. What are the prime factors of r(13)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000617677 to five dps.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 9*r + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817504 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, i: 4}. Give prob of sequence ci.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -424464.7500021 + 424462.75. Let c = -2 - z. What is c rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-39)*f**3)\/(f**(-2\/15)*(f*(f**(1\/33)*f)\/f)\/f) assuming f is positive.\nAnswer: f**(7112\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 80*m. Let k(y) = 57298*y**2. What is k(d(c))?\nAnswer: 366707200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 - 7*m**2 - 33*m - 12. Let o be d(-7). Let k = 3187 - o. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 225\/2, 3, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b*b**(-2\/17)\/b*b)**(3\/19) assuming b is positive.\nAnswer: b**(-261\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 2 + 2)*(6*a - 2*a - 3*a) - 1 + 1 + 2*a**2 + 77*a**2 - 16*a**2 - 3*a + 0*a + 3*a to the form o + l*a + p*a**2 and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 12211?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6140044*p**2 + 12279585*p**2 - 6139526*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 784.09 and -0.25.\nAnswer: -196.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.7 + -12.4. Let b = f + 1.2. What is the closest to -2 in -0.4, 9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -492 + 9350\/19. Suppose -5*q + 3 = -2*s, -2*q + s + 2*s - 1 = 0. Is h less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 d when three letters picked without replacement from {v: 2, e: 1, d: 3, n: 1, b: 1, t: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = 5. Let u(h) = 4 + 3 - 8*h - 6 - h**2. Determine u(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45944 (base 10) to base 11\nAnswer: -31578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (123 - 117)\/(2 - (-7)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ca (base 15) in base 2?\nAnswer: 1001100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 521241 + 0?\nAnswer: 521241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24066, -48123, -72178, -96231, -120282?\n\"Answer: l**2 - 24060*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144a6 (base 15) to base 7.\nAnswer: -361014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*q - 119*q = -370. Suppose 4 = 4*w - 116. What is the greatest common divisor of w and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Let f = 10 - k. Suppose -3*r - 13 = -6*r + f*i, 0 = -4*r - 5*i + 29. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 - 2*d**2 + 9*d - 6. Let z be v(1). Suppose z*c + 21 = -29. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1026884, -1026879, -1026874, -1026869?\n\"Answer: 5*z - 1026889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 949 and -80.\nAnswer: -75920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -4.14. Let k = u + -0.9. Put -4, 4, k in increasing order.\nAnswer: k, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37211580 and 86827020.\nAnswer: 260481060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s + c - 43 = 0, 4*s + c = 34. Suppose 3*v + 8 = -4*t - 0*v, 4*t = -5*v. What is the smallest common multiple of 488\/10 + (9\/t - -2) and s?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 133 - 252 - m**3 + 121.\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -31. List the prime factors of (1*63)\/(q\/16).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4809 - -4809.15. What is the nearest to q in -2\/19, 2, 3\/7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100001000111 (base 2) to base 3\nAnswer: 22112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = -0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) -33\/7 (c) -2\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 0*u**3 + u**5 + u**5 + u**5 + 6*u**5 + (4 - 6 + 1)*(-5*u**5 + 3*u**5 + 3*u**5) - 2*u**2 + 2*u**2 - 2*u**5.\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/20 - 5*s**4\/6 + 4*s**3\/3 + 5*s**2 - 153*s. Give b(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 6*q**2 + 3. Let w be g(6). Let z = -8 - -12. Solve 27 = -z*i - w*o, 3*i + 3*o + 25 = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1810a973b + 1?\nAnswer: 1810a9740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30103331 - 1201?\nAnswer: -30111132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -47. Let k be (21\/(-5) - a\/(-10))*-5. Let b(z) = -k*z + 2*z + 10*z. Let n(g) = -18*g**2. Calculate n(b(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 113340?\nAnswer: 113334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/6 and -23\/1340?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/594 and 83\/1452.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-6)*140\/21. Suppose -z = 9*z - g. Let j be ((-9)\/6)\/(1\/(-2)). Solve -2*n - j = z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:16 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (9 - (-2 + 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112011020002102 - -11?\nAnswer: -1112011020002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*k = 35, 16*f - 4*k = 17*f - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1125\/675*4\/(-10)*24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/21))**1)**(-22) assuming n is positive.\nAnswer: n**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 6. Let x be n(11). Suppose 11 = -2*t - w + 42, 3*t - 79 = x*w. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105699394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) + 0 - 5355021\/(-63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*b**3 + 4 + (-2*b + 2 - 2)*(6533*b + 4152*b**2 - 6533*b) to z*b**2 + k*b**3 + y + t*b and give k.\nAnswer: -8302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4640 and 33205?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**3 - 23. Let t(h) = 0*h**2 - 70 - 48*h**3 + 0 + 0*h**2. Let v(q) = -17*l(q) + 6*t(q). What is the derivative of v(d) wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {z: 2, v: 2, r: 1, p: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**6\/15 - c**4\/6 + 6*c + 7. Let z(o) be the first derivative of j(o). Solve z(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 1420*u**2 - 8576*u - 11456 = 0. What is u?\nAnswer: -4, -2, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 16589.833808 to the nearest integer.\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/6 - o**2. Let a(l) = 0*l + 0*l + 2*l - l. What is t(a(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 224?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2021329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 680991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**4*j*t - 3628*f**4*j + 3*f*j + f*t + 766*t wrt f?\nAnswer: -12*f**2*j*t - 43536*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144079.\nAnswer: 13, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -249 + 248.9509. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/5 - 78208*s**2\/5 + 15083652*s\/5 = 0. Calculate s.\nAnswer: -19743, 0, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-12))\/((-1)\/(-4) - 0). Let n be g\/60*-8 + (-4)\/(-3). Let q(v) = -v**2 + 2*v - 2. Determine q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01408 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119030833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100450944 by -2790304.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**4 + 2*p**2 + 2*p - 35. Let s(q) = 7*q**4 - 9*q**2 - 9*q + 139. Let g(n) = -9*a(n) - 2*s(n). Differentiate g(c) wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*i + 3*l + 8, -5*i + 26 = -2*l. Calculate the highest common divisor of 28 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134, -169, -204, -239, -274?\n\"Answer: -35*q - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let a(v) = -71*v + 568. Let m be a(8). Solve -d*r = -m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -36*f**2. Let k(r) be the first derivative of 1 + 1\/3*r**3 + 0*r**2 + 0*r. Calculate y(k(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 + 17 + 42*h**2 - 17 to k + c*h + x*h**2 and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1976 - -493\/1976. Let k be (4 + -3)*1\/(-3). Which is the closest to 0.2? (a) o (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/((-28341)\/67))\/((-2)\/450)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*k = 17 - 0, w - 4*k - 11 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19585 - -19589. Let z(v) be the second derivative of 0 - 1\/48*v**h + 0*v**2 - 1\/4*v**3 - 2*v. Suppose z(y) = 0. What is y?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 94 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3*(-18)\/1. Let q be (3 - (-693)\/w)*2. Suppose 6*h + 15 - q = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6*f = -18. Suppose 0 = -f*p + p + 38. Does 12 divide (-9)\/(p\/(-16) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 379.002817 to 1 decimal place.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320971.765 rounded to the nearest 1000?\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2921, -2919, -2917, -2915, -2913?\n\"Answer: 2*l - 2923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -409 (base 16) to base 12\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -5 (b) 0.05 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(500) + 1 + sqrt(500) + 5)**2.\nAnswer: 440*sqrt(5) + 2121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 3*n + 0 - 6*n**2 - 1\/2*n**3. Does 9 divide b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3504*s**3 + 22*s**3 - 6333*s**3 + 11835*s**2 wrt s.\nAnswer: -58890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 + 548 = 4*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518.069 rounded to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 56. Let h be 6\/7*616\/66. Let p be z(h). Let y(c) = 13*c + 0 - 14*c + p. Let k(a) = -46*a - 2. What is k(y(i))?\nAnswer: 46*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -20*j - 4. Let b be -1*7 - (-6 - -4). Let v be k(b). Suppose -3*f + v = -f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3 + -1 + sqrt(125))*-3*3)**2.\nAnswer: 4860*sqrt(5) + 13041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3*8\/(32\/(-12)). Let k(b) = 26*b**2 + 3*b - 5. List the prime factors of k(c).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 10. Let x be b(12). What is the common denominator of 2\/x + 124\/(-56) and 8\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2691.99054 - 2692.4. Let p = 0.41 + m. Round p to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Suppose 24 = -n*g + g. Let o = -15 - -28. Calculate the remainder when g is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1188 + 1226. Suppose 5*n - 5*h = -2*h + 362, -2*n + 2*h = -144. Calculate the remainder when n is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 3?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -1042?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/((-9)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = -2*t + 5*t, 0 = 3*t - 4*l - 19. Suppose 0 = 2*b + 4*h - 4, 3*b + 49 = t*b - 5*h. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137045655*n - 174739061.\nAnswer: -137045655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-181 - -184)\/(((-12)\/(-22))\/(-8 - -4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 107408 divided by 56\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4 - 8*h**3 + 1 + 17*h**3 + 2*h - 12*h**3 - 4*h**2. Let a be q(-3). Solve 0 = -3*t + 21 - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/9, -2, -9, -5, 5 in descending order.\nAnswer: 5, -11\/9, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5555 - 2776 - 2779 - 1350*m to b*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*f - 3*j + 1, 3*j + 1 = -f. Suppose 3*b = 13 + f. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 - -126. Let i(y) = y**2. Let u(z) = -2*z**3 + 7*z**2. What is c*i(w) + 3*u(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = 16. Is g\/2*53\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-12))\/((-39)\/(546\/(-7)))*-3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n**3 + n**2 - n - 1. Let q be m(-1). Let c = q - 22. Find the third derivative of 4*s**2 + 10*s**6 + 2*s**3 - 2*s**c wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -47. Let y be (-10)\/t + 0\/(-5). Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/19135 and -49\/2403.\nAnswer: 516645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*j - 12 = 4*t, -2*j = 5*t + 13. Let z(q) = 1. Let y(i) = -i + 3. Let s(k) = t*y(k) - 3*z(k). Calculate the remainder when 53 is divided by s(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*w = -3, 0 = -w + 3*w + 8. Let g be 5\/z + 4\/4. Let y(q) = -q**3 - 4*q**2 - q - 2. Let u be y(g). Let d(s) = 2*s**2 - 2. Determine d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**32)**(-16)*(i**6*i**(-3\/2)\/i)**7 assuming i is positive.\nAnswer: i**(-1705\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -97*b - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {c: 3, s: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -322766*n**3 + 341480 wrt n?\nAnswer: -968298*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 + (-15 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {v: 5, z: 2, u: 4, i: 4, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393919 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 58. Suppose -h - 5 = -6*m. Let l be 1\/(0 + m\/10). Solve -3*x - 14 = o - 8*x, -l*o + 3*x = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -265032 - 3?\nAnswer: -265035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c + 1. Let g be (-40)\/6 + (-10)\/30. What is d(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186844 - -19244650\/103. Is o greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3 - 2*b + 3. Let k be 30\/12 - 2\/(-4). Let t(x) = -7*x**2 + 5*x**2 + 3*x**2 - k*x**2. Determine t(o(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:25 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926 minus 9.738?\nAnswer: -2935.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(19 - 3). Let q = h - 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755711 is divided by 385.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164668, 212, -4 in ascending order.\nAnswer: -4, 212, 164668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffgf when four letters picked without replacement from fxgxfff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*z + 58 = 0, -104 = 15*m - 19*m - 4*z. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 67 (c) 5\/12 (d) -1\/5 (e) 2\/7 (f) -1 (g) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17)*-2 + 6*(0 + sqrt(17)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1684120 and 140455608.\nAnswer: 702278040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 5) in base 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/7 - 2139724*r**2\/7 - 286167222016*r\/7 - 4292026905840\/7.\nAnswer: -4*(r + 15)*(r + 267458)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1597 divided by -1\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:19 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 208 = 2*q. Suppose 180 = -9*m + q*m. What is the remainder when m is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 9.96. Let j = o + 3.04. Which is the second biggest value? (a) -3 (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(2820\/(-24))*(5\/4)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (25\/5)\/(1210\/44)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4035 and 4785?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1)\/((-6)\/(-1)). Let u = -159 - -174. Let j = -585\/38 + 31\/2. What is the fourth biggest value in -5, u, o, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3269*p - 3265*p + 36, 0 = -2*h + 2*p - 6 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - v = 8, -2*u = -3*u - 5*v + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30961*n**3 - 29*n**2 - 101540*n?\nAnswer: 185766*n - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 5 - (-1 + 0). Calculate the common denominator of 2\/(-28) - 2\/a and (-48 + 120)\/(-9) + 62\/20.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7*y + 2. Let t be k(-7). Solve t*m - 10 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 327*n + 6. Let k be c(6). Suppose -552*f + k = -546*f. Does 41 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 36*c**2 + 16*c - 48.\nAnswer: -4*(c - 3)*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 6772?\nAnswer: 6771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(25\/60). Let j(g) = -8*g + 8. Let c(n) = 7*n - 7. Calculate y*j(k) + 7*c(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/30)\/(9\/(-10)). Which is the second smallest value? (a) 3 (b) m (c) 1 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9251 + -9249. Determine o, given that -22\/7*o**5 + 4\/7*o**4 - 8\/7*o**q - 22\/7*o + 4\/7 + 44\/7*o**3 = 0.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(119)\/sqrt(7) + 5)*-6)**2.\nAnswer: -360*sqrt(17) + 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029785 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/331451642 and -21\/22.\nAnswer: 3645968062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 2*k)*(k - 3*k + 0*k) + 2*k**2 - 23*k**2 + 3*k**2 - 2*k + 2*k - 3*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 14*z + 7. Let v be g(14). Suppose -5*j + v*n + 2430 = 2*n, 3*n + 3 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)\/(2 + -1). Let w(r) = -3*r**3 - 4 - r**2 + 3*r**2 + 2*r**3 + 4*r. Let y be w(3). Is v at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -3*z + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80847102*q**3*s**2 + 2*q**2*s - 39014164*s**2 wrt q.\nAnswer: -485082612*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -114?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 - 6*a + 4. Let k(w) = -5*w**3 - 20*w**2 + 31*w - 19. Let l(v) = -11*b(v) - 2*k(v). Let g be l(-5). Does -1\/7 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5922232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31301 - -20202?\nAnswer: 112103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -34 + 28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101010 (base 2) to base 14.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -1 - 5. Let q(t) = -t + 6 + 5*t**2 - l*t - 4*t**2. Determine q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4011279688 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23 + -0.33. Let b = 0.011 + 0.509. Let w = -0.32 + b. What is the biggest value in m, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3 - 6. Suppose 2*p + 3 = h*p + 2*d, -13 = p - 2*d. Calculate the remainder when (-22)\/6*(-8 - p) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-11 - -4) - 3. Suppose z + 2*o = -d*z + 14, 0 = 2*z - o - 8. Solve -6*i - z = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3212, 12902, 29054, 51656, 80696, 116162?\nAnswer: 158042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 - 4*h + 5. Let z(w) = 3*w**3 - 5*w + 6. What is -6*y(k) + 5*z(k)?\nAnswer: -3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 25. Is y(0) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262512.3ml to litres.\nAnswer: 262.5123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 8*n**2 - 4*n - 17. Let q be d(-8). Solve 3*m = -3*v - q, 0*v - 2*m - 6 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-18) - (-1)\/3. Let m = 4797 - 4796.5. What is the smallest value in u, m, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*v - 1, 25*v = -3*t + 7*v - 63. Solve 6*u - t*u + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(5 - 5 + 11*p**2) + (-2 + 2 - p**2)*(-2 + 0 + 3) in the form w + k*p + x*p**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319.8 - 320. Let q = 1 + -4. Which is the nearest to 0.1? (a) q (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from euequeuquuueqqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9563508500 rounded to the nearest 1000000?\nAnswer: 9564000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3022512124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 199313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35592978 a multiple of 1181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47\/4 of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -44, -111, -214, -359, -552, -799, -1106?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5799370 and 433846.\nAnswer: 284169130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z - 55. Suppose c - 2*o = 3, c - 4*o - 3 = -o. Let n(f) = 7*f + 28. Let i(x) = c*a(x) + 5*n(x). What is the units digit of i(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 533949232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99286*b**2 - 24746*b wrt b?\nAnswer: -198572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2)*4)**2 + sqrt(2) - (-4 + sqrt(18)) - ((sqrt(882)*-1 + sqrt(18))\/(sqrt(81)*-4))**2.\nAnswer: -2*sqrt(2) + 583\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u - 91. Let r(g) = -5*g - 88. Calculate 6*d(i) - 5*r(i).\nAnswer: -17*i - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 549\/45 - (-52)\/90?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10240 and 0.2?\nAnswer: 10239.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10465571 (b) 4\/3 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 268355, 268776, 269479, 270464, 271731, 273280?\n\"Answer: 141*r**2 - 2*r + 268216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205119*y - 102766*y - 2 - 102793*y.\nAnswer: -440*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-448)\/(-56)*4\/(-96)*-4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 56*n**2 - 317*n - 73. List the prime factors of v(-35).\nAnswer: 2, 41, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3116065 rounded to four dps?\nAnswer: 0.3116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l - 1. Determine k(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (1 + -20 + -462 + 430)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-66)*32*(-9)\/(-36).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1 - (-1 + -1). Let m be k\/(-2)*0\/(-2). What is the derivative of -4*p**4 + 1 + 6*p**4 + m*p**4 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 567.1 - 526. Let u = f + -41.10000905. What is u rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3555 - 3535. What is the remainder when p is divided by 3\/(17\/4 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343010588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194 by 589.\nAnswer: -194\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 477*d**2 - 832*d - 2. Give i(1).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from oroooooroo?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k**2 - 3*k**2 - k**2)*(1 + k - 1) + 14*k**3 - 11*k**3 + 32*k**3 - 5*k**2 + 5*k**2 - 7*k**3 in the form o*k**3 + c + w*k**2 + z*k and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 6*l + 2. Suppose 0 = 4*g + 16 + 16. Let w = -13 - g. Give t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/19, 0, -7, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1310*p + 64 + 71 - 182 + 53 to n + g*p and give g.\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 <= -1595\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.151, -1\/6, 5, 1\/212 in descending order.\nAnswer: 5, 1\/212, -0.151, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -2577636?\nAnswer: -2577650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31213 + 5?\nAnswer: -31205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6268 = 3*v + 5*o, -5*o = -5*v + 6080 + 4340. Let l = v - 1179. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0917 rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.02 rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/(f*(f**(-9)\/f)\/f))**(20\/9)*(f**(4\/11)*(f*f\/(f**(-2\/5)*f))\/f)**34 assuming f is positive.\nAnswer: f**(21652\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let x be s(4). Let u be -4 - ((-2)\/x)\/(12\/(-96)). Solve u = -t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -53, -152, -301, -506, -773, -1108?\n\"Answer: -l**3 - 16*l**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242394 is divided by 440.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 352691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25651 and 87?\nAnswer: 2231637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7587, 6271, 4897, 3453, 1927?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -305567\/22 + 13894. Find the common denominator of 93\/2 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -60, -122, -202, -300?\n\"Answer: -9*r**2 - 17*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86929 or 85992?\nAnswer: 86929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1274 + 1274. Which is the closest to -2? (a) -0.2 (b) -0.4 (c) 1\/4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20687541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 4, 0, 0.1, 15\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*d + 4, -3*s - 82*d + 84*d = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5288 and 61908?\nAnswer: 81842376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101011101000 (base 2) in base 6?\nAnswer: 255424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-17))\/((-286)\/(-39)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - 10 - (17 + -10 + -48 + 23)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11934.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 + 4*h - 5. Suppose -2*y + 7*y = -455. Let g = 95 + y. What is n(g)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 2*c = -12*v - 1, 5*v = 2*c + 13. Let p(t) be the first derivative of -t - 1\/4*t**4 - 3\/2*t**2 - t**v - 6. Factor p(q).\nAnswer: -(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(4 - 75\/20). Let j(g) be the second derivative of -1\/27*g**4 + 1\/9*g**2 + 0*g**3 - h*g + 1\/135*g**6 + 0 + 0*g**5. Factor j(k).\nAnswer: 2*(k - 1)**2*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = -3. Let y be ((-4)\/i)\/(8\/12). Is 34 - (-1 + 2)*y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttpttppttttttpptt. What is prob of picking 2 p?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -22, -20, -12, 2?\n\"Answer: 3*j**2 - 13*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -11?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -93, -163.622, 3?\nAnswer: -163.622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and -3 + (4 - (-3 + -3)).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:23 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 208261\/3 - 19\/57. Suppose 19*f + 9627 - z = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*u - 2665*u**2 + 151*u + 150*u - 460*u)*(2*u**3 + u**3 - 5*u**3).\nAnswer: 5330*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1276\/957 - 3\/(297\/186)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-6300)*-3)\/(((-1)\/5)\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + c = 9, 2*c - 3*c - 11 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1d?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327253188 to the nearest integer?\nAnswer: 18090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35282, -35296, -35310?\nAnswer: -35324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447447923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 296*t - 13297. Calculate y(45).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**2\/2 + 8*o + 4589. Let s = -8 + 12. Suppose -s*b = 24 + 4. Determine f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167330 = -2*q + 5*x + 20675, 3*x = -2*q + 187997. What is q rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*d + 234. Let o = d + -36. Suppose 4*p + o*t - 30 = -5, -10 = 2*t. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 12) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 25. Solve -3*g + 0*g = -h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5abc - -5?\nAnswer: 5ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -8\/7 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 9. Let x be u(5). Suppose 269 = 3*a + x*z + 12, 0 = 5*z + 5. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261501 times -0.4?\nAnswer: 104600.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/3)\/108)\/((-1)\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 11*b**2 + 0*b - 11\/24*b**4 + 17\/6*b**3 + 0. Differentiate g(u) wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 8, z: 1, o: 6}. What is prob of sequence ooh?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60687 (base 15) in base 14?\nAnswer: 7d33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15822 = 476*f - 73190. Calculate the greatest common factor of 352 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 2. Let w be n(2). Suppose 4*h - 12 = 2*o, 0 = -2*o - 3*o. List the prime factors of w*h\/6 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291617.\nAnswer: 23, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -32.6. Let q = 16 - l. Which is the second smallest value? (a) q (b) -6\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/98 - -1*(-2280)\/(-14). Suppose 137 + m = 3*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 91*r - 344. Give i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0. Let s = 63 + -57.7. Let d = -2.7 - s. Which is the smallest value? (a) d (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 31. Let n = -17 + m. Let s(g) = 4*g**3 + 4*g**2 - 4*g + 2. What is the remainder when s(2) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -60 + (-1 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 - 4*c**2 - 16*c - 137 + 4*c**2 - c**3 to f + l*c**2 + b*c**3 + x*c and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14)*217\/(-93)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/7)*b*b)**(-20)*(b**(-1))**(-50) assuming b is positive.\nAnswer: b**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*-3*3*((sqrt(539) - (sqrt(539) - (0 + sqrt(539)*-1))) + sqrt(539) + sqrt(539) + sqrt(539) + (sqrt(539) - -3*(sqrt(539) + sqrt(539)*-1))))**2.\nAnswer: -7560*sqrt(11) + 6286921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -4*h, -h - 5 = -3*i + 2*i. Let l = -21.5 + 22.5. What is the nearest to l in 2, h, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-195)\/(-10)))\/(2\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 68*f - 74*f - 4 + 8. Let a(j) = -4*j**2. Give z(a(s)).\nAnswer: 24*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**2 + 282*j**3 - 12*j**2 + j - 13*j**2 + j**2.\nAnswer: 282*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11927*y**4 + y**2 + 3349*y - 2.\nAnswer: 286248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 6. Let s be v(8). Let d be 21\/(-35)*s\/(-9). Let q = -78\/979 + -1\/89. Which is the closest to 0? (a) q (b) d (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31147191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8*c = 0. Let u(b) = -b**2 - b - 21. Let k be u(c). Let g = k - -37. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 17 - (1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 12*f**2 - 11*f - 4. Let j(i) = -5*i**3 - 13*i**2 + 12*i + 4. Let s(c) = 5*j(c) + 6*y(c). Let k be 10 + -1*(4 - 0). Calculate s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 528747, 2115082, 4758983, 8460456, 13219507, 19036142?\n\"Answer: v**3 + 528777*v**2 - 3*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(18 + (-272)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**3 + 2*s**2 + 108*s + 406. What are the prime factors of y(-4)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1032 + -27860\/27. Let t(b) be the third derivative of -15*b**2 + n*b**3 - 5\/108*b**4 + 1\/270*b**5 + 0*b + 0. Find u, given that t(u) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 1 + 1 + 0*t - 286*t - 90 + 90 + (-16 + 16 + 3*t)*(1 - 4 + 2) as v + u*t and give u.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 343 - 71. What is the third derivative of -78*o**2 + 58*o**4 + 3*o**2 + n*o**4 + 3*o**4 wrt o?\nAnswer: 2568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.492921 less than -2?\nAnswer: -0.507079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:17 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-3))\/((1 - -133) + -5). Which is greater: -1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*43\/((-19608)\/288)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -14, 14, -10582 in decreasing order.\nAnswer: 14, 2, 1, -14, -10582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6)*(-2*z + z - 2*z) + (-z + 3*z + z)*(0 + 3 - 2 + (-5 + 1 + 2)*(2 - 2 - 1) - 1 - 4 + 0).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21966492 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: Let q(h) = h**3 - 10*h**2 + 5. Calculate the lowest common multiple of 5 and q(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-860))\/((-2082)\/(-41640)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxqqmjjqzomjqz. Give prob of picking 1 o and 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7122 and 64291481.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 60966.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 18 + -1 + 21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2618, -2614, -2610, -2606, -2602, -2598?\nAnswer: -2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0400281594 to 3 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712146585.\nAnswer: 5, 542429317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 4. Let r be j(8). Solve -r*v - v = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -7, 3, 5 in descending order.\nAnswer: 6, 5, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285305222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427\/(-244) - 34398\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -914*w**2 - 21*w + 2*w**3 + 0*w + 918*w**2 + w**3 - 5*w**3 in the form i*w**2 + f*w**3 + x + n*w and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 447 - 452. Let u = -0.06 - -1.06. Let v = -0.067 + 0.467. What is the closest to u in t, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f2a (base 16) in base 4?\nAnswer: -2330222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 - 118124*q**3 + 118105*q**3 - 6*q**4 - 2*q + q**2 - 1 to w*q**2 + t*q + h*q**3 + u + z*q**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89935, -88375, -86815, -85255?\nAnswer: -83695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ba6 - -23?\nAnswer: -1b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 6*r**2 + 18*r**2 - 6*r**2 - 10*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 12*f**2 - 3*f + 3. List the prime factors of m(-12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9063 and 158046?\nAnswer: 9008622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k + 15, -5*u = -5*k. Let q(p) = -55 - 2*p + 27 + 55. Let g be q(14). Sort u, 2, g in descending order.\nAnswer: 2, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/(86\/301)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 8 + 8, 2*l = -2*g. Let i(n) = -n + 1. Let o be i(6). What is the smallest common multiple of g and (-4)\/(-10) - 88\/o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228786 is divided by 56268.\nAnswer: 3714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Let k = w - 0.2. Sort 1\/4, 0, k in descending order.\nAnswer: 1\/4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34497 - -0.07197. Let r = -0.093 + 0.166. Let y = f + r. Which is smaller: -14 or y?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/35 in -5\/3, -891, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 9*c - 3. Let h be f(-5). Let k = h + 8. Let g = -4\/19 - 7\/57. Is k not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1067 and 50017.\nAnswer: 4851649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150907760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 2*w. Let o(b) = b**3 + 35*b**2 + 2*b + 49. Let r be o(-35). Let h(v) = -30*v**2 - 21*v. Calculate r*t(c) + 2*h(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152259537.\nAnswer: 3, 50753179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 39 = -71 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2)\/(-1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 9 = -11*x - 2*w, -4*w + 51 = 5*x. Solve 0 = 2*b + 1 - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7016959 less than 21625?\nAnswer: 7038584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*s**3 - 22347*g**2*s**2 - 3*g**2*s - 28*g*s**3 + g*s**2 + 9*g + 4*s**3 + 3*s**2 wrt g?\nAnswer: -2*s**3 - 44694*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125905 and 13411840.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/25*-5*422\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*i**2*z - 2*b**2*i*z**2 - 4*b**2*i + 2*b**2*m + b*i*m*z**2 - 23*i**2*m*z + 2*i**2 wrt m.\nAnswer: 2*b**2 + b*i*z**2 - 23*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmvs when four letters picked without replacement from {m: 5, s: 2, v: 8}.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-3)*(-45)\/12. What is the remainder when -1*2*115\/c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/4, -0.3, -5, 9117?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8903*v**2 + 10 - 8.\nAnswer: 8903*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 9258654*t**3 = 0.\nAnswer: 0, 3086218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/7 - 18*v**3\/7 + 8*v**2 - 72*v\/7 + 32\/7.\nAnswer: 2*(v - 4)*(v - 2)**2*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 42, 2513 in increasing order.\nAnswer: 42, 71, 2513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3516 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 12. Let b(y) = 6*y + 13. Let f(n) = 2*b(n) + 3*z(n). What are the prime factors of f(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3995*j**2 + 3995*j**2 + 77*j**4)*(-20 + 47 - 23).\nAnswer: 308*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2 + 5*i + 8. Let h(k) = -7*k**2 + 6*k + 8. Let t(v) = -4*h(v) + 3*p(v). Let z be t(-1). What is the third biggest value in 1\/6, z, -7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -4, -2, 2, 8, 16?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30043463 (base 8) to base 2\nAnswer: -11000000100011100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444732207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 36 = b - 2*l, -95*b + 8*l + 437 = 5*l + 3278 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -533.828729 + 533.7. Let h = -0.129 - w. Round h to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/2 + 2*v**2 - 25*v. Suppose 35 - 45 = 5*i. What is the units digit of k(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 10. Let w(m) = 1. Let t be 45 + -46 - -1*(-2 + 2). Calculate t*l(g) - 5*w(g).\nAnswer: -g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t + 15. Let l be w(0). Solve 0*r + 5*r + l = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 7. Calculate the lowest common multiple of y(-6) and ((-33)\/(-15) - 1)\/((-5)\/(-25)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 + -3132.929303\nAnswer: -3133.399303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6450056771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84841*c**2 + 42412*c**2 + 6 + 42454*c**2 - 110 to l*c + g*c**2 + k and give k.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-42)\/20)\/((-1)\/(-2)). Which is the third smallest value? (a) 2 (b) 3 (c) y (d) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -761 divided by -5?\nAnswer: 761\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 23\/60*d**5 + 0*d**7 + 0*d**3 + 0*d + 0*d**4 + 0*d**6 - 1\/168*d**8 + 0 - 16*d**2. Find the third derivative of f(p) wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 2*r + 0*r - 6*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + w = 1509, 5*j - 2010 = j - 2*w. Let x = j - 505. Sort 4, x, 5.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6294 < -6296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 - 0.071. Let p be 258\/15 - -3 - (-3)\/(-15). Let f be ((-48)\/p + 2)\/(9\/(-5)). Which is the nearest to l? (a) f (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17057 is divided by 1124?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-28)\/(-16))\/(54\/(-48))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 1 + 0)*(0 - 2*c**2 + 0).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -3770?\nAnswer: -150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104449254 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977 + 3748*b - 976 - 3767*b.\nAnswer: -19*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 32*m + 4*p - 1759580, -2*m - p = -879785. Round m to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/9 (b) -3 (c) -2\/37 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*n - 13*n + 37*n)*(2*n - 7*n + 0*n)*(5*n**3 - 2*n**3 - 4*n**3).\nAnswer: -535*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 0)\/(-2) - -3. Let w = 2 + 3. Suppose 4*z - 7 = 4*n + 33, -5*n = w*z. What is the highest common divisor of v and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -29. Let b = 0.3658 + -26.4758. Let w = b + p. What is w rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 63598125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -2\/197, -2\/19, 0.02, -2\/13, 3, -1?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:30 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**4 + 0*h**2)*((-1 + 0 + 2)*(2*h - h - 2*h) - 5*h + 2*h + 0*h + (-2 + 4 - 1)*(3*h + h - h)).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*s - 36 = 0. Calculate the common denominator of ((-4)\/s)\/(520\/(-2613)) and -69\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 8745005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) 21 (b) -4 (c) -2\/15 (d) -0.04 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12 - 5*w - 66*w**2 + 10 + 24 + 68*w**2 + 30. Is n(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by 209980.\nAnswer: -71\/104990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 97. Suppose -w = 3*o + 16. What is the tens digit of (65\/o)\/(-1 - 9\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4269)\/5692*(32\/150)\/(6\/5). What is the nearest to -1\/3 in -2\/19, g, -31?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 v when three letters picked without replacement from {n: 3, s: 2, v: 4, c: 6, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66913 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b\/b**0)\/(b\/(b\/(b\/b**(-3\/2))*b))**(-1\/14) assuming b is positive.\nAnswer: b**(199\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*l**2*n + 5*f**2*l + 2*f + 45*l**2*n wrt f?\nAnswer: -6*l**2*n + 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - j - 3*j = 0, -3*j = -5*m + 24. Suppose -4*z = 2*g - 6, -2*z = z + 3*g - 3. Suppose z*q + 14 = m*q. Solve -5*n - q + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 8. What is s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408253 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*w - 2, 0 = -2*d + 5*w - 52. Suppose -3*g + 5*q - 30 = -305, -5*g + 2*q = -433. Let u = g + d. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053544 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: Convert -1 (base 9) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15341 - 15341. Which is the nearest to r? (a) 2\/15 (b) 0.06 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 12*k**2 - 1. Let t = -2 - -3. What is the units digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826 = 8*w - w. Let r = w - -171. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821 is divided by 232?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:47 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35621 and 1393.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 146084850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*i**6*o**2 - 5*i**4*o**2 - i**2*o - 29*i*o**2 wrt i.\nAnswer: -2520*i**3*o**2 - 120*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 51*o + 59. Calculate f(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*j + 13*j. Let h = 26 - 129\/5. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x - 14. Suppose 17*a = 33 + 154. Let w(m) = -a*m - 4 + 6 - 14 + 21. Calculate 5*g(h) + 8*w(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(5\/5)*(-2)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 888 + 12260?\nAnswer: 13148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -47*s**2 + 12*s - 6. Let i be j(-2). Let v = i + -77. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, w: 3, p: 5, q: 5, k: 1, n: 1}. What is prob of sequence rp?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136 + -145 + (-3 - -1) + 16 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*n + 5*w, -n + 5*w + 15 = 3*w. Solve -59 = 16*u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 14, z: 1, j: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 + 0*h**5 - 4*h**5 + (17*h**3 - 32 + 32)*(57*h - 57*h + 24*h**2).\nAnswer: 410*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 10:58 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -200. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 36 (c) -60 (d) 1\/6 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 1350820688.\nAnswer: 1350820687.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19708794 divided by -1407771\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t + 30. What are the prime factors of d(7)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 34?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21111221 + 200?\nAnswer: -21111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-10 - -2 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(48)\/sqrt(4)))\/(sqrt(567) + (sqrt(567) - (sqrt(567) - 1*sqrt(567)))))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 2*u + 2. Let h be b(2). Solve -5*o = 5*r - h, -2*o = -r - o + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63105 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24068405 divided by 5?\nAnswer: 4813681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*q - 5*q. Let g = q - -22. Find the second derivative of 4*r + 5*r - 5*r + g*r + 5*r**2 wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20970891 and 10?\nAnswer: 209708910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -53*i + 553. Let v(y) = 17*y - 184. Let a(g) = -11*v(g) - 4*z(g). Differentiate a(w) wrt w.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 2*h. Let c(t) = t**3 - 2*t**2 + 4*t - 10. What is the remainder when c(3) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -w - 19 - 16, -2*q - 18 = 2*w. Let c = q - -10. Let b(v) = v + 1. Calculate b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 10*r**2 - 8*r + 1. Let v be z(9). Let n be 3\/(6\/v) - 2. Solve -4*d - 5*b = -37, -b = -5*d + n*d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*h**3 + 6*h - 6*h - 633*h**3 + 2296*h**3 - 752*h**3.\nAnswer: 164*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - 2. Is (-1800)\/f - (-4)\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 865\/5017*29*1*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.074, -0.74, -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20090 - -22202. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -4)\/(9\/(-6)). Let r = 6.3 - 3.3. Let s = 274 - 274. Which is the nearest to s? (a) -1\/5 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 + n - 6. Give z(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/3 + 4391*d**2\/3 + 74894*d\/3 + 61712 = 0?\nAnswer: -14, -3, 4408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0479855047 rounded to 4 dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 3444?\nAnswer: 30996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.4776 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -25. Let b = 21 + l. What is the greatest common factor of b and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - (69 + 28) - (1 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83899?\nAnswer: 53, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 96.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 6*a**2 - 7*a - 5. Let g be z(-5). Let r(w) = -13*w**2 + 7*w**2 + 3 - 2*w**3 + 4*w + 3*w**3. Let v be r(g). Does -0.1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2\/5 in decreasing order.\nAnswer: 4, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - h + 2. Let g(y) = -6*y**3 + 7*y**2 + y - 4. Determine -3*d(q) - g(q).\nAnswer: 6*q**3 - q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-127)\/(-3) + 2)*-9. Let l = m + 109. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1357*l**5 + 30776*l wrt l.\nAnswer: -27140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:10 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3647 + -3600 + (-1 - 34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + k - 21, 2 = 3*g - 2*k - 0. What is the lowest common multiple of 18 and 1 - (g + 1)*-3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-18 + 5 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50184.5 and 3.5.\nAnswer: -175645.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*(-3)\/(-6))\/((-2)\/1614) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119367 - -119256.214. Let u = -111 - h. Round u to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20336786.\nAnswer: 2, 277, 36709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.93621ml in litres?\nAnswer: 0.03793621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285792*q + 285866*q - 571782*q.\nAnswer: -124*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndvkynyryndnkr. Give prob of sequence ykrv.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) 2 (b) -0.02 (c) 37 (d) 14 (e) -2 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 29, 19, -7, -55?\n\"Answer: -w**3 + w**2 + 4*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4290125 is divided by 16693.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -0.1240738062.\nAnswer: -11.1240738062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Let l = 1 + 1. Let q = 13.516 - 13.316. Which is the fourth biggest value? (a) l (b) -3 (c) h (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 17.4. Let u = 0.6 - f. What is the third smallest value in u, -4, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03088 to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i**(2\/5))\/(((i*i\/i**(-6))\/i)\/(i\/i**(2\/19))))\/((i\/(i*i**(-1\/6))*i)\/i*i*i**(-7)\/i*i*i)**(2\/75) assuming i is positive.\nAnswer: i**(-31534\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10848 divided by -24.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63533, 66277, 69023, 71771, 74521, 77273, 80027?\nAnswer: 82783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2)\/12*-1. Let j be 1\/(-4) + (-209)\/(-132). Which is the third biggest value? (a) 3 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haszuhl. What is prob of sequence sal?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**5 - 17 + 11\/120*b**6 + 0*b - 2*b**2 + 0*b**3 + 35\/8*b**4. What is the second derivative of f(q) wrt q?\nAnswer: 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1380 and -107\/40.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035406 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/180 - 2*d**3 + 25*d**2 + 2. Let s(b) be the first derivative of f(b). Let v(y) = 11*y**2. What is v(s(x))?\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/((-14)\/8 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -0.0119?\nAnswer: -0.1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8240639421633239\/64836 + 127099750476. Let t = v - -5\/10806. Calculate the common denominator of -11\/6 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -19 (b) -4 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - 23 - 23 - 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 113334.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27489 = 193*w + 940*w - 44448 + 14154 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274481681 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11099486?\nAnswer: 2, 103, 53881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 430, 408, 388, 376?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5 and 279317.830542?\nAnswer: 279316.330542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084, -2158, -3232, -4306, -5380?\nAnswer: -6454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47895 and 919275?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from ugubbbuuu?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-702)\/90 + 8 - (-118089)\/5.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-8) - (-3)\/(-12). Let j be (-2 - -2 - 0) + 2. Suppose 5*l - 4*l - 2*v - 9 = 0, 6 = j*l + 2*v. Solve 5 = s*d - l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 6*h - 15*h + 5*h + 593*h**2 to o*h**2 + d + l*h and give o.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*g**3*i**2 + 22361*g**3*i - 4*i**2 - 827*i + 4 wrt g?\nAnswer: 39*g**2*i**2 + 67083*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0 + 0)**2 - sqrt(3)) + sqrt(6)\/sqrt(2)*-3.\nAnswer: -4*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -57*a + 5. What is the hundreds digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1921, -3505, -5093, -6685, -8281, -9881?\n\"Answer: -2*m**2 - 1578*m - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**6\/480 + k**5\/120 + k**4\/32 - 41*k**2 - 15. Let z(f) be the second derivative of p(f). Factor z(j).\nAnswer: -j*(j - 3)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*h - 48*h + 53688. Let b = h + 16245. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-42)\/52) + (-4)\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 + 1. Let d(n) = 57*n**2 - 75*n - 552. Let p(m) = d(m) - 6*k(m). Find i, given that p(i) = 0.\nAnswer: -6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 9*h - 17. Let x be g(10). Let o = x - -29. Solve -5*r + 9 = -4*t + t, 2*t = -o*r + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*k + 662*k + 288*k - 36*k to h*k + w and give h.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 13*v = -2*p + 10, 2*v = -4*p + 8. Is p not equal to 2\/19269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*a + a + 2*p, -4*a + 3*p + 14 = 0. Suppose -3*o + 3*v - 3 = 0, o - 2*o - 2 = -2*v. Solve a*m = -o*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - 4. Suppose -5*w + 50374 = l*y - 8126, -4*w + 4*y = -46800. What is w rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1900) + 2)**2 - (3 + sqrt(1900) + 2*sqrt(1900)) - (4*((sqrt(2299) - (sqrt(2299) + 0)) + sqrt(19))*5)**2) + 2.\nAnswer: -5697 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**5 - u**5 - 2*u**5 + (0*u**2 - u**2 - 3*u**2)*(-4*u**3 + 2*u**3 + u**3))*(121 - 75 + 108).\nAnswer: 770*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/13704 and 67\/75372?\nAnswer: 150744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -24 + 27\/4*m**4 + 0*m**2 + 20\/3*m**3 + 0*m. What is the third derivative of j(g) wrt g?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3981250 to the nearest 10000.\nAnswer: -3980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - 3*p**2 - 3*p - 2. Let c = -6 - -4. Let z be t(c). Suppose -3*s + 2*s = -z. What is the least common multiple of 3 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4632.13 plus 601?\nAnswer: -4031.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**4\/24 - s**3\/2 + 14*s**2. Let w(v) = 0 - 2 + 3. Give -5*w(r) - 2*x(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(-1))\/u)**7*(u**(1\/5))**(3\/14) assuming u is positive.\nAnswer: u**(983\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2068608, -2068594, -2068580, -2068566, -2068552?\n\"Answer: 14*o - 2068622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -23. Suppose 0 = -x - 0*x + t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - d - 6 = 0, 8 - 29 = -4*b - 3*d. What is the third smallest value in b, 2, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 36*m**6 - 17*m**5\/60 + 7*m**4\/12 + 4749*m**2. Find the third derivative of d(n) wrt n.\nAnswer: 25920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42176.2426 + 42182. Round j to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19416 + -11156. What is q rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 12*u**2 + 9*u - 11. What is the tens digit of i(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 9) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(108)\/sqrt(6) + sqrt(18))*6*4)\/((sqrt(72)\/sqrt(8)*-3 - sqrt(9) - sqrt(9))*-4).\nAnswer: -5 + 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 10*h = -24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 369 - 1053. Let r be (z\/2)\/((20\/4)\/(-10)). What is the highest common factor of 6 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37519689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036785 rounded to 7 dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28848258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5408 - 3290?\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -11*s**4\/6 - 4*s**2 - 192*s. Let g(a) = 43*a**2 + 14. Let y(q) = -4*g(q) - 7*t(q). Let k(l) = 14*l. What is y(k(c))?\nAnswer: -3528*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23673677*d**5 - 6719064*d?\nAnswer: 473473540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97652, 390595, 878844, 1562405, 2441284, 3515487?\n\"Answer: w**3 + 97647*w**2 - 5*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -170.172, 3\/34?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/4 - (-42)\/(-11 - -25). Is k at least -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*p**2 + 2 + 30*p**2 + 874*p**2 - p to u*p**2 + y*p + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 397a3c7?\nAnswer: 397a402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 428 - 1100 = 0. Let h = -86 + q. Calculate the greatest common factor of h and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 3*o + 5*o)*((3 - 2 - 2)*(-2 - 1 - 1) - 2 + 2 + 1) in the form l*o + r and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 6132 + 6142 = 5*o + 12269, 4*o - 24*j = -73*j + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 44532*w**2 + 62337*w + 17810.\nAnswer: (w + 1)*(w + 8905)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 119 + 136 = 0. Let d = t + -16. Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 5. Let z be t(-6). Suppose -10*n + 42 = -24*n. What is the tens digit of (z - -2)\/(n\/(-285))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179197\/6 - 29762. Let u(t) be the third derivative of 125\/8*t**4 - 5\/4*t**5 + 0 + 0*t + 1\/24*t**6 - o*t**3 + 42*t**2. Find x, given that u(x) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-8 + 7 + -1 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 < 26841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 12*v - 15. Let n be z(5). Let p(d) = d**3 + 5*d**2 - 2*d + 2. Calculate p(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 31 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 7*q + 12. Suppose 4*t = -4*r + 3*t + 29, -r + 11 = -t. Let v be -2*(140\/r)\/7. Calculate the smallest common multiple of 18 and u(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676 divided by -13\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*x + 2, -y - 2*x - 8 = -3*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1.2 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (2 - (-16 + 35)) + -47 - 1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1473, 1468, 1453, 1422, 1369?\n\"Answer: -i**3 + i**2 - i + 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1910a + -1c6?\nAnswer: 18d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 3591 + 401. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3) + 14\/(-2). Let b = 125 + -130. Is c smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5016.136 days in milliseconds?\nAnswer: 433394150400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -54.\nAnswer: -54, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 17*x**2 + 18*x + 3. What is h(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4*w)*(-28 + 28 + 3*w) + 4 + 2*w**2 - 4 + (2*w**2 + 5*w**2 - 5*w**2)*(-2 + 2 - 2) in the form p*w**2 + u*w + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221400 to the power of 1\/2, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/7785589 and 25\/98988203.\nAnswer: 692917421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 226.999764 - 227. Round u to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -16. Let p = 9.85 + -10. Let d = 4.85 - p. What is the closest to -0.2 in b, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2774249 < -2774247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*z = -s - 563, -s = 5*z + 560. Is s greater than -576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5116522 (base 8) to base 10\nAnswer: -1350994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 71. Let k be -18 + -4 - (0 - 1). Does 17 divide (k + -79)*v\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20)*3*1055\/(-633))\/(2\/76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*1*1\/9*3. Let m(t) = -t + 1. Let g(p) = 8*p + 16. Let b(k) = j*g(k) - 4*m(k). Does 4 divide b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 96.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 542, 542, 540, 536, 530?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g - 158. Let k be d(16). Let c(f) = 48*f**2 - 14*f + 37. Does 3 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759488 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + ((-351)\/(-15) - 11).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288573*f**3*q**2 + 6*f**3 - 2*f*q + 1999*q wrt q.\nAnswer: 577146*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 454036533 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/1)\/2)\/((-60)\/144).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20)\/((2\/(-1))\/4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4158*h + 18*q - 24 = -4156*h, -6*h - 5*q + 46 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 340?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-40)\/18 + 50\/(-18). Let q be 2 + (-63)\/(-6)*20\/d. Let l = -49 - q. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -441309388*p**4 + 3*p**2 + 9*p - 1838389 wrt p.\nAnswer: -10591425312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5 - 542*r**4 + 37576*r**3 + 77312*r**2 = 0.\nAnswer: -604, -2, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/7 - 6*a**3 - 180*a**2\/7 - 216*a\/7 = 0. What is a?\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5 - (-55 - -59)) + 4 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -23104120*x**2. Let b(j) = j. Calculate b(u(z)).\nAnswer: -23104120*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 4*y**2 + 2*y + 3. Let g be a(-3). Is 3 a factor of 57\/g + (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200484 - -100115. Suppose 7*k - 12 = 4*k. Suppose k*l = 2*s - 287407 - d, 2*s - 294006 = 2*l. What is l rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -350. Let u = -310 - o. Which is smaller: u or -0.8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -203046408?\nAnswer: 203046410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + 0 + 6 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4083, -4039, -3987, -3927, -3859, -3783?\n\"Answer: 4*g**2 + 32*g - 4119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4324456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 102*v + 407. Let l be a(-4). Put -2, 3, -260, l in increasing order.\nAnswer: -260, -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15*t**(1\/12)*t**22*t**(-1) assuming t is positive.\nAnswer: t**(433\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000205904703 to six decimal places.\nAnswer: 0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 217*y**2 + 2*y. Let v(p) = 0*p**2 - p**2 - 1936*p + 1936*p. Calculate r(v(g)).\nAnswer: 217*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 + 23*n**3 + 25*n**3.\nAnswer: 34*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -15, -28, -47, -72, -103?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -73*h + 1. Let w(s) = 152*s - 21. Calculate w(x(c)).\nAnswer: -11096*c + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in -14, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i + i. Let w be 1*i\/1*4. Let r(k) = -k**2 - 5*k - 3. What is the units digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/354 and (-226)\/(-120) - 5\/(-30).\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 34 - 38, 3*c - 4*r = 11. Let h(x) be the first derivative of -1\/10*x**5 + 0*x + 1\/8*x**4 - c + 1\/6*x**3 - 1\/4*x**2. Factor h(l).\nAnswer: -l*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332428463.\nAnswer: 151, 863, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let p(x) = x. Suppose 5 = 8*b - 35. Suppose -b*d + 29 + 146 = 0. Let s = d - 41. Calculate s*p(h) + o(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -10 (b) 230 (c) 2 (d) -294 (e) -3\/5 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 85 = 4*t + 240, 0 = -4*v + 2*t + 190. Calculate the smallest common multiple of ((-8)\/(-20))\/(3\/v) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 88 - 316 = 0. Find the common denominator of ((-3287)\/(-60))\/h - 2 and -113\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.794 rounded to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720055483.\nAnswer: 23, 74785021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 339803743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 + 9*z - 14. Let q be n(5). Suppose 3*w + 0 = -3*a - q, -2*a - 1 = -w. Let v = 1 + -1. Is w bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Suppose -3*x + u*k - 19 = -8*x, 15 = 5*k. Let h(y) = -x*y + 2*y - y. Let r(q) = 2*q**2. What is h(r(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6026*i**3 - 1 - 1459*i**3 + 4 - 3561*i - 1 + 3562*i as k*i**3 + p*i**2 + t + z*i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/221 and 1\/91.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1084353 - 1841076. Let s = a + 1326723. What is s rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2514 and 85\/5028.\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 - 74068*l + 11966808 = 0. What is l?\nAnswer: 163, 18354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.126 - -0.874. Which is greater: -76\/23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63870 and 255480.\nAnswer: 255480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 0*k)*(1312*k - 413 + 1293*k - 2592*k).\nAnswer: 13*k**2 - 413*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1739*8.493.\nAnswer: -14769.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13988 and 76.\nAnswer: 265772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - o + 1. Let f(q) = 9*q**2 + 8*q - 98. Give -f(u) - 4*i(u).\nAnswer: -u**2 - 4*u + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q = 54*q - 112*q + 436 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v - 11. Let y be f(-2). Let l = -1002 - -1713. Suppose 2*n - l = -y*a, 0 = a - 4*n - 26 - 225. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:50 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5716964722 to the nearest integer?\nAnswer: 75611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/55 and 20\/1881.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 21\/9 - (-1 - 5))*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -899.6318 and 0?\nAnswer: 899.6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - i**2 - i**2 + (-2 + 2 - i)*(i - 2*i - i) + 4258*i**2 + 1624*i**2 - 452683 + 452683 + 1 - 1 - i**2 to the form k*i**2 + a + f*i and give k.\nAnswer: 5885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*m - 3 - 407*m - 2 + 16 + 1 to the form r*m + s and give r.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 2573391\nAnswer: -7\/857797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 101*p - 8157. Determine i(53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6984409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(931) + -3 + 1*sqrt(931))**2 + (1 + sqrt(684) + -4 + -4)**2.\nAnswer: -112*sqrt(19) + 4458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 294 + -281. What is the remainder when 214 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30230, -60462, -90694, -120926?\n\"Answer: -30232*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from {u: 5, n: 5, i: 6, w: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 52 = -q, 0*p - p + 20 = -q. Let w(j) = j**2 + 4*j - 5. Let s be w(4). Solve s = 5*g + u, 2*g - u + 5*u - p = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959353007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1629195 and 101\/7168458.\nAnswer: 35842290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4012 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, c: 3, d: 3}. Give prob of picking 1 d, 1 e, and 2 c.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671 divided by 164654?\nAnswer: 4671\/164654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 - n**5\/10 - 14*n**3\/3 + 30*n**2. Let u(q) be the first derivative of i(q). Factor u(d).\nAnswer: 3*d*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 281.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25\/4*g**3 - 17\/4*g + 3 - 5*g**2 = 0. Calculate g.\nAnswer: -4\/5, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110 rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/1639 (b) 500\/3 (c) 0.15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 32 = 32. Let u(l) = -10*l + 8. Let r be u(w). Suppose 0 = g - r + 618. Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-216251)\/28 + 18 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69235252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:28 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(5\/4))**(-35)*d**(-2\/3)\/d**15 assuming d is positive.\nAnswer: d**(-1133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 444456590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 545*a - 15314 + 1144 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3*t - 34*q**2*t**3 + 50*q*t**3 - t**3 wrt q.\nAnswer: -12*q*t - 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1, 0, -35 in ascending order.\nAnswer: -35, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -1\/4*x**4 - 42*x**2 - 97\/3*x**3 + 0 + x. Find the first derivative of d(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -23 + -1 + 13 + -32 - -91.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128*b**4*n + 2*b**4 + 2*b**2*n - 973*n wrt b?\nAnswer: 512*b**3*n + 8*b**3 + 4*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.089, -5, -4, 7, -2.1, -123 in increasing order.\nAnswer: -123, -5, -4, -2.1, 0.089, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/4))\/y)**24*y*y**7*y*y\/(y*y\/(y*y**(-2\/17))*y)*y assuming y is positive.\nAnswer: y**(661\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 54\/(-15)) + (-26)\/(-40)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7*n - 56. Suppose -2*l + 4*d + n = 0, 3*l + 6 = 4*l - d. Solve 2*a = a + l*t - 12, 0 = -3*t + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2808 - -0.037. Let o = -1 + 0.77. Let w = s - o. What is w rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Let h(n) = -n**2 - n + 1. Let a be h(1). Let r be a\/(-3) + (-1)\/21. What is the nearest to -2\/9 in u, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026711855 rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + (-225)\/27)*54\/(-4). Solve -8 + m = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2903\/6 - 485. Suppose -2*b + 593 = -1493. What is the common denominator of z and b\/(-105) + (-2)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 23622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -59, 5 in decreasing order.\nAnswer: 5, 4, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + -11 - (-12 - -1). Suppose 3*u = 4*t - 18, -3*t - u + o = -3*u. Is 101\/t + (-2)\/3 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -10*o + 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 146?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.594 and 0.3?\nAnswer: 0.7782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -20. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -2, 0.2, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 141*n. Let h(r) = -r**2 + 160*r - 1453. Determine m(h(z)).\nAnswer: -141*z**2 + 22560*z - 204873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -30*m - 72, 4*m - 102*d = -103*d - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + 3*v)*(2 - 1 + 1) + 2*v - v + v + 15 - 2*v - 14 + 30.\nAnswer: 2*v + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 19. Let i be y(10). Differentiate i + 7*n**3 + 6*n**3 - 6*n**3 with respect to n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -430, -856, -1286, -1726, -2182, -2660?\n\"Answer: -j**3 + 4*j**2 - 431*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 16 - 3 = n, -a = 4*n - 7. Let h be (2\/5)\/(n\/45). What is the highest common factor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038534558 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0 + 0*i**4 - i**2 - 1\/5*i**5 + 2*i**3 + 0*i. What is the first derivative of v(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (92\/(-115))\/((-2)\/10). Suppose 77 = -s + 81, o*s = -2*f + 204. What is the remainder when f is divided by 55?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let l(q) = -719*q + 163 + 3687*q - 89 - 74. Determine u(l(b)).\nAnswer: -5936*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2802*x**2. Let w(s) = -3*s**2. Give v(w(q)).\nAnswer: -25218*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + l + 96. Calculate c(11).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 34, -7, -6, -0.03, 2\/39, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 1100 = 43*a. Let s be 53\/a - 144\/60. Solve 0 + 0*j + j**2 + s*j**4 + j**3 = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 + -347. Put 14, -3, q in ascending order.\nAnswer: q, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1559263458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r - 60. Let a = -2 - r. Let q(s) = 4*s - 11. What is the tens digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from soaoaooaahhohooxo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20444, 81300, 182728, 324728, 507300, 730444, 994160?\n\"Answer: 20286*k**2 - 2*k + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2 - 1144*q - 81796 = 0.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001883 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 6*f**2 + 2*f - 3. Give a(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + (-802 - -807)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 11*b**2 + 12*b - 3. Let l be i(10). Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 70, 63, 68, 91?\n\"Answer: r**3 - 3*r**2 - 11*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 994 + -977. Suppose -t = -r*t + 48. Sort -4, t, -3.1, -0.1.\nAnswer: -4, -3.1, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -23 - (0 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1646.5 - -2.\nAnswer: -1644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*i - 104*i - 27 + 27 + 123*i.\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5782 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 5. Let c be u(6). Let n = c + 42. Let o = 68 - n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 26 = 0. Let a = -17 - t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 626, 615, 604, 593, 582?\n\"Answer: -11*q + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8596 and 3453044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5704242633.\nAnswer: 3, 633804737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*r + 24. Let u be (-5665)\/15 - 2\/r. Let x = u + 539. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:22 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:15 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21364.4 + -21364. What is the nearest to 0 in 0.05, 1, r, -2.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(75) - (sqrt(75) + 2)) + 3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 98*c + 23. Is 28 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {b: 1, y: 2, g: 2, j: 7}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 5444*y**2 - 203906*y + 209352.\nAnswer: -2*(y - 1)*(y + 39)*(y + 2684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21641, 21608, 21575?\nAnswer: 21542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 7*f**2 - 6*f - 4. Let a be w(8). Suppose -a*x = -10*x - 26. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.161.\nAnswer: -0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 86, 44, -38, -172, -370, -644, -1006?\n\"Answer: -2*l**3 - 2*l**2 + 6*l + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342790870 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 2945*i**2 + 40495*i - 140875.\nAnswer: 5*(i - 575)*(i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1039787770?\nAnswer: -1039787770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -193*h**3 + 25*h**2 + 49*h - 1. Determine c(-2).\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4365172 (base 8) to base 2\nAnswer: 100011110101001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241 + -238. Let i(a) = -4*a - 1. Let p(l) = -3*l. Calculate m*p(b) - 2*i(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - g = 91 + 17, 5*m + 4*g = 180. Factor -66*h**2 + 32*h**2 + 8 + 8*h + m*h**2.\nAnswer: 2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 13. Solve 2*u - 16 = -p*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a*i**3 + 2*a*i**2 - 2*a*i + 531*a - 92*i**6 - 10260*i**4 + 2*i**2 + 3*i - 603 wrt i?\nAnswer: -66*a - 11040*i**3 - 246240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -597*j - 10. Let r be x(-2). Suppose 0 = -5*m + 9*m - r. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 3)*1\/2. Let w(x) = x**3 - x - 4. Let p be w(-3). Let y be (-5)\/(-15) - p\/6. Solve d*m + 5*g = -22, 0*g - 5*g = y*m + 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 + 688*w**2\/7 + 29860*w\/7 + 57000\/7.\nAnswer: 4*(w + 2)*(w + 75)*(w + 95)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -21359\nAnswer: -85436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*u**2 + 31*f**4*u + 3*f**3*u**2 + 434*f**2*u + 3*u**2 wrt f.\nAnswer: 24*f*u**2 + 744*f*u + 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/((-10)\/(-4)))\/2. Let g(o) = -21*o - 5. Let l(m) = -m - 1. Let x(a) = -g(a) + 4*l(a). Calculate the remainder when 33 is divided by x(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/((-2976)\/1320) - 14 - 155\/4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -9, -2\/15, 5 in decreasing order.\nAnswer: 5, 0.5, -2\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 2 h when four letters picked without replacement from {o: 1, z: 2, l: 1, e: 4, b: 7, h: 3}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 11*q + 25. Suppose 51*i = 45*i + 78. Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**3 + t**2 - t + 62. Let h(m) = 7*m**2 + 2*m - 1. Suppose -15 = -s + 5*q, s + 5*q + 40 = -3*s. Give s*h(v) + 6*x(v).\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16)*12\/15. Let z(n) = n**3 - 5*n**2 + n - 7. Let g be z(5). Sort g, m, -2\/11 in decreasing order.\nAnswer: m, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/39998652 and -57\/4.\nAnswer: 39998652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(((u**(-2\/3)*u)\/u)\/u)*u*u)**(6\/37)*u**(-9\/4)\/u*(u**(-1\/4)*u)\/u assuming u is positive.\nAnswer: u**(-191\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + w + 0*w - 3729*w**2 + 0*w + 4040*w**2 + 3*w.\nAnswer: 311*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.161 - -0.661. Sort 2.6, q, -1\/3 in decreasing order.\nAnswer: 2.6, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19 = 5*x - 6, 2*t - 19 = -3*x. Suppose t*d - 9 = 2*d. Suppose q = -d*o - 3*q + 168, -o - 2*q + 54 = 0. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1295\/121, 7, 0.058 in ascending order.\nAnswer: -1295\/121, 0.058, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -443 + 445. Solve -d + 0*x - 11 = i*x, 0 = d + 5*x + 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 12. Let p be 2 + -2 + 1*39. Let h = g + p. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 25644638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*g + 42, z - 3*g = -8*g - 14. Let q(n) be the third derivative of -n**4\/4 - n**3\/2 + 2*n**2. What is the units digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -25 + (4 - 3 - -3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 429*i + 9. Let v be z(-6). Let w = 30757\/12 + v. Let x = 1\/16407 + -43145\/10938. What is the common denominator of w and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8963422 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -456, -396, -32, 738, 2016, 3904?\nAnswer: 6504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfz when three letters picked without replacement from zrizrbf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**7\/21 - 241*k**5\/20 + k**4\/6 - 919*k**3\/6 + 15*k - 1. Find the second derivative of l(d) wrt d.\nAnswer: 40*d**3 - 1446*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let w = -9 + 6. Let o be x(w). What is the units digit of (-23)\/(-3) - (-2)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l + 25. Suppose 2*c = l*c - 213. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5164450 = 267*d - 4221104 - 2272734. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 8. Suppose -3*j - 7 = 3*t + 29, t - 5*j = 12. Let q be i(t). Solve 0 = y - 3*y - 10, -5*p + 4*y + q = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 + 213. Let z = -7675\/3 + 2529. Let m = -29 - z. What is the third smallest value in -0.03, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3.2 (b) -3\/2 (c) 5 (d) 3\/2 (e) 51\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -6. Let m(a) = 12*a**2 - 2*a + 1. Let v be m(k). Let g = v + -10. Let r(n) = -12*n - 1. Determine r(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b + 2. Let o be a(-2). Suppose 0 = 2*q - 2*v - 38 - 10, -5*q + 2*v + 117 = o. Calculate the remainder when q is divided by 70\/6 + (-2)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-6 + 1833007) - (-9)\/3. What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + j**4 + 3*j**2 - 13*j**2 - 9*j**2 - 2 + 3*j**2 as p*j**3 + r*j**2 + u + l*j + f*j**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Is ((-152)\/(-12))\/(2\/i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -41 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7023*b + 912981. Give k(130).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 1, 27, 63, 109?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:48 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, 1\/3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1524750 and 41\/20736600.\nAnswer: 103683000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdcc when four letters picked without replacement from ccccccdcccccdcdccccc.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 266077.\nAnswer: 2394693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(24)\/sqrt(3)) - (0 + sqrt(75)) - ((-1*sqrt(300) - sqrt(300)) + sqrt(12)*1))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5132.59 - 0.3.\nAnswer: -5132.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -5 (c) 27 (d) 0.928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55\/9466 - 6348279\/1400968. Let m = 43\/37 + g. Calculate the common denominator of 139\/90 - (-15)\/(-25) and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -45658872.\nAnswer: 1004495184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 + 4)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3531, 3607, 3749, 3957, 4231, 4571, 4977?\n\"Answer: 33*h**2 - 23*h + 3521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983980 a multiple of 796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f + 71*f + 13 + 55*f - 13.\nAnswer: 79*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600913 (base 10) in base 2?\nAnswer: 1101101111001000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p + 2*p)*(-3*p + 4*p - 2*p) - 29*p**2 + 12*p**2 - 16*p**2.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.06. Let g = 107.1 + -73. Let q = 34 - g. What is the smallest value in t, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/2 + 3*h**4\/2 + 39*h**3\/2 - 3*h**2\/2 - 18*h = 0. What is h?\nAnswer: -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**14\/s)\/s**(-6)*((s\/(s**14*s))\/s*s)\/s**(2\/39))**9 assuming s is positive.\nAnswer: s**(579\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 28 = w, 161 = -6*w + w - o. Let k be 1\/16*8 - -34. Let n = k + w. Find the common denominator of n and 57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -20. What is the remainder when 18 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*g + 63 = -22*w + 192, 0 = -2*w - 3*g + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 20*k**2 + 10*k. Let z(a) be the first derivative of a**2\/2 - 456. What is -u(l) + 10*z(l)?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11678 and 4?\nAnswer: 23356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30785594 to the power of 1\/2, to the nearest integer?\nAnswer: 5548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 338\/(-39)*6\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*o = 55, -o - o = -2. Find the first derivative of -16*a + 32*a - 10*a - s wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -204415, -408117, -611831, -815563, -1019319, -1223105?\n\"Answer: -q**3 - 203695*q - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13) + sqrt(13) + -3 + 1.\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3 + 10565*k**2 - 113*k - 6 wrt k.\nAnswer: 12*k + 21130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 - 6*o**2 + 398*o**2 + 244 + 245.\nAnswer: 392*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 2*p + 3*p - 6*p + 5 - 14 + p.\nAnswer: 4*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 3*w - 6. Suppose -4*g = -8*g - 12. Let o(i) = i**2 - 2. Let k be o(g). Calculate the remainder when v(k) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2)\/o*o))**(9\/4))**14 assuming o is positive.\nAnswer: o**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z + 43*z - 170 = 0. Solve -2*p = z*u + 8, 4*p + 7 = -3*u - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 6937536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, p: 4, g: 6}. Give prob of picking 2 g and 2 u.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8488 + -0.2072. Let a = z - -8. Let t = a - -0.056137. What is t rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 3*m**2 - m - 1. Let a be p(-2). Let g = -2 - a. Let i(j) = 9*j + 8. Let u(s) = -8*s - 7. Let n = 2 + -8. Calculate g*u(k) + n*i(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.42915 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, 7, -3, 3, -4 in decreasing order.\nAnswer: 7, 3, -3, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16477 = 18*z - 16819 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (222\/25)\/((-12552)\/104600)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 12*k**2 + k**2 + k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/7)\/(270549\/(-1932) - -140).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -27*m + 406. Determine i(60).\nAnswer: -1214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 36*n - 135.\nAnswer: 3*(n - 3)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 4*i + 4. Give n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j - 15*j + 125 + 2*j**2 - 116. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 77 - (-33 - (-5 - -13 - 6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -25. Suppose k + q = 31. Calculate the remainder when 47 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 5:36 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -282. Suppose 131 = -4*u + b. Let r(s) = s**3 - 5*s**2 + 2*s + 1. Does 5 divide r(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-3.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*((-74)\/6 + 108\/81).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 0*c**2 - 3*c**2 + (0*c + 0*c + 2*c)*(-6*c + 3*c + 2*c))*(2*c - c + 2*c + (-12 - 24 - 32)*(3*c + 0*c - 2*c)).\nAnswer: 195*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 - 22*d + 6. List the prime factors of v(7).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 5*s**2 + 16*s + 41. Let p(r) = -r**3 + r**2 - 3*r - 2. Calculate -5*p(z) - v(z).\nAnswer: 7*z**3 - z - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 + 10*i**4 + 4*i**3 - 8*i**2 - 8*i - 2.\nAnswer: 2*(i - 1)*(i + 1)**3*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59969?\nAnswer: 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58366.\nAnswer: 2, 7, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(0 + sqrt(99)) + sqrt(99) - (sqrt(99) + 3*sqrt(99)*-2 + sqrt(99))) + sqrt(99)*-3*-3 + (2 + sqrt(99)*-3 - sqrt(99)))**2 + 1.\nAnswer: 192*sqrt(11) + 25349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(34)\/sqrt(2) + 5*sqrt(17)*1)**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 287\/3? (a) 0.05 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.286 - 33.286. Is 0 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 293 and 67.3.\nAnswer: 360.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*z - z = 7*n + 75, 0 = 5*z - 3*n - 95 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*(-176)\/(-42). Let n be 447\/(-5)*(-4)\/(-56). Let h = n - g. What is the common denominator of -59\/5 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183269 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kobf when four letters picked without replacement from fbkbfobfkb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 477904.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/8 and 12\/119.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.8 and -785181.52792.\nAnswer: -785170.72792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/j**14))\/j**(-10))\/((j**8*j)\/j**(-3\/2)))**(-1\/2))**(-15) assuming j is positive.\nAnswer: j**(435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(12\/5))**45\/(k\/(k*k**4))**(-6\/31))**(2\/61) assuming k is positive.\nAnswer: k**(6648\/1891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12992, -12993, -12994, -12995?\nAnswer: -12996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*t + 3, -2*t + 7*t - 3 = 3*p. Let u(n) = n**2 + 13. Is u(t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 27. Let f(y) = 3 - m*y - 3 + 9*y + 2. Let l(t) be the third derivative of -t**4\/24 - t**2 + 273. Give f(l(w)).\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 - 3*a - 7. Let i be p(-3). Let t(x) = 3*x + 76*x**2 + 1 - i*x - 75*x**2. Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -19. Suppose 4*d - l = 2*i, d + 1 = 6. Which is bigger: i or -4\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:31 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -35, -56, -73, -80, -71, -40?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q**5 - 1)*((-1 + 5 - 3)*(0 - 4 + 3) + 1 - 1 - 1) + 772*q**5 + 291*q**5 - 398*q**5.\nAnswer: 669*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i + 2*i)*(-45 - 35 - 79).\nAnswer: -318*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.009 - -3.041. Let h = 1.05 - c. Let z = -5.5 + 0.5. What is the second smallest value in z, -7, h, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 53 + 15. Suppose -k - k = 10, 4*s - 176 = b*k. Sort s, -2, -5.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 3, k: 1, n: 3, e: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/((-22)\/(-231)). What is the first derivative of -259*q**2 + 259*q**2 - 13 + o*q**4 wrt q?\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 102, 137, 172, 207?\n\"Answer: 35*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 11:34 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*t**2 + 2*t**3 + 89 - 89 to the form y + w*t + x*t**3 + a*t**2 and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/42*-5*1643600\/(-220125)?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 - 173*b**4 + 15*b**3 + 750*b**2 - 9*b.\nAnswer: -120*b**2 - 4152*b + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*m**2*y + 4755*m**2 + m*y**2 + 138*y**2 + 2 wrt y?\nAnswer: -7*m**2 + 2*m*y + 276*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 43*w**2 - 47*w - 485. Is 93 a factor of p(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5 - 3. Suppose -16 = l + 3*l. Calculate the least common multiple of l*(2 - (0 + 7)) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2307 = 6*s - 3*p, 2*s + 1166 = 4*p. Let l = s + 301. What are the prime factors of (60\/25)\/(-6) + l\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2931710 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 14*z**2 + 13*z - 15. Let v be c(-15). Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 47*j + 572. Let b be g(21). Solve 6*u = b*u + 80 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 3*y**2 - 335 - 19*y + 18*y + 866 + 558 to c*y + n*y**2 + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.602459 millilitres in litres?\nAnswer: 0.002602459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598b9 (base 14) in base 16?\nAnswer: -b8a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/3))\/(t\/t**(-2\/9)))\/(t**(-1\/11)\/t*t*t**4) assuming t is positive.\nAnswer: t**(-376\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3267, 6532, 9797, 13062, 16327?\nAnswer: 19592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by -130.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**4\/24 + 13*v**3\/6 + 6*v**2. Let h be l(-5). Does 18 divide (12\/h)\/(-3)*-108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 13*r - 21. Let o = -33 + 35. Suppose -o*m + 4*m - 4*a = 8, -3*a = -m + 2. Calculate the remainder when 36 is divided by w(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 19*l - 8*l**2 - 1 + 9*l**3 + 41*l**2 = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11253*g**2 - 4 + 3*g**3 + 4*g - 11253*g**2.\nAnswer: 3*g**3 + 4*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.098, 5220, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*(-1 + sqrt(320)))**2 - 1*sqrt(320)*1) + ((2*sqrt(360))\/sqrt(12))\/(sqrt(72)\/(sqrt(60)\/sqrt(5))).\nAnswer: -150*sqrt(5) + 2885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133483 (base 10) in base 4?\nAnswer: -200211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a**3 - 1. Suppose -3 = -4*l - 7. Calculate x(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4)*a**(-8))\/((a*a**(-1\/2))\/a*a*a)**(-3\/10) assuming a is positive.\nAnswer: a**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**5 - 7222120*s**4 - 7222112*s**3 + 7222120*s**2 + 7222116*s = 0.\nAnswer: -1805529, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*t - 11, 9*i - 2*t - 6 = 10*i. Sort 3, 4, -3, i in decreasing order.\nAnswer: 4, 3, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 25 = -g, -4*j + j + 17 = -g. Let q(r) = j*r**2 + 20*r**2 - 13*r**2. Let x(n) = 2*n**2. Give q(x(k)).\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(5\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -0.4 (c) -6.9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -32*x**2 - 674 - 667 + 2*x**2 + 1341. Let g(v) = 176*v**2. Determine g(a(c)).\nAnswer: 158400*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28770?\nAnswer: 2, 3, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1879, -1897, -1927, -1969, -2023, -2089?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e3 - -134?\nAnswer: -8af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*w + 5*q, -5*w + 704 - 707 = -4*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3001752.\nAnswer: 2, 3, 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 3273526139990.\nAnswer: 3273526139989.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**2 + 44*h**2 - 10*h**2 + 0*h - 2*h + 1899 - 18*h**2 as k + w*h**2 + l*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160*y + 339 - 339)*(1 - y - 1) as s + f*y**2 + a*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 3)\/((-4)\/4). Let i = 4 + o. Suppose 3*t - i*w - 36 = 165, 0 = -2*t - 3*w + 124. What is the remainder when t is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-3*21\/7))\/4)\/(4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189925 is divided by 7033.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, 10, -4 in decreasing order.\nAnswer: 10, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/11 + 12*f**4\/11 + 18*f**3\/11 - 8*f**2\/11 - 24*f\/11 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4000 - 3997. Which is the closest to i? (a) 2 (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2\/3, 0.014 in decreasing order.\nAnswer: 2\/3, 2\/9, 0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1983, 1941, 1901, 1863, 1827?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*1*(-3)\/(-3). Suppose x = 24*i - 23*i. Solve 0 = 4*c - 4*n, i = 4*c - 9*c - 3*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 13*u + 5. Let a(i) = 12*i + 4. Determine 6*a(q) - 5*j(q).\nAnswer: 10*q**3 + 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-10))\/((-6)\/(-212)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let q(a) = 16650798*a**2. Determine h(q(g)).\nAnswer: -277249074036804*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -3 - 2 - -6. Solve -4*o + 12 = 4*z, -24 = -n*z - 2*o + 4*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, a: 3, g: 1, r: 2}. What is prob of sequence rgaa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.466442 + -2.33355. Let l = 17.8 + b. Round l to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1782 and 19351629.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/187 and -43\/207030879?\nAnswer: 207030879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 14*b + 4. Let q be z(-15). Let v(g) = 3*g - 3. Let i(j) = -8*j + 9. What is q*v(r) - 4*i(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 106944 divided by 2228\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390938 or -393777?\nAnswer: -393777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, p: 4, t: 6}. Give prob of picking 2 v, 1 p, and 1 t.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-417)\/(-1529))\/((-6)\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133207 divided by -1.\nAnswer: -133207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 6*p**2 + 9*p + 5. Let u be v(-4). Is -2\/217 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, j: 1, p: 2, s: 6, e: 4}. What is prob of picking 2 s and 2 a?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23718 divided by -6.\nAnswer: 3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 18284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -489 + 504. Let r be (0*3\/x)\/1 + 2. Let o = -0.2 + 0.5. Sort 3, r, 4\/5, o.\nAnswer: o, 4\/5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9057.9 and 0.73?\nAnswer: 9058.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 14*f**2 + 13*f**2 + 124.\nAnswer: 27*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 23*l + 37. Is k(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w = 5*y - 295, 211 = 3*y + 5*w. What is the remainder when y is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 75. Suppose -f - 3*f = -o - 3, -g*o + 5*f = 0. Solve y - 14 = -m + 4*m, 0 = 2*m - o*y + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5561 and 8114993?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 646 and 98838.\nAnswer: 98838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8947 and 276?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2 - 39\/17) - -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 4*a**2 - 2*a**2 + (3*a - 5*a + a)*(a - 4*a + a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-70))\/((-6)\/15). Let l = -0.1 + 0.14. Let f = l + 0.16. Which is the closest to i? (a) 0 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -88 in -0.1, -1\/15, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m + 5. Let w(l) be the second derivative of 4*l**3\/3 + l**2 + 135*l. Let v(k) = -2*t(k) + 5*w(k). Let h(r) = -25*r. Give v(h(q)).\nAnswer: -150*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 27*z**2 + 610*z - 2615. Determine v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3367 - 7585 + 4218 - 59*x + 29*x + 30*x - 4*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64881, 129727, 194575, 259425, 324277, 389131, 453987?\nAnswer: 518845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (3\/(-9) - (-14)\/(-21)). Let j be 54\/r + 12\/(-7) + 2. Let x(c) = c**3 - c**2 + 2. Let m be x(0). What is the highest common factor of j and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101453, 200735, 300017, 399299, 498581?\n\"Answer: 99282*r + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-2*sqrt(5) + sqrt(5)) - (2*sqrt(1377))**2) + (sqrt(85)*1 + sqrt(85) - sqrt(85))\/sqrt(5)*4.\nAnswer: -5508 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -15, 3.\nAnswer: -15, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.7. Let n = -306358 - -306358.1. What is the nearest to -0.2 in 10, 0, n, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvvvz. Give prob of sequence zvzv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.089 greater than -107839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 6*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.229 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(56)\/(sqrt(24)\/sqrt(3)) + 4.\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.88 + 1018.12. Let x = 1134.4 - w. What is x rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -o + 70. Suppose -3*h + 5*g = -310, -4*h + 221 = 5*g - o. Suppose -2*t + 3*v + h = 34, -2*t + 63 = -5*v. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:51 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 136004 - (0 - -2). Suppose 0*n - x = -2*n. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-20)*(6 + -11). Let s be -22*2\/(-36) + -1. What is the nearest to b in 3, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16262885671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101010000110100 (base 2) to base 4.\nAnswer: 1231100310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/6 - (-57)\/342?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 19, -20, -97, -224, -413, -676, -1025?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*h - 10, 2*n - n - 5*h + 10 = 0. Let u be (-2)\/(-5) + 4\/n. Let a = -0.02 + 1.02. Put u, a, 0.5 in decreasing order.\nAnswer: a, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 12:57 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 14. Let v be w(-6). Suppose 4*y - h - 77 = 0, -2*y + 4*h + 14 = -v. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.92 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from {v: 11, s: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g - 7. What is x(-4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*j - 25. Suppose -2*o - 8 = -6*o. Suppose 0 = -2*y + 3 + 1. Solve 2 = y*f, 6*p - o*p - j*f = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*p - 7*p**2 - 239*p + 120*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 455328.3 micrometers in millimeters?\nAnswer: 455.3283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*s + 10*s**2 - 5 + s + 5 wrt s.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2652.34706 to the nearest 10.\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 528518917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 15 + 5 + -26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 6) + -6 - (-4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 16. What is the remainder when (-44 - (3 + -2)*-1)*(22 - 24) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1032, 4117, 9258, 16455?\nAnswer: 25708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 11. Let u(v) = 4*v - 29. Let z(a) = a - 7. Let l(w) = 2*u(w) - 9*z(w). Calculate -5*l(r) - 2*o(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(5*sqrt(32)) + 4 + (sqrt(48)*5)**2.\nAnswer: sqrt(3)\/10 + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(108) + (sqrt(108)*1)**2 + -2*sqrt(108) + -4.\nAnswer: -6*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*(w\/w**(3\/4)*w)\/w*w*w)\/w))\/(w\/(w*w\/w**(-1\/8))))**42 assuming w is positive.\nAnswer: w**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 14*t**2 + t - 12. Suppose -210 = -5*u - 10*u. Let d be x(u). Solve -d*o - 4 = 0, 4*o = -c + o - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 6*i**2 - 6*i - 2. Let q be u(4). Let r(h) = q*h + 2*h**2 - 6*h. Let w(x) = 4*x - 5*x + 0*x. What is w(r(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1176982 or -1176980?\nAnswer: -1176980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, q: 1, m: 1, c: 3}. What is prob of picking 1 c and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w + 223*w - 140*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f**4 + 4*f + 9*f**4)*(-4 + 4 + 2)*(11*f + 104*f - 20*f).\nAnswer: 1520*f**5 + 380*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - -50217405.\nAnswer: 50217406.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 6) to base 2.\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.017, 0.3, 15\/7, -2 in descending order.\nAnswer: 15\/7, 0.3, 0.017, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 86. Let w(a) = 0 - 3 + 2*a + 2. Determine w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(1\/4)*n))\/((n**(-1\/2)\/n)\/n)*n**(-6)\/n**(2\/7))**1)**(-2\/65) assuming n is positive.\nAnswer: n**(141\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r + 5*r + 3*r + 2*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 9*k - 90. Let x = -13 - k. Suppose -x - 4 = -3*c. Solve -3 = -3*n + c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-30)*j**(-1\/8))\/(j**(1\/17)\/j)**(-1) assuming j is positive.\nAnswer: j**(-4225\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.2 (b) -1\/39 (c) 12 (d) 3\/5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occx when four letters picked without replacement from {o: 10, c: 3, x: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15483 = 11*d. Suppose 0 = -3*n - y + d, 0 = -5*n - 5*y + 483 + 1512. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let c = -2 + 4. Suppose 2*w - 13 = -a + 9, -c*a + 38 = w. Let j(k) = -2*k - 9. Let r(m) = a*g(m) + 2*j(m). Determine r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36409, -36431, -36467, -36517?\nAnswer: -36581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53079.\nAnswer: 3, 13, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10565, -42304, -95211, -169292, -264553?\nAnswer: -381000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*k + 2 = 40, -5*k + 23 = 4*q. Let m be ((-68)\/6)\/((-8)\/q). Calculate the highest common factor of 119 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 4. Suppose 2*r = -n + p*n + 17, -2*n = 5*r - 20. Let s(v) = -v**2 - 14*v - 31. Calculate the remainder when s(-6) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21947*o + 21947*o + 115*o**2)*(5 - 5 + 2*o)*(3 - 1 - 1) + 11 - 6*o**3 - 11.\nAnswer: 224*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 85?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -128, -5, 1, 37, -55.\nAnswer: -128, -55, -5, 1, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a - 38*a + 54*a = 696 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 + 2*b**3 - 4*b**3 - 7*b - 1 - 3 - b. Let n be y(-5). Let u = 75 + n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.22*-0.5.\nAnswer: -7.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + m**2 - 4*m**2 + 2*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-42))\/((-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 2, n: 4, c: 1}. What is prob of picking 2 n and 1 s?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.1*-7.\nAnswer: -315.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 8615*d**2 + 22278712*d - 18100525548.\nAnswer: (d - 4683)*(d - 1966)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3 - 108008*u**2 - 2916432016*u = 0.\nAnswer: -54004, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210686 (base 9) to base 8.\nAnswer: 364447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3)*(-9)\/(-6). Suppose -u*a + 2 = -7. Suppose -a*l + 5 = -1. Is l bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794691?\nAnswer: 43, 41737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = -17. Suppose -t + d = -2*t. Let y = t + 7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s + 60 + 707 = 10*s + 191 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 1595\/(-22). Let f = c - -76. Calculate the remainder when f\/(-14) - 2611\/(-49) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 250 = -k + c, 5*k + 5*c = 1270. Suppose -3*a - k = -7*a. Let w = a - 1. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = y - 6*y - 5*n, -2*y = 5*n - 20. Suppose -3*a = -4*k + 18, -k + 9 - 1 = a. Let i = k + 2. What is the lowest common multiple of i and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 43 = -u + 2*d, 4*d = 3*u + 92. Let v = u - -61. Suppose 2*c - v = -3*c - o, c + 3*o = 5. Solve r + 16 = c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -41217?\nAnswer: 41217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 4*l)*(18*l**2 - 18*l**2 - 13*l**3) - 3*l**4 - 2*l**4 + 2*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1\/56)*(0 + 2). Suppose r*q - 110*q - 34 = 0. Solve 0 = -4*l - 5 + q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**4 - 13*b**4 - 12*b**4 + (-4*b - 3*b + 2*b)*(2*b**3 - 2*b**3 - b**3) as g*b**4 + k + d*b**2 + l*b + h*b**3 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 0, -1 in ascending order.\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198827 is divided by 578?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/172314 and 47\/1292355.\nAnswer: 2584710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011395892 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and 20169\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104086095 and 489.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-19220\nAnswer: -19220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w**(-3\/5)*w)\/w)))**(2\/45) assuming w is positive.\nAnswer: w**(-2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115842378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)**(-10\/17)*(l\/(l**(-2)*l))**13)\/(l\/(l\/(l\/(l\/(l\/l**(-2\/7))*l)))*l*l*l**1*(l\/(((l\/(l**(1\/3)*l))\/l)\/l*l))**(1\/17)) assuming l is positive.\nAnswer: l**(8270\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-21))\/(21\/196)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -823129.69 rounded to the nearest 100?\nAnswer: -823100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 832 - 1668 + 791*w**3 + 843*w**3 + 837 in the form m*w + d + s*w**3 + q*w**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6273188 or -6273186?\nAnswer: -6273186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -2.083. Let f = -0.017 - u. Let x = 6.2 - 6. Which is the closest to x? (a) f (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2883875 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n**2 + 34*n - 33. Let c(m) = -3*m**2 + 7*m - 6. Let z(g) = -22*c(g) + 4*l(g). Factor z(b).\nAnswer: 2*b*(b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z - 1. Let q be (4\/6)\/(z\/36). Suppose -q*c + 447 = -3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 10 = -2*a. Let v(x) = x**2 - 12*x - 11. Let j be v(a). Solve j*q = -0 + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*q + 11*y + 68 = 2*q, 3*q = -3*y - 46 - 2 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let y be (-6 - -59) + h\/1. Is (-13)\/y - 5082\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -10366 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/(120\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k + 84*k = -471 - 1069 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 30. Let f be r(14). Suppose -f*x = -9*x + 371. Let b = x - 32. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 8*p - 4*k = -636, 5*p = 3*k + 3157. Calculate the remainder when p is divided by 55.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/486 and 35\/24?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200.1033 + 0.36.\nAnswer: -199.7433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 6. Suppose -d - 21 = -4*a, 4*a - 3*d - p*d = 9. Suppose -3*k + 1 = -5. Solve -k*z - z = a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)\/(q*q**0)*q\/q**(1\/3)*(q*q**(1\/5)*q*q)\/q)\/(((q\/((q**(-1)\/q)\/q))\/((q\/q**(-2\/11))\/q*q))\/(q**(-6)*(q\/q**(-1\/6))\/q)) assuming q is positive.\nAnswer: q**(-2179\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - i + 4. What is d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 + 1. Suppose 14 = -0*k - 2*k + 5*t, 3*t = 6. Let j(o) = -o**3 - 2*o**2 + 2*o + 2. What is k*r(q) + j(q)?\nAnswer: q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1211988517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 971 and -0.4.\nAnswer: 970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1644, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -154*v + 94*v + 960. Calculate the remainder when 152 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 1. Let t(v) be the second derivative of 1\/2*v**2 + v + 0 + 1\/6*v**3. Give g(r) - 3*t(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7936 + 1221. List the prime factors of b.\nAnswer: 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101350, 102239, 103128, 104017, 104906, 105795?\nAnswer: 106684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (2*10)\/(6\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 19*f**2 + 11*f**3 - 6*f**3 - 5*f**3 to v*f + m*f**3 + u*f**2 + g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59329636 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: (2\/(-4))\/(140\/56)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12845*f - 12778*f + 335 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 2\/7, 63587, 7\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 416?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 - (-369008870)\/(-168). Let q = u - -2196817. Let g = q + -336. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1, 3727, 5, 4 in ascending order.\nAnswer: -1, 1, 2, 4, 5, 3727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.92 and -3.2.\nAnswer: -153.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1975.4 + 1.\nAnswer: -1974.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*v - 34*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 31 = g. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - 0.5. Let m = -0.7 - d. Suppose 0 = -3*g + 3. Sort g, -0.2, m in decreasing order.\nAnswer: g, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.425. Let g = s - -0.077. Let y = 0.07 - g. Round y to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.4149063 to one dp.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:50 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49149 - -4092. Let d = -27236 - a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 8, g: 4, o: 2, t: 1}. Give prob of sequence go.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 1, k: 8}. What is prob of sequence kk?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 872441320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(64))*-1)\/((sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15399313 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 133 and 39040459?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 129. Let m(f) = -10*f**3 + 5. Let i(d) = -17*d**3 + 5. Let c(o) = -69*o**3 + 19. Let q(z) = -2*c(z) + 9*i(z). What is t*q(w) + 7*m(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*y + 105*y + 288 + 160*y + 16*y with respect to y.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 23*s + 56. Is v(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263190?\nAnswer: 2, 5, 59, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, e: 5, f: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 612535 = 48529. Let k = 163046 + p. Suppose -k + 1028312 = -c. What is c rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -5*q**8\/96 - 47*q**7\/84 + 7*q**6\/16 + 47*q**5\/24 - 35*q**4\/24 + q**2 + 4*q - 208. Determine i so that d(i) = 0.\nAnswer: -7, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let b(g) = 12*g. Let c(v) = v. Let w(z) = -b(z) + 18*c(z). What is w(i(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116888196518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8399 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -0.8. Let j = -0.3855 + -0.0145. Let u = 67 + -66. What is the nearest to c in j, 6, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w - 8*w**3 - 25*w + 2.\nAnswer: -8*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1278.87 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + (24 - 38) + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20440*f + 10056494. Give c(492).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 - 4 - 3 - 1 - 4*s**3. Let c(z) = z**3 - z**2 + 3. Let t(h) = 7*c(h) + 2*u(h). Give t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67989?\nAnswer: 3, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -42, -95, -162, -237, -314, -387?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1 (c) -4860636\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181713*l**2 + 90858*l**2 + 44*l**3 - 12*l**3 + 2*l**3 + 90855*l**2.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 152200958.\nAnswer: -30440191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/225 - -298\/225. Let g = -2 + 3. Is g less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((111\/27 + -4)*-15)\/((-20)\/36). Let t = 16 - 12. Solve t = -5*k + m*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 320.981558 and 42?\nAnswer: 278.981558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**(-7\/4)\/(t**15*t)**10 assuming t is positive.\nAnswer: t**(-146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43171822 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -798*o**2 + 1141 - o + 799*o**2 - 200 + 3*o to a + c*o + i*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -98.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-15)*-1*3. Suppose k*s + s = -4*p - 28, -25 = 3*s + p. Let d be 12\/s*(-8)\/6. Solve 0 = d*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuffxxtuxtt. What is prob of sequence xtx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 9487 and 9486 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244065171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10039 is divided by 10035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1768197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(3\/2)\/((-21)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 4:59 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159007 - -10150.\nAnswer: 169157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 3, y: 2}. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12807137 and 227885.\nAnswer: 64035685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -g + 55. Sort -4, 1, g in decreasing order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9272412, -9272429, -9272480, -9272583, -9272756, -9273017, -9273384, -9273875?\nAnswer: -9274508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -543846*p**4 + 120*p**3 - 13160086*p**2 - 3 wrt p?\nAnswer: -13052304*p + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-70)\/12*(-16)\/15\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5040 divided by -126.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -0.1, 19, 2, -2\/11, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 5) to base 3.\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5786558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -128 from 326469123.48.\nAnswer: 326469251.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 16*o + 48. Let h = 18 + 2. What is the lowest common multiple of h and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5\/7 - 2148*n**4 - 110886*n**3 - 12123084*n**2\/7 - 53403723*n\/7 - 70843680\/7 = 0.\nAnswer: -4960, -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -527*b. Let x(z) = 3197*z**2 + 322. Let k(p) = 149*p**2 + 15. Let l(y) = 322*k(y) - 15*x(y). Determine l(r(t)).\nAnswer: 6387767*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1262 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2447 + 2443. Let g(n) = -n**3 - 6*n**2 - 4. Let q(h) = h**2 - 1. Give i*q(a) + g(a).\nAnswer: -a**3 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)**(2\/127))**(-48)\/((l*l**(-2\/9)*l*(l\/(l**5\/l))\/l*l)\/(l**1)**36) assuming l is positive.\nAnswer: l**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 3797862*l + 3797865.\nAnswer: -3*(l - 1)*(l + 1265955)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4038\/865 - -11\/346. Calculate the common denominator of 113\/20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1816854? (a) -0.02 (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 251*z**2 + 1066*z + 19964. What is j(-247)?\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.021 * 2.621573.\nAnswer: 0.055053033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 517491699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212774.\nAnswer: 2, 191, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, -13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-2)\/(sqrt(250) + sqrt(250)*1).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -352694935\/24 + 14693203. Let f = -2421 - t. What is the common denominator of f and -101\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - 2938*s + 759303 = 0. Calculate s.\nAnswer: -3177, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:06 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-145)*((-12)\/(-21))\/(12\/42).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 1089*n + 7476.\nAnswer: 3*(n + 7)*(n + 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:29 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i)\/i**(3\/7) assuming i is positive.\nAnswer: i**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -66*s**3 + 2*s**2 + 13*s + 4. Does 99 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 265479\nAnswer: 1\/88493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 7. Suppose 2*t - 4 - 8 = 0. Let r(z) = -6 + z + t*z - 9*z + 6*z. Give 5*b(k) - 6*r(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11780631 - -3?\nAnswer: -11780628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 125 = -2*m - 131, m - 4*x + 12 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((112\/(-20))\/(-7))\/((-2)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4170082?\nAnswer: 2, 7, 19, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**2\/5 + 190*q + 136\/5.\nAnswer: -2*(q - 68)*(7*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 2, -2.\nAnswer: -6, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-9)*198\/(-154)*(-56)\/(-32)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70614 + 19*n + 70614.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-105))\/(2\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -11 (b) 0.2 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5294)\/5298 - 3\/(-3). Let g = -108599\/13245 - z. Calculate the common denominator of -37\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 297, -0.5, 2, -0.047.\nAnswer: -4, -0.5, -0.047, 2, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/15 + 32*s\/15 + 32\/5 = 0.\nAnswer: -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/((-12)\/336). Solve -3*w + 5 - u = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/3484)\/((-3)\/5*(-355)\/284)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -618.7434125082 - 1.\nAnswer: -619.7434125082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 14064*i = -14065*i + 28126*i + 43, 4*p + 4*i - 8 = 6*p + 12 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(5\/4))\/u)\/(u\/(u\/u**3)*u*u))\/(u*u\/(u**0\/u*u))**(-32)*(u\/u**4*u*u\/u**(-2))\/(u\/((u*u\/u**(-5)*u)\/u*u)*(u**6\/u)\/u) assuming u is positive.\nAnswer: u**(257\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voooovoooovo. What is prob of sequence ov?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21 + 9\/(-42)*-8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 54. Let o(a) = -12*a - 3. Let u(q) = q**3 - 14*q**2 + q - 15. Let c be u(14). Let d be o(c). Calculate the greatest common factor of d and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((74\/(-38) + 2)\/2). Let d = c - 35. Solve 4*y - d*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16152*i - 16159*i - 31 = 2*q, 10 = -2*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-7)\/(-5))\/(86\/(-215))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 122 + 163. Let w(u) = -y*u**2 + 4*u - u**3 - 3 + 2*u + 101*u**2. Let b be w(7). Are -10 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138.5595 at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 16 = 3*t + 4*o, 2*t - 26 = -2*o. Let r(w) = w**2 - t - 13 - 11 - 18*w + 3*w. Give r(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + j + 146 = 0, -5*g - 109 + 371 = 3*j. Suppose -159*s + 160*s = 75. What is the highest common divisor of g and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 373025.3 days?\nAnswer: 32229385920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535272*0.3.\nAnswer: -160581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15 - (7 + -4) - (-6 + 0). Let l(u) = u**3 + u. Let j(w) = 6*w**3 + 13*w**2 + 16*w - 17. Let p(h) = -j(h) + 5*l(h). Give p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-24))\/7*(-15)\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34548145.\nAnswer: 5, 6909629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 21 - 8*v**2 + v**2.\nAnswer: -2*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101792, 101789, 101786, 101783, 101780, 101777?\n\"Answer: -3*t + 101795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.6 and -0.5?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31835, 40973, 56203, 77525, 104939, 138445, 178043?\n\"Answer: 3046*s**2 + 28789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let z(y) be the second derivative of 5*y + 1\/3*y**3 + 0*y**2 + 0. What is u(z(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1344\/(-48))\/(336\/384).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let u = 0.2 + f. Let y be (2160\/32 - 12)\/(-1 - 8) - -6. Which is the second biggest value? (a) -1 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - ((-60)\/14 + 44\/154). Let w(n) = n**3 + 7*n**2 - 51*n - 163. What is the units digit of w(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (210*200\/45)\/(2\/1320). Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**6\/30 + 16*n**5\/15 - 32*n**4\/3 + n**2\/2 + 15*n + 67. Let z(i) be the second derivative of l(i). Factor z(m).\nAnswer: -4*m*(m - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*v = -19*v + 1280 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 1, v: 8, x: 5}. Give prob of picking 1 x, 1 v, and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 22, 9, 4, 1\/3, 1.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -25 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167548, 166368, 165188?\nAnswer: 164008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*c + 146*c + 3070 = -42*c. Let w(k) = 10 + 3*k + 3*k + 7*k - 3*k - 4*k**3. Let i(z) = -z - 1. Determine c*i(u) - w(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241*l - 1014 + 1014 - 60*l)*(-5 + 2 - 17).\nAnswer: -3620*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84153 + -1262251\/15. Let t = -44\/15 + 88\/5. What is the common denominator of w and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(490) + (sqrt(210)*3)\/sqrt(10))\/((sqrt(847) + sqrt(847) + sqrt(847) + sqrt(847)*2 + sqrt(847) + sqrt(847))*6*6).\nAnswer: sqrt(3)\/882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -947\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3530 = -4*l + 614. Suppose j - 1048 = -2*h, -5*j - l = -2*h - 9*j. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -901*a**5\/6 - 13*a**4\/24 - 143*a**3\/6 + 9*a**2 - 3*a - 18. What is the second derivative of u(k) wrt k?\nAnswer: -18020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l**0)\/(l\/((l*l**(-1\/3)*l)\/l))**33)\/((l*l*l**(4\/9)\/l*l)\/l**(3\/7))**(-21) assuming l is positive.\nAnswer: l**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-285)\/(-450) + (-8)\/10. Let p = 856.1 - 855. Which is the nearest to 1? (a) p (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -0.5, -0.3, 22, -6, -31?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 405593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -486 smaller than 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -784, -146, -343 in increasing order.\nAnswer: -784, -343, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 10*h + 14. Let l be g(-9). Suppose -14 = -u - u + 4*r, 0 = u - l*r + 8. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 23*u + 175. Let w be y(28). Let r(j) = -j**2 - 4*j. Let l be r(-2). Calculate the remainder when (w\/30)\/(l\/24) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*o**2 + 12*o - 12*o)*(-o**3 + 7*o**3 - 4*o**3 + (0 + 2*o + 0)*(0*o**2 + 5*o**2 - 3*o**2) + 6*o**3 - 6*o**3 + 13*o**3).\nAnswer: 323*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**3 - 20*j**2 + 23*j - 235. Is n(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 8*y - z - 2406, -y = -2*z - 474. Differentiate -y*m - 422*m - 159 + 766*m wrt m.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - -0.08. Let h = 0.53 + t. What is h rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2. Suppose -30 = 4*c + 5*w - 3, -5*w - 21 = 2*c. Let v(l) = 3*l. Let s(y) = -3*y. Let k(d) = c*v(d) - 2*s(d). Determine a(k(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173289 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 11 + 0)*(10*n - 15*n - n)*(0 + 2 - 1)*(9 - 18 - 15)*(-1 + 0 + 2).\nAnswer: 2016*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -221169 and -3328.\nAnswer: -224497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 37*b**2 - 2*b + 4. Let d be q(0). Sort d, 70, 2, 1 in increasing order.\nAnswer: 1, 2, d, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 divided by 55?\nAnswer: 3006\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 536*b**3\/3 + 5594*b. Let a(p) = 3*p**2. Determine a(d(n)).\nAnswer: 3447552*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35660*n + 71196*n + 3 - 35544*n.\nAnswer: -8*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 429 = -6*l. Suppose -o + 5*o - 3*x = -l, -14 = -o - 4*x. Calculate the smallest common multiple of (-16)\/o*126\/24 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6889211 - 0.1?\nAnswer: -6889211.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 3*h + 188 - 206 = 0. Sort h, 5, 144, -3, -4.\nAnswer: -4, -3, h, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1604 + 1606. Solve 2*z = p*d + 6, -3*z + 5*d - 15 + 32 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2090, 2096, 2102, 2108?\n\"Answer: 6*k + 2084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 15. Let c be n(-6). What is the nearest to 2\/5 in 2\/15, 3, c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/15 + 112268*t\/5 + 4726538934\/5 = 0?\nAnswer: -84201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -15219 less than -15139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 5*f**2 + f + 2. Let h be z(-5). Suppose 5*i + 1 = 4*i - d, 0 = i + 5*d - 3. Sort h, i, 2.\nAnswer: h, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1171, 2386, 3599, 4810, 6019, 7226?\nAnswer: 8431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 19*v - 18*v - 6931, -4*s + 3*v + 13847 = 0. What are the prime factors of s?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 2\/891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 16, y: 2}. What is prob of sequence kky?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*l**2 + 14*l**2 + 1 + 0 + 2*l**3 + (l - 1 + 1)*(l**2 - 2*l**2 - l**2) + 6*l**3 + 6*l - 6*l.\nAnswer: 6*l**3 - 12*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**3 + 0 + 14\/5*u**5 + 8\/5*u**2 + 46\/5*u**4 + 0*u = 0. What is u?\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 97478\/17000 - 16\/64?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -53.1. Which is the smallest value? (a) 5 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(288) - (sqrt(72)*1 + sqrt(72))\/sqrt(4)) + 0 + sqrt(36)\/sqrt(2) + sqrt(18)*-2 + 0)**2.\nAnswer: -12*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(3087) - (3 + sqrt(7))*-5) + -4.\nAnswer: 11 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -81. Find the third derivative of 20*z**n + 31*z**6 - 6*z**6 + 11*z**2 wrt z.\nAnswer: 3000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1157, -1144, -1121, -1088, -1045, -992?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/26 - (-50)\/4. Solve 4*s + 9 = b, 4*b - w = b + 5*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2 + 4. Let a(d) = 2 - f + 3 + 2*d. What is the tens digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 8*q + 0*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-812*c + 811*c + 130*c**2 - 10*c**2)*(-2 + 2 + 6*c + 2).\nAnswer: 720*c**3 + 234*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:48 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -83, -120, -155, -188, -219, -248?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/11 - 3148*h**2\/11 - 3150*h\/11 = 0. Calculate h.\nAnswer: -1, 0, 1575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6010 - -7315. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1985.54 - -1985.6. What is the nearest to 1 in d, -1\/2, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 303*w**2\/5 - 1565*w - 7521\/5.\nAnswer: (w - 327)*(w + 1)*(w + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*(-4)\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:00 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112.2*359.\nAnswer: -40279.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 112\/(-10) - (-570)\/(-475)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-1146)\/(-203)) + (-10)\/35.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*a - 17. What is the units digit of 168\/27 - a\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 239\/7. Sort 4, 0.3, b in decreasing order.\nAnswer: 4, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 264006620, 528013243, 792019866?\n\"Answer: 264006623*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 4. Let r be l(8). Suppose -2*i + 4*c + 0*c = 6, -r*i - 3 = c. Let k(u) = -2*u**2. Give k(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 42, 29, 16, 3, -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 1. Let p(j) = j**2 - 2*j - 6. Let w be p(5). What is the tens digit of l*(-3)\/(w\/(-69))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**2 + 650*a - 72.\nAnswer: -2*(a - 36)*(9*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((2499\/68)\/21)\/(3*(-5)\/(-12))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:32 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008 divided by 4?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -v - 3*n + 124, 2117 = 5*v - n. Let q = -242 + v. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/2661149 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*v - 4*k, -4*v - 2 + 5 = -5*k. Let i(h) = 16*h + 52. Calculate the least common multiple of i(v) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5*4\/(-30)*180\/(-960)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 4:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 2 - 2 + (0*t - 3*t + t)*(-3 + 2*t + 3) - 2*t**2 - 1 + 1 + 59 + 1 - t**2 - 57 + 9*t.\nAnswer: -6*t**2 + 9*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 267 and 378?\nAnswer: 33642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -3, 5, 6275\/1762?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -7*s + 5*t + 34, -4*t - 8 = -4*s. Let y = -0.004 - -0.154. What is the closest to y in s, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270991464 is divided by 227?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 554464763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:20 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*14\/(-4)*2\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 + 3*i + 4. Let v(j) be the third derivative of -j**5\/10 - j**4\/8 - 5*j**3\/6 + 10*j**2. Let d(l) = 4*v(l) + 5*z(l). Calculate d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z - 22. Let p(w) = -18*w + 43. Calculate -10*i(k) - 4*p(k).\nAnswer: 2*k + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*o = -2*o + 1, 33 = 3*k - 4*o. Let i(g) = g**2 - 7. Let s be i(-5). Let j be (3\/(-3))\/((-1)\/s). Solve -k - j = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**2 - 15*x**2 - 3*x**3 - 69*x**3 wrt x?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 19*y - 13. Let l be z(18). Let d = l + 65. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 19395*c**3 + 370135*c**2 - 682065*c + 331330 = 0 for c.\nAnswer: -3898, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*j - 22 + 81, 3*i = 5*j - 64. Let r be ((-1)\/2 - 1)\/(42\/(-448)). Let t = r - j. What is the biggest value in t, 1\/2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227685844 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 2*k - 1. Let c(f) = 5*f**2 + 10*f - 57. Let w(v) = c(v) - 2*r(v). What is w(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((-96)\/(-72) + -20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2)\/((-40)\/(-1460)). Let p = 107 - k. Let m(d) = -d**2 - 5*d - 4. Calculate the smallest common multiple of m(-2) and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374978 divided by 251?\nAnswer: 5478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1219, -1220, -1221, -1222, -1223?\n\"Answer: -c - 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214557*a**3 - 1724*a**2 + 4*a + 2?\nAnswer: -1287342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*c)*(2 + c**3 - 2) - 2*c**3 + 4*c**4 + 39*c - 149 + 237 - 91.\nAnswer: 2*c**4 - 2*c**3 + 39*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - -399b?\nAnswer: 397a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -763*n**3 + 253*n**2 + 113*n - 2 - 221*n + 108*n + 35*n**2 wrt n.\nAnswer: -4578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -28. Let y = -2\/35 - -6\/7. Which is the smallest value? (a) y (b) r (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/700 + (-418)\/77 - -83\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.83 - 802?\nAnswer: -884.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20890 is divided by 146?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151288082 divided by -11.\nAnswer: 13753462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98.5 in 0.46, 28, 1.01?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -2*h**4\/3 + 4*h**3\/3 - 9*h. What is the second derivative of z(q) wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 146.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/11258 and 4\/195.\nAnswer: 168870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*o + 87, -3*o + 201 = -0*x + 2*x. Calculate the smallest common multiple of 360 and x.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.505 + -0.095. Let m = a - -9.6. Let q = m - 7. What is the closest to q in 8, -4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/11 + 1525\/6710.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7002.0263683 - -43.1416417. Let x = -7045 + y. Let q = -0.169 + x. What is q rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11863069?\nAnswer: 947, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeoneoooeeeoneeej. What is prob of picking 3 e and 1 j?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -8 + -14 - (-9 + 3 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1025 + -1018. Let a(r) be the second derivative of 0*r**3 + 0*r**2 + 11*r + 0*r**4 + 0 - 1\/210*r**k - 1\/75*r**6 - 1\/100*r**5. Factor a(u).\nAnswer: -u**3*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**3 + 148*v**2 + 5. Let w(s) = 5*s**3 + 52*s**2 + 2. What is 2*f(o) - 7*w(o)?\nAnswer: -3*o**3 - 68*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16*(-38)\/(-4) + -2. Let l = -4 - -7. Suppose -m = -l*n + 3*p - 0*p, -4*p = -2*n + 90. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a = -10*a + 11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -3, 5, -1, 3.\nAnswer: -3, -1, 3, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5 + 4 - 3*w**2 - w + 9*w**2 + 7. Let n(s) be the first derivative of -17*s**3\/3 + 3*s**2\/2 - 17*s + 3. Calculate -11*a(o) - 4*n(o).\nAnswer: 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 202?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216.38 - -4.62. Let m = o - 211. What is the smallest value in -1\/7, 1, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r, -3*r - 190 = -4*v - 5*r. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1155 - -2624. Solve 1463 = 2*q + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.26871ml in litres?\nAnswer: 0.05926871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 13) to base 8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 343.4 and -25.04?\nAnswer: 368.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 7*t**3 - 2 + 6*t**3 + 3*t + 5. Let b be q(-3). Suppose b*o = -2*o + 20500. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p + 4*l + 14, -20 = 4*l. Let r be (1\/2)\/(p\/(-24)). What is the units digit of 6\/((-9)\/(-24)*r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 22308253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73500146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(4\/((-56)\/35)))\/(84\/3990)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8*t = -27, 4*p + 4*t = 2*t - 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (1 + sqrt(99)*2)**2*2*3).\nAnswer: -14280 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -23*h + 24. Sort h, -0.3, 4, -2\/3 in ascending order.\nAnswer: -2\/3, -0.3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 9*m = -46. Let g = 52 + m. What is the third derivative of 10*b**6 + 46*b**6 - 15*b**g + 43*b**2 wrt b?\nAnswer: 4920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -36. Suppose 159 + q = 2*l + 2*z, -z = -4. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 23*y + 73. Let f be j(-19). Which is the nearest to -2\/11? (a) 1\/2 (b) f (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 2*r - 6, r - 2 + 34 = 4*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(10)\/(sqrt(2)*2)) + (sqrt(5) - (sqrt(80)*2 + sqrt(80) - sqrt(5))))**2 - (sqrt(5) - (sqrt(2240)\/sqrt(7) - sqrt(5)))*2.\nAnswer: 12*sqrt(5) + 1805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 - (-1 - -3) - (-8995)\/(-1638) and 179\/30?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -86*d**2 + 31*d - 4. Let b(z) = -85*z**2 + 20*z - 3. Give -3*b(t) + 2*q(t).\nAnswer: 83*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1608 (base 13) to base 12.\nAnswer: 1a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7507*h = 7565*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 1 + 4*t - 2*t**2 + 55*t**3 + 1 - 3*t. What are the prime factors of b(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(2 - 2 + t)*(1 - 2 - 1)*(5*t**2 - 3*t**2 - 4*t**2) to g*t + y + f*t**3 + o*t**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6161 and 6370373.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*c**5 - 7325447*c**4 + 834473603*c**2.\nAnswer: -2460*c**2 - 175810728*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -13 (c) 0.0077 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 30 = 6*d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 22*a - 68. Let p be i(-4). Let n = -1 + -1. Sort n, p, 3 in increasing order.\nAnswer: n, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288.863 + 470.79. Let h = -182 + c. Let j = h - -13.973. What is j rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7434*q + 7434*q + 323*q**2 + (4 + 2*q - 4)*(-3*q + q + 0*q) in the form n + l*q**2 + t*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + 129. What is the nearest to 0.2 in x, -2, -5, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 5*b. Let r(o) = 35*o**3 - 35*o. Let g(l) = -20*f(l) - 3*r(l). What is the second derivative of g(i) wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -157*1) + (-81)\/(-27). Let t = k + -156. Solve t*f = -3*q + 1, -2*q + 4*f = f - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714737.0725 rounded to the nearest 100?\nAnswer: 1714700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47361, -94722, -142083, -189444?\nAnswer: -236805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/13)*d*d)\/d**(2\/5))**(8\/3)\/((d**(-3)\/d)\/(d*d*d**(-7))*(d*d**(-5))\/d**(-7)) assuming d is positive.\nAnswer: d**(44\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -24, -39, -54, -69?\n\"Answer: -15*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5814\/152*2760\/(-1242)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8637 <= -8656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 22030021950 to the nearest 100000.\nAnswer: 22030000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 106874?\nAnswer: -106838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -8.663?\nAnswer: 190.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 28530*l - 57072.\nAnswer: 3*(l - 9512)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.109, 0.325, 3.\nAnswer: 0.109, 0.325, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 3*l = 1275. Let w(n) = -13*n. Let h(o) = -180*o. Let g(v) = l*w(v) - 6*h(v). Let y(i) = 2*i**2 - i + i. Calculate y(g(u)).\nAnswer: 1250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:45 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8, 0 = -b - 4*f + 2 + 5. Let k(h) = 1. Let q(m) = -m - 2. Give b*q(i) - 2*k(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6388374 to the nearest one thousand.\nAnswer: -6388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 12. List the prime factors of f(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -248, -282, 8, 724, 1968, 3842, 6448?\n\"Answer: 17*w**3 + 60*w**2 - 333*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0.5, 31\/3, -5, 32?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -759 - -764. Let j = 1.98 - -0.02. What is the smallest value in u, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5908 is divided by 459?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3106, -11072, -24422, -43156, -67274, -96776, -131662?\nAnswer: -171932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -729, -1153, -1577?\n\"Answer: -424*w - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9334?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.01 - 0.01. Which is the fourth biggest value? (a) 0.3 (b) -0.4 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 28\/(-300)*-545 + (-4)\/(-30)?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11 and -4\/5288433?\nAnswer: 58172763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43 (b) -0.31 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8949 - -13013. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 35*n + 24 = 0. Let b(l) = 155*l**2 + 13*l - 51. Is b(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 - (-3 - (8 - 11)) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70683.92844 + -70686. What is q rounded to 2 dps?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 2.05. Let l = -1.5 - x. Let o = -0.08 - -3.08. What is the second biggest value in o, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(9\/45 + (-14)\/20). Solve -74*u - f + l = -79*u, -3*f = 2*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from qeffqlfflfqfqjjf?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100213 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:29 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174828 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 8*g - 4*g. Find the second derivative of -7 + 26 + 10*b**2 - g + 3*b wrt b.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -975087, -975082, -975077, -975072, -975067?\n\"Answer: 5*l - 975092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let i be (-207)\/(-6)*6\/9. Let s = r + i. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 + 691372*o\/17 + 9360080\/17 = 0. Calculate o.\nAnswer: -230\/17, 20348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + 8\/(-16). What is the closest to -2\/7 in -0.5, 2\/21, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57080, -1, -2499 in decreasing order.\nAnswer: -1, -2499, -57080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqqwwqwqqwqwqqqqq. What is prob of picking 2 w?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 4. Let d be y(-3). Is d >= -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 214, 67.\nAnswer: 5, 67, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25460533\/8 or 3182567?\nAnswer: 3182567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -20?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994860.\nAnswer: 2, 5, 13, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 226621 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 76. Let m(n) be the second derivative of -1\/30*n**5 + 0*n**4 + 0 + 1\/9*n**3 + 0*n**a + 2*n. Factor m(p).\nAnswer: -2*p*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 11*z + 32. Let l be k(6). Put -4, l, -2 in increasing order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 88*v - 768. Determine u(-34).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 1. Let c(q) = 3*q + 3. Let n = -187 + 191. Let u be (7 + -6)\/((-3)\/30). Calculate n*c(a) + u*h(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 7:18 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, n: 7}. Give prob of sequence nxn.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07625 - 4.07625. Let u = 0.01 + 3.99. Which is the third smallest value? (a) -0.019 (b) u (c) w (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1510 = -180*m - 122*m. Suppose b + 2*n = -3*n - 2, 2*b = 2*n - 4. Let d(t) = 3 - 10*t + 9*t - 3*t. Let l(u) = -9*u + 7. Calculate b*l(o) + m*d(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4862 - 3535.92.\nAnswer: 1326.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 1119?\nAnswer: 7833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -412 and -3700\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3. Suppose 14 = 4*o + 8*g - 3*g, -4*o + 2*g = 0. Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 16 = 8*v + 3*n, -6*n - 79 = v. Put -2, 0.9, -3\/2, 2, v in ascending order.\nAnswer: v, -2, -3\/2, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*x**2 + 0 - 2\/7*x**3 + 6\/7*x.\nAnswer: -2*x*(x - 3)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(-1\/22)\/i*i)\/i)*i)\/(i*(i\/i**(-1\/7))\/i*i))**(2\/47) assuming i is positive.\nAnswer: i**(139\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21103 - 2424?\nAnswer: -24032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 46225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -90. Suppose q*m - 23 = f, 4*f = m + f - 19. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*l - 3*l - 29 = 0, 0 = -5*j + 5*l + 45. Suppose 2*t = 4*t - 5*q - 22, 3*t = -2*q - j. Round t to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3315 = -2*a, 5*w + 3285 = -0*a + 2*a. Suppose -4*b = -4258 - a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, -0.111, -1\/3.\nAnswer: -3.3, -1\/3, -0.111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 4*w + 4*w)*(-77*w + 77*w - 20*w**2).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 677, 1278, 1879, 2480, 3081, 3682?\nAnswer: 4283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 435*r - 176. Is k(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-58 + 56 + (1 - 10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162.6 - 163. Let f = 7.7 - -0.3. Let v = f + -11. What is the smallest value in -0.05, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40324.45l to millilitres.\nAnswer: 40324450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 40*c**2 - 5603*c + 426. Give d(140).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 150*l**3 - 405*l**2 - 21600*l + 162000 = 0.\nAnswer: -12, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (215\/(-20) + 11)\/((-8)\/(-320))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bblbblb.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 0.03 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-10))\/(1\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -5, 2, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58851302 divided by 1?\nAnswer: -58851302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-912)\/(-36) + -24)\/(-1 - 1). Let v be (-5)\/2 + (1 - -2). Which is the closest to v? (a) -5 (b) 2\/21 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012113244 (base 5) in base 14?\nAnswer: 3bb255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (11 - -3) + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 188, -6, -4, 1, -5 in descending order.\nAnswer: 188, 1, -3\/2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = 8. Let j be f\/1*8\/(-12). Suppose 4*y = j - 24, 3*p + 4*y = 25. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o. Let n(d) = 4*d**2 - 5*d + 2. Let l be ((-3)\/12*2)\/(12\/24). Calculate l*n(y) + 6*b(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9315*l + 16*l**2 + 9315*l.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, 32, -1.\nAnswer: -2, -1, 0, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 18*d - 9. Let p be (-2)\/(-4) - (-58)\/(-4). Let l(y) = -y + 1. Let b(n) = p*l(n) - 2*x(n). What is the tens digit of b(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**9\/432 - j**5\/12 - 14*j**3\/3 + 3. Let g(p) be the third derivative of v(p). What is the second derivative of g(m) wrt m?\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2850 = 5*j, -3*y - 4*j + 585 = -2*y. List the prime factors of y.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 303750*j**2 + 5511855 wrt j.\nAnswer: 607500*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110188000 by 1625.\nAnswer: 67808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13 - 11*p + 8*p - 5*p. Is a(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -663062427*k*l**2*y + 2*k*l*y + 26775153*k*l - 6*y wrt l?\nAnswer: -1326124854*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m\/m**1*m*m*m**(-6))**(3\/32)\/(m**(-6)*m**(-1\/6))**(-9\/2) assuming m is positive.\nAnswer: m**(-891\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 9*j**2 + 4*j - 2. Let y be x(-8). Suppose 5*q = y + 90. 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: Let i(v) = 127885*v + 511579. Determine i(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Suppose -14*k + 13 = -1. Let f be (1\/(k\/3))\/(9\/(-15)). Put r, -1, f in descending order.\nAnswer: r, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280360 and 268535?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(56)\/sqrt(7)*4*2 + -4 + 2.\nAnswer: -64*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.5, -5, 1270\/7, 293\/5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 55 = 4*x. Let n be 18\/(-21) - 2\/14. Let z be 9 + 0 - (n - 1). Calculate the greatest common factor of z and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1096 - 1094. What is the second smallest value in 5, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Is 6 a factor of (-27 - o)\/((-6)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Suppose 0 = 3*v - 4*m - 11, -6*m - 34 = 3*v - m. Sort 5, n, v.\nAnswer: v, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2510, -5014, -7518, -10022, -12526, -15030?\nAnswer: -17534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5940 by -1980.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*g**5 + 2691*g**4 + 246918*g**3 + 737028*g**2 + 525720*g + 32832 = 0. What is g?\nAnswer: -38, -2, -1, -2\/29, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -244.92712188.\nAnswer: -247.92712188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*g**5 + 14*g**5 + 4*g**6 + 33*g**6 + 22*g**2 wrt g.\nAnswer: 4440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((14 - 16) + (0 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 4*c - 3. Let h be w(3). Let v be (30\/(-4))\/(3\/h). Let g = 7 - 4. What is the greatest common factor of g and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43485*k**4 + 2*k**3 + 2*k**2 - 17233 wrt k.\nAnswer: 1043640*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o**2 + 24*o - 311. List the prime factors of m(14).\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q + 1. Calculate o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/19222034 and -79\/11128546?\nAnswer: 211442374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -638, -38053, -4, -1, 4 in descending order.\nAnswer: 4, -1, -4, -638, -38053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 98, 232, 422?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2540.842l to millilitres.\nAnswer: 2540842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -887\/166 at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 > 65345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14 - 45595*o**2 - 45585*o**2 + o**3 + 91164*o**2 + 22*o. What is v(14)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*s**3 - 276*d**3*s + 7514*d*s**3 - 233*d*s + 3*s**2 wrt s.\nAnswer: 6*d**3*s + 45084*d*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 2. Let q = -5.4 + 5. Let f = q - 0.1. Which is the closest to 0.1? (a) -2\/7 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 26, -0.5, -0.2, 5 in decreasing order.\nAnswer: 26, 5, -0.2, -0.5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46105 divided by 9?\nAnswer: 46105\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87.1 * -0.028.\nAnswer: -2.4388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 442489981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3696 is divided by 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 777?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 0*y - 2*y - 12*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(3483\/(-54)))\/(((-27)\/(-9))\/(-99))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let m(g) = -g**3 + 4*g**2 + 4*g - 5. Suppose -5*d + 3*d - 8 = 0. Let v be m(d). Let r(o) = v - 15*o - 107. Calculate r(a(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 89425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-5)\/((-60)\/(-258)). Suppose -l = -0*l. Suppose l*j + j - n = 0. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10475877 or 10475878?\nAnswer: 10475877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 5, -6, -9, 3, 287.\nAnswer: -12, -9, -6, -4, 3, 5, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:15 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2522509 or 2522510?\nAnswer: 2522510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34129261 < 34129265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + q)*(-1309805 - 31623*q**3 + 1309805).\nAnswer: -31623*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -23*x + 29*x + 16378, -2*v - 5*x + 16422 = 0. Does 59 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Let q be ((9 + -18)\/(-18))\/(2\/(-8)). Sort -1, 4, t, q.\nAnswer: t, q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-120)*15\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, j: 14}. What is prob of picking 3 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*v + 10, -3*v - 40*j + 41*j = -6. Solve 5*o + 2 = -2*c - 4, -5*o - 14 = -v*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:20 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.3000448 - -13.3. What is x rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 16*k + 15. Calculate j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - -10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145522 or 145002?\nAnswer: 145002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*c = -276*c + 9*l + 70, -5*c - 4*l = 37 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 + 1 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6091756 and -0.02.\nAnswer: -6091756.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5502 = 5*v - 1757. Let c = 7\/52 - 465\/364. Calculate the common denominator of c and v\/140 + 1\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 1324*n**2\/5 - 215096*n\/5 + 1338672\/5.\nAnswer: -2*(n - 6)*(n + 334)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwcc when four letters picked without replacement from {v: 3, c: 5, w: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2\/6 + (-14)\/(-30)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1894490 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*36\/18\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013012221 (base 4) to base 8.\nAnswer: 2070651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*32\/6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2862 + -739. Does 107 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(((-360)\/32)\/15). Factor -2*p**5 - 289*p**4 + 249*p**s - 24*p**2 - 68*p**3 - 8*p**2 - 2*p**5.\nAnswer: -4*p**2*(p + 1)**2*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51\/5, 1.7, 1\/2 in decreasing order.\nAnswer: 51\/5, 1.7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 1\/15*s**6 + 0*s**3 + 0 + 0*s**4 - 2*s**2 + 0*s**5 - 4*s. Differentiate q(o) with respect to o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -588.5 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*w + 1 - 6, 0 = -4*w + r - 5. Suppose w = -16*p + 23*p - 7. Solve 13*m - p = -1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3127*c = 3116*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 - t**4\/3 - 2*t**3\/3 + 12*t**2. Let n be m(7). Is 30255\/33 - 2\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27088 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*z - 399, 0 = -6*s - 4*z + 2*z + 806. Calculate the greatest common factor of s and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.531 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/105*30\/6*2\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632317, -1264465, -1896613, -2528761, -3160909?\nAnswer: -3793057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/16)*a**(-4)*a**(8\/7)*a**4*a*a*a)**(-12) assuming a is positive.\nAnswer: a**(-1665\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, p: 1}. Give prob of picking 2 p and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 0, -2*i = -6*q + 2*q + 2134. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -25*c**5\/4 - 200*c**4\/3 - 305*c**3\/6 - 15*c**2 + 35*c + 4. Find y such that h(y) = 0.\nAnswer: -6, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:45 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -444 by 12.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 4429110 in increasing order.\nAnswer: -8, 2, 4429110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (-2*sqrt(252) - sqrt(252)))*-3 - sqrt(252) - -3*(-2*sqrt(252) - sqrt(252)) - -6*(sqrt(252) + 1)*2) + -1 + 2.\nAnswer: -60*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:46 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n. Let k(w) = w**2 + 2. Let y(p) = -2*p**2 - 3. Let x(f) = -3*k(f) - 2*y(f). What is x(a(o))?\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 6\/121483?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 6*r - 9*r - 11*r + 16*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 1 + 3. Let x(a) = a**3 - a**2 + 3*a + 1. Let j = -31 - -35. Let p(v) = -j*v**2 - 4 + 4*v**2 + 3 - v**2 + v. What is s*x(m) - p(m)?\nAnswer: m**3 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) 290 (d) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -20*l**2 - 11. Let b(z) be the first derivative of 7*z**3\/3 + 4*z - 128. Calculate 11*b(c) + 4*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*j + 12 = 0, 4*y = 2*j - 5*j + 28. Let a = 16 + -14. Suppose -3*f + u + y*u = -27, -4*f + 10 = a*u. Solve -3*r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 32, 36, 42, 50?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66008777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 13. Let y(q) = -29977241 - 2*q + 29977241. Calculate t(y(m)).\nAnswer: -6*m + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 714860378 a multiple of 6860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6541936000 rounded to the nearest one million?\nAnswer: 6542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 167 (b) -15 (c) 1\/7 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364.84 - -359. Let b = 0.16 - y. What is the second biggest value in -0.4, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(275) + (2 + sqrt(275))*-2) + (6*(sqrt(11)*2)**2 - sqrt(11) - (-2*sqrt(11) + -5)).\nAnswer: -4*sqrt(11) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-2\/69)*g**(-4\/3)*g**(1\/3)*g)\/(((g\/g**1)\/g)**(19\/2)\/(g\/g**(-2)*g*g\/((g**(-5)*g)\/g)*g)) assuming g is positive.\nAnswer: g**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 43984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 16) in base 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*z - 10*z + 30*z in the form a + m*z and give m.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1416105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6))\/(12\/24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*n - 114. Let u(c) = 2*c**3 - 3*c**2 + 2*c - 3. Let t be u(2). What is the greatest common divisor of n and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1166)\/(-110) - (-1 + 16\/10). What is the greatest common divisor of w and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from {f: 5, y: 1, e: 1, w: 1, i: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a. Let x be k(-2). Suppose -v + 5*g = x + 9, 5*g = 0. Let t be 15 + v - (-1)\/1. Solve 3*o - 8 = 5*y, 2*y + t = -5*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 79*m**2 - 6*m - 2*m**4 + 2*m + 4*m - m**3 - 2 to t*m**2 + a*m**3 + q*m + j*m**4 + x and give t.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1538*m + 422. Let q be p(-46). Suppose 5*h = -y + 355850, h - 3*y = -7*y + q. What is h rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 - (-3 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11826 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*p - p - 16, 2 = 2*p + 4*h. Let b be 340\/35 + (-2)\/(-7). Suppose -b = -p*d + 14. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 0.0638, -0.1, -12 in descending order.\nAnswer: 0.0638, 0, -0.1, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 91.10933 millilitres?\nAnswer: 0.09110933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*j**3 + h*j*u**3 - 34*h*u**3 - h*u - 2*j**3*u**3 + u wrt u.\nAnswer: 6*h*j*u - 204*h*u - 12*j**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/9, -0.1, 2\/3, -11809, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 49a941?\nAnswer: -49a939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1973, 3676, 5271, 6758, 8137, 9408, 10571?\n\"Answer: -54*c**2 + 1865*c + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1169ab - a?\nAnswer: 1169a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 4812545951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(325) - (1 + sqrt(325))**2) + -4)*-2*1.\nAnswer: 10*sqrt(13) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**2 + 6. Let a(n) = 5 + 657*n**2 + 653*n**2 - 1302*n**2. Give -6*a(q) + 5*r(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 262.558887 to one decimal place.\nAnswer: 262.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4\/4 - 301797*y**3\/4 + 1508907*y**2\/4 + 301797*y\/4 - 754455\/2 = 0.\nAnswer: -1, 1, 5, 100594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 361189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -63. Solve -a = -s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.9? (a) 2\/9 (b) 0.26 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 1, 4, 3 in descending order.\nAnswer: 4, 3, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p**2 + 18*p**3 - 4*p**3 - 6*p + 1 + 5*p**2 to q*p**2 + r + b*p**3 + w*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1\/21, 1, 5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -30. Let b = r - -43. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460352912 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 54 - 21*w**3 + 48 - 3*w**3 as g + a*w**3 + y*w + x*w**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 0*q)*(2 + 3 - 1) + 0*q + 2*q - q + (1 - 3 + 0)*(-q + 1 - 1).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmjx when four letters picked without replacement from {x: 2, m: 4, j: 10, i: 1}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/180)\/(9\/(-405)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*t - 16, 0*d = -2*d + 2*t. What is the closest to -2\/5 in 2, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*b = -125 - 305, -4*b - 328 = -4*k. Let q = k - 104. Is q > -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27 and -121\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1289*y**2 - 8*y. Let z(j) = -1299*j**2 - 10*j. Calculate -5*s(h) + 4*z(h).\nAnswer: 1249*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 7*l - 2*l + 5 + (142 - 22*l - 142)*(-5 + 2 + 1).\nAnswer: 46*l + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*n - 1, -n - 4*n = -2*u + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) - (133\/95 - -13)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-8)*32\/12. Let p = x + -9. Calculate the common denominator of 63\/2 and p\/(-40)*122\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.4 (b) -8\/439 (c) 4\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1338, 3020, 4740, 6498?\n\"Answer: 19*q**2 + 1625*q - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 39. Let l(s) = -s**3 - 8*s**2 - 7*s. Calculate l(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1200, 2384, 3572, 4764, 5960, 7160?\nAnswer: 8364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 12, 34, 66, 108, 160, 222?\n\"Answer: 5*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88548 or 88547?\nAnswer: 88547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -34*k**2. Let x(v) be the first derivative of -14*v**3\/3 - 88. Calculate i(x(f)).\nAnswer: -6664*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 + 20389*h - 20389*h.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*m - m**2 + 0*m**3 - 3*m**3 + 6*m**3 + 77*m to the form i*m**2 + s*m + t*m**3 + j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/2 + 48*p**4 + 768*p**3 + 2827*p**2 + 2415*p\/2 - 4851 = 0.\nAnswer: -77, -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 62 + (-130210)\/2088 - (-1)\/9 - (-27)\/76\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 473 = 23*f - 487. What is the lowest common multiple of 0\/(-3) - (-18)\/2 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**5\/45 + 19*f**4\/36 - 35*f**3\/9 + 49*f**2\/18 + 686*f\/9 - 3172. Factor x(l).\nAnswer: -(l - 7)**3*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjiujiuuujjujuu. Give prob of sequence uiju.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1900 or -1901?\nAnswer: -1900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - 9*y - 21. Is n(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3518506564 to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-8)\/4)*-2. Let s = 76537\/5698 + -3\/814. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 0 - 21*a**2 to the form l*a + u + i*a**2 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-270)*(-5)\/3*(-9)\/(-3). Which is greater: j or -1\/19604?\nAnswer: -1\/19604","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 20*b**3 - 62*b**2 - 67*b. Let j(k) = -9*k**3 + 30*k**2 + 33*k. Let n(q) = -13*j(q) - 6*p(q). Factor n(x).\nAnswer: -3*x*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296 + 298. Let l(m) = -m**2 + 2*m - 1. Let n be l(1). Which is the biggest value? (a) n (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/20*((-75)\/6)\/5. Suppose s*z = 2*v + 1661, 3*z + v + 2223 = 7*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**2. Let k(r) = -8994462*r. What is k(l(x))?\nAnswer: 44972310*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Suppose -5 = -t*a + a, d + 20920459 = -5*a. Let j = d + 12320484. What is j rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 - 25*m + 70 = 0. Calculate m.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m. Let h be w(1). Suppose h = 3*x + 4*r - 2*r - 25, 0 = 2*x - 2*r - 20. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, -3, 70\/3 in ascending order.\nAnswer: -3, -0.4, 1, 70\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8*(-24)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100001 (base 2) to base 14.\nAnswer: -21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/4)*w*w*w**(3\/4)*(w*w**0)**(-1\/19)*((w*w\/w**(-1)*w)\/(w\/(((w\/((w**10\/w)\/w))\/w)\/w)))**(-23) assuming w is positive.\nAnswer: w**(5375\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 42576 in decreasing order.\nAnswer: 42576, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 6. Suppose -27 = -3*w - 6. Determine y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 996, 1488, 1972, 2448, 2916, 3376?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318878 + 55*d + 77*d + 318878.\nAnswer: 132*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/7 + 66*r**3\/7 - 530*r**2\/7 - 66*r\/7 + 76 = 0.\nAnswer: -1, 1, 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 124, 121, 118, 115, 112, 109?\n\"Answer: -3*j + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 550 divided by -3\nAnswer: -550\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g + 14. What is w(11)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.490934 kilometers in micrometers?\nAnswer: 7490934000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -3.1072. What is o rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201202 + 12120211?\nAnswer: 21022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -39*f**2 - 4477*f + 4511. Determine u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629019 is divided by 314506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 971, -1, -175 in descending order.\nAnswer: 971, -1, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 710 - 2503 = -675 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -601*z**2 - 9*z - 15*z**3 + 276*z**2 + 322*z**2 - 6 in the form m*z**3 + o*z + r + u*z**2 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 1167 = 637. Suppose 0 = 21*h - 20*h - v. Solve -4*i - 4*x + h = 12, i - 12 = -2*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3747 and -10.\nAnswer: 37470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -15. Let f = -1 + m. Let d = -5.99965 + f. What is d rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let v(a) be the second derivative of -a**4\/24 - 3*a**2 - 3*a. Let i(o) be the first derivative of v(o). Determine b(i(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, a: 5, m: 1}. Give prob of sequence vaav.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*k + 42*k + 248 = -30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 180 + 36. Let j(m) be the second derivative of m**5\/20 - 3*m**4\/4 - 9*m**3\/2 + 5*m**2 - 16*m. What is the hundreds digit of j(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733784759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u - 82. Let i = 67 - 72. Let k be o(i). Solve 8 = k*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 5:08 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -406776 + 406237 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5853.\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114977449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 + 596*m**3 - 15310*m**2?\nAnswer: 24*m + 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -142. Suppose 778 = -4*q - a, 0 = q - 5*a + 238 - 33. Let v = q + k. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37902 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*f - 86*f + 2 + 19*f - 5*f in the form g*f + k and give g.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 140? (a) -0.01 (b) 3\/5 (c) -2 (d) 1.2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.67 - -2.43. Let g = o - -7.5. Let p = g + -26. Sort 4\/7, -1\/6, p in decreasing order.\nAnswer: 4\/7, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*p - 6*s - 16, -40 = 5*p - 5*s. Let d be (-7)\/1 + (-2 - p). Sort 4, 1\/2, d in descending order.\nAnswer: 4, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5605882\/1860)\/(-1)*37. Let s = -111515 - h. Let l = -4\/93 - s. Which is the second biggest value? (a) -0.4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -80. Let c be -3 + 2*(-25)\/x. Is 22 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*l + 10*l + 3*l + 3 + 3 - 2*l - 3 + (0 + 0 - l)*(3 - 4 + 0) - 5*l + 0*l + 4*l as o + w*l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyllyyylly. Give prob of picking 2 y.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3 - 18\/8). Suppose 4*j = 2*j + d. Let b(i) = 2*i**j + i**2 - 2*i**2. What is b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -0.2 (b) 3 (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**3 + 5*i**2 + 8*i - 57. Let t(v) = -12*v**3 + 8*v**2 + 6*v - 114. Let n(q) = -5*o(q) + 2*t(q). What is n(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 73325690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 183 from 9680.\nAnswer: 9497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a**3 + 0 + 3\/4*a**4 + 15*a**2 + 0*a. Let r(n) = 2*n. Calculate r(w(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*i**3 - 326*i**3 - 1759*i**3 - 753*i**3.\nAnswer: -2923*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - ((-522)\/45 - -10)) + (1 - 127\/195)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.5 + 375386.\nAnswer: 375344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194714116000*r**2 + 10605040*r - 722\/5 = 0. Calculate r.\nAnswer: 19\/697700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -467623 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067630*f**3 - 644050*f**3 - 2656488*f**3.\nAnswer: -4368168*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 4*l**3 - 4*l + 3*l + 9*l**3 + 2 as z*l**3 + a*l + k + p*l**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1) + -59 + 31 + -9.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 3*k + 3*k)*(0*k - k + 2*k)*(-36*k + 15*k - 31*k) + 4*k**5 + 2*k**5 - 3*k**5 + 5*k**5 - k + k.\nAnswer: 112*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 4 - (-12)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-143*r + 143*r - 16*r**4) + (5*r**3 - 5*r**3 - 6 - 2*r**3)*(r + 4*r - 4*r).\nAnswer: -18*r**4 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -5, 0, 96 in decreasing order.\nAnswer: 96, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*w**3 + 2*n**2*w - 582*n*w**3 + 1085*n*w**2 - 12*n wrt w.\nAnswer: 6*n**2 - 3492*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 2345*j + 6686. Determine v(-589).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 19. Let w be o(-17). Is w at least 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:57 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 2, w: 5, k: 3}. Give prob of picking 1 v, 1 k, and 2 x.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -206963?\nAnswer: -206976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x + 1. Let k be t(-16). What is the greatest common factor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 12*i**2 - 561*i**3 + 7*i**2.\nAnswer: -561*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/3 - 3*u - 1. Let d = -39 + 41. Let g(a) = -a**2 - 2. Determine d*l(i) - 3*g(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2 + 8*y + 0*y**2 - 3*y - 4*y**2. Let k be g(-5). Let q be -14*(-6)\/8*k. Calculate the greatest common factor of q and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 2*y - 12, -o - 2*y = 9. Suppose -4*w - o = -m + 6, 5*m = -5*w + 10. Let n(q) be the second derivative of q**3\/3 - q**2\/2 - q. Give n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t + 8550 = 62*t. Which is bigger: 1428\/5 or t?\nAnswer: 1428\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*b - 8 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1239 + 2224. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2432 and 2.\nAnswer: 0.4864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 857120 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0 + 0)*(-2*n - 2*n + 6*n) - 1 + 1 + n**2 + 3*n**2 + 17 - 17 + 0*n + 0*n + 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*(-4)\/3 - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.47735.\nAnswer: 0.047735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (sqrt(2) + -1 + sqrt(2) - sqrt(2)) + (sqrt(200) + 1 - sqrt(200)) - (-2 + sqrt(14)\/(2*sqrt(7)*-2 + sqrt(7)))).\nAnswer: -6 + 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - sqrt(162)*-2) + 0)**2 + sqrt(162)*-1 + 4 + -4*(0 + sqrt(162))*4.\nAnswer: -153*sqrt(2) + 1462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5, 5*m - 4*h - 10 = -3*h. Suppose m*o = -0*o + 6. What is the units digit of (0 + o)\/2 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8*16\/(-12). Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 17 in decreasing order.\nAnswer: 17, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + 198. What is the highest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 2*x - 4*x. Let p(b) be the first derivative of 2*b**3\/3 + 77. Determine i(p(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(26\/10). Let r = 2562 + -2556. What is the third biggest value in -2\/15, -3, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000618 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*((0*x - x - x)*(5 - 2 - 1) - 7*x + 12 - 12).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19007876 + 0*g**2 + g**2 + 19007876. Let u(v) be the second derivative of v**4\/12 + 5*v**2\/2 + v. What is q(u(o))?\nAnswer: o**4 + 10*o**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(9\/(-486)). Suppose 5*i = -10*i - a*i. Sort 0.4, -0.03, -2\/23, i.\nAnswer: -2\/23, -0.03, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*k - 39 + 39. Solve k = 2*o - c + 9, -5*o + 4*c - 6*c = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**19*f**(-3\/16) assuming f is positive.\nAnswer: f**(301\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*d - 29 - 6, 3*d = -4*h - 3. Suppose 15*y - 13*y + 5*x = 3553, -h*x = -2*y + 3513. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -327\/7. Let s = 45.15 - 45.65. Sort 3, s, 1, y.\nAnswer: s, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 136366*j. Let d(c) = -2*c**2. Calculate d(f(k)).\nAnswer: -37191371912*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1834\/1797 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/7251 - 41105\/58008. Let r = h - -2\/3. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**15\/(o\/(o\/(o\/((o\/o**(10\/9))\/o))*o*o)))\/((o*o*(o\/o**(1\/2))\/o)\/o)**(5\/3))**(-1\/36) assuming o is positive.\nAnswer: o**(-253\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4841)\/94 - (-1798)\/116.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:11 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1303798 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*24\/(-4). Let m be -3*-2*3\/g. Is 42 + 6\/m + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -8, -2*i + g = -3*g + 4. Let b(d) = 4*d - 10*d + 5*d - 2 + 0*d. What is b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10448 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osss when four letters picked without replacement from ssoosoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35897, 71796, 107695, 143594?\nAnswer: 179493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439\/11687 + -2\/377. Let z = b + -1150\/93. Find the common denominator of z and -50\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -18ab859?\nAnswer: -18ab862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 318*x**4 - 314*x**4 - 7*x**3 + 3*x**2 + 0*x**3 + 1 + 3*x**4 - 1 + (-2 + 2 - x**3)*(x - 2*x + 2*x).\nAnswer: 6*x**4 - 7*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 3. Let t be k(0). Put 8, -5, t in increasing order.\nAnswer: -5, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 - 6\/21. Let m = -33 + 33. Which is the closest to 1? (a) 1\/5 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 127358708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/12 - n**3 + 3*n**2\/2 + 29*n. Let u be y(0). Is 8 a factor of -2*u\/(-24) + (-315)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 + 450 + -141 + 18?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**5*a*a**(-1))\/(a**(2\/7)\/(a*a**(-6)*a)) assuming a is positive.\nAnswer: a**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10530.2 + 3976.\nAnswer: 14506.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 45.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 2*t + 3*t)*(-2*t + 4 - 4) - 2*t + 2*t - t**2 + 2 - 2 - 2*t**2 + 404*t - 131*t**2 - 404*t as q + n*t**2 + a*t and give n.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19.8 - 0.157692\nAnswer: 19.642308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 32*l - 65. Let b be c(27). Let u = 213 + b. List the prime factors of u.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = 3*l - 36. Solve -l = 2*w + b - 1, w - 3*b + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -119, -183?\n\"Answer: -64*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 2*q**2 + 3*q - 1. Is 2 a factor of c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -25. Calculate the greatest common factor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 119*v + 68*v - 3 - 36*v - 1 to the form l + i*v and give i.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-435)\/(-150) + -3)*(-10)\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 1, f: 1, n: 5, y: 1, x: 3}. What is prob of sequence fopx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (77\/22 + -4)\/(1\/(-4)). What is the third biggest value in y, 4, -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7))**(1\/14) assuming o is positive.\nAnswer: o**(2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 - 1126*k**3 + 3364*k**2 - 2240*k = 0.\nAnswer: 0, 1, 2, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44159 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -20684327.465208?\nAnswer: -20684318.465208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185*c - 26*c**2 + 246*c - 62*c)*(-3*c + 3*c + 2*c).\nAnswer: -52*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqquvlruurxxlq. What is prob of picking 2 r and 1 q?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 11*d + 27. Let q be a(-8). Suppose -q + 42 = 13*j. Solve 5*h + 2*s = 4*s - 30, 0 = 2*h + s + j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -12. Calculate the lowest common multiple of v and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1159*d**2 - 8313*d + 8313*d - 1159*d**2 + 31*d**3.\nAnswer: 31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206*d + 105*d + 8*d**2 + 106*d + (-d + 4 - 4)*(-2*d + d + 3*d) + 3*d**2 - 4*d**2 + 0*d**2 + 5*d**2 - d**2 - 2*d**2.\nAnswer: 7*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*l + l + i, 4*l - i = 64. Which is greater: 16 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*y + 0*y = -8, 6 = 4*o + 3*y. Let c be ((-14)\/(-8) + o)\/(2\/8). Let q(w) = w**3 - 5*w**2 - 5*w - 5. What are the prime factors of q(c)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*g + 4*x - 13, -g + 4*x = -0*x - 281 + 313 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -100.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -601 - 563 - 9869*k - 560 + 1724 as a*k + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - -2 - -4 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/60*((-4)\/1)\/((-6)\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -31\/2, 1\/8, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 302\/(-40) - -1. Let t = f - -33\/10. Factor 1\/4*s**2 + 1\/2*s - t.\nAnswer: (s - 1)*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.118 - 0.203. Round a to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 9*z**2 + 8*z + 8. Let w be p(9). Let b be 144\/w*40\/6. Let v = b + 28. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1398123 and 50.\nAnswer: -69906150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428 - 429 + 1287 - b - 430.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 26 = -4*i, -i - 16 - 1 = 4*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 6.57.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 261009910.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-7 - -22 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4942852 millennia to decades.\nAnswer: 49.42852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 82. Solve -o*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2 or -12066?\nAnswer: -12066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4*p*w**3 - 76*h**4*w - 17*h**3*p + 24*h**2*p*w + 2*h*p*w**3 + 29*p*w**3 wrt h.\nAnswer: 24*h*p*w**3 - 1824*h*w - 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*g + 4. Find the common denominator of (47 + g)*(-2)\/(-12) and -29\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(57)\/sqrt(3) - sqrt(19)) + -4 - (4 + (sqrt(19) - 1*sqrt(19))**2))*-2 + ((sqrt(684) + 1 - sqrt(19)) + 2 + 2 + sqrt(19))**2.\nAnswer: 58*sqrt(19) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*d = -2, -3*f + 2*f - 3*d - 13 = 0. Let b = -1.5 + 0.5. What is the smallest value in -0.2, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 times -259\nAnswer: 14.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = 12*v - 203. Suppose -2*q = -w - 5 - v, 3*q - 2 = 5*w. Solve q*z = -0*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)\/(-8 + 6). Let r be o*((-4)\/(-16) - 0). Suppose 0 = 4*f - 0. What is the closest to r in -1, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12045165239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9596969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74667186 and 110088.\nAnswer: 298668744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 34*a**2 + 2*a - 3. What are the prime factors of l(2)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3320031 is divided by 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1686 from -0.3808718.\nAnswer: -1686.3808718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04502 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1634.8717 + -825.02835. Let f = x - -2460. Let w = f + -0.1. What is w rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*g - 899*g - 898*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8955 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -290 - -460?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - m**3 + 3*m**4 - 15*m + 3*m**3 + 18 + m**2 + 16*m to the form u*m + a*m**3 + h + b*m**2 + f*m**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Suppose -4*v + d*c = -1620, 4*v + 314 = c + 1946. Suppose 7*b - v = 116. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by -76.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2\/2 + 3*k + 1. Let y be w(4). Let j = -25.6 + 21.6. What is the nearest to 0 in j, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + 79. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 0.2 (c) 2\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.11 - -0.59. Round l to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/33 + 2\/33. Let g = 4669.94 - 4670. Which is the biggest value? (a) p (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69.9? (a) -1.23 (b) -4\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z**2 - z + 4. Let g be q(-2). What is the third derivative of -2*l**3 - g*l**2 + 4*l**6 - 5*l - 6*l**2 - l**2 + 6*l**2 wrt l?\nAnswer: 480*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2004 and 2132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4005 (b) -2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:29 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -443, 0, 0.0757, -0.1 in ascending order.\nAnswer: -443, -0.3, -0.1, 0, 0.0757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*z + 38 = u + 378*z, 0 = 2*z - 14. What is the highest common factor of u and 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 135 = -5*q, 0 = 17*q - 13*n + 18*n + 315 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeos when four letters picked without replacement from {w: 2, h: 2, j: 3, o: 3, e: 1, s: 7}?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/40344 and 59\/38868.\nAnswer: 3187176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 27. Suppose 0 = 2*q - 5*s, 0 = -38*s + 35*s. What is r(q)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12723030 and 227400.\nAnswer: 254460600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2)*z*z*z*z)**(23\/4)*(z*z**0\/z)**(10\/11) assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-214)\/4 - 2\/4. Is i at most 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - (4 + (-5 - 0))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29605 (base 10) to base 6.\nAnswer: 345021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 - -6 - (382 + -356)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -41 - (-2 + 2 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 43 = f - 9*g, -81 = 2*f - 3*g. Let i = 35 + f. Let z be (-3)\/((-2)\/(i\/3)) + 4. Solve 5*n - 16 = 2*s - 5*s, z = -3*n + 4*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - -10100110001110100?\nAnswer: 10100110010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 71090 = 2*p, -4*p = -2*t + 5376 + 30196. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 4*o - 3. Let u(v) = 8*v**2 + 11*v - 6. Let k be u(-6). Let r be k\/60 + 6\/(-10). Determine x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**2 + 4*p + 33. Determine q(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 11. Let z = 139 + -77. Let l be (z - 59) + (1 - -2) + -1. Suppose 6*t - 4*m + 16 = 2*t, -3*m = l*t + 52. Calculate p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**3 - 176*n**2 + 176*n**2)*(-1 + 0 - 2)*(-5*n**2 + 2*n**2 + n**2).\nAnswer: 60*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 11*v**2 + 10*v + 3. Let g be ((-15)\/2)\/((-9)\/(-12)). Let q be z(g). Suppose -4*n + 5*w + 73 = 0, 4*n - q*w - 63 = -0*w. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 669, 668, 667, 666?\n\"Answer: -w + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in -2, 1\/7, 107, -1, 3\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 3*a**2 - 78 + 7 - 5 - 14*a + 4*a**2. Let t be p(-4). Solve -4*h + 20 = -2*l, 0 = -t*l - h - 3 - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 + 0.3. What is the smallest value in -2, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from sigdigrigigg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*f**3 + 2*f**4 - 119*f**3 + 22*f**3 - f**2 + 4*f**2 to the form i*f + v*f**4 + s*f**3 + m*f**2 + w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-28))\/15*42\/21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5))\/w**3)\/(w*w*w**(-1))**(2\/37)*(w**(-2\/5)\/w*w**(-2\/9))**(-8\/3) assuming w is positive.\nAnswer: w**(-13627\/4995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose -51 = -3*j + a*c, j - 25 = -c - 8. Let i(s) = -s**2 + 5*s + 8. Let y be i(6). Solve -v - v + 14 = 4*x, -j = -y*x - 3*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + (8 - -190*8\/(-40)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 11*t**2 - 11*t - 6. Let u = -128 - -118. What is g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g + 3. Suppose -q + 2*o - 6 = 0, -q = 3*o - 10 + 1. Let k be q\/((3\/3)\/1). Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 8. Is u(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 2*b**3 + 17 - 4*b**3 - 3*b**2 - 14. Suppose -2*z + 3*y = -7*z, 26 = -2*z + 4*y. Let i(d) = -3*d**3 - 6*d**2 + 5*d + 5. Give z*i(w) + 5*j(w).\nAnswer: -w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65076*c - 85792*c + 40964*c to h*c + v and give h.\nAnswer: 20248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-20) + 0)*-16. Solve -4*w = b, -d - 5*w = -5*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517415094 a multiple of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(117) - sqrt(117) - sqrt(117)*-1*2)\/(-6*(sqrt(1089) - ((sqrt(1089) - sqrt(1089)*1) + sqrt(1089)) - sqrt(1089))).\nAnswer: sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60226 (base 7) to base 16\nAnswer: -38bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -25. Let c = -1 + h. Suppose -5*v + c = -0*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:43 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(5*p**2 - 3*p**2 - p**2)*(1 - 1 + p) + ((-3 + 4 + 1)*(-15 + 5 + 6) - 5 + 2 + 2)*(2*p**3 + 0*p + 0*p)*(-4 + 2 - 1).\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -a654?\nAnswer: -a65c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuuuuullllu. Give prob of picking 2 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = x - 634 - 1288, -3*q = x - 2883. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 - 2*g - 18. Let j(o) = o**2 + 3*o + 1. Determine -6*j(z) - m(z).\nAnswer: -z**2 - 16*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1781 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 903078.6 decades in centuries?\nAnswer: 90307.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -17, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let d(c) = c + 1. Let z(u) = 2*u - 1. Let y be z(-1). Let o be y + 1*(2 - 1). Let t(r) = o*d(r) + s(r). What is the derivative of t(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 4, 24, 0, 5 in descending order.\nAnswer: 53, 24, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 2*w**3 - 5*w**3)*(-106*w**2 + 248*w**2 - 20*w**2).\nAnswer: -122*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 7?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 118639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12*k = 9*k + 36, -100 = -4*i + k. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11011 + 224040?\nAnswer: 213024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {t: 1, l: 7, w: 5}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + a + 3 - 13*a + 0.\nAnswer: -12*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jijp when four letters picked without replacement from llpjjljijiji.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**2*l**2 + 10*c*l - 12*l**2 wrt c.\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0. Let b = 135 + -134.7. Sort b, 0.4, i in ascending order.\nAnswer: i, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -5\/4, 0.18?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7261 != -7259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*t + 1863 = 0, 0*x - x = 2*t - 929. Suppose 2*v = 5*b - x, -v + 6*v = -4*b + 738. List the prime factors of 2\/11 + 21845\/b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 6) to base 5.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-3))\/b*b)\/b**(-3\/4))\/(b**(-1\/4)\/b*b**(-7)))**(11\/3) assuming b is positive.\nAnswer: b**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 1 - 19. Suppose q = -y + j*q + 376, -4*q + 728 = 2*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -19. Let t = 33 - i. Let f = t + -21.5. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37029216 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153802093 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 15 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 122544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21860 + 10928 + 10928 - 460*p + (2*p + 0 + 0)*(-3 + 2 + 3).\nAnswer: -456*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.814329 and -4.\nAnswer: -3.257316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*a**2 + 62*a**3 + 54*a**3 - 84*a**3 wrt a.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3850 and 71\/1209040.\nAnswer: 66497200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 + 60*d**4 - 84*d**3 - 438*d**2 + 81*d + 378 = 0. Calculate d.\nAnswer: -21, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51928 to two dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1476 = t + 4833, 4*o - 4483 = -t. Are 1123 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554616017 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962*r - 22133 + 5146 = 3355*r + 4281 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 12*r + 3. Let a(j) = -10*j**2 + 64*j - 16. Let p(u) = -3*a(u) - 16*k(u). Let g = 3 - 1. Let d(s) = -g + 16*s**2 + 0 + 2. Calculate p(d(w)).\nAnswer: -512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*6 + sqrt(102))\/(sqrt(6) + sqrt(648)\/sqrt(3) + sqrt(6)).\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 13010166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 0*(-3)\/6. Calculate the remainder when (33\/(-3))\/(k - -1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.5301 + 0.3345.\nAnswer: 14.8646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-97185)\/14136)\/(10\/(-16))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -143. Suppose -5*x + 480 = 5*o, 0 = -4*x + 3*o - 5*o + 376. Let i = l - x. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1803758546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/126 and 33\/266.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -65. Let l(k) = -3*k - 1. Let p be l(-1). Let n be (2 + 6\/3)\/1. Solve 4*r + 28 = 4*y, -3*r - f = p*r - n*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 2, x: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.422362 litres?\nAnswer: 9422.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150.2 and -12016.9.\nAnswer: 1804938.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) - 3*sqrt(4840))\/(sqrt(72)*2 + sqrt(72) + sqrt(72)).\nAnswer: -11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45\/13 + 354\/91. Let y = 233\/3 - 77. Let h = 0.44 - 0.04. What is the closest to y in 0, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 6. Let j be t(-9). Let u be j - 4 - (-8 + 4). Suppose d = -7*o + 4*o + 1289997, 0 = u*o - d - 1290003. Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r - 1. Let n(c) = c**3 - 3*c**2 + c + 1. Suppose 2*l - k - 2*k - 19 = 0, -l - 3*k = 13. Let g be n(l). What is the units digit of d(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p, -5*u + 4*u - p - 9*p + 162 - 50 = 3*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w**2 - 27*w**2 + 2 - 18*w**2 to a*w + y*w**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(272) + -1 - (1 + ((sqrt(17) + 0)**2 - sqrt(17)))).\nAnswer: -57 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 18*i**2 - 51*i**2 + 7 - 3*i + 26*i**2 - i**3. What is the units digit of x(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7937?\nAnswer: 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 12. Let i be h(-12). Suppose 6*w = -p + w, 5*p + 4*w = i. Let y = -0.08 - 0.22. What is the nearest to p in y, 4, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260480\/(-13104) + (-24)\/(-126).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/2*14\/8. Let r be 0 - (b - 2\/2). Suppose -2*y + r = -18. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 2\/17, -38, -0.1, -0.574, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-102)\/(-14) - (-36)\/(-126).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1071891 < -1071890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16182, 16178, 16174?\nAnswer: 16170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3557?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0316849cm in kilometers?\nAnswer: 0.000000316849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -378 or -262882?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 11*s**2 - 13*s + 4. Let u be t(-12). What is the highest common divisor of u and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*l = -13, 0 = 10*k - 62*l + 59*l - 47 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -7. Let j = -72 + 124. Let m = j - 48. What is the biggest value in m, o, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-16 - -5))*(2 + -9). Calculate the highest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -72. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-9 + 0 + 1). Suppose 2*a - u = -a. Let p = -3 + a. Solve p*j + 6 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -8. Let t be v\/(-21)*(-15)\/(-2). Let n(d) be the first derivative of -d**2\/2 - d - 1. Give n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/28 - 660\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82.74 - -84. Let n = -1.362 + g. Round n to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 - 2 = 0. Let q = 17 - 15. Determine w, given that -w**2 - q*w**2 + 2*w**p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 345832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 y when three letters picked without replacement from {g: 3, y: 6, r: 2, p: 2, k: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*t + 14*o**3*w**2 - 4*o**3*w - o**2*t*w**2 + 6*o**2*w**2 - o*t*w**2 + 2*t*w**2 wrt o?\nAnswer: -6*t + 84*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*y - 655 - 479 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 638.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 72 = -4*p. Does 4 divide (p\/12)\/(3\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + 10982\/(-152) - ((1 - -2) + 8).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5731180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 - 3.36. Let p = b - -0.11. What is p rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97586808895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:25 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g - 53. Let j(x) = -x + 2. Give b(u) + 6*j(u).\nAnswer: -11*u - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*u**3 + u**4 - 3*u**2 + 50*u**3 + 5*u**2 + 2 + 2*u to the form k*u**2 + d*u + c*u**4 + z + l*u**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 0*o)*(0*o**3 + 3*o**3 - 2*o**3) + 7*o**4 - 3*o**4 + 13*o**4 + (4*o**3 - 4*o**3 + 2*o**3)*(5*o - 4*o - 2*o) + 254*o**4 - 183*o**4 + 247*o**4.\nAnswer: 331*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 + -0.6. Let z = -1.8 + b. Let n = 1.4 + 0.6. Put -5, n, z in ascending order.\nAnswer: -5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8188484 + -90140305\/11. Let g = v - -6094. Find the common denominator of (-147)\/14*(-33)\/28 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*8\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*f - 14230 = -6*f, -5*w + f = -14230. Suppose 5*x - w = 559. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 830 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -124, -127, -130, -133, -136?\n\"Answer: -3*w - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192697275 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = v + 7, 4*y + 3*v = 28. Solve y*z + 8 = 2*u, -8 - 8 = 4*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-27))\/((-2)\/12). Sort 57, y, 5.\nAnswer: y, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(931) + sqrt(931) + 3.\nAnswer: 4 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - n - 39 - 50 = 0, 0 = 3921*d - 3919*d + n + 2*n + 33 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 1 - 5. Suppose -a + 2 = -r*a. Are -2 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*n - 57*n - 35*n)*(-2 + 0 - 1)*(2 - 1 - 4).\nAnswer: -621*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -103, -218, -347, -490, -647, -818?\n\"Answer: -7*p**2 - 94*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/1194 + 13777\/38208. What is the common denominator of -49\/456 and w?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532339816.\nAnswer: 2, 7, 19, 29, 53, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.2 + 8. Suppose -3*n + 4*z = -2*n + 10, 3*z - 6 = 0. Let y be (3\/(-24))\/((-1)\/n). What is the second smallest value in m, -0.1, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 31*l = -35*l - 226, 0 = -3*k + l + 40 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peeeeeeshhshshssesss. Give prob of picking 1 p and 2 h.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 7*v - 7. Let s be k(4). Solve -z = -2*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4209.2 and -0.2252?\nAnswer: -947.91184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29377+-279875\nAnswer: -250498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - -4 - 12) + 8 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwlwqqy. What is prob of sequence ywql?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 258 + 147. Suppose j - 59 = m. What is the second derivative of m*x**5 - 21*x + 42*x + 18*x**5 wrt x?\nAnswer: 800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1039632, 1039622, 1039614, 1039614, 1039628, 1039662?\n\"Answer: p**3 - 5*p**2 - 2*p + 1039638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (74 - 121 - -46)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23548.9518s?\nAnswer: 0.2725573125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18258 + -13011. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 4*a. Let o(d) = -d**2 + d - 6. Let p be o(0). Let t(u) = u**2 + u. Calculate p*c(z) + 26*t(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 3*b**4 - 2*b**4)*(-3 + 4 + 0) - b - 7*b**4 + b.\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**6\/180 + q**5\/120 - q**4\/12 + q. Let i(p) be the third derivative of c(p). Suppose -2*d = -3 - 1. What is i(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**2 - z. Suppose -3*l - 9 = -3*d, -13 = -8*l + 3*l - 2*d. Calculate g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 2*m**2 - m. Let y(n) = 9*n**3 - 10*n**2 - 23*n - 24. Let s(l) = 5*t(l) + y(l). Suppose s(f) = 0. Calculate f.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 + 3*a - 4. Let v be j(-3). Suppose -n = -2*n + 195. Let t = -190 + n. Solve v*k + 30 = t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 5d?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 + 2. Let t be (0 - -5)\/(-10 + 9). Let z be d(t). Suppose 3*h - 5*q = 273, q + 94 = z*h - 88. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.599 - 0.099. Let k be (-5)\/18 - 6\/27. Which is the third biggest value? (a) 5 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0824 - -662778?\nAnswer: 662777.9176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 15. Let v = 9 + -6. Suppose 3*q = -4*w + 17, v*w = -j*q + 2*q + 4. Calculate the highest common factor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)*(-6 + 5). Let k(b) = b - 2. Let g be k(p). Let x be g\/(-4)*(-1)\/(-2). Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 326*n**4 - 60*n**3 - 41837 wrt n.\nAnswer: 1304*n**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -129*m**2 - 1037*m - 8. What is l(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-30) - (-1)\/(-3). Let a = -216 - -99. Let q = a - -116.6. What is the biggest value in 3, z, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1)**2 + 2 + -1 + sqrt(63) + (((sqrt(84)*1)\/sqrt(12) + sqrt(7) - sqrt(7)) + sqrt(7))**2.\nAnswer: -5*sqrt(7) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k**2 + 1 - 15*k - 4 - k**2. Is v(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 2\/13, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuh when three letters picked without replacement from uhuccfcc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 5\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567\/4 - 39\/(-156) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028 = -28*s - 21*s + g, 77 = 4*s - 7*g + 9*g - 9 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + q**4 - 5*q**4 + (-69*q - 7 - q**3 + 65*q + 5)*(-2 + 2 + q) as o*q + i + d*q**3 + t*q**2 + n*q**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 16670*i**3 - 69588817*i**2 + 971794320*i - 3398423616.\nAnswer: -(i - 8328)**2*(i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w - 14801 + 14801 + (6 - 1 - 3)*(w - 6*w + 3*w))*(-w - 4*w + 0*w) in the form b*w**2 + f + a*w and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3413335 + 4?\nAnswer: -3413331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 9935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v**4 + 4*v**3 + v**2 + 4*v - 4. Let a(w) = 17*w**4 + 5*w**3 + 5*w - 5. Let d(i) = 4*a(i) - 5*c(i). What is the third derivative of d(q) wrt q?\nAnswer: -528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 808 - 6463\/8. Let k be 11 + -7 - 60\/14. What is the nearest to -2 in 2\/13, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/17, 4, -4\/9, -2.202 in decreasing order.\nAnswer: 4, 1, -2\/17, -4\/9, -2.202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4 - (-7)\/14. Let f(o) be the second derivative of -7*o**5\/10 + o**4\/6 + o**3\/3 + o**2\/2 - o. What is the remainder when 43 is divided by f(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/120*l**6 + 0*l - 1\/6*l**3 + 0 - l**2 + 5\/24*l**4 + 7\/60*l**5. Calculate the remainder when v(-4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(1539))*-2 + -5*sqrt(1539)*2 - ((-1 + sqrt(1539))**2*-5 + 4))*2.\nAnswer: -15388 + 396*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(12)\/sqrt(4) - sqrt(3))) - (sqrt(33)\/(sqrt(44)\/sqrt(4) + sqrt(11)) - (sqrt(3) - (sqrt(6)*-2)\/sqrt(2))))**2.\nAnswer: 60*sqrt(3) + 651\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 1380\/(-30) - 9\/((-1863)\/3114).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -162*z**2 + 8*z - 5*z**3 + z**3 + 157*z**2 - 3. Let v be w(2). Let p = v - -42. Let l(o) = -o**3 + 5*o**2 - 4*o + 3. Give l(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-8)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*v + 3*o, 0 = -3*v - 3*o + o + 85. What is the remainder when 1599\/v - (-2)\/(-9) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121.17 + -135.17. Which is the third smallest value? (a) m (b) 20 (c) -4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 13278*q - 145902. What is g(-11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 - 0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 61*t**3 + 326*t**2 + 264*t.\nAnswer: -t*(t - 66)*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4458469 + -2?\nAnswer: 4458467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524*3.6.\nAnswer: 1886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**2 - x. Let v(f) = 0 + 9*f + 0 - 4*f. What is y(v(k))?\nAnswer: -250*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 331 divided by 6\nAnswer: 331\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -746 + 750. Let o(s) be the third derivative of s**5\/60 - 5*s**4\/24 + s**3\/3 - s**2. Determine o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 2. Let h be o(-6). Suppose z - 19 - 19 = h*l, 5*l = -z - 43. Let f be 3\/l + 20\/6. Solve -18 = 3*q - f*r - 2*r, -5*q - 2*r = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(156\/(-12)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = r + 1, -3*r + 30 - 34 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/1026)\/((-10)\/38).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**4 + 8*n**4 + 7*n**4 + 12*n**4 - 2*n**2 + n**3 - n - 38*n**4 - 24 to the form a*n**4 + d*n + s*n**2 + t + f*n**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/39 and 49\/9568?\nAnswer: 28704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209192 is divided by 514?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-494)\/(-2223))\/(((-483)\/(-35))\/(45\/(-50)))\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10556.3613 to zero decimal places.\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 9 + 18 = 2*t, 0 = 3*r - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1976 and 304?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b + 12*b**5 + 123*b**5 + 8*b**5 - 31*b + 264*b wrt b?\nAnswer: 2860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)\/r*(r\/r**18)\/r*r**(-12)\/((r\/r**(-5\/3))\/r*r) assuming r is positive.\nAnswer: r**(-502\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(52 - 38) - -526 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 22 = 16*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 4*o + 4. Let w be j(4). Let m(u) = 4*u - 1. Let c be m(1). Let y = w - c. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b - 2. Let q be m(-5). Suppose -3*y = t - q*t + 15, 2*y + 2*t + 10 = 0. Let a(z) = z. Calculate a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 1, p: 1, w: 7}. Give prob of picking 1 p, 1 b, and 1 w.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38889 is divided by 19403?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 81597.7 (b) -3 (c) 3 (d) 2\/15 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) 1 (b) 2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*h + 16*h - 20*h + (1 - 5 + 2)*(-2 + 2*h + 2) + (-h + 4 - 4)*(0 + 3 + 0).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 5*t - 56 = -f, -53 = t - 4*f - 57 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10336.42814 to the nearest 100.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x**2 + 6*x - 10. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 5) + (1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 60*f + 6. Let h be w(-30). Let g(b) = -2*b**2 + 31*b - 111. Let t be g(h). Solve 3*n - 12 = t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*d + 248*d - 117*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2406809 or 2406808?\nAnswer: 2406809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 1\/(1\/3). Let a be (2\/(-4))\/((-2)\/12). Sort 5, v, a in decreasing order.\nAnswer: 5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -26*k**2 + 3*k + 14. Let b be w(-6). Round b to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8339? (a) -4 (b) 312 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i - 61*i - 6390 = 0. Let q = -608 + i. What are the prime factors of q?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 4 = 0. Suppose y*m - 1 - 3 = 0. Suppose h + 4*o = 4*h + 4, 0 = h + 3*o - 16. Sort m, 8, h.\nAnswer: m, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -63. What are the prime factors of ((-4)\/i)\/((-16)\/25896)?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 3*j - 3. Suppose t = 2 - 0. Suppose -1 = -w + 1. Let q(o) = o**w + 0*o**2 + 4 - 4*o + 2*o**2 - 4*o**t. Calculate 4*g(d) + 3*q(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -268068 divided by 6?\nAnswer: -44678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (190\/190)\/(1*(-141)\/6).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -158, -3, 3, 2 in descending order.\nAnswer: 3, 2, -3, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48175879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -392, 647.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 2 + j - 7*j. Let h(d) = 6*d. Let k(n) = -63*n - 9. Let t(y) = 5*h(y) + k(y). Determine -2*t(m) + 9*v(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199\/4 - 789\/20. What is the common denominator of q and 73\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -35 + 40. Solve -2*p - 12 = 3*k + i, -4*k - 19 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 358?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 528. Suppose -4*g = -371 + d. Let y(v) = 3*v**2 + v. What is y(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35607220 a multiple of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(315)*4)\/(sqrt(576)*1))\/(sqrt(60)\/sqrt(3) - -5*sqrt(45)).\nAnswer: sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1112, -1\/4, -0.1, -306?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 120 = -5*h - 84, 960 = 5*b - 5*h. Suppose -l = -4*q + 1060 - 339, -2*l - b = -q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(5\/(-600)). Let w = r + 172. Does 33 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from zmlcm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxvvsvpyxpyuxvxvvvxu. Give prob of sequence vs.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*o**3*q**2 + 104*o**3*q + 7*o*q**2 + 175*o*q wrt o?\nAnswer: -102*o*q**2 + 624*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 130*r**2 + 380*r + 200. Determine m(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1017*j**3 - 10 - 1011*j**3 + 2035*j**3 + (-4*j - 2*j + 4*j)*(1 - j**2 - 1) to the form y*j**2 + x + s*j**3 + h*j and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 40\/17 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 86*l - 593. What is t(-13)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 206507.\nAnswer: 14455.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 59.906. Let k = -0.669 - m. Round k to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133576\/137 - -975. Which is bigger: -26 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 2. Let i(s) = s**2 - 1. Let a(w) = -w + 2. Suppose 4*b + 2*l - 2 = 6*b, -2*b - 2*l + 14 = 0. Let v be a(b). Calculate v*h(p) - 2*i(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + r**2 - 2*r - 2. Let h be j(-2). Let o be ((-6)\/5)\/(3\/h). Suppose 0 = -3*k - o*u + 12, 0 = 3*k - 4*k + 4*u + 4. Solve -k*s + 13 = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0371, 0.06, 5, 0.5, -2\/3 in ascending order.\nAnswer: -2\/3, -0.0371, 0.06, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/522 and -51\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170127385.\nAnswer: 3, 5, 48225053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 493, 1807, 4397, 8689?\n\"Answer: 71*o**3 - o**2 - 30*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 2*m + u, 5*u = m - 19. Let g be 55\/(-147) + m\/(-3). Let v(z) = 395*z - 5135. Let c be v(13). Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*t - 11 - 12 - 2 - 18 + 36.\nAnswer: 7*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*m**4 - 12437*m**3 + 1295726*m**2.\nAnswer: 2064*m - 74622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 14208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/12 - 127*y**3\/3 + 255*y**2\/2 - 17*y - 8. Find v, given that n(v) = 0.\nAnswer: -255, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 91 - 1 = 0. Sort m, 1, -3 in decreasing order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 76.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4506314 or -21?\nAnswer: -4506314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/30 + 11*i**4\/24 + 20*i**2. Find the second derivative of z(m) wrt m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**3\/3 - 13. Let b(v) = v**2. Give w(b(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1215, -2400, -3557, -4680, -5763?\nAnswer: -6800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 456*l + 5780 + 6988 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:00 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**4 - 10*u - 2*u**3 + 7*u**3 - 5*u**3 wrt u.\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406.3 + -405. Let q be (-9)\/15*(3 - 128\/36). What is the nearest to q in 1, -1\/12, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w*w**1*(w\/(w\/(w*w\/w**0*w)))**(1\/16))**(-25\/2) assuming w is positive.\nAnswer: w**(-925\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 + 31*r**2 - 66*r + 127*r - 61*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*h**2 + 152*h**2 - 66*h**2 - 49*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/6 + 7\/3)\/(52\/158262)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e7 - -16a48?\nAnswer: 16951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10397 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253.8936 + 254. Let a = 0.11 - x. Round a to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1202 + 1202. Which is the smallest value? (a) j (b) -74 (c) -0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 12*x + x + 3*x + 2 - 5. Let f be z(-6). Let u be 414\/f + 2\/6. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.25 + -6.25. What is the closest to 0.3 in -2\/9, -2, y, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q - 21*q. Which is the third smallest value? (a) -2 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1 + 4))\/(-1 - 4). Sort n, 9, -4.\nAnswer: -4, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*h - 98. What is the remainder when h is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/12 + 884\/12. Suppose -j + 3*j - t = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 24 = -16. Calculate the remainder when ((-24)\/60)\/((-2)\/110) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 524694255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421147.6cm in micrometers?\nAnswer: 4211476000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*l + 919, -5*f - 1521 = 3*l + l. Let p = f + 487. List the prime factors of p.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73.9 + -74. Sort y, 3, 3\/4, -5 in ascending order.\nAnswer: -5, y, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 6*t)*(0 + 0 - 2*t) + 0*t**2 + 2*t**2 - 3*t**2 + 66*t**2 - 13*t**2 + 99*t**2 + (2*t + 0*t - t)*(4*t - 3*t - 3*t) - 2*t**2 - 2*t**2 + 2*t**2.\nAnswer: 151*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 103b799 - -a?\nAnswer: 103b7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.1 or 2.3742?\nAnswer: 2.3742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -53) + (-197846)\/3174.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*h - 25 - 50 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 745 + -1487\/2. Let t(n) be the first derivative of -4 + 1\/18*n**3 + b*n + 1\/2*n**2. Solve t(f) = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -742504?\nAnswer: 742509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 745415.\nAnswer: -1\/149083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w + 20. Suppose w*x - 2*i - 35 = 0, -2*x + 5*i = i - 14. Suppose -x = -3*n - 1. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46019505*j**3 + 28950156*j**2.\nAnswer: -276117030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2*-67)\/2)\/1. Let r = 460 - 363. Let q = r + v. Solve 5*h = 2*d + q, 3*d = h + 4 - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*t = -113*t + 371. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -797, -897, -995, -1091, -1185, -1277?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34737, -69452, -104167, -138882, -173597, -208312?\nAnswer: -243027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 517330553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64422*z + 11021*z - 37096*z.\nAnswer: -90497*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 17}. What is prob of picking 1 z and 3 l?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*1192667.\nAnswer: -36972677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 19, 10, -3 in decreasing order.\nAnswer: 19, 10, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s + 14 + 142 = 0. Put -1, 4, 3, s in ascending order.\nAnswer: s, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 11*s**2 + 12*s + 3. Let c be g(12). Let o(i) = 10*i + 4. Is o(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/9, -4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -499*n*w + 4148*n - 7*w + 3 wrt w?\nAnswer: -499*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:17 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24104 + 14414340?\nAnswer: 14443444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + -2 + (-6)\/(-9). Is 2\/3 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6441*s + 6443*s = 0. Let o = -1 + -4. Sort s, o, -12 in descending order.\nAnswer: s, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 9*d**2 + 9*d - 10. Let b(i) = i**2 - i - 7. Let u be b(0). Let y be q(u). Let f = y + 10. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + (8 + 3 - 7). Is (-2 - 3)\/(-1) - z*-4168 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)\/(c**(-3\/17)*c))\/(c\/((c\/(c*c**(-18)))\/c)*c\/c**13) assuming c is positive.\nAnswer: c**(8812\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from hkykykyyyyydkdky.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from {h: 5, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*0.372.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 18. Let p be w(25). Let q = -53 + p. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/1142 - -565\/2284. Which is smaller: -1\/67 or d?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Three letters picked without replacement from kudggkkk. What is prob of sequence gkg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 44.8. Let b = j - 43.79. Let u = -0.09 - b. Put u, -3, 25 in descending order.\nAnswer: 25, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4656, -4664, -4684, -4722, -4784, -4876?\nAnswer: -5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(3 - 2*u - 3)*(-2 - 6 + 5).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75 - -84687?\nAnswer: 84751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*f = 4*f - 2, 0 = -2*l + 3*f + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -19. Calculate the smallest common multiple of u and (-129)\/(-15) + 4\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18601 and 14.\nAnswer: 260414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1\/1869, -4, 79\/4 in decreasing order.\nAnswer: 79\/4, 4, 1\/1869, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 t when three letters picked without replacement from {z: 1, u: 2, d: 2, t: 3, v: 6, a: 5}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p + 4. Let d(x) = 2*x**2. Calculate i(d(c)).\nAnswer: -50*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 2*o - 2*o)*(-9278*o + 31 - 2025*o - 62 + 31) in the form m*o + h*o**2 + r and give h.\nAnswer: 22606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/120 + a**5\/12 + 2*a**3\/3 + 3*a**2. Let i be q(5). What is the common denominator of 4\/16 - 199\/i and 23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/133 and -69\/34.\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -41 + -1 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916345345.\nAnswer: 5, 1291, 141959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 229 = -148. Let z = -805\/2 + d. What is the common denominator of 57\/20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024326 rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10506 and 33681?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12 - 26*r**3 - r - 42*r**3 + 110*r**2 - 110*r**2 wrt r?\nAnswer: -408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -14\/15 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -19, 4, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 1. Suppose y - 4*s = -2*s - 5, -2*y + 17 = 5*s. Let p(q) = 40*q - 6. Let j(d) = y*p(d) - 3*o(d). Find the first derivative of j(l) wrt l.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1554341612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3822566 by 7997.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (0 - 0)) + 1. Let q be ((-5)\/10)\/(g\/(-8)). Is 12 a factor of 1\/4 - 47\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*r - 672*r - 1115*r)*(-4*r**2 + r + 2*r**2 - 3*r**2).\nAnswer: 8630*r**3 - 1726*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from {j: 4, r: 8, v: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 156\/(-16)*16\/(-12). Suppose -7 = 5*i + w. Let h = -1\/6 - -5\/6. Which is the biggest value? (a) h (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 10*h**6\/9 - 62*h**5\/15 + 13*h**4\/6 + 58*h**3\/9 - 23*h**2\/3 + 4*h\/3 + 60. Determine a, given that x(a) = 0.\nAnswer: -1, 1\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837 is divided by 353.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44109420.\nAnswer: 2, 3, 5, 735157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 + m**4\/12 - 5*m**3\/6 - 2*m**2 - 3*m. Let d be k(-3). Let h(a) = -3*a - 8. What is the tens digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 524*c - 519*c - 15, -4*f = 6*c + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 43*h + 1445. Let v be o(0). Let a be 70\/(-14)*1 - (-1 - v). Calculate the greatest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*s + 4*x + 100, 4*x - 9*x - 277 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4368.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 3 - 6*q - 17 + 17 as f*q**2 + p + n*q + o*q**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4 in ascending order.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/3952 and -37\/399228?\nAnswer: 20759856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44264 and 93852.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*r + 24, -v - 4*r + 16 = -5. Suppose -466*l = -469*l - 27. Calculate the smallest common multiple of (l\/(-4))\/((-24)\/(-576)) and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - 2c?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 1126415*n**2\/2 + 158601062424*n - 158601625632.\nAnswer: (n - 1)*(n + 563208)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190 + 310. Calculate the common denominator of 179\/x - (-4)\/30 and 43\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 2)*(-1)\/2. Let a(b) = 2*b**3 + 32*b**2 - 3*b - 36. Let v be a(-16). Suppose -v*u + 17 = -55. Solve -u*h + 3*h - 12 = x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-824)\/(-206)*(-1)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7128 + -7124. Suppose -2*p = -0*p - 28. Solve -o*a - p = 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312524801 to the power of 1\/2, to the nearest integer?\nAnswer: 17678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z + 20 = 0. Let j(r) = r + 6. Let i be j(z). Calculate the remainder when 15 - (-4)\/(i + -3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 37. Let l = 34 + -34. What is the nearest to t in l, 3\/8, 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108 - -91)*3\/(-17). Let h(j) be the first derivative of 0*j**2 + 20*j + 0*j**c + 28\/5*j**5 + 0*j**4 - 17. What is the first derivative of h(i) wrt i?\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -0*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104453 - -27.42?\nAnswer: -104425.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46559330821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*x = 2828, x + 2*x - 2825 = -4*n. Let g be -408 + (-3 - (4 - 10)). Let c = g + n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1357787 + -2?\nAnswer: 1357785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(9\/(-2))*(-756873)\/(-12938)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 66*z = -672. Let m(l) = -l**2 - 4*l - 2. Let v be m(-5). Let h = v + 51. Calculate the remainder when h is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 8 = -m, -5*m + 8*j + 130 = 81 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 205472890 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -26, -3 in increasing order.\nAnswer: -26, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -p + 3*l - 12, 5*p + l - 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjttttttjjt. What is prob of picking 3 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7663, 15326, 22989?\nAnswer: 30652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-569)\/8535*(-360)\/1164?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 9) to base 2.\nAnswer: -11111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**2 + 1. Suppose 16 = 4*x - 2*l, 3*l + 30 = 5*x + 8. Let d(k) = -x + 1837*k + 1 - 1836*k. Calculate -d(t) - n(t).\nAnswer: 6*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 74?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -313628, -1254301, -2822088, -5016989?\n\"Answer: -313557*m**2 - 2*m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63489402.\nAnswer: 2, 3, 41, 86029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (1 + 0) - -2. Let j be 19\/5 + (-1)\/(-5). What is the units digit of j\/3 + h\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/133*(-1)\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236.1 - -237.1. Which is the closest to v? (a) 0.04 (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*g + 144 = 10, 4*p - 262 = -2*g. Suppose -2*u + 3*u = -15. Let i = p + u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-17) + 4260\/204. Suppose i = -5*d + 6. Let w be (-62)\/(-70) + d\/5. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -41, 0, 77, 202?\n\"Answer: 2*k**3 + 3*k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 4*l**2 - 6*l + 4. Suppose 8 = -4*c, -9 - 5 = -5*d + 2*c. Let u be h(d). Round u to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26236)\/12*-3 - -4)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - t. Suppose -s + 5*s - 20 = 0, -3*c - 24 = -3*s. Let o = -2 - c. List the prime factors of n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/(-5))\/((-9)\/30).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z = 2*z. Let i(m) be the second derivative of 1\/2*m**3 + 0*m**2 - 3*m + 0*m**4 + z + 3\/20*m**5. Find the second derivative of i(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19346*b + 135481. What is c(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-3 + 3)) + 213 + -245\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*m - 7 = 0, -m = -4*d - 0*m + 5. Suppose -a - 2*y + 194 = d*y, 5*a + 5*y = 895. Calculate the highest common divisor of 29 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let m(n) be the second derivative of -n**3\/3 + 6*n**2 - 323*n + 1. What is the smallest common multiple of m(l) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, o: 1, c: 1}. Give prob of sequence cnon.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6684 = 33*t - 6222 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55, 62, 67, 64, 47?\n\"Answer: -o**3 + 5*o**2 - o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 9*w)*(13 - 13 - 16*w) + w**2 - 4*w + 4*w - w.\nAnswer: -95*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 59*s - 345 = 0, 7*x - 3*x - 5*s = 5*x - 3*s - 34 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14614 = -4*i + 10574. Is (4\/12)\/(1\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(10759\/106)*2)\/(-13*(-6)\/(-14)).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-7 + (-3 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.022 or 2.3?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:41 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12556 is divided by 433.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -8\/5*w**2 + 0*w - 2*w**4 + 2\/5*w**5 + 16\/5*w**3 + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/3))\/(j\/j**(2\/7))*j**(-1\/5)*j*j**1*(j\/(j*j**2\/j)*j\/((j\/(j\/(j*j\/j**(-5)))*j)\/j*j)*j)**(4\/9) assuming j is positive.\nAnswer: j**(-533\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 + 32*j + 1. Give i(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -0.6. Let v = 1.67 - -0.03. Let f = -0.3 - v. Which is the third smallest value? (a) f (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**3 + 4*x**2 + 4*x - 2. Let w(t) = t**3 - t**2 - t + 1. Let r = -15877 + 15879. Give r*q(j) + 10*w(j).\nAnswer: -2*j**3 - 2*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 23 + 77 = 0. Let g be 43\/((4\/(-2))\/6). What is the remainder when 12 is divided by 2\/9 - g\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdyqqqdbqqdqqqqb. Give prob of sequence dyb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 2) + (-2 - -1) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -79. Let l = 17 - o. Let v be 38\/(-247) + l\/13. Are v and -12\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/10 + d**4\/2 - 2*d**3\/3 - 5*d**2\/2 - d. Let l be x(5). Let g = 84 + l. Round g to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*v - 3*b + 7 = -1256*v, -4*b + 5 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -5. Let x be 9\/4 + 1\/(-4). Let s(a) = 3*a + 1 + a**x + a - 3*a. Let t(y) = -6*y**2 - 5*y - 7. Give i*s(z) - t(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 29 = -199. Let c be (-10)\/8 + (-1)\/(-4). What is the units digit of c\/(-2 + 33\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(175) - (sqrt(175) - -2*(sqrt(175) + 0 - sqrt(175)))))**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1006\/8)\/(((-66)\/(-24))\/11). Let j = -745 - -1451. Let b = j - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - v)*(-5*v - 8*v + 4*v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37181284?\nAnswer: 2, 7, 1327903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 148\/7, -2\/5, 2.16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 30. Suppose 0 = -6*m + 3*m + 6. Suppose 0 = 3*o + m*o - 40. Solve -o = -y - 5*p, -5*p = -2*y - 3*y + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16102007982 and 0.01758.\nAnswer: -16102007981.98242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-120)\/63) + 7\/(-14). Suppose 0 = 2*g - 3*s + 8, -6*g - 2 = -3*g - 2*s. Is j bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 35. Solve 24 = -5*i - o, o = -i - i - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 1 + 1)*(21 - 2 + 2)*(4 - 4 - 3).\nAnswer: -126*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/14*-8 - 0\/2. Which is the nearest to 0.1? (a) 0.21 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9)**(2\/59)*(q**13)**(-29) assuming q is positive.\nAnswer: q**(-22225\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 186135156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/4 - 2*b**3\/3 - 3*b**2 + 4. Let j(g) = 8*g - 6. Let x(l) = -3*c(l) + 2*j(l). Let f(t) = -91*t - 1. Calculate f(x(q)).\nAnswer: 182*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u**2 + 53*u - 6. Is v(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u = -33165 + 31383. Solve -27*d + u - 228 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783164700?\nAnswer: 2, 5, 23, 491, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217 + -212. Calculate the remainder when 28 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-30)*u*u**36)**(2\/17))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(16\/(-12)*4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158156749, 158156739, 158156729, 158156719, 158156709?\nAnswer: 158156699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 562 and 12?\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/34)*((-16254)\/(-43))\/63.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 178127.\nAnswer: -14\/178127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/13 - 10*q**3\/39 + 3*q**2\/13 + 64. Let h(a) = 0. Calculate a.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28613009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (155\/(-25) - -5)*165. Let m = -141 - u. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybby when four letters picked without replacement from yoyyoobbbbobo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-200)\/5 - (1 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-12) + 1\/(-4). Let v be ((-2)\/3)\/(j\/6). Put 3, -4, v in descending order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + -498. Let o = d - -291. Let n = -116.99796 + o. What is n rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 21*n + 20. Let r(i) = i**2 + 7*i - 7. Let c(u) = -7*r(u) - 2*v(u). Let b be c(7). Let y = -51 - b. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44837721 a multiple of 1559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*m - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i + 15 = 0. Suppose 1 = 4*p + i. Suppose 0 = -4*k - 2*k + 12. Sort p, k, -2 in increasing order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169*t**3 - 33755*t**2 + 72629747 with respect to t.\nAnswer: 507*t**2 - 67510*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39651616?\nAnswer: 2, 17, 72889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033718 + 47*u**2 - 516853 - 516864.\nAnswer: 47*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:03 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.95 + 2.55. Suppose -4*s - 12 = 8*b - 4*b, -10 = -2*s + 2*b. What is the nearest to s in 5\/6, t, 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (1 - 10*-2). Let v be 4\/(-3)*y\/(-28). Is 36*v\/((-4)\/(-2)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 29 = -5*k. Suppose 0 = -t + 4*t - k*m - 1378, -3*t - m + 1381 = 0. Calculate the greatest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**2. Let x(p) be the second derivative of p**3\/3 - 15*p**2 + 1844*p. What is z(x(h))?\nAnswer: -36*h**2 + 1080*h - 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282735 and 15450.\nAnswer: 2827350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -31331221?\nAnswer: 31331201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/3 + s**4\/9 - 10*s**3\/9 - 2*s**2\/3 + 7*s\/9 + 5\/9.\nAnswer: (s - 1)*(s + 1)**3*(3*s - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + t + 5 + 3*t - 4*t as c + r*t and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3*2\/(-54))\/((-22)\/(-6)))\/((-96)\/4608)\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2382, -73, -2\/3, -1\/3, 0?\nAnswer: 1\/2382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411263271 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 148\/28 - (-2)\/(-7). Let b be (-2)\/(-6) - j\/(-3). Suppose 0 = 4*z - x - 1400002, b*z = x - 5*x + 699992. Round z to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*w + 14737 + 5944, 3*s - 4*w = 20677. Suppose -p + s = 4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/2)\/(h*h*h*h*h**5*h*h)*((h\/((h\/h**(-20))\/h)*h*h)\/h)\/(h**19\/h) assuming h is positive.\nAnswer: h**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7710 + -1?\nAnswer: -7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -21, -26, -21, 0, 43, 114?\n\"Answer: r**3 - 4*r**2 - 4*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 + 2*m**2 - 2*m. Let o be f(2). Let y = -23 + o. Solve -2*h = j - 4*j - 2, -y*h + 28 = 4*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 p when four letters picked without replacement from nnwnpiwwin.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 4. Let s(u) = 3*u - 7. Give -7*r(y) + 4*s(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 30. Let n be u(-13). Suppose 0 = 4*f - 5*v - 5, n - 34 = 3*f + 2*v. Is 70\/6*(f + 11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 10) to base 7\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503 + 505. Let t = 7 + 6. What is the remainder when t is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7844 is divided by 504?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**(-2\/51)*(z\/z**(-1\/4))**(1\/39))\/((z**(-2\/7))**(-22\/5))**(-16\/7) assuming z is positive.\nAnswer: z**(111049\/38220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161516 - -161515.9922691. What is g rounded to 4 dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304220 + -83119. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c. Let r(z) be the first derivative of -z**2 - 2. What is m(r(t))?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(sqrt(63)*2))\/(5*(sqrt(256) + sqrt(256)*1 - sqrt(256))) + 2.\nAnswer: sqrt(13)\/240 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18.66*-26362\nAnswer: -491914.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-1 - 2) - (149 - 252)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (1 + sqrt(720)))*-5 - (4 + sqrt(720) + 1 + sqrt(720)) - (sqrt(720) + 5 + sqrt(720)*-2 + -4))**2*1*-3.\nAnswer: -2163 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:05 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:16 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795137 is divided by 4091?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*f = -15, 2911*f + 67 = -3*n + 2906*f for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781344 is divided by 492.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19884 - 19885.3. Let h = 0.3 + 0.2. What is the biggest value in h, 0.1, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196439959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from {s: 1, m: 2, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 17*q**3 - 3*q**2 + 49*q + 34.\nAnswer: (q - 17)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19461599\/164 at most -118667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -537.566 + -9.584. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-7))\/((-378)\/(-2936178))?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.461 - 0.149. Let n = -0.7 - q. Let t = -4.61 - -6.61. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16526 * -0.02\nAnswer: 0.0033052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9483840 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285427, 570832, 856219, 1141588?\nAnswer: 1426939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(2 + 3) + 74. Let o = h + -43. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(153) + -1*sqrt(153)) + sqrt(153) + sqrt(153)*1*5)*4)\/(sqrt(54)\/(sqrt(12)\/sqrt(2)) - sqrt(27)\/(sqrt(3) + sqrt(15)\/sqrt(5))))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 5*g - 1 + 2*g + 3*g**4 + 3*g + 2*g**3 in the form y*g**4 + a*g**3 + f*g + s*g**2 + v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 356.848 to zero decimal places.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 30*r - 178. What is i(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23528 and 426445?\nAnswer: 3411560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -454\/3. Which is the biggest value? (a) x (b) -0.02 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q = 908. Let v = q - 136. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2\/(2 - 62)). Let d be (21 + 0)*v\/(-9). Suppose -17*p = -22*p + d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**5 - 600480*p**4 - 60078609*p**3 + 121958646*p**2 - 61279560*p = 0?\nAnswer: -102, 0, 1, 200260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10415, 20831, 31247, 41663?\nAnswer: 52079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 53\/((8\/232)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1382.58134 - -3.\nAnswer: -1379.58134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (-4152)\/(-560)) + (3 - 14\/5). Let p = 1 - 0. Let z be 48\/70 - (-4)\/(-10). What is the third smallest value in w, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 933695.2mg?\nAnswer: 0.0009336952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + 2*r)*(2 + 1 - 1)*(-6*r + 3*r - 11*r).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**0\/o)))**(-5\/4))**(-4\/3) assuming o is positive.\nAnswer: o**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 5*m + 4*m**2 - 6*m**2. Let o(g) = g. Calculate -5*o(v) + r(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 96*x + 14829. List the prime factors of n(-80).\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -48145 and 2577 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 10) to base 9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795809382.\nAnswer: 2, 3, 132634897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 1, z: 3, j: 1, l: 1}. Give prob of sequence mjsl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 39*u = 2694. Let n = u - 230. What are the prime factors of n?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmjnjjnln. What is prob of picking 3 l?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2629478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30721.\nAnswer: 31, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 397127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y + 8. Let r be c(-4). Suppose -2*f = -r*m + 18, -3*f - 7 = 2*m - 3*m. Let z(w) = 6*w**2 - 4*w**2 - m*w**2. Let a(u) = -u. Give a(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 949906.2 millennia?\nAnswer: 11398874400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, 431, 1556, 2679?\nAnswer: 3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*p**4\/2 + 147*p**3\/2 + 831*p**2\/2 + 1053*p\/2 + 189 = 0. What is p?\nAnswer: -3, -1, -2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (1 + sqrt(1872))*-4 - (-5 + sqrt(1872)*-2))**2.\nAnswer: -24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000374802529 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m**2 - 173*m - 18. Is s(-13) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jfjjhjfjffjhjhjhfh?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -12. Let n(c) = -3*c - 5 + 5*c + 8*c**2 - 19*c**3 + 20*c**r - 4*c. Is 29 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 2. Let k = 26 - f. Suppose 0*p = 5*p - o + 370, 224 = -k*p + o. What is p rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 3. Let b be r(-5). Suppose -39 = -3*k - 5*z, 0 = b*k + 5*z - 4 - 17. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -14. Let g be (-6)\/h*(-40)\/(-6). Solve -5*f = -g*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 8. Let r be x(6). Let o(f) = -2*f**2 + 4*f**2 - 2*f + 0*f. What is the units digit of o(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 - 4*q**2 - q**2 + q + q**2. Let l(z) = 2*z**2. Determine l(n(c)).\nAnswer: 242*c**4 - 44*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 1030 + 348 + 198 + 341.\nAnswer: 3*q - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, -3, 552976, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 6*x**2)*(4 - 4 + 2*x)*(3 - 3 - 1).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*4\/(-3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose -s - l = -6. Suppose 5*h - 121 = 4*v, s*h + 2*h = 3*v + 122. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 92 = -4*t, 0 = -5*t + 156*i - 161*i + 125. Calculate the highest common divisor of t and 1884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 31139*s**2\/3 + 103830*s.\nAnswer: -s*(s - 10)*(s + 31149)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*t**4 + 2803*t**3 - 87*t**2 + t - 658?\nAnswer: -4128*t + 16818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4372*m**2 - 4376*m**2 + 1079*m - 1079*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 10*v**2 - 2. Let z(r) = -r**3 - 10*r**2 - 3. Let i(y) = -4*w(y) + 3*z(y). Let q be i(-10). Is (0 - q)*(-6 - -1225) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 83.\nAnswer: 14608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**3*x**5 + 38*w**3 + 2*w**2*x**2 - 45*w*x**5 - 2*x**2 wrt x?\nAnswer: -60*w**3*x**2 - 2700*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.1 - -47. Let x = -3 + y. Let q = 0.8 + -1.1. What is the closest to x in 2\/15, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 489.22?\nAnswer: 489.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-4 - d**2 + 4) + 11*d**2 + 10*d**2 - 8*d**2 + (-2 + 1 + 0 + (-1 - 2 + 5)*(-1 - 1 + 1))*(-11*d**2 - 12*d**2 + 6*d**2).\nAnswer: 61*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1813806 and 186?\nAnswer: 56227986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -221 + -133330122?\nAnswer: -133330343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*d + 26, -255 = -3*i + 5*d - 310 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 6, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1597*i**3 + 5*i**2 + 7*i - 15. Let c(p) = -798*p**3 - 3*p**2 - 4*p + 9. Let m(o) = -5*c(o) - 3*u(o). What is the units digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 235672*o**2 - 61*o + 1229949?\nAnswer: 471344*o - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 3)*(-128 - d + 128)*(-2 + 3 + 0).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 34*d**2 + 71*d - 300. What is u(32)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-2 + 3)\/((-12)\/4)). Which is greater: 23 or q?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 3*c**3 + 3*c**2)*(0*c - 3*c + 5*c).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -471 + 512 - (39 + 75)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - x + 0*x to r*x + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21536054 to the nearest integer?\nAnswer: 4641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30415767 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((3 - -2) + 3 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - 2)\/(-4 - 0))\/(186\/248).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 669303644*j**3 - 15893*j**2 - 46*j - 8?\nAnswer: 4015821864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 28*c**2 - 61*c + 58. What is r(30)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15112 = 2*b, 0 = x - 2*b - 943 - 2081. Suppose 0*n = -4*n - 3*s + x, 3*s = 4*n - 3010. List the prime factors of n.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.072030973898 + -1.\nAnswer: -1.072030973898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -3.02. Let p = 0.42 + -1.42. Let k = -1 + 0.8. What is the nearest to 0.1 in r, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233576.9969 - -233590. Let o = -796 - -809. Let a = o - v. What is a rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 453651 and 2065767?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**2 - 3*z**4 - 4*z**4 - 8*z**4 + 2*z**4 wrt z.\nAnswer: -312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 36 = -2. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 5)\/(-38 + 32) + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 558?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -47 - 1\/25*c**5 + c - 4\/15*c**3 - 3\/5*c**2 + 3\/10*c**4. Determine y, given that j(y) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:01 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/142 and -14\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1191812\nAnswer: -357543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 22 - (5 + 0 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 171, 151, 127, 105, 91, 91?\n\"Answer: c**3 - 8*c**2 - 3*c + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -17056?\nAnswer: -17056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 2. Let l be j(-2). Suppose 16 = -l*p, 5*s - p = 3*p + 86. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose 2 = -o*i + 5*u + 5, i + u - 5 = 0. Let y be (-2)\/i + 15\/6. Solve -1 = -y*b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2397 in -2\/3, 5, -0.4, -1344?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1932073 - -1134154.1932073. Let i = c - 1134152.159909. Let v = -1.84 + i. What is v rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3021, -8375, -17287, -29757, -45785, -65371, -88515?\n\"Answer: -1779*l**2 - 17*l - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24800)\/14880)\/(9*(2\/9)\/((-6)\/(-9)))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22916.66 and -0.2?\nAnswer: 4583.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4149 + -3577. What is the highest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Suppose 2*s = -v*r + 43, 2 - 34 = -3*s + 2*r. Let u = 22 - 18. What is the smallest common multiple of s and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8585)\/(-5050) + (-6)\/(-20). Let q(o) = o**3 - o. Let s be q(2). Let b = s + 9. Solve 5*u = 5*r + b, -2*r + 0 + 10 = f*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19316*n - 42317*n - 44598*n.\nAnswer: -67599*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 - 8*j**2 + 64*j + 109. Give q(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69384 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/10 - 1901*p**5\/70 + 3643*p**4\/84 + 272*p**3\/21 - 26*p**2 - 10*p + 134. Solve a(i) = 0.\nAnswer: -182, -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 - 166*p**4 + 4508*p**3 - 38184*p**2 - 52560*p + 86400 = 0. What is p?\nAnswer: -2, 1, 24, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/6 - b**3\/6 - 32*b**2. Give m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -170.6 (b) 2 (c) 4 (d) -4\/21 (e) -2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -32, 14, -3 in decreasing order.\nAnswer: 14, 2, 1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113.144 + -30.044.\nAnswer: 83.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3735*r**2 + r + 1. Let u be f(-1). Let h = -29843\/8 - u. Calculate the common denominator of 43\/2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.043 + -7.857. Let t = -8 - p. Which is the nearest to -1? (a) -5 (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, m: 6, t: 2}. Give prob of sequence ty.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176727987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/18*0 - 52. Let g be ((-2)\/(-8))\/(26\/z). Let l be ((-2)\/(-6))\/(1\/3). What is the closest to g in l, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2106)\/(-3159))\/(2\/6*-20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11))**6\/(f\/f**(-9)*f*f**(1\/23)) assuming f is positive.\nAnswer: f**(-1772\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*r = -6, 2*f = -5*r - 20 - 5. Let s(l) be the third derivative of -l**3 - 2*l**2 + 0*l - 1\/120*l**6 - 1\/15*l**5 + 1\/24*l**4 + 0. What is s(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-3*-2*sqrt(68))\/(sqrt(4) - (sqrt(196) + 1*sqrt(196))))**2 + 4 + -4 + sqrt(17)*-1 + -3)*4.\nAnswer: -1260\/169 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Suppose l*g + 15592 = -4*w, -3*w + 4*g - 9589 - 2119 = 0. What is w rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -3*m**3\/2 + 55*m**2 - 108*m. Find the first derivative of l(z) wrt z.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 457, 458, 461, 466, 473, 482?\n\"Answer: x**2 - 2*x + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) -3 (c) 27\/4 (d) 187 (e) 4 (f) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 27*r - 24. List the prime factors of t(5).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**26*o*o)\/o*o)\/o**(-19) assuming o is positive.\nAnswer: o**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 6*d = -4*p - 20, 0 = -3*d - 2*p - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -36.82, 2\/11, -5 in decreasing order.\nAnswer: 2\/11, -5, -36.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 - 307*a**2\/7 + 22992*a\/7 - 66240\/7.\nAnswer: (a - 184)*(a - 120)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -66, 2, 7\/2, -0.018, 16 in descending order.\nAnswer: 16, 7\/2, 2, -0.018, -0.5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**4 + 4178131*w**3 - 1070855*w**2 + 13*w wrt w?\nAnswer: -48*w + 25068786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + 1\/(-5). Suppose 84*f - 83*f = 0. Which is the third smallest value? (a) o (b) -0.4 (c) 5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37581916 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1831, -2311, -3123, -4273, -5767, -7611, -9811, -12373?\nAnswer: -15303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453884.2600052 + -453884. Let f = n - 0.26. Round f to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-33) + 774\/99. Factor 55*i + 95*i**3 - 325*i**2 + f*i**4 + 2*i**4 + 165*i**2.\nAnswer: 5*i*(i - 1)*(i + 11)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61150*q + 2*l = 61145*q - 15, -q - 5*l + 10 - 18 = 2*q + 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q = -88. Let w = q - -31. Suppose -u + 1 = -w. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 minus 468784?\nAnswer: -468783.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -254. Solve c*x = -12 + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.565, 254, 0.3, 1\/5 in increasing order.\nAnswer: 1\/5, 0.3, 0.565, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (27\/(2430\/12) + 78\/15)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43067\/10 - 4296. Let p = -254729\/18 - -14156. Calculate the common denominator of p and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665324 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 3*q + 175. What is the tens digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, -1, -5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -21. Let m be 6*(-4)\/(24\/r). Let q = 16 - m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitt when four letters picked without replacement from ltmlvtlvlmttlttill?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 5*v - 5. Determine d(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by (-3 - 62)*1\/(-1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 3 + 882\/12*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:44 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/744855 and 11\/13110.\nAnswer: 28304490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447607361.\nAnswer: 447607361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 4*s - 191 = -241, 2*o - 3*s = 32 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246814943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, 2, 4, 6 in increasing order.\nAnswer: -4, 2, 4, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89858094 is divided by 639?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134) - (sqrt(1134) - -2*sqrt(1134)*-5) - -4*sqrt(1134)*1)\/((sqrt(22)*2*-5)\/(-2*sqrt(1331))).\nAnswer: 1386*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 286*a**2 - 565*a - 744. Determine q(284).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 18687 - 32911 + 16622.\nAnswer: 9*d + 2398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrryzryyzrr. Give prob of sequence rryr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084 + -0.5?\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 3*f + 4. Let v(h) = 20*h**2 - 8*h + 11. Calculate 6*v(r) - 17*w(r).\nAnswer: r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.77089g to kilograms.\nAnswer: 0.01177089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/410 and -83\/1640.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**4*x + 25*u**4 - 434*u**3*x - 4*u**2*x - 16*u*x - 19*x - 3 wrt u.\nAnswer: 120*u*x + 600*u - 2604*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 314, 479, 654?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 3. Let a = -3 + -1. Let y be l(a). Is y less than or equal to -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4969, 4499, 4027, 3553, 3077, 2599?\n\"Answer: -m**2 - 467*m + 5437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -102. Let p = 72 - z. Is p > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5687417.\nAnswer: 23, 247279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 4 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/20)\/(30\/(-50)))\/(6\/20).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000082522 to 7 dps.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 bigger than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2254, -2252, -2250, -2248?\n\"Answer: 2*r - 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7020 and -1460.6.\nAnswer: -8480.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1078 + -1048. What is the remainder when 231 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v + 796496*v**2 + 6*v - 4*v - 795876*v**2 - 12392 wrt v.\nAnswer: 1240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 111*o + 10. Let s be j(3). Let p = -244 + s. What is the remainder when p is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z. Let r be t(2). Let x be r\/(-10) + 64\/(-10). Let q = -5 - x. Sort q, -4, 3.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+191966\nAnswer: 191965.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -60. What is the remainder when 16 is divided by n\/(-4)*54\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -93, -162, -259, -384?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k + 2. Let d(l) = 2*l**2 - 25*l + 18. Let u be d(12). Suppose -c - 5 = -u*c. Let o be v(c). Is o less than -2\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1827, 2, 3\/4, 5, 44?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*w = -0*w - 7373, 2*w = -3*i + 7388. Suppose -9846 = -4*y + 4*t - 6*t, -y = -t - i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejejjjaejejeaeeecqjj. Give prob of sequence eqe.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4076626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/192180 and 16\/240225.\nAnswer: 960900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*u - 26*u - 50672000. Round u to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671489270 + -569.\nAnswer: -671489839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j. Suppose 3*m - 5 = 2*p, p = -3*m - 17 + 1. Let k(z) = -9*z. Let g(y) = p*d(y) + 4*k(y). Let r(u) = u**2. What is r(g(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -2, 33245, 1, 1\/5 in ascending order.\nAnswer: -2, 0.06, 1\/5, 1, 33245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)\/((o*o\/(o*o\/o**18)*o)\/o) assuming o is positive.\nAnswer: o**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 - 34*c - 70. What is d(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1271, 1553, 2293, 3719, 6059, 9541, 14393, 20843?\n\"Answer: 38*h**3 + h**2 + 13*h + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 122070 = -4*y, -4081*y + 4078*y + 4*m = -91572. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/7, 1\/7, 0.5, 4, -4461?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 18*q + 6. Suppose -q*d + 2 = -3*v + 11, 10 = 2*v + 2*d. Solve f - v = -0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34492779 - -3.97.\nAnswer: -34492775.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180403186?\nAnswer: 2, 67, 1619, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:54 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose 2*f = g*f. Suppose f*j = -j + 20. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p**2. Let m(v) = 12*v. Calculate h(m(u)).\nAnswer: 2304*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3955 rounded to 2 dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*f = -75*f - 126. Let i(c) = -66*c + 21. Let u(g) = -13*g + 4. Calculate f*u(t) - 4*i(t).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14844 - -14865. What is the greatest common factor of g and 1393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 215 in 0, 1, 0.2, 15, 2\/19?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.527245.\nAnswer: -0.527245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6212*c + 31091. Give d(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -371\/23 + 10245\/782. Let j = 2 - 5. What is the common denominator of a and (-66)\/21 + -2 + j?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -21.9. Let r = d + -1. Let t = r - 0.2. Which is the biggest value? (a) 3\/7 (b) -2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 20*z**2 + 30*z - 11. Let u be t(20). Suppose -97 = 6*h - u. What is the second derivative of -12*r + 43*r**4 - h*r**4 + 37*r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -41. Let m = -502 + 512. Calculate the greatest common factor of x and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6216431, -12432834, -18649237, -24865640, -31082043?\nAnswer: -37298446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -26. Let b(j) = 2*j + 1. Let a be b(f). Suppose 5*k - 93 = 3*h, -2*k + 3*h = -a*k + 75. What is the remainder when k is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-46 + -83)) + -100.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + y, 2*y - y = h. Let z = 0 - 0.2. What is the closest to z in -3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 929, 2109, 3761?\nAnswer: 5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0*y**2 - y**2)*(-56 + 91 + 384*y - 35) as r*y**2 + t + h*y + a*y**3 and give a.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101110110?\nAnswer: 101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 780*o. Let d(m) = 23560*m - 11768*m - 11777*m. What is 105*d(y) - 2*x(y)?\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*v, -c - 4 + 2 = 2*v. Let i = -3.0465 + 0.0465. What is the second smallest value in c, i, 3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4617690 and -3\/847.\nAnswer: 50794590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 1. Let s(p) = 4 - 6 - 4 - 8 + 2 - 16*p. What is -2*s(d) + 22*t(d)?\nAnswer: 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:00 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 + 2 + 2*r - r**3 + 2*r**2 - 2*r. Let u be i(-3). Find the second derivative of -5*w**u + 4*w + 0*w + 2*w**2 - w wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from vknosaavnvansakssssv.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25073*j = -25046*j + 567 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 - 20*q**3 + 27*q**3 - 6*q**3 - 4 - 2*q. Determine j(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/1)\/(35 - 37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*l + 242 + 103 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 13, h: 5}. What is prob of sequence eh?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/(4\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 r when three letters picked without replacement from grggccxxcccrcrcc.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-13))\/(53\/6095) - (-12 - -3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2*i + 7. Let y be b(3). Suppose 5*q + y = 4*q. Let o(c) = -2*c + 9. What are the prime factors of o(q)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4731, -5705, -6701, -7725, -8783, -9881, -11025?\nAnswer: -12221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 18 - -11 - (4 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.2 - -11.277. Let j = y - 8.127. Let p = j - -8. Which is the second biggest value? (a) p (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsbsbbbjjbjsbjsbqb. What is prob of picking 1 q and 1 b?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8922 and 200358.\nAnswer: 297932346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 2*q**3\/3 - 246*q - 1. Let c(x) be the second derivative of -7*x**4\/12 + 3*x. Calculate g(c(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -33203.34\nAnswer: -166016.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4846704 decades in centuries?\nAnswer: 0.04846704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -100?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 + 8 = -5*o, 0 = -2*o - 5*t + 25. Suppose o = -4*m + 5*m + 14. Let k = m + 24. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31193 is divided by 600.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/5, -24, 0.1 in increasing order.\nAnswer: -24, -4\/5, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**2*z**4 + 17*n**2*z**3 + 7*n**2*z**2 + n**2*z wrt z.\nAnswer: 120*n**2*z + 102*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/24 and -5\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 9*c + 285. Let x(g) = g**2 + 4*g - 122. Let s(i) = -3*d(i) - 7*x(i). Let y(k) = 5*k**3 - 7*k**2 - 8*k - 6. Determine -6*s(j) + y(j).\nAnswer: 5*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (21 - -2 - 30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440) - sqrt(1440)*-2) + sqrt(240)\/sqrt(6))\/(-2*sqrt(1152) - 2*sqrt(24)\/sqrt(3)).\nAnswer: -19*sqrt(5)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -103.1. Let n = 1.1 + h. Let d = -1\/11 - 6\/55. Which is the nearest to -0.08? (a) n (b) 1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f**2 + 2*f**2 - f**2)*(-2*f + 3*f - 2*f) - 12 - f**3 + 12)*(f + 3*f - 3*f).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8182 and 30.\nAnswer: -245460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-7 - 2\/(-1)). Let d be 6 - (-2 - 0 - w). Differentiate -6 + 13 + 8*f**4 + 4*f**3 - d*f**3 with respect to f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1040)\/(-30)*6\/4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81837, 0, 0.07, 3.\nAnswer: -2\/81837, 0, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.617 plus -1.7926?\nAnswer: -4.4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/12)\/((-18)\/48). Suppose 0 = -0*a + 2*a + 3*s - 51, a - 2*s = 22. Suppose 5*z + 1 + a = 0. Is z bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 13*q. Let f be (-122)\/14 + 18\/(-63). Let m be l(f). Calculate the greatest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -31 + 2 + -2 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753 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: Calculate -2 + -77 + -4 + (16 - 6) + 10.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -4294.\nAnswer: 13\/4294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -23*x**2 - 5*x + 13. Let f(k) = 45*k**2 + 8*k - 26. Let v(s) = -4*f(s) - 9*n(s). Let d be v(1). What is the highest common factor of 45 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 - 101. What is the remainder when 16 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-5\/8)*j)**(-2\/15)\/((((j\/((j*((j\/(j*j\/((j\/((j**(6\/23)*j)\/j)*j)\/j)))\/j)\/j*j)\/j))\/j)\/j)\/j**(9\/2)) assuming j is positive.\nAnswer: j**(5183\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 960118.5 to the nearest 1000.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6726*b + 10863*b + 3429*b.\nAnswer: 21018*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 213. Let a(n) = 124*n**2. Calculate l(a(r)).\nAnswer: -248*r**2 - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*8\/(-3). Suppose 9 - 1 = c*v. Factor -v*k + 2*k**3 + 2*k - 2*k.\nAnswer: 2*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 15*y + 11. Calculate s(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8046488 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 25. Let y be x(0). Suppose 2 = r - 4*q, 4*r - y - 3 = -4*q. Let z(t) = t**2 - 6*t - 6. Calculate z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/180 + 29*y**4\/72 + 34*y**3\/3 - 2437*y**2. Suppose b(u) = 0. What is u?\nAnswer: -17, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221438 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 25. Let w(y) = 5*y**2. Let x be w(1). Suppose -z = -x*l - 2. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2683475658?\nAnswer: 2, 3, 349, 427169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 238737 times -0.1\nAnswer: -23873.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -393 = -g*b - b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2 + 2*(-16)\/(-20)). Let t = -8 - -11. Differentiate a + t*z + z - 3*z with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 3*t**2 - 6*t**2. Let d(a) = -15*a. Calculate d(u(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 830505997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s. Let i(n) = -50*n**2 - 9*n - 40. Let w(k) = k**2 + 2*k + 10. Let p(x) = i(x) + 4*w(x). Determine p(d(c)).\nAnswer: -44206*c**2 + 31*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 19) + (4587 - 4509)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - v**3 + 12*v**3 - 107 + 237.\nAnswer: 11*v**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*t**3*v**5 - 344*t**3*v**4 - 20642*t**3*v + 3*v**2 wrt v?\nAnswer: -900*t**3*v**2 - 8256*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*t = -3*z - 12, -4 = -4*z + t. Find the third derivative of -3*d**6 + 2*d**2 + d**6 + z*d**6 + d**2 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(52) - sqrt(13)) + 5 + -3)*-2)**2.\nAnswer: 64*sqrt(13) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Is 1\/9 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 = -w - 5, a - 3*w - 18 = 0. Let g(m) be the first derivative of -3*m**2\/2 - m + 9373. Determine g(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4979684667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 463464521 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 362612*o - 362614.\nAnswer: 2*(o - 1)*(o + 181307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245 + 248. What is the closest to 0.07 in -3\/16, -4, 5, u?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11777, -2.\nAnswer: -5, -2, 11777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 + 7 = 0, -3*k + 41 = n. Let g be n\/2 + (-3)\/(-6). Solve g = -j - 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19668765 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 74113?\nAnswer: -74112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 658 + 3?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(2\/97) assuming k is positive.\nAnswer: k**(-1\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1957 - 1958. Let r = 1.4 + -1.8. Which is the closest to z? (a) r (b) 3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 3*w**2 - 2*w - 2. Let z be x(-3). Suppose 0 = z*b - 2*b - 6. Suppose 5*h + 29 = b*n, 0*n - n = 2*h - 28. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-17 + 11 + -2)) + -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -21, -12, 1, 18, 39, 64?\n\"Answer: 2*y**2 - y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20764 (base 12) to base 9.\nAnswer: -64334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y + 6. Let w = 6 + -9. Let k be n(w). Calculate the greatest common factor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = 2*p, 0*m = -m. Suppose p*g = j, -2*g = -j - 2*j. Put 5, -4, 4, g in descending order.\nAnswer: 5, 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/7 + 38\/(-7)*203\/(-203). Let q(t) = -2*t**2 + 14*t - 29. Determine q(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(560)*-2 + sqrt(560))\/sqrt(10))\/(sqrt(80)\/(sqrt(60)\/sqrt(6))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 70. Suppose 31 + v = f. Let w(q) = -31*q - 1. Let r be w(-1). What is the greatest common factor of f and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5077.255 minutes to microseconds.\nAnswer: 304635300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.6152 and -4.23?\nAnswer: 82.972296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*q + 12. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -5*i**4\/2 + i**3 + 3*i - 424. Let l(x) = -30*x**3 + 10*x**2 + 10. Determine -10*j(y) + 3*l(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673618 is divided by 162?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 34, 50, 66?\n\"Answer: 16*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3767*m - 38 - 7 + 45)*(-7*m**2 + 3*m**3 + 7*m**2).\nAnswer: 11301*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336155 (base 11) in base 6?\nAnswer: 121235352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(20)*2)\/sqrt(5))\/((sqrt(24)\/sqrt(2))\/sqrt(6) + sqrt(2)*1*-5) + -2.\nAnswer: -2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/7)\/p*p**(-1\/9)*p)\/(p*p\/(p\/(p*p*p**(2\/5)))*p*p)**(3\/8) assuming p is positive.\nAnswer: p**(-3223\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2170, 2173, 2176, 2179, 2182?\n\"Answer: 3*g + 2167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 133*n. Suppose 5*k = -4*m + 5, k + 1 = 5*m + 2. Is o(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(24 - 24 - 8*f)*(2 - 2 + f**3 + (-6*f**2 + 3*f**2 + 2*f**2)*(3*f - 2*f - 2*f) - f**3 + 0*f**3 + 0*f**3).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 5, -107.96, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + 30. Let f(h) = -2*h**2 + 13*h + 28. Let c be f(8). Solve 3*d - 11 = -c*k, 4*d - 4*k = -0*k - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57942 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -67, 0, -4, -7 in descending order.\nAnswer: 5, 0, -4, -5, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, j: 1, q: 3, y: 4, e: 2}. Give prob of picking 1 j, 1 e, 1 y, and 1 q.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 206, 389, 572, 755, 938, 1121?\n\"Answer: 183*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526 a factor of 6264480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-7) - (-12)\/(-42). Let s(p) = -p**3 + 6*p**2 - 5. Let c(a) = -3*a**2 + 2. Let u(x) = h*s(x) + 5*c(x). Find the third derivative of u(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 - 8*k + 1. Let r be h(-8). Let b be r\/((-1)\/5 - 0). Let v(g) = 5*g**2 - 6*g - 6. Is v(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = 0. Suppose 0 = -c*d + d - 2. Suppose 0 = d*o + 3*f - 20, 4*f + 20 = -f. Solve 5*r + 17 = -0*r + z, -r - 4*z - o = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-178)\/96 - -3 - 4\/1 and 79\/22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 221*b**4\/8 - 1980*b**2. Let z(o) = 6*o**2. Give r(z(w)).\nAnswer: 3978*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:28 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -309*i**2 + 3771*i + 918*i**2 - 305*i**2 - 1023*i - 305*i**2. Let m(q) = -2*q**2. What is d(m(o))?\nAnswer: -4*o**4 - 5496*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -14*k**5 + 332*k**4 + 474*k**3 - 592*k**2 - 200*k = 0.\nAnswer: -2, -2\/7, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7))**43\/(d**5*d\/(d\/d**(-2))))\/((d**(-7)\/(d**0*d*d))\/((d\/(d\/(d*d*d**(-7))))\/(d**6*d))) assuming d is positive.\nAnswer: d**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24263 divided by 426.\nAnswer: 24263\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(-20)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 8366926.\nAnswer: -12\/4183463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 209, 207, 207?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734063 is divided by 287?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19431003 to the power of 1\/2, to the nearest integer?\nAnswer: 4408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.3, -9, 8, 0.4, -3\/7, 40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 1, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.77*2705.66.\nAnswer: 64313.5382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - -2*(sqrt(132) + -1*sqrt(132) + sqrt(132)))\/sqrt(11))\/(sqrt(486) - sqrt(486)*-1*-4) + 2)**2.\nAnswer: -4*sqrt(2)\/9 + 326\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 6*p**2 - 2*p + 6. Let w(j) = -j**3 + 12*j**2 - 11*j + 6. Suppose 17 = -3*m + 50. Let a be w(m). Calculate s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-12))\/(1\/27). Let h be (-234)\/(-18) + (-1 - -5). Let z = h - t. Sort 4, -4, z.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 709847, 709850, 709855, 709862, 709871?\n\"Answer: y**2 + 709846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 8}. What is prob of sequence nzn?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-28)\/7*(-6202)\/448 + 18\/(-48)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 7895*o**2\/2 - 15586703*o\/2 + 15578809\/2.\nAnswer: -(o - 3947)**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*r - 1106 = -3*l - 1246, -2*l - 15 = -5*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + -2) - (2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 70. Let m(w) = 12*w + 3. Calculate the remainder when m(3) is divided by (v\/2)\/(((-7)\/196)\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -1\/24*b**4 - 2*b + 0 - 61\/30*b**5 - 10*b**3 - 10*b**2. Differentiate o(s) with respect to s.\nAnswer: -244*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 * -0.076\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - 560\/(-15))\/((-11)\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) -1 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30763*m**6 - 45357*m**2.\nAnswer: 3691560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*s + 52*s + 6970. Suppose 30*x = -3*m + 25*x + 313, 4*m - s = -3*x. Is m less than 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 3200040.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/3 - -4) + 3 + 0. Let j = 21 - 43\/2. Let n = -8 - -9. What is the third biggest value in p, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275070625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 48 = -2*v. Suppose -8*u + v = -4. What is the least common multiple of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12) + 55\/6. Suppose -n + t = -0*n. Calculate the greatest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 6*p**7\/7 + 64*p**6\/5 + 232*p**5\/5 - 146*p**4\/3 - 322*p**3\/3 - 60*p**2 - 632*p. Solve f(o) = 0.\nAnswer: -6, -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.662 + 0.66881. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -12. Let u(h) = h**3 + 3*h**2 - h - 4. Let m be u(w). Solve 0 = -2*y - 2 - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2 = j. Let p(u) be the first derivative of u**4\/4 + 5*u**3\/3 - 5*u**2\/2 + u - 2. Let k be p(-6). Put k, j, 0 in ascending order.\nAnswer: k, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304975?\nAnswer: 5, 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, 11, -29, -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -19b0?\nAnswer: -19b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 4, -110, -2, 1, -5 in decreasing order.\nAnswer: 76, 4, 1, -2, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460251 is divided by 189?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20607 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-4))\/(-2*5\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 - -160. Let f be 170\/88 + 4\/(-22). Which is the smallest value? (a) d (b) f (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*o - 336 = -235*o + 104 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.0941kg in grams?\nAnswer: 439094.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - n**4 - 2*n**3 - n**4 + (247*n - 26*n + 42*n)*(n**3 - 2*n**2 + 2*n**2) to l*n**2 + p*n**3 + r*n**4 + i + v*n and give r.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 21. Let s(q) = 3*q**2 + 15*q + 23. Let h be s(y). Let n = -214 + h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-14821\nAnswer: 7410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18646 is divided by 643?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30864, 61730, 92574, 123378, 154124, 184794, 215370, 245834?\nAnswer: 276168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -450*f**2 - 72*f + 144. Let s(t) = 31*t**2 + 5*t - 10. Give -72*s(j) - 5*w(j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11a65a + -5?\nAnswer: -11a65f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-16)*-2 - 272\/(-64). Is (-5134)\/(-5) + z\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1082 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6377*r**2 + 17066 + 17058 - 34124 + 249*r**2.\nAnswer: -6128*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 103. What are the prime factors of c\/63 + 2775\/21?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 292*o**2\/5 + 6030*o + 81000.\nAnswer: 2*(o - 225)**2*(o + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6*w - 5 = 2*w, 0 = b + 5*w - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274001 and 11375?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 20, 6*k - 4 = 2*k + 3*a. Let i(f) = 0*f - 9*f**2 - 2 - 2*f + k*f**2 - f**3. Calculate i(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164033\/150 + -5462\/5. What is the common denominator of a and -67\/2550?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, -4151, -5, -14 in descending order.\nAnswer: 22, 2, -5, -14, -4151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 10*o**2 + 4*o + 15. Calculate l(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28 - ((27 - (12 - 24)) + -21)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112 + 0.0449923?\nAnswer: -2111.9550077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from rlwccwvoccrco.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 773995 to the power of 1\/2, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g - 3*g)*(0*g + 2*g - g) + 762*g**2 - 1566*g**2 + 679*g**2.\nAnswer: -126*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(7) + 0))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 > -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c*q - 132428*c - 98384*q wrt q.\nAnswer: -6*c - 98384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjz when three letters picked without replacement from vjjjnsnvnazvzaajnvnn.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7124*a + 3*a**2 + 22252*a - 8245*a - a**2.\nAnswer: 2*a**2 + 21131*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -45*q + 43*q. Suppose 0 = 2*p - 10, 6*p = k + 4*p - q. Does 63 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11743, -23483, -35223, -46963, -58703, -70443?\nAnswer: -82183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 248375.\nAnswer: 2\/248375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3667*h*j + h + 414077*j wrt h?\nAnswer: 3667*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 + 2. Let d(q) = -2*q. Calculate d(z(a)).\nAnswer: 8*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c + 9873 = -3*m - 71*c, 5*m = -4*c - 16458. Do m and -3297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20 + 5 = 0. Let b be (-4)\/35 + (-2)\/(-5). Which is bigger: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233603014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*q**3 - 15*q**2 + 20*q - 2*q**3 + 1 - 21*q - 7*q**4 + 1.\nAnswer: -(q + 1)**3*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 + 2*y**3\/3 + 4*y**2\/3 - 8*y\/3.\nAnswer: -y*(y - 2)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -106, -4.\nAnswer: -106, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16568 + 16570. Let d be 209\/44 + (-1)\/(-4). Solve -w = 3*k + 12 - t, 4*w + d*k = -12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 100, -69, 0, -9 in decreasing order.\nAnswer: 100, 0, -9, -10, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhh. What is prob of sequence hhx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 212 * 3\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55651552 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/14 and -89\/952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9812769 times 3?\nAnswer: -29438307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + (sqrt(1300) + -1 + sqrt(1300))*-5)**2 - ((-2 + (sqrt(1300) - (-2 + sqrt(1300))) - sqrt(1300)) + 2)).\nAnswer: -4760*sqrt(13) + 520136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*c - 2*c. Suppose 0*y - 5*y - 3*d - 142 = c, 2*y + d + 56 = 0. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 0*d**3 + 1913*d**2 + 2*d**3 - 1913*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1297601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -404\/399 - -74\/57. Factor x*r**5 + 4\/7*r**4 + 0*r + 2\/7*r**3 + 0 + 0*r**2.\nAnswer: 2*r**3*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1189836 and 1189928 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*u - 2*a, -11*a = -13*a - 2. Solve 3*m + 2*h = -25, -18*m + 19*m = -u*h - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 324\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 2*j + 2, -17*j + 12*j - 5*o = 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154532307 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -40. Let u = -798.56 + 776. Let x = k + u. What is x rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from leelvgqy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 33 + 279 = -4*j, 3*b + 391 = 5*j. Let r = b - -314. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/184038 or 1?\nAnswer: 1\/184038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 2507?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43579249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 1. Let q be p(2). Let a(t) = -t**2 - 3*t + 2. Let u be a(q). Let o(z) = -4*z**3 + 5*z**3 + z**u + 8*z**3. Calculate o(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-26)\/m)\/m))**(11\/2) assuming m is positive.\nAnswer: m**(319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 4*d**2 + d**2)*(1 - 1 + 2)*(-d**2 - d**2 + 3*d**2).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 0*d + 2*d**2 - d**2 - d + d**3. Let x be c(-2). Let y be x + (-2 - 1) + 7. Put 2, y, -1 in descending order.\nAnswer: y, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by -211157?\nAnswer: 106\/211157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/15 (c) -3826 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 22*b - 329. Give f(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949973 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16036282 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (651\/(-63))\/((59\/531)\/(1\/(-3))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159.59996961 - 159.6. Round p to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485368572.\nAnswer: 2, 3, 13, 3111337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2960 * 7199.\nAnswer: -21309040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/56*-4*1. Let w = -35.4 + 34.9. What is the second biggest value in 1.7, b, 3\/5, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 - 3*m**2 - 9*m - 13. What is the remainder when l(-4) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797.2121s in microseconds?\nAnswer: 797212100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**11\/b**(-1\/12))\/(b*b\/(b*b**(-5\/6))*b*b*(b\/b**(-2\/9))\/b))**(-14\/13) assuming b is positive.\nAnswer: b**(-1771\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18) + 1*(-8)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from mikyokkik.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45299.\nAnswer: 97, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28310 divided by 2.\nAnswer: 14155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -67*o**3 - o**2 + o + 1. Let b be f(-1). Calculate the greatest common divisor of 88 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -1675, -3814, -6809, -10648, -15319?\nAnswer: -20810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**2 - 9*o - 39. Determine x(5).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294077 = 6589*w - 1566*w + 92694 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 215025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0*l**4 + 15*l**3 + 1 - l**4 - 7*l**3 as c + k*l**2 + x*l + r*l**4 + d*l**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 95\/3. Which is the nearest to -0.1? (a) 0.9 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, s: 1, x: 1, w: 3}. Give prob of sequence xn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 812\/56 - (-1 + (-1)\/(-2)). What is the units digit of u\/(-30) - 157\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -4\/7, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/2 + -171\/14. Is v at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 0.02.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 253*r + 2511. Calculate l(135).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15917*d**3 + 13360 wrt d.\nAnswer: -47751*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 2*p**3 + 336*p**2 - 4*p**3 - 12*p**4 + 331*p**2 + 3 - 23*p**4 - 668*p**2 to q*p + y + w*p**3 + m*p**4 + o*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 13*x**2 - 18*x + 26. Let w be v(12). Let k = 47 + w. Sort 2, -2, k in decreasing order.\nAnswer: 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 24 = n, 319*j - 314*j + n = -40 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/2*(4 - 6). Suppose 0*d - 3*d = -z. Solve u + 25 = 5*c, -u = 2*c - 13 + d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 4 (c) 0.2 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000230749695 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 1\/3 (c) 3 (d) 28\/9 (e) 1\/45 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 18 = -30*v. Suppose 5*x + 3*t = 12 + 14, 5 = -x - 4*t. What is the greatest common factor of x and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -145.3 (c) -0.01 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 + 1 - 3\/((-5 - -14) + -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*8\/(-10)*(-15)\/(-6). Let t(a) = -81*a**3 - 3*a**2 - a - 2. What are the prime factors of t(w)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24*(3 + (-14)\/4). Suppose 5*o = -3*g - 87, 0 = g + 1 - 2. Let q = t - o. 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: Three letters picked without replacement from {q: 4, h: 3}. What is prob of picking 1 q and 2 h?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(550)\/(sqrt(11)*2))\/(-3*(sqrt(160) + sqrt(10))))**2.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**6\/360 - k**4\/72 - k**2 + 2. Let q(l) be the second derivative of t(l). Factor q(s).\nAnswer: s*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-28))\/(81\/36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 114. Suppose 0 = -m - 0*m + u. Find the common denominator of ((-426)\/(-8))\/((-87)\/(-58)) and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -667.\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -31*z + 109. Let o be q(4). Let a(x) = 11*x - 10. Let y be a(o). Which is bigger: y or -176?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 - 359182*t + 718372 = 0 for t.\nAnswer: -179593, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 at least 0.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-3)\/(-90) + ((-130433)\/(-2208) - 59)\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 2, q: 1, b: 3}. What is prob of sequence qn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence una when three letters picked without replacement from {u: 2, a: 1, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -97. Suppose -3*m + f = -9. Let o(n) = n**2 + 3 + m + 4. Calculate o(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0819 and 24.\nAnswer: 23.9181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3297936 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.5781 rounded to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 1052814196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432766717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845734704?\nAnswer: 2, 3, 17619473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (1 - (-4 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puuu when four letters picked without replacement from {p: 7, u: 9}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*4\/40*-1. Let s = 3 - -2. Let j = s - 5.4. Put 2\/7, j, z in descending order.\nAnswer: 2\/7, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-6))\/((-2)\/(-32)). Solve d + 2*x = -0*d + v, 4*x = 5*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16d (base 14) to base 12.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -307 - -302. Let v(z) = 8*z**2 - 14*z + 14. Let x(f) = -3*f**2 + 5*f - 5. Give c*v(k) - 14*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.5, 2\/107, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by 5.\nAnswer: 101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**3 + 3*o**2 + o - 8. Let h(w) = -26*w**3 + 8*w**2 + 2*w - 23. Let r(t) = -11*d(t) + 4*h(t). What is the common denominator of 47\/4 and r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 5*x - 4. Let u be -3*(-4)\/6*3. Let z be l(u). Solve -j + 6 = t + 2*t, -z*j - 4 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, -454, 27 in decreasing order.\nAnswer: 27, 2, 1, -3, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 9. Let h(g) = -g - 5. Suppose -10*p + 2*q = -7*p - 1, 4*p - 24 = -3*q. Give p*t(a) + 5*h(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - c = -48, -2*n + 36 = 5*c + 26. Suppose -3*q = -3*v + 2 + n, -4*v = -q - 13. Solve v*u + 10 = -2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3443*g + 3645*g + 1065*g - 10706*g - 7687*g to s + o*g and give o.\nAnswer: -17126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 68019881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -17*s + 227. Which is the nearest to 0.2? (a) s (b) -1\/2 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - -2 - (-261)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-47169)\/(-36)*56\/7?\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*14\/(-7)*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005034 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1134*v**5 + 2*v**4 - 185*v**2 - 2*v**4 - 217*v**2 + 31*v**2 wrt v.\nAnswer: -68040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-7 - (-20 - -6)) + -8)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 914780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4415 (base 7) in base 14?\nAnswer: -80c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -16*v**3 + 87*v**2 - 21*v + 40. What are the prime factors of d(-8)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 1. Let b(f) = 11*f - 2. Suppose 2*l = -5*c, -9*c + 12 = -13*c - 4*l. Calculate c*z(n) - b(n).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2177847 and 2177844 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**8\/10080 - r**6\/2160 + r**3\/6 - 3*r. Let q(y) be the second derivative of i(y). Factor q(u).\nAnswer: u**2*(u - 1)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 take away -29?\nAnswer: 28.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -718, -1375, -1850, -2137, -2230, -2123, -1810?\n\"Answer: q**3 + 85*q**2 - 919*q + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1556 + -1555.9. Which is the closest to s? (a) 42\/25 (b) 5 (c) 5\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b - 5*b - 7*b. Solve b = 2*y - 3*x - 2, y + 4*x + 4 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -130845, -130814, -130783, -130752?\n\"Answer: 31*w - 130876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1867*x - 27111 = 382*x - 123 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from dsss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*a - 23, 2*a + 15 = -3*s - a. What are the prime factors of 197 + s + 2 + -2?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5468 and 113\/20.\nAnswer: 27340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -6*c**2 - 24 - 5*c**2 + 2 - 2*c**3. What is the second derivative of g(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3377224 to the power of 1\/2, to the nearest integer?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12558 = 4*h, -3*h - 2*r = -h - 6276. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2303 - 324111?\nAnswer: -331414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3*o - 12, -10 = -5*s - 5*o - 0. Suppose 3 = -a - 0, 0 = -5*d - s*a - 54. Let z = d + 21. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 3*q**2 + 2*q - 3. Let v be w(3). Suppose -107 = -5*o + v. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v - 9. Let l = -16 - -12. What is the remainder when 22 is divided by (-110)\/v - l\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -135a4 + 1?\nAnswer: -135a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (54 - 54 - (0 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-6)\/(-3) - (9 + -14). Suppose j = -h*w + 13, 3*j - 5 = 3*w - 2. Solve p - 4*v = 9 + 3, -3*p - 5*v = -w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230\/63 - 131\/126. Let h = -2\/3 + g. Let x = 45\/2 - 20. What is the common denominator of h and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 60.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 40*b - 2*r = -23052, 0 = 3*b + 2*r - 34573. Does 119 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.67 - -34.61. What is the nearest to -0.1 in 0.4, -12, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0404069 rounded to four dps?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 2106*j - 24984.\nAnswer: -2*(j - 1041)*(j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1876 + 1884. Solve -2*h - 2*h + z = 3*y, 0 = -h - 5*y - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.11124 take away -0.04?\nAnswer: 5.15124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-4 + -11)\/5. Suppose 3*c = c - 2. Let u(a) = -6*a**3 - 9*a + 4. Let z(n) = -n**3 - n**2 - n. Let m(p) = c*u(p) + o*z(p). Calculate m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281401040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:52 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1*v**(-2\/25))\/((v**(-1\/7)*v)\/(v\/(v\/v**(2\/9)))))**(27\/5) assuming v is positive.\nAnswer: v**(-3378\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*m**2 - 11*m**2 + 11*m**2 + (-2*m + 0 + 0)*(0*m + m - 2*m).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*d - 86236 + 803*d + 86236 + d**3.\nAnswer: d**3 + 686*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269 - 268.998217. What is f rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093951 to 4 decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179813 - -179794.0054. Let k = l + 19. What is k rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*i + 761*i - 11 = 3*w, -10*i + 2*w + 30 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2995 divided by -5?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.36. Let u = r - -0.3. Which is the closest to u? (a) 5 (b) 5\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Suppose m*j = -19 - 31. Let k(u) = -u - 8. Let b be k(j). Solve -b + 12 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -207*t - 1. Let z(d) = 2*d**2 + d. Give z(a(l)).\nAnswer: 85698*l**2 + 621*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 425 + 2335. Let j = -294 - y. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2180726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)\/(n\/n**(-2\/17)))\/(n**1\/(n\/(n**(-2\/9)*n)))*(n\/(n**(-2\/5)\/n))**(-4\/15)\/(n**1)**(1\/11) assuming n is positive.\nAnswer: n**(-101153\/42075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2270575687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2285460372 rounded to 2 decimal places?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9567105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 10. Let b = -8 + 6. Let h(l) = l - 3. Calculate b*f(a) + 7*h(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by -2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:33 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*22\/121 + 386\/22. Solve -i = 4*z - 2*i + d, -2*z = 2*i + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(24\/300*-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3214815322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -190 (b) -2 (c) 2 (d) 227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i + 2448576 = 130*i. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47855 is divided by 15075?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, e: 5, q: 1, r: 1, m: 1}. What is prob of sequence mere?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c0ab9 + 4?\nAnswer: 3c0abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/69)\/((4\/15)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(10\/13)*l)))\/(l\/l**(-10\/3))*l**(-29)\/(l**18*l))**33 assuming l is positive.\nAnswer: l**(-21692\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, 16, -3, 5, -25155\/47 in ascending order.\nAnswer: -25155\/47, -3, -0.1, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2 - (-2133)\/1068)\/(-250)). Round n to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368228\/20829 + 934\/53. What is the common denominator of l and -37\/15?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h + 4. Suppose 2*y + 15 = -y. Is 14 a factor of u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-6))\/(-5)*75\/50\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -8718\nAnswer: -87.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 12) to base 13\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 2*n**3 + 5*n**3 + (1 - 2 - 1)*(-1 - 1 + 4)*(41*n - 41*n + 5*n**3) as j*n**3 + d + s*n**2 + i*n and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:15 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18782854.\nAnswer: 2, 9391427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(sqrt(16)\/sqrt(2)))\/(-6*sqrt(36)).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(3\/4))**(-12)*(u**(1\/6)\/(((u\/(u\/(u**(1\/3)*u)))\/u)\/u))**36 assuming u is positive.\nAnswer: u**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11479.302 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29825911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/108 + (-6)\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277777242 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*s = 115*s - 95*s + 1656 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.2. Let s = -11 + 16. Which is the smallest value? (a) s (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -5*a**4\/12 - 5*a**3\/3 - 5*a**2\/2 + 26*a - 17. Let p(b) be the first derivative of w(b). Factor p(s).\nAnswer: -5*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 15792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) + 11*6\/21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1 + 5*h**2 + 1 - 4*h**2 + h**2. What are the prime factors of l(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120100101210 (base 3) in base 13?\nAnswer: a7673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954*g**2 + 2100*g**2 + 965*g**2 - 4016*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1336450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*f**2*n**3*x - f**2*n**3 - 566*f**2*n**2*x + f**2*n**2 + 2*f**2*x - 2*n**3*x wrt n?\nAnswer: -642*f**2*x - 6*f**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13*(1 - 2) - -7. What is the hundreds digit of 52\/39*9\/v + 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 987778 = -33070*r + 33092*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (309 - 308)\/(7\/(-2)). Sort -19, c, -2.1, -1\/3, 1\/8.\nAnswer: -19, -2.1, -1\/3, c, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4692689793 to the power of 1\/3, to the nearest integer?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2475 + 2523. What is the greatest common divisor of 1572 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 78. Let z be o(24). Solve p = -y + 4*p - z, -p + 8 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1175)\/100 - -24 - (6\/(-8) + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 115\/12*m**4 + 0 - 25*m + 5*m**3 + 0*m**2 + 1\/2*m**6 + 4*m**5. Factor x(p).\nAnswer: 5*p*(p + 2)*(p + 3)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f + 141. Let r(b) = -78*b - 976. Let k(s) = -15*j(s) - 2*r(s). What is k(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:34 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*s + 305838 = 2*s, 3*t - 2*s = -183508. List the prime factors of 2\/3 + t\/(-48) + 6.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/22)\/((-6177)\/14413)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -128. Is (1 + 18364\/8)*(4 - y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 13*m + 3 - 5*m - 1. Let b be k(0). Calculate the remainder when ((b - -22)\/8)\/(1\/11) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3221 (base 5) to base 3.\nAnswer: -121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**3 - 9. Let u be 3\/12 + (-19)\/(-4). Let g(x) = u*x + 7*x - 10*x. Calculate f(g(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 546509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39358.\nAnswer: 2, 11, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oud when three letters picked without replacement from uwwwudoouqoooodd.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165.774 - 189.08. Round u to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770643 is divided by 485.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)\/(91\/(-26)). Let d(q) = q**3 + 7*q**2 + q + 2. Let n be d(-7). Let k = n - 0. What is the nearest to -0.2 in k, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 488766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 2\/44855 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + 13365297\/(-45) + 7. What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 13*s - 42 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5352 and -25\/22746.\nAnswer: 90984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(11 + 10 - 5)*(-1 - 2*m**5 + 1).\nAnswer: 32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 + 380. Put -2\/11, w, 4\/3 in descending order.\nAnswer: 4\/3, w, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 + 2*s + 4. Let x be p(3). Let h(d) = -d + 2. What is h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294708*b**5 + 8619*b**2 wrt b.\nAnswer: -17682480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75.63 - -1.63. Let s = b - -75.65. Let n = 0.66 - s. What is n rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/25)\/((-22)\/110).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - b**2 - 10*b + 3. Let n(k) = -k + 1. Give -3*n(y) + s(y).\nAnswer: -4*y**3 - y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 1 (c) -0.06 (d) -0.3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14856 and 20742690?\nAnswer: 3714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/7 + (-6)\/(-21). Let l = 4.3 + -4. Let j = -1.3 + l. Which is the closest to j? (a) 3 (b) -5\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13)\/z**(-2\/15))\/((z*z*z\/(z*z\/(z**(-5\/7)*z))*z)\/z)**45)**(-1\/11) assuming z is positive.\nAnswer: z**(7426\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -197901 equal to -197893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -531.72928 times -0.5\nAnswer: 265.86464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 922, 1381, 1840?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 11, -2 in descending order.\nAnswer: 11, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -48, -89, -138, -195?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2. Let m(x) = -115079*x. Determine m(z(g)).\nAnswer: -115079*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.172\nAnswer: -2.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a - 2*a**2 + (2 + a - 2)*(-a + 3 - 3) + a + a**2 - a - a + a - a**2)*(-2 - 4 - 1) as q + h*a**2 + w*a and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -52. Suppose 4*i - 11*c + 15 = -8*c, 0 = 3*c - o. Solve w = 5*h - 18, -22 = -4*h - 3*w - i*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 6?\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 367004*v**2 + 49926416*v + 1697655360.\nAnswer: -(v - 367140)*(v + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.87 - 11.87. Sort -246, o, 4.\nAnswer: -246, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = -3*f + 57, -4*f + 51 = z. Suppose 89219*m = 89242*m - 46. What is the greatest common divisor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - r**2 + 9 + 51*r**2 + 35*r - 35*r + 0*r**2 + r**2 + r**2 + (3*r - 4*r + 0*r)*(r + r - 4*r) + 5*r**2 + 2*r**2 - 6*r**2.\nAnswer: 55*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 6*p**2 + 3*p. Let t(c) = -3*c**3 - 3*c**2 + 2*c. Let f = -721 + 728. Give f*t(v) - 4*m(v).\nAnswer: -v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.39, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, r: 3}. Give prob of picking 1 v and 1 r.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 + 2*s + 246. Determine i(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a day in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.096363 to two dps.\nAnswer: -35.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2750*l**2 + 5514*l**2 - 188 + 188. Let n(b) = 2*b. Calculate n(v(u)).\nAnswer: 5528*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - (-5 + 2) - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.5 - -26. Sort a, 0.5, 1\/7 in descending order.\nAnswer: 0.5, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 27*b + 26. Let i be l(-27). Suppose v + 3*v = 2*s - 20, 4*v + i = 5*s. Solve y = -0 + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 3. Let k be v(-5). Suppose -13*y + 14*y = 0. Let n be (y + 40)*(-11 + 12). Calculate the highest common divisor of n and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 106, 4 in decreasing order.\nAnswer: 106, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39\/4 + 203\/20. Let i = 1 + 1. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - ((7 + 5 - 3) + -11)) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 692 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -55*k - 6*k**2 + 28*k + 27*k. Let q(p) = p. What is j(q(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1399, 5515, 12345, 21889, 34147, 49119?\n\"Answer: 1357*o**2 + 45*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/6)\/j)\/j*j*j)\/(j**14\/j*j))\/(j**3*j**(-1\/9)\/j) assuming j is positive.\nAnswer: j**(-289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2695)\/(-1078) + (141\/(-6) - -6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*26464471.\nAnswer: -79393413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 787*b**4*i**2 + 370*b*i**2 + 2*i**2 wrt b.\nAnswer: 9444*b**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 2*y**5\/5 + 11*y**4\/12 + 2*y. Let z(x) = -3*x**3 - 4*x**2. Let t be (8\/(-28))\/(3 + 41\/(-14)). What is t*g(k) - 11*z(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**4\/12 - 2*c**3\/3 - 6*c**2. Let w be p(3). Solve 3*u + h + 10 = -w*u, 2*h + 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23330201 (base 5) to base 11\nAnswer: 137113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-171))\/((-4)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3236 = -4*n + 3*z, -30 = 3*n + 3*z - 2436. Let m = n + -851. What is the fourth biggest value in 1, 0.4, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let t = 19.2 + -15.42. Let m = -0.22 - t. What is the nearest to z in 1\/3, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 153070572*k. Let a(h) = 2*h**2. Calculate x(a(o)).\nAnswer: 306141144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 2720?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus -2.901?\nAnswer: 2.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:41 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.333 - -0.363. Which is the nearest to 1\/3? (a) 0.4 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {w: 3, x: 1, e: 2, n: 1, l: 6}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 2*k**2 - 129 + 0*k**4 + 8 + 49 + k**4 in the form s*k**4 + y*k + v*k**3 + a + f*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-158)\/(-14) + 8\/(-28). Let a be (2 - 4) + g + (-4 - -2). Suppose 0 = -a*b + 650 + 778. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 1157, 1687, 2215, 2741?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016899 rounded to seven dps?\nAnswer: 0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12533 - -12538. Let z(w) be the second derivative of -2*w**2 - 3\/20*w**b + 0 - 11\/12*w**4 + 26*w - 2*w**3. Factor z(u).\nAnswer: -(u + 1)*(u + 2)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507187 to the power of 1\/2, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -87*o - 2. Let z(d) = -2*d. What is z(k(l))?\nAnswer: 174*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:34 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*i - 2*v, 2*i + 2*i + 5*v - 26 = 0. Solve -i*c + 6 + 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 320*s + 14. Let i(p) = -958*p - 44. Give -6*i(c) - 19*x(c).\nAnswer: -332*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/3 - 82*v\/3 - 1681\/3 = 0 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 5, 4, 4\/11 in decreasing order.\nAnswer: 124, 5, 4, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*j**3 - 79*j**2 + 610*j + 3000.\nAnswer: -(j + 4)*(j + 10)*(11*j - 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/55120 and -7\/21911578?\nAnswer: 876463120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/2 + 4*b**3 - 15*b**2\/2 = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 162 + 0\/(-25) is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 11*y**6\/600 + y**5\/10 - y**4\/10 + y**3\/3 - 182. Let w(l) be the third derivative of s(l). Suppose w(x) = 0. Calculate x.\nAnswer: -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/267 and -77\/24?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 38, 2 in descending order.\nAnswer: 38, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887263 is divided by 766?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -168, -254, -338, -420, -500, -578?\n\"Answer: m**2 - 89*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let h(d) = d**2 + 3*d - 22. Let y(i) = -i**2 - 4*i + 23. Let n(v) = -4*h(v) - 3*y(v). Give n(p(r)).\nAnswer: -4*r**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.8 + -4.2. Let f = 23.1 - -14.8. Let m = 38 - f. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/5, -52, -3, -8\/79, -21, 0.5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**2\/r))\/(r*r**(-5))*(r**(2\/7))**(-2\/35))\/(r**(-5)*r\/r**(-2\/21)*r**(-4\/7)*r*r\/r**(-5)) assuming r is positive.\nAnswer: r**(1073\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1162.609 + 1162. Let f = u - -0.109. What is the closest to 0.3 in f, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 8*i**2 + 10*i**2 + 2*i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32116 divided by -14\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:43 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -2*k**5\/25 + 22*k**4\/15 - 41*k**3\/15 + 2*k**2 - 8*k + 45. Let o(n) be the first derivative of v(n). What is y in o(y) = 0?\nAnswer: 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*h**2 + 493833*c**3*h**2 + c**2*h + 4560*c**2 - 24*c*h**2 + 3*c*h wrt c.\nAnswer: 48*c*h**2 + 2962998*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 19568874?\nAnswer: 19568874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*c - 18 = -5*y, 3*y - 10 = c. Suppose 45 = -4*a - 5*j, 13 = -a + y*j + 5. What is the units digit of 5\/a*(-14)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20805 = -21679. What are the prime factors of i?\nAnswer: 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 28990096.\nAnswer: 28990098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 45*i**2 + 3*i + 3. Let x be h(-1). What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14880*w**6 - 4*w**5 + 1220826*w**2 wrt w?\nAnswer: 1785600*w**3 - 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + (-45)\/10)\/(9\/54). Let v(n) = n**2 - 3*n - 1. Let l be v(5). Calculate the greatest common divisor of l and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/705852 and -79\/1999914.\nAnswer: 11999484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -4. Let s = 65674.2 - 65674. Let o(d) = -d + 2. Let u be o(7). Sort -0.4, s, u, x in increasing order.\nAnswer: u, -0.4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 152*d - 1788. Determine i(10).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -10 - -9 - (-6 - 3 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 0)*(-6*c - 2*c + 4*c) + (-1 + 0 + 4)*(-4*c + 0*c + 3*c) to r*c + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -170*f + 49 - 217 + 1528. Let q(p) = -21*p + 102. Give q(f).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n*r**4 + 15*n*r**3 - 2*n*r**2 - n - r**4 + 433*r**2 wrt r?\nAnswer: -72*n*r + 90*n - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-80)*8*(-1960)\/1372?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/((sqrt(132) + (sqrt(132) - (sqrt(132) + 6*sqrt(132) + sqrt(132))))\/sqrt(12)))\/(-4*(sqrt(1452) + sqrt(1452)*-6)).\nAnswer: -sqrt(3)\/1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)*p*p**(1\/12))\/((p\/(p*(p**10\/p)\/p))\/(p\/p**5*p)))**(2\/113) assuming p is positive.\nAnswer: p**(38\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*d - 18. Suppose -q = -2*a + 22, -2*a - 16 = -d*a + 3*q. Calculate the least common multiple of 3 + 5 + 6\/3 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 + 1)*(1 + l - 1)*(l - 2*l - 3*l)*(-14 - 11 + 10) to f*l + p*l**2 + u and give p.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34 + (4 - 2) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230070583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*k - 2*j, -5*k + 11 = 4*j - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -20b9203?\nAnswer: 20b91f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4552, -9108, -13662, -18214, -22764, -27312?\n\"Answer: b**2 - 4559*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {p: 1, q: 1, z: 1, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422989359 to the power of 1\/2, to the nearest integer?\nAnswer: 37723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164702066 and 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, u: 1, g: 3, b: 3}. Give prob of picking 1 u, 1 g, and 1 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3\/21*-1). Let j be m\/(-2) - (9\/(-6))\/1. Suppose 4*a + 57 = j*a. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176845601 + 0.5.\nAnswer: -176845600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18\/19, 2, 3\/5, 0.15369?\nAnswer: 0.15369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-1595)\/(-121) - 21\/(-297).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 28*g - 114. Let h be o(-22). Suppose -27 = -5*x - 4*m, 0 = -5*x + 9*x + 2*m - h. Suppose 10\/3 + x*l - 1\/3*l**2 = 0. What is l?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 38005?\nAnswer: 380050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = 16. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*35\/84)\/(27\/27)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 44304*g + 620246. Determine q(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 2*k**2 - 2*k - 6. Let p be o(-2). What is the greatest common divisor of 78 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, h: 2}. What is prob of sequence hhww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 7 + 0 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 20*s**2 + 51*s + 19. Let z be m(-17). Solve 0 = -4*c + 4*g - 36, -z = 2*c - c - 3*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1411 + a9b4?\nAnswer: 10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16811.95874 + 16812. Round u to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 168?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 165*j**2 + 115*j + 8038. Give o(164).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 691 - 286. Suppose -4*b - u = -9*b. Calculate the greatest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352524052?\nAnswer: 2, 367, 240139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -6*w, -2*r + 3*w = -6*r - 11 - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**6\/135 + y**5\/30 - 6*y. Suppose u(q) = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*q - 24. What is the greatest common divisor of 60 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219308968?\nAnswer: 2, 47, 3242843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 7. Let l be x(7). Suppose l*z = 3*z + 6. Put z, 7, 5 in increasing order.\nAnswer: z, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13258787 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 7*r**2 - 178*r + 127. Determine z(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -157 + (19 - (-2 - (25 + -19 - 5)))?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3649*-2397\nAnswer: 8746653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/16 and (-20)\/(-30) - 37\/(-30).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2 + 2. Let l(u) = -u**3 + 6*u**2 + 6*u + 7. Calculate the remainder when l(6) is divided by i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8962017 decades to millennia.\nAnswer: 0.008962017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -539 + 534 - (1 + -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*b - 292*b = -1395. Let z = -149 + b. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28245)\/(-630))\/269*-804?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z = -113*z + 9. Solve -n + z*s - 5*s = 1, -n = 4*s + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 - 11*m + 11. Let v(z) = z**3 + 20*z**2 - 20*z + 15. Let o be v(-21). Let x be b(o). Solve -a + 4*n = 9 + 13, -25 = -x*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1181.\nAnswer: -4\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2 - c + 2 - 1 + 4. Let v be h(7). Suppose -o = l + 2*l - 14, 4*o + l - 23 = v. Solve -2*n = -8, -o*b - n = -5*n - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45218 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 143088*x**4 - 1266081900*x**3 - 243027029600*x**2 - 717682488000*x = 0.\nAnswer: -185, -3, 0, 17980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226*c**3 - 313330*c**2 + 6024581*c wrt c.\nAnswer: 1356*c - 626660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - 69. Give i(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2281028 - -1560141. Let r = -220887 - l. Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97458605753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (44\/(-12))\/11. Which is the closest to g? (a) -0.5 (b) -5 (c) 18 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 107, -1, 3 in decreasing order.\nAnswer: 107, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7.7. Let l = c - 0.1. Let z = l + 0.6. What is the biggest value in 1, z, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:01 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22523 - 23028.46. Round n to the nearest integer.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(-45)\/70*2\/3. Solve -13*g + 20 = -m*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, n: 2, v: 1, d: 1}. Give prob of sequence dxv.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1013.9999623 - -1014. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + k**2 + 1. Let m(o) = 2*o**2 + 10. Let d(z) = m(z) - 4*y(z). Let h(u) = -u**3 - 1. Let a(w) = -d(w) - 6*h(w). Find j, given that a(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12138\/(-3366))\/(-119)*12.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 2. Let q(i) = -i - 2. Let a be q(-4). Let o be a*(-2)\/8*10. Give p(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -31.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 229019000 rounded to the nearest one million?\nAnswer: 229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/7)\/(1\/(-7)). Suppose 0 = 2*q + 2 - l. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308 - 313. What is the second smallest value in 1\/3, -4\/7, m?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 7*a + 5. Let d be h(-7). Solve -m + 3 = d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(30)\/sqrt(5) + sqrt(6)) + sqrt(19) + ((sqrt(152) - sqrt(152)*2) + sqrt(152))\/sqrt(8))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -144*10\/5280*4\/(-90)\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**33*p**8)\/(p**16)**36 assuming p is positive.\nAnswer: p**(-535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473.54ml in litres?\nAnswer: 3.47354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 114*d**2 + 48*d**5 - 64*d**3 - 303\/4*d**4 + 173 - 48*d + 25\/2*d**6. Determine n so that s(n) = 0.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a = -t + 22, -3*t - 3*a - 9 = 0. Let k be 11*(86 + 6\/t). Suppose -7*s = -1058 - k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 3*w - 989*w**2 + 7*w**3 + 3*w + 5786*w**2.\nAnswer: -2*w**3 + 4797*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41876184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181.198cm in nanometers?\nAnswer: 21811980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-24))\/((-8)\/(-84)). Is (-40882)\/(-12) + n\/(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5437 + 5199 - 10638 + 10*c.\nAnswer: 10*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*147\/77*2156\/392.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*p**3 - 303*p**3 + 73*p**3 - 24*p**3)*(p**2 + 2*p - 2*p).\nAnswer: -386*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285503 < 4285476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/24 + 7*t**3\/3 - 19*t**2. Let f be n(12). Solve 2 - 8 = -f*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b - 4*b**4 + 5*b**4 - 5*b**4 + 4*b**4 + (-1 + 2*b + 1)*(-b**3 + b**3 - b**3).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 - 20*q\/11 + 2.\nAnswer: -2*(q - 1)*(q + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80 + 40 - 121 + 3*y**3 - 14*y + y**2 + (y**2 - 4*y + 4*y)*(y + y - y) + 2*y**3 - 9*y**3 - 8*y**3.\nAnswer: -11*y**3 + y**2 - 14*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 1059?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 689241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -659 + 739.6. Let b = z + -81. Suppose -2160 = -8*o + 48*o. Put b, o, -0.3 in descending order.\nAnswer: -0.3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82432 <= -82433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-34)\/(-3))\/((-5)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 539 - 538.99243. What is i rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5250 divided by 2.\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16576403, -16576410, -16576427, -16576460, -16576515, -16576598, -16576715?\nAnswer: -16576872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-9)\/4. Let l(j) = 2*j + 1. Let n(c) = -10*c - 5. Let t(a) = -4*l(a) - n(a). What is the units digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 10:51 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56069)\/(-38)*(-2)\/(-1). Suppose z = o + 12*o. What are the prime factors of o?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/42*(232\/(-522))\/(24\/(-81)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100164 (base 8) to base 3\nAnswer: 1200002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * 0.17.\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 32 - -34) + -33 + 1 + -1 + 24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -9 + 4 + -6 + 11 + 32\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((4\/(-192))\/(-1)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/(12\/32). Suppose 2*x + f*a = -2*a + 52, -3*x + 4*a = -128. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*b - 47224, 13*b - 17*b - 24 = 0. Does 59 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 - 6 - (-4)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4346 is divided by 274?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*v**3 + 12*v + 75*v + 2*v**5 + 3*v wrt v.\nAnswer: 40*v**3 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2903 = -2905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s. Let i = -53 + 52. Let a(z) = -z. Let p(n) = i*b(n) - 8*a(n). Give p(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 15*m - 18. Let f be h(16). Let k be f\/(4 + 2)*3. Let p(a) = 51*a**2 - a + 1. List the prime factors of p(k).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*r + 32. Let w = r + 4. List the prime factors of (2\/(-1))\/((-2)\/w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6875 = 410*i - 150785. Let v be (-8)\/(-6)*(-78)\/(-4). What is the greatest common factor of i and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244\/3 - -82. Factor 0 + 2*c**2 - m*c.\nAnswer: 2*c*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745319 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 - 208*o**4 + 405*o**2 wrt o.\nAnswer: -120*o**2 - 4992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*h - 10 = 0, -y - 5*h = -0*y - 25. Suppose y = -5*w - b + 2554, 334 + 686 = 2*w + 2*b. Let p = 287 - w. Round p to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-204)\/(-153)*21\/17)\/(84\/238)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*(315\/10)\/(-21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - c + 0*c)*(10395*c**2 - 4772*c**2 - 4803*c**2) - 2*c**3 + 2*c**3 + 2*c**3 in the form u*c + b*c**2 + t*c**3 + r and give t.\nAnswer: 1642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Suppose 0 = -j*v + v + 20. Let -v*i**2 + 10*i**2 - 8*i**2 - 4*i**3 + i**3 - i**4 = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3899378 and 347222.\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 632539024*r**4 - 543257989*r.\nAnswer: 7590468288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64923034 and 734?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - sqrt(275)*-2 - (sqrt(110)*1)\/sqrt(10).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 38*x**4 + x**3 - 7*x + 41*x**4 - 78*x**4 + 2 as w + k*x**3 + n*x**2 + b*x + l*x**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011001010110001 + -1010011100000?\nAnswer: -11100011110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-99)\/6)\/(-1))\/(986\/(-1972)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {n: 2, v: 6, k: 6, o: 1, r: 3}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814320 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385 take away -140.84?\nAnswer: 2525.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.7490146 to 3 decimal places.\nAnswer: 37.749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916051 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6995406 weeks to minutes.\nAnswer: 7051.369248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 5, -284\/109, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 440*s - 2. Let t(i) = 8*i**2 + 3*i - 6. Let l(c) = -5*c**2 - 2*c + 4. Let j(o) = -3*l(o) - 2*t(o). Give a(j(x)).\nAnswer: -440*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06609 and 22?\nAnswer: 1.45398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/33)\/(-2) + 112\/(-132).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90643, -90676, -90731, -90808, -90907, -91028, -91171?\nAnswer: -91336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13\/5, -0.5, -2\/7, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -35. What is the nearest to -2 in 2\/7, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36704569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l + 546 - 2385 = 219. What is the remainder when 579 is divided by l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {s: 8, n: 1, j: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274378025, -548756044, -823134063?\nAnswer: -1097512082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*o - 2*m - 2*m, 26 = 3*o - m. Calculate the greatest common factor of 84 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2389406*m + 3193443*m + 2 - 2.\nAnswer: 5582849*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 + -206. Suppose -8*s + 4188 = m*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 less than 10439?\nAnswer: 10421.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4447 - -30292. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 11 - 3. Find the second derivative of -5*c**5 + 2*c**4 + c**4 - 3*c**v + 2*c wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 4*g. Let s(p) = -p**3 - 5*p**2 + 4*p. Give 2*s(b) - 3*u(b).\nAnswer: -2*b**3 + 2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*x - 17. Let o(q) = 0*q + x*q - q - 2*q. Let f(l) = -l**2 - l + l. Give o(f(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) - 2*sqrt(91)) - sqrt(91))\/(sqrt(448)*1).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) 7\/2 (c) -2.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b + 8. Let o(x) = -x - 1. Let g(n) = -m(n) - 6*o(n). Suppose -2 - 26 = 1087*p - 1094*p. Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:18 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37165 = 58*r - 5755. Calculate the greatest common factor of 5624 and r.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {h: 1, v: 1, m: 1, y: 2, r: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 690860 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.798 - 0.048. Let p = q - 20. Let y = p - -0.359. Round y to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u**3 + 2*u**2 - u. Let l be b(1). Suppose 0 = -3*v + a - 23, 4*v = 6*a - a - 49. Let o = l + v. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -56*t - 28. Let v(g) = 53*g + 35. Let z(o) = 4*v(o) + 5*x(o). Let p(a) = 102*a. Calculate 5*p(k) + 8*z(k).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35 + 5)*(-2)\/4. Suppose -2*k + j = 3*k. Solve -8\/7*o**2 + 0*o - 130\/7*o**4 + 0 + 100\/7*o**5 + 8*o**k = 0 for o.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - s**4 + 0*s**2 + (-s**3 + 0*s**3 + 0*s**3)*(3*s - 3*s + s) + s**4 - 3*s**4 + 0*s**4 - s**4 - 6*s**4 + 4*s**4.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 10, -2*g + 3*y - 4*y = 5. Suppose 4*l = -g*l + 8. Suppose -3*x = l*x - 60. 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: Let l(v) = v**3 - 14*v**2 - 10*v - 45. Give l(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136206640?\nAnswer: 2, 5, 1217, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/760)\/(516\/5504))\/((-2)\/(-5)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -92, -124?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-3)\/((-112)\/38 - -3). Let a be l*(-5)\/15*1. Let z(w) = -2*w**2 + 36*w + 12. Let y be z(a). Solve -j - y = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeie when four letters picked without replacement from ieexexxx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 126620*k - 1139582\/9.\nAnswer: 2*(k - 569791)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {u: 13, f: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 1096*x**2 - 11468*x - 27352.\nAnswer: -4*(x - 263)*(x - 13)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476772.\nAnswer: 2, 3, 67, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2\/7 - 465*d\/7 - 918\/7 = 0?\nAnswer: -153, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let p be t(-2). Which is the biggest value? (a) -1\/2 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-3\/2)*n))\/((n\/n**(-4))\/n))\/(n**(-2\/9)*n*n)**(-8\/5))\/(n*n*n*n*n**(-3\/11)*n**13)**46 assuming n is positive.\nAnswer: n**(-761419\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1107.59 - 1028.6. Round r to 0 decimal places.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2*q - 5*q + q)*(3*q - q - 4*q + q + 4 - 4 + (-2*q + 0*q + q)*(-3 + 2 - 1)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s + 2*f + 756, 746 = 4*s + 3*f. Let l = -38 + 148. Let c = s - l. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2. Let i = -1 - c. Does 7 divide 20 - (-1 - 2) - i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.15232 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3 - 2*k**2 + 2*k - 1. Let l be n(8). Suppose 0*i = -3*i + l. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/226480 and 59\/380.\nAnswer: 226480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 20*t - 29. Calculate h(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*r + 321*r = -60. Let y(p) = p**3 + 3*p**2 - 2*p - 1. Let h be y(-3). Solve -2*w + r*w = -h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3388*g - 44039. Give n(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 15, 0 = 5*m - 3*s. What is the second smallest value in -55, 0.1, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3746 = -26*w + 25*w, -5*u - 25 = 0. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:56 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 4*n**2 - 30 - 28 + 68 as r*n + x + g*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -9, 9, -6, 2 in decreasing order.\nAnswer: 9, 4, 2, 1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (21 + -20) - 4 - -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 713 + -717.89. Let k = 1.11 - m. Put 1\/4, k, 5, -4 in descending order.\nAnswer: k, 5, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybvvyyyyvayvyv. Give prob of picking 1 y, 1 b, and 1 a.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*a**2 - 221*a**2 + 2*a**3 + 0*a**3.\nAnswer: 2*a**3 - 178*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*v - 11 = 0, 5*v - v = 12. Let t(p) = p**2 - 7*p + 16. Let j be t(q). Solve -s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 + 3*i. Let p be 2\/(0 - (0 + -2)). Let o(f) = -2*f**3 - f**3 + f + 2*f**3. What is p*l(a) - 3*o(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = 4*f. Let z be 495\/(-180) - 3\/(-1). Suppose -5*q - 3 = -18. Sort f, q, z in descending order.\nAnswer: q, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*b - 22*b**2 + 2*b**2 + 57*b - 23*b.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -284. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -3 - -4 - 0. Solve n - 2*u - 8 = 0, 0*n - 2*n = -a*u - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (126 + 1 + -1)*(-19 - (-5040)\/270)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + -2 + sqrt(704) + 2 + 1)**2.\nAnswer: -160*sqrt(11) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose -5*y + y = a. Differentiate 1 + 4 - 4*i**4 + 6*i**4 + y with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101355398430 to the nearest one million.\nAnswer: -101355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3 + 4*f**2 - 611*f + 5070 = 0.\nAnswer: -30, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13)*3 + sqrt(13) + (sqrt(13) - (-4 + 0 + sqrt(13))))**2.\nAnswer: 104*sqrt(13) + 2213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 7*l. Let v(i) = -i. Let b = -13 - -11. Let d(x) = b*v(x) - o(x). Factor d(t).\nAnswer: -3*t*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 88. Suppose -6*a + 7*a = l. Solve 0 = -8*m + 6*m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + f + 29. Let k(p) = -4*p**2 - 2*p - 30. Let v = -172 - -174. Let d(j) = v*k(j) + 3*x(j). Calculate d(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 8, g: 2}. Give prob of picking 2 x.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1545590 and 1270.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26965 and 150281338?\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 304\/(-19) + (-1680)\/(-231)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 18. Let p be s(-11). Suppose 3*i = p - 4. What is the smallest value in -2\/7, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57267 and 0.3.\nAnswer: -17180.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 4*b + 6. Let y be k(6). Suppose g = -0 + 14. What is the greatest common factor of g and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105, -102, -97, -90, -81, -70, -57?\n\"Answer: m**2 - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-18)*((-561)\/(-12) - 2). Let j = 120 + p. Factor 0*n + 8\/3 - j*n**2.\nAnswer: -2*(n - 2)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from fffwwwf.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195279137891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18926 or 18927?\nAnswer: 18927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Suppose f*j - 11 = -s, -6*j = -2*j + 3*s - 18. Suppose j*i - 40 = -c + 96, 0 = -4*i - 3*c + 173. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i = -41*i - 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44861040 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 98 - p**2 - 99 + 2*p**2. Let j(o) = -2*o**4 - 3*o + 3. Let x = -8 - -5. Let y(a) = x*m(a) - j(a). Find the third derivative of y(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**3 - i + 3. What is the remainder when 398 is divided by c(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 2192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16243205566 - -5?\nAnswer: -16243205561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 6 = 18*b - 17*b, 12*p - 106 = 13*p - 5*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i*i*i**(-1\/2)*i)\/i)\/i)\/i**14)\/(i**(2\/5)\/i**(-1\/5)))**(-17) assuming i is positive.\nAnswer: i**(2227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 1, p: 1, e: 7, d: 5}. Give prob of picking 1 u and 1 e.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -h + 12, -3*c - 5 - 10 = 0. Suppose -2 = 3*a + 2*q, 2*a + h*a - 5*q = 28. Suppose -a*u + 5 = -3. Solve -u = -p - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046299 is divided by 1038.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -99?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5, 0.5 in descending order.\nAnswer: 0.5, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naaogogaga. What is prob of picking 1 o, 2 g, and 1 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118471 is divided by 23694.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8 - (12 + (-287975)\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**5 + 13774502*p**2 - 1262879843*p?\nAnswer: -60*p**3 + 27549004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - 9c28?\nAnswer: -9ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2. Let s(t) be the third derivative of 0*t + 0 - 1\/20*t**5 + 0*t**4 - 7*t**2 + 0*t**3. What is y(s(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 8*a**2 + 4*a + 9. Let r be b(7). Let n = r + 8. List the prime factors of (n\/(-10))\/(1\/70).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 61765*i**4 + 4705645*i**3 + 874430*i**2 + 3800*i = 0. Calculate i.\nAnswer: -76, -2\/11, -5\/1123, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 79814*y\/3 - 14275648.\nAnswer: -2*(y - 39363)*(y - 544)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(417*r**3 + 322*r**3 + 251*r**3)*(-2 + 3 + 3) to k*r**2 + o*r + g + d*r**3 and give d.\nAnswer: 3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q + 107. Calculate c(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/36)\/((-6)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53139 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 210331 (base 7) in base 6?\nAnswer: 435304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 2, 4 in increasing order.\nAnswer: -0.3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 greater than 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286.1 + 286. Sort 3\/8, b, -2, 2\/7 in descending order.\nAnswer: 3\/8, 2\/7, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19*p + 38. Calculate u(-7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5, -1, -7, 7, -751 in ascending order.\nAnswer: -751, -7, -5, -3, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481585 to the power of 1\/2, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = z - 2*z. Suppose -5*o + z = -0. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 29*i**2 - 30*i - 48. Let u be q(-28). Let w be (-6)\/u + (-648)\/32. Sort -5, w, -3, 0 in descending order.\nAnswer: 0, -3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30995440 and 1549772?\nAnswer: 30995440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087084773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4899 - 4896. Solve 9*x = 5*x - s*v + 27, x = -v + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*f - 10597 - 20885, 3*d + 2*f - 31464 = 0. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001034784676 rounded to seven dps?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -3598.67.\nAnswer: 7197.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -22400 (c) 1479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 14. Let r = t + 13\/2. Which is smaller: r or -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 74*y - 495. Let i(v) = 45*v - 247. Give 5*i(b) - 3*s(b).\nAnswer: 3*b + 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23454, -23431, -23384, -23307, -23194, -23039?\n\"Answer: n**3 + 6*n**2 - 2*n - 23459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b - 105*b + 24 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 44913 = l. Let u = 8971 + l. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u + 12. Suppose x + 4*r = u, -x + r + 53 = x. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*j + 26 = 0, -11*z = -7*z + 4*j - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1 - (2 - (3 - -3)). Are l and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164.6 + -164.7637. Let o = 0.15 + y. What is o rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3248 < 24883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 32*y**2 + 1. Let n be w(1). Suppose 27 = -4*r - 3*j, -r - 5*j = 4*r + 35. Let g = r + n. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-522)\/(-5) - (-4)\/(-10). Let l = -982 - -995. What is the highest common factor of o and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 158\/(-20) + -1 + 2 and (-21)\/(-2)*18\/12*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -118, 0.3, 1\/4, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 182 - 651. Let p = h + -50. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 15*i**2 + i**2 - i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -8, -4 in descending order.\nAnswer: 2, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289667 and 994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 219012520 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110010111000001110 + 0?\nAnswer: -10111110010111000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswdsssdsdd. What is prob of sequence wds?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 2*d**3\/3 - d**2 - 5. Factor q(u).\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*u - 9 = -24*u + 3*y - 357, -2*u - 3*y = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15609.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 41, 65, 89?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25.82 times 1.23642\nAnswer: -31.9243644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2020 divide 71224759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 17, 19, 21, 23, 25?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/13 + 2977548*y\/13 + 1108224011538\/13 = 0. Calculate y.\nAnswer: -744387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/((-91)\/(36036\/1672))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4703 (base 9) in base 5?\nAnswer: 102421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s + 4. Let p(a) = -a + 1. Let d(u) = 5*p(u) - x(u). Let o be d(1). Suppose -w - 1 + o = 0. Calculate the remainder when 30 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(52*b - 2*b**4 + 12*b**4 - 8*b**4 + (-2*b**3 + 0 + 0)*(-b - 4*b + 4*b)).\nAnswer: -12*b**4 - 156*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 285*b + 22. Is y(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224672617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u - 461 = -4*g, -416 = -4*g + 4*u. Let i = g - 109. Solve 2*s - 3 - 3 = i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8055, 16116, 24175, 32232, 40287, 48340, 56391?\nAnswer: 64440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-9)\/(-18)). Solve -t*m = -4*r - 13, 0 = -3*r + 5*r + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + 12*q**2 + 7*q - 7. Let t(f) = f**3 - f**2. Let x(d) = -5*t(d) - v(d). List the prime factors of x(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 2*g - 12. Let y be 2\/8 - 22\/(-8). Suppose -y*b = -0*b - 3*p - 27, -50 = -4*b - 3*p. What is the remainder when f(2) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2486*u + 2496*u = 5350. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 + 21917*m - 21916*m + 53 - m**2 + 2*m**3 in the form q + h*m**3 + y*m + b*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whrtcxr. Give prob of sequence hrt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h + h)*(23 - 34 + 20 + (5 + 1 - 5)*(3 - 2 - 3) - 2 + 4 - 4 + 3 - 4 + 3 + 1 + 1 + 0) as a + i*h and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 + 2*j + 9. Let m(n) = -12*n**2 - n - 8. What is -3*h(g) - 4*m(g)?\nAnswer: 21*g**2 - 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 259849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*o + 21 = 0. Calculate the greatest common factor of 21 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -20*h**3 - h**2 + 4*h + 4. Is 38 a factor of x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*h - 11, -86*h + 84*h + 4 = 0. Which is bigger: -42\/145 or p?\nAnswer: -42\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -315750 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*q**5 - 422*q?\nAnswer: 5220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let z(k) = 57*k**2 + 123*k + 2. What is -d(p) + z(p)?\nAnswer: 57*p**2 + 124*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -63, -147, -265, -417, -603, -823?\n\"Answer: -17*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1022859 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 + 334*a**3 + 338*a**2 - 334*a - 336 = 0 for a.\nAnswer: -1, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/31814401 and -107\/10.\nAnswer: 318144010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + 0 + 9\/(-1). Suppose -6*h + 11*h = -10, v*z - 5*h = 10. Factor z*l - 1\/3*l**2 + 1\/3*l**4 + 0 + 0*l**3.\nAnswer: l**2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 15*l - 12 = 0. Suppose 0 = 4*n - 4*u - 752, l*u - 97 = -n + 79. Calculate the remainder when n is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1872 and 1107?\nAnswer: 230256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)\/((-8)\/(-88)). Is m < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((256\/(-16))\/16)\/((-22)\/242)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66755680.\nAnswer: 2, 5, 29, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x + 88*x - 177*x + 45*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 35. Let v(x) = 2*x**2 - 8*x - 2. Give v(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/120 + n**5\/60 + n**4\/24 - n**3\/6 + 71*n**2 + 2*n. Let c(l) = l**3 + 3*l**2 + 4*l - 4. What is -c(x) + 3*p(x)?\nAnswer: 2*x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = 2. Suppose -3*b - 1 + 23 = -4*k, -b + x = -2*k. Is (b\/(-9))\/((-2)\/381) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -13*h + 90 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(15\/5)*38\/(-152).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) - sqrt(28)\/sqrt(7)*-5).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1564*h + 53182. What is n(34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let g be h(-1). Let m be 20*(-3)\/((-12)\/g). Suppose 5*a - 130 - 20 = -m*d, -53 = -2*a + 5*d. Solve -3*z = 2*r + a - 12, 5*z + 15 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200000 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbbobb. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -326565 (base 7) to base 4\nAnswer: -32003211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12943\/12 + 2469\/4. Let y be (-6)\/(-10) - (-4534)\/10. Let m = n + y. Is 0 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 5*d)*(194 + 267 + 115) - 7*d + 3 - 3.\nAnswer: 569*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cac5b68 + 5?\nAnswer: -cac5b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 4. Find the first derivative of -2*t - j + 3*t - 2*t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -61565*p + 61562*p + 53, -4*w + 43 = 3*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 17399 (b) 2\/11 (c) 7 (d) -0.02 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/((68\/51*9\/(-4))\/(6\/(-4))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4.1 (b) -3 (c) -0.5 (d) -5 (e) -5899 (f) -6 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -21 - (-90 - -110).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791.3453 rounded to the nearest 10?\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(0 + sqrt(11)) + 1 + sqrt(176) - ((-1*sqrt(121) - sqrt(121))*-6)\/(-2*sqrt(99)).\nAnswer: 6 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187635314?\nAnswer: 2, 93817657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919670 is divided by 114662.\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 316.9 and -0.1.\nAnswer: -31.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 66*r + 363.\nAnswer: 3*(r + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 68 - 11*q)*(-5 - 1 + 4)*(1 + q - 1)*(5 - 3 - 3) to the form w*q**2 + u + h*q and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(3 + (-3 - -2)). Solve 0 = -5*n - s*b + 2, -6*b + 2*b + 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.408603108 rounded to 3 decimal places?\nAnswer: -3.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -9508e26?\nAnswer: -9508e22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 15*b + 11. Let c = -21 - -29. Let z be f(c). Let n(u) = 9*u - 4. What is n(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131042400 to the nearest 1000000.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/19 + 5500*y**2\/19 + 4253954*y\/19 + 628162944\/19.\nAnswer: 2*(y + 192)*(y + 1279)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6 + 1 + 0 - 6*t**2 + t**3 - 5*t + 3*t. What is the tens digit of i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 4:14 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65) + (sqrt(65) - 3*sqrt(65))))\/sqrt(5).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 231c349 - 5?\nAnswer: 231c344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/7, -13, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-10))\/(2\/10). List the prime factors of a - 6*4\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:46 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*j - 31. Let u = j - -22. Suppose 2*p = u*h + 46, 0*h = 5*p - 2*h - 127. Solve 3*s + 2*o - 8 = 4*s, s - p = -5*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*i**2 + 49*i**2 + 48*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13775*w - 12533*w + 27956*w)*(-4 + 5 - 2) + w + 5*w + 0*w to x + u*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*z - 483*z + 5185 = 285*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x**2 + 3*x - 3*x + 2 to t + r*x + l*x**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 16*v - 13*v - 5 + 3*v - v**2. Let g(k) = -k**3 - 3*k**2 - k + 3. Let i be g(-3). Let o = -2 + i. Calculate m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1243, -1243, -1245, -1249, -1255?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2. Let h(s) = -3*s - 5. Let p(f) = 3*h(f) + 5*r(f). Let k(x) = 4*x + 2. Suppose -4 = -3*l + 2. Calculate l*p(a) + 5*k(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*2 + 1. Let n(j) = j**3 - 3*j**2 - 19*j - 1. Let g be n(-3). Suppose d - 8 = -c, d - 27 = -4*c - g*d. Solve -s + f*s = -c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10382 + -86952. Let m = -47334 - o. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.1 - 63. What is the closest to 1\/3 in 2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**5*w\/(w*w*w**(-3))*(w\/w**9*w)\/((w**(-1\/5)*w)\/w) assuming w is positive.\nAnswer: w**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28721213*l**2. Let q(a) = -2*a. Determine q(i(m)).\nAnswer: -57442426*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161941 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1*1 - ((sqrt(275)*-2 + 1)**2 - sqrt(275))) + (3*(sqrt(275) - (0 + sqrt(275))) - (sqrt(275) + sqrt(275) + -1)*-6)**2)*2.\nAnswer: -1380*sqrt(11) + 77070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (7 - -10 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = -y - 134, -u - 4*y = -70. What is the remainder when 60 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*c + 55. Let f(b) = -4 + 11*b - 22*b + c*b. Let o(n) = -n. Let j(y) = -f(y) + 2*o(y). Differentiate j(x) wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3060 divided by 68.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccapcicpiccpp. Give prob of sequence acpp.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6856 + -6506. What is the greatest common divisor of 2310 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 15. Let k(z) = -10*z. What is k(s(w))?\nAnswer: 20*w + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2210, 4906, 7676, 10526, 13462, 16490?\n\"Answer: q**3 + 31*q**2 + 2596*q - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95803\/306 or -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/240*(-162)\/(-12) and -29\/9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - s + 8*s**4 - s**3 - 2*s**2 + 11*s**3 - 7*s**3 + 2 to m*s + w*s**2 + q*s**4 + p*s**3 + d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -41. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4894999?\nAnswer: 4894999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1591 = -x, 1595 = 6*f - 2*f + 3*x. List the prime factors of f.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15063134 and 15063099 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 366874288 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*u = 7*u - 43, 4*u = -4*d + 36 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ffofffoffnnoonfo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 + 525 - 525.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/7 - 646*c**2 = 0?\nAnswer: 0, 2261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560260 and 15319720.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.66021 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 165 or 6488?\nAnswer: 6488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6341401.\nAnswer: 11, 29, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i - y - 12, -i + y = -7. Solve i*o - 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 21 = 3*w, 2*j + 3*w - 9 = j. Let u be 88\/(-128) + 2 - 2. Let x = u + 31\/16. What is the closest to -0.2 in -1, j, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 - 1\/2*b**4 + 22*b - 1\/20*b**5 - 1\/6*b**3 - 5\/2*b**2. Calculate w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155761 is divided by 155606.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {t: 1, l: 3, s: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.5 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-22)*8\/(-6). Solve -4*f + 5*v + 21 = 0, k*f + 0*v - 13 = 3*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*i - 2. Solve -i*u + 1 = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 8*k**2 + 29*k - 20. Give m(10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2597895674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -86. Calculate the highest common divisor of w and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, -4, -2\/917, 0.09, 1.8, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -890 + 2290. Suppose -11*z - 3*z = -k. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83475.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 606?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -19, 0 in ascending order.\nAnswer: -19, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1005545?\nAnswer: 1005542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g**2 + 17*g**2 + 12*g**2)*(g**2 - 4*g**2 + g**2) + 0*g**4 - g**4 - g**4 as k*g + m*g**2 + c*g**4 + a*g**3 + o and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131701 + -131701.100013. Let s = 0.1 + o. What is s rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**4 - 2*x**3*y - 91*x*y + 38*y - 6 with respect to x.\nAnswer: 8*x**3 - 6*x**2*y - 91*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 229. Calculate the remainder when m is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3976 + 3984. Solve i - 3 = 2*m - q, -11 = -3*m + 5*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y - 12. Let l be q(11). Let r = 180 - l. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**2\/8 + 71*j\/8 + 8.\nAnswer: (j + 1)*(7*j + 64)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -127*f + 18. Is v(-2) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22210070, 44420134, 66630198?\n\"Answer: 22210064*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1372, -2744, -4116, -5488?\n\"Answer: -1372*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 - 6*q + 6. Let y(w) = w**2 - w + 1. Suppose 29 = 4*a - 5*f, 2*f = -5 - 5. Determine a*p(n) - 6*y(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20083409.\nAnswer: 17, 239, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 90, 122, 154, 186, 218?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8180 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 10\/20*(-13)\/(338\/3068)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7276 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:00 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356760422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81 - (46 - -11) - (-1 - -7)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64563 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 3576.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -201635434 divided by -100717\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 12*v**2 - 5*v + 57. List the prime factors of m(14).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1501208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217125080 to the nearest integer?\nAnswer: 14735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:35 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.2, 4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31696, 63401, 95130, 126895, 158708, 190581, 222526, 254555?\nAnswer: 286680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 43. Let a be 67\/(-3) + (-7)\/j. Let w = -5 - a. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-7)*2\/1. Suppose a*l + 134 + 208 = 0. What is the tens digit of (-1332)\/(-19) + 18\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8597.755kg in nanograms?\nAnswer: 8597755000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 2 = -20. Suppose b*w - 12 = -3*w. Suppose -2*j = w*q - 648, -2*q - 170 = -j + 139. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11595546a + 3?\nAnswer: 115955472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33349*i**3 - 11113*i**3 - 11116*i**3 - 11116*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 16028172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38280237 by -64121.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 19*r**2 - 54221*r + 540307. Calculate j(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2) - (0 + 3). Let y be (42\/2)\/(m\/(-8)). Suppose -5*u = -4*s - y - 13, 5*s = -5*u + 5. Solve 0 = u*k - 3*t - 0 + 6, -k - 2 = -t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2773 >= 73127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {b: 2, o: 7, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -32 - (-4 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51\/2 + 25. Suppose 29*c - 2*a = 33*c - 112, 32 = 4*a. Is t at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1922, -1916, -1910, -1904, -1898, -1892?\n\"Answer: 6*x - 1928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-10 - (26 + -31)) + (1 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20007\/78*5\/15*(48\/(-18))\/2?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 191*q - 3*q**2 + 199*q - 467*q + (12*q - 12*q + 15*q)*(-q + q - 3*q).\nAnswer: -48*q**2 - 77*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 580.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528968 is divided by 6373.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1) + (1 - -1). Suppose -2*s + 0*s = -q. Suppose -c = -s*c + 36. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -1*(sqrt(77)*-2 - sqrt(77)))\/((sqrt(7) - (sqrt(7) - sqrt(7)*2))*-3 - sqrt(7)))**2.\nAnswer: 44\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 43 = 146*c - 151*c, 6*t = 5*c - 61 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from jgagdgddjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64461 to 2 dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h + 0*h**3 + 0*h**2 + 3\/4*h**4 + 1\/2*h**6 + 6\/5*h**5 + 4. Factor l(q).\nAnswer: 3*q**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25955498, 51910997, 77866496, 103821995?\nAnswer: 129777494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.431829308 rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19170 and 540?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d01e (base 15) in base 2?\nAnswer: 1010101110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*(11 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298567369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03299845 + -0.033. Round o to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 times -0.3?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*p**4 + 3*p**3 + 89*p**2 wrt p?\nAnswer: 336*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 + -176. Suppose w = 6*w - 2*i - 13, -4*w - i = 0. Let x = n + w. What is the least common multiple of x and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56102166 is divided by 10311?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88217e (base 16) in base 7?\nAnswer: -135555055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 117*z + 26. Let x be r(4). Let t = x - 494. What is the nearest to t in 47, -0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9655792 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/7 of a week in hours?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scm when three letters picked without replacement from bcjcmmsv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -152149, -304300, -456453, -608608, -760765, -912924?\n\"Answer: -i**2 - 152148*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 2605 = -13*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 35*c**2 + 3*c**2 as g*c + o + t*c**2 and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25849\/1014 - 4\/507. Let n be (-914)\/2110 + 2\/(-8). Let h = n - -7\/211. Calculate the common denominator of h and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 72. Calculate the greatest common divisor of 78 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 3. Let u(t) = 3*t - 3. Let s(y) = 2*y - 2. Let d(a) = -5*s(a) + 4*u(a). Determine 7*d(b) - 4*g(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide (4 - 6)\/(8\/(-6596))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*k - 21, -255*m + 253*m + 18 = -4*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3808151 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5783 + 4*x**2 - x - 2887 - 2896.\nAnswer: 4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 10. Let k = -29 - u. Let w be (-68)\/18 - k\/(-99). Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Suppose -5*m - 15 = 0, 2*o + o = -2*m. Let h(b) = b. Give o*t(p) + 2*h(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.434591 - -5.45?\nAnswer: 5.015409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/12 + 25*r**2 - 2*r. Let u be n(0). Suppose -2*l + u + 8 = 0. Calculate the remainder when l is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997*p**3 - 2307*p**3 + 1211*p**3.\nAnswer: -99*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 24. Is (-60)\/o*7\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9802 + -1274267\/130. Calculate the common denominator of g and -123\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 + 160*q + 0*q**3 - 20\/3*q**4 + 0*q**2 - 181\/20*q**5. Find the third derivative of c(v) wrt v.\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 81. Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**4\/9 - 23*l**3\/9 - 37*l**2\/3 - 125*l\/9 - 44\/9.\nAnswer: (l + 1)**3*(7*l - 44)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234395669?\nAnswer: 3, 13, 31651171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84596 is divided by 21143.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500867417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353395 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -3*t**5\/10 - t**4\/6 + t**3\/6 + t**2 + 2*t + 11. Let n be o(3). Let i = n + 478. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66202412 (base 7) to base 13.\nAnswer: 123c137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000098827 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -130 * 908\nAnswer: -118040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 b, and 1 l when four letters picked without replacement from {c: 3, l: 5, x: 1, s: 2, b: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -332.0000219 - -332. Round a to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6851568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -v - 1, 11 + 0 = -2*v - 5*k. Suppose 3*m = -0*m - 4*w + 16, -2*m + 3*w - 12 = 0. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**7\/3 + 2*g**4\/3 + 16*g. Find the third derivative of a(u) wrt u.\nAnswer: 840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**3 + 9*p. Let n(y) = -5*y**3 - 8*y. Let h be 0\/(1 + -2) - -6. Let i(g) = h*n(g) + 5*w(g). What is the second derivative of i(v) wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*v = 5*l - 236, 2*l = v + 118. Suppose l*z - 26*z - 36960 = 0. Calculate the greatest common factor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n)*((4 - 3 - 3)*(1 - 2 - 1) - 272 - 127 - 288).\nAnswer: 1366*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c*o**3*t - 5*c*o**3 + c*o**2 + 2*o**2*t + t - 2 wrt o?\nAnswer: 66*c*t - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.2 (c) 2\/73 (d) -7\/9 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766 divided by -9314.\nAnswer: 383\/4657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2667, -2656, -2645?\nAnswer: -2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 3*o - 1279636 = 0, 0 = -4*y - 16*o + 11*o + 255892. What is y rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*n**2 - 3)*(-93 + 171 + 15 + 346) to the form m*n + x*n**2 + h and give x.\nAnswer: 1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/5)\/(-1)*-10. Let q = 12 + -5. What is the remainder when 44\/s*(-45)\/(-18) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2 - 6 - 5*h - 1777*h**2 + 1772*h**2. Let g be m(-3). Is g less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.3 (c) -328295 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113638431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15, k - 3*s = -0*s - 217. Let v be (-10)\/(-45) - k\/36. Let q be 3\/(-9) + 116\/v. Which is bigger: 18 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 519 - 510. Suppose -f*v + 816 - 276 = 0. Calculate the lowest common multiple of v and 190.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(425) + 1)**2 + 2 + sqrt(1700) + (sqrt(1700)*-3 + sqrt(1700))**2.\nAnswer: 20*sqrt(17) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Which is bigger: 2\/29 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4244.5+-378.6427\nAnswer: 3865.8573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1232 + -3?\nAnswer: 122a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {x: 1, k: 1, z: 4, f: 1, m: 2, p: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 756\/63 + -4 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 10. Let q(w) = -1380*w**2. What is a(q(r))?\nAnswer: -3808800*r**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 8*j**2 + 3*j**2 to the form b + f*j**2 + v*j and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 8 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -1813*f**6\/6 + 2*f**5\/5 + 2*f**3\/3 - 880*f + 7214. Find the third derivative of g(p) wrt p.\nAnswer: -108780*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15430958?\nAnswer: 2, 29, 266051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wss when three letters picked without replacement from {s: 6, w: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 5. Let x(l) = -2*l + 6. Give -7*f(n) - 6*x(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 1800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 + 8*k - 1. Let l be m(-3). Calculate the greatest common factor of 4 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*g**2 + 845000\/11 + 2600\/11*g = 0. Calculate g.\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 9*h - 8. Let r be x(10). Suppose 0 = r*y + 3*y + 10. Is (y\/6)\/(5\/(-105)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3569123?\nAnswer: -356912.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Suppose -a + 5*a = -20. Let o be t(a). Suppose -3*g + 5*d + 17 = 0, -4*g - 5*d - 28 = -39. Solve l = -w, w + o*l = g*w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208 and 0.2?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1652220 and 1\/30.\nAnswer: 1652220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -128.7?\nAnswer: -257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559812 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29389, -58842, -88295, -117748, -147201, -176654?\n\"Answer: -29453*s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 66777, 79?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:09 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 32*g**2 - 46*g - 424. Let q be l(-33). Let a(h) = -h**3 + 9*h**2 - 6*h - 6. Let i be a(8). Solve -3*o + 10 = q*j, -o - 4*o - i = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - -12 - (-73 + 32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-206908093)\/(-259) + 70\/1295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**3 + 9650820*k**2 + 4656906682785*k - 9313851968890 = 0.\nAnswer: -965083, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45563 and 805.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 9. Let o be f(3). Suppose -b = y - 3120005, 0*b = -3*b + o. What is y rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 4. Let t = 0 + -5. Is 9 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2860*g + 33910. What is h(-12)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32591, -32803, -33015, -33227?\nAnswer: -33439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1 + 3)*-3. Let s(x) = 0*x**2 - 122*x - 84*x + 295*x + x**2 + 1 - 88*x. Let d(c) = -c**3 + 3*c**2 + 3*c + 3. Determine f*s(q) + d(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 + 7*l + 1. Suppose 2*x + 2*j + 36 = 0, 0*x = -2*x - 5*j - 51. Let n(m) = 11*m**3 - 15*m - 2. Calculate x*t(p) - 6*n(p).\nAnswer: -p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffdadwwfddd. What is prob of picking 1 a and 1 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + 43b?\nAnswer: 42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y + 6. Let i be j(-5). Let a = -5 + i. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4731.55985 rounded to 0 dps?\nAnswer: -4732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24634\/(-30) - (-9 - (-798)\/90). Put 3, -5, a, -2 in ascending order.\nAnswer: a, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*n + 3906 = -201*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6932945 kilometers?\nAnswer: 693294.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 855 + -850 - (80 + 3 - (2 + -3))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7930622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q + 76 = 3331. Let s = q - 101. Solve s*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -5*z**4\/4 + 3*z. Let c(m) = -28*m**2 - 22. Let v(i) = 5*i**2 + 4. Let s(t) = 6*c(t) + 33*v(t). What is s(p(f))?\nAnswer: -675*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/32))\/(l\/l**(-2)))\/(l**(-19))**(-45) assuming l is positive.\nAnswer: l**(-27423\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18528 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*c - 276 = -1380, -3*t + 664 = 4*c. Suppose 0 = -5*h + 20 + t. Suppose h = -5*s + 7*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15707*f - 16. Let c(k) = 61665681*k - 62812. Give 4*c(a) - 15703*u(a).\nAnswer: 15703*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34019\/782 - 1\/391. Let v(i) = -38*i**2 - 2*i - 3. Let s be v(5). Let u = -5825\/6 - s. Find the common denominator of f and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 37113626.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m - 3. Let g = -9 + 3. List the prime factors of x(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 232 (b) -0.4 (c) 10\/39 (d) -4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o + 6. Let f = o + 10. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0278\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 34 = -7*j. Which is the closest to -2? (a) -15 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**3)\/j**(4\/5))\/(j*j**0*j)**(-35))\/(j*(j**(1\/3)*j)\/j*j**(-5))**(-7) assuming j is positive.\nAnswer: j**(623\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l. Let k(x) be the second derivative of -5*x**3\/6 + 35*x**2\/2 - 194*x. Determine o(k(q)).\nAnswer: -45*q + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5 + (3 - 5 + 1)*(1 + 0 + 1) + (-6 + 1 + 1)*(-1 + 3 + 0))*(2 - g - 2) in the form z + i*g and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 94783.\nAnswer: 7\/94783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 + 495*r + 263. Calculate u(-82).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -12.2, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 239855658049\nAnswer: -239855658048.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*n - 172 = -273*g + 272*g, 8*n = 3*g + 324 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*h**6 + 15*a**2*h**3 + 236*a**2*h**2 + a*h**3 wrt h.\nAnswer: -120*a**2*h**3 + 90*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 + 9*u - 7. What is the units digit of b(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/5 and -9\/252913444.\nAnswer: 1264567220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 20\/(-6). Suppose -4*h = 5*k - 22, 3*k - 3*h + h = 0. What is the least common multiple of 67\/y + 6\/(-18) and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:43 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -110*d - 33. Let o be c(-6). What is the second derivative of -1251 - 13*u + o + 624 - 8*u**4 + 4*u**3 wrt u?\nAnswer: -96*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:06 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -57 + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -12363107\nAnswer: 5\/12363107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -1, -2.\nAnswer: -19, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -3. Suppose 0 = 60*y + 24 - 24. What is the third smallest value in k, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 188 in -1, -0.96, 0.5, 7, 1\/3, -1.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 167 + 1?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 62. Suppose 3*p + 8 = 5*p. Suppose b*i = -p*i + 378. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 180*r - 115. Calculate the remainder when v(-32) is divided by 90.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 3*o)*(-2 + 5 - 1) + 3 - 5*o - 3.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (135\/(-6))\/3*(-284)\/355. Calculate the highest common divisor of b and 510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, 1\/2, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and -2077.2.\nAnswer: -2077.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/6 - 15*s**2\/2 + 49*s. Let m(g) be the third derivative of -g**5\/15 + 3*g**2 + 27*g. Determine w(m(d)).\nAnswer: -32*d**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - -7) + 30 + 107.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10444 - 6893. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iigg when four letters picked without replacement from {i: 3, g: 2, h: 1, r: 4, l: 6}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -t + 8, -5*m - 5*t - 38 = -8*m. Suppose m*x = x - 10. Which is smaller: x or -4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/3)\/(-125))\/((-291)\/225525).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 + b**4\/4 + 2*b**3\/3 - 26*b**2 + 2*b. Let l = -33 - -31. Let n be h(l). Solve -t = -n*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 296*b**3 - 11*b - 11. Let n(m) = 59*m**3 - 2*m - 2. Give 11*n(j) - 2*u(j).\nAnswer: 57*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 23420.1 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 1. Let i(l) = 3. Let c(q) = -2. Let h(t) = 5*c(t) + 3*i(t). Calculate 2*h(a) + r(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yugmggzggggygggyyu. Give prob of picking 1 g and 1 u.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 4, -314.64, 74?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354163140.\nAnswer: 2, 3, 5, 163, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(3\/2)\/(d**0)**(-47\/3))**43 assuming d is positive.\nAnswer: d**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 17*s**2 - 18*s + 2. Let c be r(18). Suppose 3 = -3*v + c*g, 2*v + 3*g - 4*g + 2 = 0. Let k be 14*(0 + v\/(-2)). Is 9 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p - 4*p**2 - 8*p + p**2 + p**2 in the form a + d*p + w*p**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 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: Solve r = 28*r + 135 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4144 and 2464.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99150511 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1215 and 1048149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 389078*x - 54899760 = 0.\nAnswer: -141, 194680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90645686 to the nearest integer?\nAnswer: 9521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 629442*c**2 - 1265261*c wrt c?\nAnswer: 1258884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 89 - 45 = 4*v, -136 = 4*v - 4*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 3*a - 30 + 32. Give h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 342, 3, 4, 11, 2\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -41. Let h = 36 + i. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 8*o**2 + 8*o + 12. Let k be q(9). Suppose k*l = -5 - 10. What is the nearest to 2 in -0.4, l, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1168*j + 387. What is the thousands digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -5 - 4)*(-3)\/3. Suppose -d = 7*m - 29. Solve 3*n = 4*n - m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 - 7549\/20. Find the common denominator of -13\/170 and h.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 2182?\nAnswer: 28366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 - ((-7630)\/(-9975) + 3\/(-5))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-5)\/20)\/(3\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 217.7. Let j = -14.1 - z. Which is the nearest to -2? (a) 1\/16 (b) j (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 56 = 6077*t - 6081*t, 4*s = 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 23255?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -171*i - 7. Let c(z) = -341*z - 22. Calculate -5*a(g) + 2*c(g).\nAnswer: 173*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 232 - 83 = 0. Suppose -58*z + j*z = -l, 12 = 3*l + 3*z. Let b(q) = 21*q - 5. Let k(x) = -52*x + 12. Determine l*k(t) + 12*b(t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxkyyyxxkxx. Give prob of sequence ky.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -14, 3, 4, 1.\nAnswer: -14, 1, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 - 0.17. Let y = n + -2.07. What is the second biggest value in 0.05, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.9 + -6.9. Let s = 52 - q. Let k = -0.241 + -0.059. Is s greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 3*g. Let t = -277.27 + 26.47. Let y = 251 + t. Sort y, -1, g.\nAnswer: -1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/2)*r**3)\/(((r*r\/r**(-5\/2))\/r)\/r**6)*(r**(-2\/5))**(-40)\/(r*r\/(((r*r**2*r)\/r)\/r)*r*r*r**(-1)) assuming r is positive.\nAnswer: r**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4429, -8166, -11347, -13966, -16017, -17494?\n\"Answer: s**3 + 272*s**2 - 4560*s - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -5, -0.1, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 27 = 13*t. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (-4 - (-1 + (-8 - -14))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.388 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 38, 69, 108, 155?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 400*q + 798. What is t(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3\/8))\/k)\/k**(-1\/32))\/(k**(-1)\/k)**(-4) assuming k is positive.\nAnswer: k**(-267\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8045281 is divided by 96931?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 15*p. Let m(k) be the first derivative of 2\/3*k**3 + 0*k**2 - 23 + 0*k. Give y(m(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.534241 rounded to three decimal places?\nAnswer: 0.534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**3 - 23*q**3 - 37*q**3.\nAnswer: -47*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42994 divided by -2?\nAnswer: 21497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(2\/(-21)). Suppose 3*z + p = 16. Suppose 0 = -4*u - z*r - 13, -2*r - 2 = -6*u + 2*u. What is the third biggest value in -2, 1, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*b + 3*d, -14*b - 9350 + 9372 = -4*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:42 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-5)\/(-6) - 1). Let d(k) = -3*k - 4. Let l be d(w). Solve -l*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 9. Let x(q) = q + 4. Suppose -55 = -0*f + 5*f. Let w(y) = f*x(y) + 6*i(y). What is the units digit of w(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -38\/39, 0.11, 15?\nAnswer: -38\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - (-10 + -8 + (34 - 43) + 25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t + (0*t - t - t)*(3 + 0 - 1))*(-2*t**2 + 0*t**2 + 3*t**2).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)\/d**(3\/2)*(d*d\/(d*d\/(((d\/d**(-7))\/d)\/d)*d))**(-10\/9) assuming d is positive.\nAnswer: d**(-109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6766 - 6729. Solve -5*f + n = -3*p, -2*f - 14*p + 26 = -18*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1488*m - 13. Is y(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*(-9 + -3). Let x be -7*4*21\/t. Suppose -i + 90 = 4*j, -4*j + 2*i + i = -x. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 14*q - 14. Let y(i) = -i**2 - 5*i + 5. Let g be (-532)\/(-6) - (32\/12 + -3). Let v = g - 103. Give v*y(k) - 5*r(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:26 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -701, -701, -717, -755, -821, -921, -1061?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -6 + 2\/(-1). Let v be 302 + f\/((-3)\/(-6)). 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: Find the common denominator of -83\/16632 and -83\/700623.\nAnswer: 5604984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 0.06, -13, 8, -5, 16.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 + -4. Let b be (-9)\/7*(-8)\/(-24). What is the biggest value in u, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 8, 14, 22, 32, 44, 58?\n\"Answer: n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 32*t - 66. Let o(s) = 6*s - 13. Let w(k) = 11*o(k) - 2*q(k). Give w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9113, 17338, 25559, 33776?\n\"Answer: -2*c**2 + 8231*c + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -322, -221, -14, 335, 862, 1603, 2594?\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(3 - 3 - 2*r) + 2 + r - 2 to the form b + f*r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w + 66*w - 1650719. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 + 5 - (6 + -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*s + 2*c + 38, 3*s + 54 = 5*c. Let u be 2\/s*99\/(-33). Solve -u*i**2 + 14\/13*i - 4\/13 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1856*n**3 - 2*n**2 + 5*n + 531. Let r(k) = 928*k**3 - k**2 + 2*k + 265. Let d(v) = -2*m(v) + 5*r(v). Find the third derivative of d(f) wrt f.\nAnswer: 5568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1009 and -2.4?\nAnswer: -2421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -2, 4\/9, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335 and 640.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2. Let o(s) be the first derivative of 623*s**3\/3 + 4922. Calculate f(o(g)).\nAnswer: 1164387*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 12 = 0. Suppose 0 = 4*o - y*j - 20 - 16, 4*o + 2*j - 16 = 0. Let u be o*1*(-200000)\/15. Round u to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 t when four letters picked without replacement from tttttrrrtr.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -20638?\nAnswer: -20638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1184050226 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*b**3*t**3 + 346*b**3*t**2*v + 42*b*t**3 + 33*t**3*v wrt v.\nAnswer: 346*b**3*t**2 + 33*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 7*i - 7. Let k be (-56)\/(-12) + 4\/(-6). Let x(v) = 4*v**2 - v**2 + 0 - 4*v + k. Give 7*x(h) + 4*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 11 = -3*q, -5*q - 3 - 2 = 0. Let t = 7 + x. Solve a + t - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 at most -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*d = 337*d - 42 - 18 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 11442.\nAnswer: 45768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -29. Suppose a = -4*p + 5*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1208111.9 - -1208111. Let i be (-1 - -3)*(-1)\/(-2). Suppose 5*z - 16 + i = 0, -2*b + 7 = 3*z. Which is greater: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5 + 165*h**4 - 729*h**3 - 11901*h**2 + 8790*h + 156600 = 0.\nAnswer: -58, -5, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110101 (base 2) to base 13.\nAnswer: -2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1872*h - 527. Is n(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/(13580\/(-63050))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 23 - (71 + 26)) + (3 - -19).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738550652 to the power of 1\/2, to the nearest integer?\nAnswer: 52331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3 (c) -1 (d) 7 (e) -9\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 719.1 and -1415062346.\nAnswer: -1415061626.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6026382296.\nAnswer: 2, 11, 68481617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/8)*g*g*g\/g**31*g*g**(-1\/24)\/(g**0*g) assuming g is positive.\nAnswer: g**(-335\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 774186*u**2 + 51102810*u + 843232302.\nAnswer: -2*(u - 387159)*(u + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 2, -0.17, -12?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/420*90*(-392)\/(-21)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 3*n**3 + n**3)*(-6*n**2 + 3*n**2 + 2*n**2).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1193.08163 to zero decimal places.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/25744 and 30\/19019989.\nAnswer: 304319824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 15\/2*v**2 + 0 + 1\/6*v**3 + 1\/20*v**5 + 5\/4*v**4 + 2*v. Let z be i(-15). Let a(n) = n + 3. Give a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -40. Let k be r\/(-18) - (-4)\/(-18). Calculate the greatest common divisor of k and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 31 = 8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 0*p + 6 - 4*p + 3*p. What is the units digit of g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(10 + -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 26 - (109 - 96)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 13103?\nAnswer: -13042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 740 (c) 5 (d) -3 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5\/2, -440, 1\/2, 0.2, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -28. Suppose -2 = -3*k + 4. Which is the third smallest value? (a) 0 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79342, -79349, -79358, -79369?\nAnswer: -79382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 - 3*w**2 + 68*w - 137. Let t be r(3). Solve t + 182 = -101*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfti when four letters picked without replacement from {i: 2, t: 4, f: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-21))\/((-1)\/9). What is the first derivative of 3*i**3 - 8 + 4 - i**s wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/48 and 49\/24 + (-31)\/31.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-3)\/(-24)*(-1050)\/420\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -152, -1, 5.\nAnswer: -152, -7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 11 - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2849 - 2848.999998319. Round m to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 40 = -5*p, -75 + 59 = -p + 5*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*k = -53*k - 3*k - 5148 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24306*y + 13*y**2 + 24019*y - 48325*y.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 - -6902) + (-3)\/(-36)*0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*j - 17*j**2 - 30*j**3 - j**4 + 36*j**3 - 5*j**3 - 4*j to the form p*j**3 + l*j**2 + i*j + f*j**4 + c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -3. Let n = -6.42 - -2.4. Let m = 0.02 + n. Which is the smallest value? (a) -2\/7 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16537 = 53*z - 83370. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 61 = -5*a, 4*a = -11 + 31. Let v = -8 + x. Suppose 0*r - 54 = -5*g + 4*r, v*g - 41 = r. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/2 of a millennium?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 - 6*m**2 + 3079*m. Let z(h) = h**3 + h**2 - h. What is k(d) + 6*z(d)?\nAnswer: d**3 + 3073*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 25*q**2 - 3*q - 78. Let u be j(-25). Let i(c) = 28224*c**2 + 4*c - 4. Let y be i(u). What is y rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 1, 3, -27 in descending order.\nAnswer: 3, 1, -2\/21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 - 8*i + 7. Let h(b) = -9*b**2 + 7*b - 6. Calculate 7*h(u) + 6*n(u).\nAnswer: -15*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) -1 (c) -0.4 (d) 2 (e) 4\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 5. Let p(a) be the second derivative of -a**4 - 21*a**2\/2 + 101*a. Determine 5*p(c) - 21*u(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m + 10*m - 74 = 0. Let n(t) = -15*t + 5. Determine n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -196, -592, -1350, -2590?\n\"Answer: -20*n**3 - n**2 - 11*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(15\/7) assuming i is positive.\nAnswer: i**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -12, 5, 1, 0, -13, 151 in increasing order.\nAnswer: -13, -12, -9, 0, 1, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:25 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(3\/15*5). Let x(c) = 5*c**3 + 11*c**2 + c - 15. Let s(k) = -k**3 - 2*k**2 + 3. Determine r*s(w) - 2*x(w).\nAnswer: w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 214351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -589*b**3 + 1 + 19*b**2 + 579*b**3 - 1 wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*p - 12, 5*p - p - 9 = -u. Suppose 2*r = 9 - u. Is r\/16 - 1686\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -5, -8, -9?\n\"Answer: n**2 - 8*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 15*n + 9*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**5\/210 + 5*i**4\/84 - 2*i**3\/7 + 4*i**2 - 15. Let j(y) be the second derivative of p(y). Factor j(n).\nAnswer: 2*(n - 1)*(n + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -158, -157, -156, -155, -154, -153?\n\"Answer: z - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 55 = -11*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*h**2*o**3 - 25*h**2*o**2 - 65*h**2 - h*o**3 + h*o**2 + 177*h*o - 1073*o**3 wrt o.\nAnswer: 354*h**2 - 6*h - 6438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 94*b - 6970. Give h(72).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 37, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/(q*q**(-15))*q)\/q*q)**48)**(-47))**(-15) assuming q is positive.\nAnswer: q**575280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 25. Let u = 34 + k. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*a + 115*a - 316*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7200 and 200?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/7, 241, -4, -29, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r + 5, 41 = 2*a + 5*r. Let g(u) = u**3 - 3*u**3 - a + u**3 - 6 + 13*u**2 - 9*u. What is the remainder when g(12) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23694\/(-150062) - (-1 - (-131)\/133))*5.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 d when four letters picked without replacement from oododoodooooddoooooo.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*c**3 + 4 - 265*c**3 + 22 + 494*c**3.\nAnswer: c**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587766 + 1175529 - 587763 - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1687357?\nAnswer: 1687363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 23. Let s be -5*(2 - (-708)\/h). Let a be s\/(-14) - 6\/(-14). Calculate the highest common factor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by -11 + (48 - 31) + (-1)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1433, -1347, -1181, -917, -537, -23, 643, 1479?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42492 divided by -10623?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/20 - 3013\/(-8). Let d = -387 + i. Let l = 833161\/49494 - 2\/8249. Find the common denominator of d and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 8*x**2 - 7*x. Let n be h(-7). Suppose d - 5 = -n*d. Suppose d*z - 3 - 32 = 0. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717150 divided by -30?\nAnswer: -23905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 4*t = -11*t - 21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*sqrt(288) - (sqrt(2) + sqrt(50) + 1 + 4).\nAnswer: -5 + 138*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87.8 - -78. Let q = 3 + y. Let b = -6.799906 - q. What is b rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -7*z + 12. Factor -14*g**2 - 21*g - 7*g**z + 18 - 6*g**3 - 6*g**2.\nAnswer: -3*(g + 2)*(g + 3)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 11*f**2 - 207*f - 4. Let t(y) = 2*y**3 + 6*y**2 - 104*y - 2. What is 4*n(g) - 7*t(g)?\nAnswer: -2*g**3 + 2*g**2 - 100*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -10.7, -14, -3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/2 + 28233*z**2\/2 + 29066736*z = 0. Calculate z.\nAnswer: -6368, -3043, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 0, -1, -0.5, -0.23, 10\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -217828872 divided by -1?\nAnswer: 217828872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -88. Is (2\/u)\/(5\/35270) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872882, -3494324, -7863400, -13980116, -21844478?\nAnswer: -31456492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 36\/11, 5, 2\/7 in decreasing order.\nAnswer: 5, 36\/11, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 6*m - 1. What is w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*t + 82454, -2*l - t = t + 54980. Let h = l + 418. Let s = 91070 + h. Round s to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i - 8*i - 16*i + 84*i**3 - 9*i - 21*i**3 - 2 wrt i?\nAnswer: 378*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/20 - 10*l**2. Let n = 3 + -1. Let q(j) = j - n*j - j. Determine q(f(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(17\/2)*(o**(-36)*o)\/(o\/(o\/(o\/o**(-6)*o))) assuming o is positive.\nAnswer: o**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 50*m + 454. Give z(-58).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7680 divided by 3?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o - 8. Let m(i) = i + 1. Suppose -3*d + 6 = -0*d. Let n be 2\/(-4) + d\/4. Let r be (-18)\/3 + 0 - n. Calculate r*m(b) - y(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 2:51 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432072 and 3060?\nAnswer: 2160360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(5 + sqrt(704) + 0))**2.\nAnswer: 2160*sqrt(11) + 19683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*s + 11, s = -9*b + 14*b - 17. Let n(g) be the second derivative of 1\/42*g**b - 3\/7*g**2 + 2\/21*g**3 + 0 + g. Let n(q) = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 812*z - 167*z + 845*z + (z - 1 + 1)*(1 + 4 - 2).\nAnswer: 1493*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4731, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, u: 3}. What is prob of picking 3 u?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 - 14300*r - 480420 = 0.\nAnswer: -2826, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 4*f**2 + 6*f - 6. Calculate v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:05 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 34*d - 30 = 5*g, -11 = -3*d - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5680 + -5602. Solve -c*d + 71*d = -28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*a - 0*a. Let x = -8 + a. Do -1 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5803? (a) -5 (b) -4 (c) -133 (d) -1\/4 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72836\/5 + 830312\/57. Calculate the common denominator of o and -149\/480.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 313 + -3?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1532101 and 107786?\nAnswer: 21449414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + (6 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-84)*3\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -17*i - 9. Let s(j) = 6*j + 4. What is 8*s(h) + 3*v(h)?\nAnswer: -3*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + 3*i**3 - i**3 - 2*i**3 + 4*i - 4*i + (-15 - 10 + 8)*(-2*i**3 + 1 - 1) as x*i**3 + a*i + y*i**2 + v and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -2. Let u(m) = m**3 - 8*m**2 + 7*m. Let c be u(z). Let i = c - -17. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 18*p + 2*j, 18*p - 9*p + 10 = -5*j + 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 3\/20*z**5 + 0 + 3\/2*z**2 - 6*z - 1\/4*z**4 - 1\/2*z**3. Factor d(k).\nAnswer: 3*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6\/7, -3, 1.2, -0.3 in decreasing order.\nAnswer: 1.2, 0, -0.3, -6\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 58267630*i + 169755835290845 = 0. Calculate i.\nAnswer: -5826763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c + -2?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*i**2 - 1121119*g**2 - 1006*g*i**2 + 4*g*i - 2*g + 3*i**2 + 9 wrt g?\nAnswer: -2*i**2 - 2242238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**8\/50400 - u**7\/12600 - u**6\/900 - u**5\/20 + u**2. Let w(p) be the third derivative of t(p). Factor w(z).\nAnswer: 2*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5011, -10085, -15159?\n\"Answer: -5074*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(40\/15)*(-11)\/(88\/(-64))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 478*o**3 - 5*o + 5. Let z(p) = p - 1. Calculate 2*m(a) + 10*z(a).\nAnswer: 956*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + -2788?\nAnswer: -2835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 g when four letters picked without replacement from mmgllelmleggmmg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppipppppkpppppppp. Give prob of picking 1 i and 3 p.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(-1\/98)\/((a**(-2)*a*a)\/(a**(1\/13)*a)) assuming a is positive.\nAnswer: a**(699\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252) + sqrt(252))\/sqrt(9))**2 + -1.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Let f = -5.421 + 5.821. Sort c, -0.4, f, 1\/4 in descending order.\nAnswer: f, 1\/4, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*u + 3*d - 9, 2*u - 8 = -4*d. Solve 6*j - 2 = -u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20579?\nAnswer: 13, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229607301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. What is the closest to 0 in 0, 1\/4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, -0.0531, -1082?\nAnswer: -0.0531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.12 (c) -1 (d) -0.165 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192) + (sqrt(192) - ((-1*sqrt(192) + -4 - sqrt(192))**2 + sqrt(192))) - (-4 + sqrt(192) + 2 + sqrt(192))) + 3.\nAnswer: 136*sqrt(3) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 385002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - r = -5*t + 20, -3*t - r = -10. Suppose 0*g + t*g = -5. Let o = -47 + 97\/2. What is the biggest value in -0.5, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/3 - 4*a**2 + 8*a - 14. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150829*u + 18 - 89 + 71.\nAnswer: 150829*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2659*l + 6 + 0 - 7 - 3*l**2 + 15558*l + 2.\nAnswer: -3*l**2 + 12899*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(19\/3)\/(n**13*n*n))\/(n**(-28)\/n)**(2\/5) assuming n is positive.\nAnswer: n**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -924953095*a*k*p + 955*a*k + a - 2735*k wrt p.\nAnswer: -924953095*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 558668.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 8*j - 39. Let c be u(9). Let q be c + (0 + 2 - -2 - 8). Let h = -83 + q. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o - 3. Let q be s(1). Suppose -q*p = 3*p - 1895. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5*z = -172 - 5, 0 = 22*c + 16*c + z - 81 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5965850.\nAnswer: 2, 5, 11, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337\/2610 + 27\/290. Let k be (-26)\/6 - (-3)\/9. Let m be k\/(-24)*6\/2. Which is the second biggest value? (a) s (b) 2\/7 (c) -4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 479445? (a) 3 (b) -5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 + 1082*b - 44092. What is r(50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/8 - 2*n**3 + 5*n**2. Let x be g(-5). Find the third derivative of a**4 + 22*a**3 - 22*a**x - 3*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {c: 2, b: 1, r: 2, u: 9}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 11.5.\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -32. Solve 2*s = s - w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 12 = 4*z - 6*d, 3*d = 4*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525 by -175.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -169, -409, -657, -919, -1201, -1509, -1849, -2227?\n\"Answer: -f**3 + 2*f**2 - 239*f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1359, -1333, -1269, -1149, -955?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + (sqrt(80) - (sqrt(80) + sqrt(80)*2)) + 1 + sqrt(5) + -1 + (-2 + sqrt(405)*2 - (sqrt(405) + (sqrt(405) - (-1 + sqrt(405) + -5)))))**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11206 + -75344?\nAnswer: -64136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*l - 94*l - 119*l)*(-3*l - 3*l + 3*l)*(3 - 2 - 3)*((3 - 2 - 2)*(5 - 3 + 0) + 2 + 4 - 5)*(-1 + 2 + 0) to n*l + r + j*l**2 and give j.\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -22. Suppose -3*f = -x*f - 172. Let k = -84 - f. Solve -2*w - k*t = 0, -2*w + 0 = 3*t + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18345 minus -9?\nAnswer: 18354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -677, -1538, -2755, -4334, -6281, -8602?\nAnswer: -11303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1093244, 2, 1.\nAnswer: 1, 2, 3, 1093244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 2\/9, 3\/7, -8\/9, -2, -8 in descending order.\nAnswer: 3\/7, 2\/9, -0.04, -8\/9, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**2 - 27*u - 4 + 5*u**2 + 8*u**2 - 25*u**2 + u**3. Let j be n(7). List the prime factors of j + -4 + (23*18)\/3.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 take away 11?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x - 13. Give o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 - 5*i - 16. Let q be y(-10). Let x = -394 - q. Calculate the highest common divisor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 389422.7342 - 389335. Let m = h + -427.7531. Let l = m + 340. Round l to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334 - 60*o + 334 to the form l*o + a and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(7\/6)*h)\/h*h*h)*h**(-3\/2))**(15\/4) assuming h is positive.\nAnswer: h**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*x - 5*x, i - 14 = -x. Suppose -9*g = -i*g. Sort g, 1, -13 in decreasing order.\nAnswer: 1, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Put -4, 4, 2, m in descending order.\nAnswer: m, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -101069, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/65 + (-34)\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -54 + 0 - (14048 - 14041).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/140 and 163\/926520.\nAnswer: 926520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 1:57 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.449199 to zero decimal places.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:40 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -45*q**2 - 1039*q - 23. Give r(-21).\nAnswer: 1951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-364)*(-28)\/(-128)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35932 * 116.\nAnswer: -4168112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y + 10 + 14 - 24 + 42*y + 9.\nAnswer: 87*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrz when three letters picked without replacement from {z: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(108) - (sqrt(108)*-1)**2*-4) + (sqrt(120) - sqrt(120)*1)\/sqrt(10)).\nAnswer: -1296 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7787*a**2 + 6324?\nAnswer: -15574*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*p - 17*p - 215 - 201. Sort p, -11\/7, 0.2 in decreasing order.\nAnswer: p, 0.2, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 36237089.\nAnswer: 181185445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 18 = -6*t. Let i = t - 5. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, w: 11}. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218993829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9567.71cm in millimeters?\nAnswer: 95677.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:18 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130*c**3\/3 - 971*c**2\/6 - 275*c\/6 - 2\/3.\nAnswer: (c - 4)*(4*c + 1)*(65*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.522532 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7031 - 7065. Which is the fourth smallest value? (a) -3 (b) o (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -58. Let d(q) = 3*q. Let t(u) = -6*u - 37. Let f be t(-5). Let m(b) = -6*b + 2. Let x(p) = f*d(p) - 3*m(p). Calculate x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + 3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 36*g - 9*g to b + p*g and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1\/2 (c) 0 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b = 150158 + 793226. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 48*w\/7 - 46\/7.\nAnswer: -2*(w - 23)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 1 (c) 3 (d) -167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18176912 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 39. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 174?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43437717 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241843783?\nAnswer: 439, 593, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:45 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240946 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*n + 4 = 0, 2*x + 3*n - 12 = -x. Let i = 55 - 50. Put x, i, -2 in descending order.\nAnswer: i, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 23*u + 68. Let g be t(-7). Let l(j) = 3*j**2 + 8*j + 2. Let m be l(-6). Let i = g + m. What is the highest common factor of i and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. Let g be (1\/b)\/(1\/(-2)). Let c = 3.6 + -3.5. What is the closest to c in -0.2, -2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s)*(6 - 4 + 0)*(15 + 25 - 22)*(27 + 2 + 21).\nAnswer: -3600*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -3\/2*i**2 - 1\/4*i**3 + 0 + 1\/8*i**4 - 3*i. Find x such that v(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36b (base 12) to base 7\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 467 * -687.\nAnswer: -320829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6336 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1137522 greater than -1137522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*o**2 + 1\/3*o**4 + 1\/3*o**3 - 4*o + 0.\nAnswer: o*(o - 3)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 8 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 43*u + 691. Let s be p(-14). Let w be ((-1 - -1) + -13)*-7. Suppose -s*t = -w*t + 80. What is the highest common divisor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 19. Let i be y(6). Let z(o) = -o**3 + 13*o**2 + o - 19. Let t be z(i). Let k = 17 + t. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(200) + -2 + -4)**2 - -4*(4 + sqrt(50) + -1)**2.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w. Let l(v) = -20*v - 13761. What is l(y(g))?\nAnswer: 80*g - 13761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtggtggg. What is prob of sequence gg?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let q = -2 - -3. Calculate the lowest common multiple of q and c*(-33)\/6*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1378*z - 59273. Give b(-43).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1065838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-462) + (-4)\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935918 is divided by 11950?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*c + 58483 - 58507, 0 = -u + 3*c + 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*s - 3*j, 61*j + 56 = 4*s + 57*j. Suppose 1 = 2*w + f + 30, -w - 2*f - 10 = 0. Let h = w - -38. Calculate the remainder when h is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223840 is divided by 74551.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 50.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 - (4 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*s + 0*s = 5, 2*r - 5*s + 3 = 0. Let a = 9\/4 - 107\/44. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 14. Let y be x(0). Suppose i - 5*u = -0 - y, 2*i = 5*u - 13. Let g = 0 - i. Is -2\/9 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 44 = -14*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/4)\/a)**(-2\/85)*a**0*a**7 assuming a is positive.\nAnswer: a**(1187\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3*j**5 + 100*a**3 + a**2*j - 3*a*j**4 wrt j.\nAnswer: -80*a**3*j**3 - 36*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-624)\/288)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let z = -32 + 46. Suppose 0*j = -o*j + z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118, 241, 518, 1027, 1846, 3053?\n\"Answer: 13*a**3 - a**2 + 35*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1064 at least as big as -59589\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -77522?\nAnswer: -77522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 3*y + 0*y - 10*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 57 = 3*u, -u = 3*s + 3*u + 62. Let w = 21 + s. What is the remainder when 33 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*l - 6*l - 8*l to the form v*l + i and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5362?\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3401209 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189, 710, 1211, 1686, 2129, 2534, 2895, 3206?\n\"Answer: -p**3 - 4*p**2 + 540*p - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + -1 + (-3 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 484140 times 0.1\nAnswer: 48414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16151413 and 1057.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 184*r**3 - 8*r + 8. Let h(s) = 182*s**3 - 6*s + 7. Calculate 8*h(i) - 7*q(i).\nAnswer: 168*i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 129*p**2 + 15*p + 34. Calculate i(-2).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64565061 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724 + 0.20839?\nAnswer: 1724.20839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*p**2 + 0 + 2\/3*p.\nAnswer: -2*p*(5*p - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 31, 42, 57, 76?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 5*p - 2. Let u be h(-5). Let l = u + -5. What is the smallest common multiple of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124.1 + -27.1. Let o = -94 + v. Let c = 5 + -3. What is the smallest value in -0.3, c, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222312 (base 4) to base 7\nAnswer: 43610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 19707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -34*m + 258. Let q = 4 - 1. Solve m*j = 5*f + 16 - 0, q*f + 2*j = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100582645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 + 7*a**2 + 5*a - 112. Calculate n(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f. Let z be g(1). Suppose -z*q + 8*q - 6 = 0. Let p be (-1)\/q - (-50)\/6. Solve -r = 3*r - p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 747 + 84*b - 159 - 587*b**2 + 590*b**2 = 0. What is b?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 17*b**4\/4 + 73*b**3\/6 - 102*b**2 + 62. Let q(z) be the second derivative of o(z). Differentiate q(f) wrt f.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17717322 + 1?\nAnswer: -17717321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n. Let o(s) = s + 1. Let w(t) = c(t) + 4*o(t). Let z be w(5). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-0.44270462136\nAnswer: -1.04270462136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-33)\/(-4))*(8 + -4). Suppose -1 = 4*l - i. Suppose -3*c + 3 = -2*c. Solve s + l = -c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2 + 7. Put r, -0.4, -0.6 in decreasing order.\nAnswer: r, -0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2166\/(-18))\/((-12369)\/5859).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 508372.3 and 0.3.\nAnswer: 508372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12302006 (base 8) to base 6\nAnswer: -134152102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(((1*sqrt(392) - sqrt(392))\/sqrt(7) + sqrt(56) - sqrt(56) - sqrt(56)) + sqrt(56))\/(sqrt(392)*2 + sqrt(392) + sqrt(392)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:28 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -4)\/((-2)\/(-4)). Let y = t + 19. What is the remainder when y is divided by 6\/15 + (-36)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:37 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from spgsssmpvsvwsssvpgmp?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -743*b**3 - 8*b**2 + b - 28080 wrt b?\nAnswer: -2229*b**2 - 16*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*h = 3*g + 378*h + 2, 40 = -4*g - 4*h for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 957 - 957.000571. What is z rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706472.\nAnswer: 2, 3, 137, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-21)\/(-6)) - -8. Let g = t + -3. Solve z - 2 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 15, 5*i = -0*d - d + 29. Let y = 1467360 + -1017368. Suppose d*u + 359984 = -4*c, -y = 5*u - 0*c + 2*c. Round u to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Let r be (-4)\/(-14) + (-480)\/(-35). Suppose r*w - 9*w = 0. Sort a, w, 2 in increasing order.\nAnswer: a, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) -23\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 b when three letters picked without replacement from hbbbbbhbbhbb?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7999051 and -3282?\nAnswer: 7995769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(1\/(-3)). Let v(j) = 8*j**2 - 2*j - 8. Let f(s) = s**3 + s**2 - s - 1. Let p(g) = i*f(g) + v(g). Does 10 divide p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**3 + 745*f**2 - 1210*f + 480.\nAnswer: -5*(f - 48)*(f - 1)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755250 divided by 19.\nAnswer: 39750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 212037.8 greater than or equal to -0.531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 245 - 811. Let k = 8418 - 7904.3. Let o = k + h. Round o to zero dps.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 256\/480 - (-4)\/(-10) - (-232)\/60. Let g(r) be the third derivative of -1\/2*r**3 - 1\/160*r**6 + 0 + 0*r - 1\/4*r**m - 1\/16*r**5 - 11*r**2. Factor g(y).\nAnswer: -3*(y + 1)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 65*w = 64*w - 8, 1 = -2*u - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**3 + 2*s**3 - 31*s - 14*s)*(-3*s - 16*s + 5*s) to the form z*s**3 + d*s**4 + i*s + q*s**2 + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2279*w + 342 = -2273*w. Calculate the highest common factor of 11647 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1106, 1111, 1118, 1127, 1138, 1151, 1166?\n\"Answer: m**2 + 2*m + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Let s(q) = -29*q**3 - 16*q**2 - 2*q + 1. Let k be s(-1). Solve x + f*x - k = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 8 = t + 5*a, a - 2 = 0. Let o be 566\/30 - 30\/(-225). Solve 0 = l + t, o = -0*q - 4*q - l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -78.84.\nAnswer: -79.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -5*d**4\/6 + 6*d - 72. Let j(m) be the first derivative of z(m). Let r(f) = 3*f**2. Calculate r(j(t)).\nAnswer: 300*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -58*q + 4. Let i(c) = 59*c - 6. Determine -4*g(n) - 3*i(n).\nAnswer: 55*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4207252 and 322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p + 7. Let v be z(-7). Let t be (39\/(-143))\/(6\/4). Which is the nearest to -0.2? (a) v (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f*f)\/(f*f\/(f*f**(3\/2)*f*f)))\/((f\/(f*f**(-5\/6)*f))\/f**(-4)))\/(((f*f\/(f**(3\/2)\/f))\/f)\/f**(-4\/9)*(f*f\/f**(2\/5))**(-49)) assuming f is positive.\nAnswer: f**(6941\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900420542.\nAnswer: 2, 3, 499, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 638979 and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7611301, -15222600, -22833899, -30445198, -38056497, -45667796?\nAnswer: -53279095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.7, -1\/7, -775, -6, 0.07, 0.3, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14581*b**3 + 1104*b**2 + 199530912*b?\nAnswer: 87486*b + 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45087*m**3 + 135*m**2 - 271*m**2 + 3*m + 136*m**2.\nAnswer: 45087*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 771.9704 hours?\nAnswer: 2779093440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.27 + 1.67. Suppose 5*b - 8 + 4 = -3*n, 0 = b + 3*n - 8. What is the biggest value in w, 0.036, -2, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 18, 20, 22, 24, 26?\n\"Answer: 2*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - (10 + -31)) - -34.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 449 and 11.\nAnswer: 4939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*k - 71*k + 20*k**2)*(30*k + 17444 - 17444) as g*k**2 + y*k**3 + q*k + a and give y.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/19)*n**(16\/5)\/n*(n**(1\/6))**(-47) assuming n is positive.\nAnswer: n**(-3181\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/3))**35*o**(-2\/21)*o**(-6\/11))\/((o\/((o\/(o*(o**(4\/9)\/o)\/o))\/o))\/(o*o\/(o*o\/(o**(3\/5)\/o))*o))**45 assuming o is positive.\nAnswer: o**(1388\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*a - 246*a = 156*a - 7105 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 10*l + 5 - 4 + (-1 + 1 - 2*l)*(-2 - 1 + 4) - 3*l + 3*l - 4*l + 1 + 2*l - 1.\nAnswer: -13*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14*(-4 - (-12)\/126*30). Suppose 54 = -0*t + 3*t. Let m = t - a. Solve 5*n = 5*b - 0*n + 5, -m*n - 18 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2575704643 and 5.\nAnswer: 2575704648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0 + 4. Suppose s + 4*f + 8 = 0, f + 3*f = -5*s + 8. Suppose 4*k + 0*k + g - 23 = 0, -k + 17 = s*g. Sort 0, i, k in decreasing order.\nAnswer: k, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. Let h(b) = -55 - b + 27 + 24 + b**i. Determine h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17606716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -12*v + 33*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 29364 and 2066366.29.\nAnswer: 2095730.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*r**6 - 15*r**5 + 9*r**2 - 48*r wrt r?\nAnswer: 6720*r**3 - 900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -23*h**3 - 10*h**2 - 5*h. Let b(x) = 68*x**3 + 30*x**2 + 14*x. Let f(m) = 5*b(m) + 14*t(m). What is the third derivative of f(k) wrt k?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 12 = 0. Sort -5, -2, r in descending order.\nAnswer: -2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i. Let a(z) = -24*z**2 - z + 12. Let w(b) = -a(b) - 3*s(b). Is w(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.12 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 divided by 192?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 - 2 - 7*y + 0*y - 1 - 3*y**3 - 2*y**4 as i + d*y**3 + c*y**4 + a*y + r*y**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 2, d: 3, t: 2}. What is prob of picking 2 x, 1 d, and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2922269\/464 - 6298. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -745*g - 250. Let t be a(-4). Calculate the greatest common factor of t and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -144255 - 1125?\nAnswer: -145402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -78, -1, 3, 2, -12, -2.\nAnswer: -78, -23, -12, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*f = 0, k + 2*k + 4*f - 26 = 0. What are the prime factors of (-2 - 78\/9)\/((-2)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 134*x + 1. Let y(r) = 7*r**2. Calculate k(y(f)).\nAnswer: 938*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148065 and 65?\nAnswer: 14924845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -6. Let v be (13254\/(-18))\/((-13)\/39). Let x = v + -11087\/5. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6590 - 6587. Solve 4*u = -f + 13, -2*f + 8 = -s*u + 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -1.535?\nAnswer: 0.2149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1296\/(-28))\/(-3)*7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - q**3 + 2114*q**2 - 2*q + 1 - 16.\nAnswer: -q**3 + 2114*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w + 8. Let l(k) be the first derivative of -k**4\/4 + 8*k**3\/3 + 3*k**2\/2 - 2*k + 1. Calculate the least common multiple of w and l(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**7\/504 + v**6\/72 + 5*v**5\/8 - 6*v**4 + 29*v - 1. Let g(u) be the third derivative of o(u). Determine x so that g(x) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 2, 3 in ascending order.\nAnswer: -21, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 386363 = 2*c + 17*t, -2*c + 386388 = -2*t. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 397 + 23. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 9000 = 21*l. Which is greater: l or 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -59 (d) -1 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061 take away 0.2?\nAnswer: 1060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.30576 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(343) - (sqrt(343) + sqrt(343)*-1)) + (sqrt(114) - 3*sqrt(114))\/sqrt(6) + (-1*sqrt(209))\/sqrt(11).\nAnswer: -20*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 576, 850, 1110, 1350, 1564, 1746?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + -3 + sqrt(1573) + 0 + sqrt(1573) + 1.\nAnswer: -2 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*j - 1275 = 0, 607 - 1882 = -5*h + 4*j. Suppose 3*g = -2*g + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 225877*b - 1165021 wrt b?\nAnswer: 225877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j - 17. Let u be b(6). Let m be u + 0 + 20\/(-5) - -65. Calculate the greatest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -123, 5, 6, -2\/171?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5651955 is divided by 79605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2. Let u(k) = 1009*k**2. What is u(b(p))?\nAnswer: 25225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 6. Let h be m(6). Let n = 8 + h. Let l(w) = 0 - 3*w**n + 1 + 2*w**2. Determine l(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3, 877?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + f + 22 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s - m + m = -m + 184, 3*s = -2*m + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 25 = 63*w - 67*w, 0 = -5*w + 3*p - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*s + 2*s - 2*w, 3 = -s - 2*w. Suppose s*c = -2*c + 20. Suppose f = 2*f - c. Put -2\/11, f, -0.3 in decreasing order.\nAnswer: f, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5543*o - 615072. Calculate y(111).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-329)\/(-56)*76 + (-3)\/(-2). Calculate the highest common divisor of 35 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -140. Suppose 3*a - 58 = -s*o + 80, -o - 36 = -a. Calculate the highest common factor of a and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q*q)**33\/((q\/(q\/(q*q**0*q*q*q*q)))\/q)**(-35) assuming q is positive.\nAnswer: q**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1110 - -3?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let g(m) = -436597896*m. Give g(b(p)).\nAnswer: 436597896*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g = 64*g - 8532466 + 8529458 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 3. Let d be o(-2). Let i(w) be the third derivative of -w**6\/120 + w**5\/15 - w**4\/12 - 2*w**3\/3 + 30*w**2. What is i(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6438 and 65\/518.\nAnswer: 45066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -223*l**4 - 3*l**2 - 2671?\nAnswer: -892*l**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(5\/(-25))\/((-2)\/(-5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00980712 rounded to four decimal places?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 g when three letters picked without replacement from bgbbbbbybbb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(0 - 1))\/(40 + (-4879)\/123)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*n + 20, 0 + 8 = 2*k - 4*n. Let w(p) = p**3 + 5*p**2 + p + 4. Is w(k) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9276 - 28334 = -10*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*u + 362*u + 3*u**3 - 1061*u + 360*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 + 4918*p**3 + 6012121*p**2 - 85072068*p + 79055028 = 0. What is p?\nAnswer: -2466, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.049 - 0.061. Let f = -0.022 - 0.368. Let u = f + d. Sort u, -0.4, 0.2 in decreasing order.\nAnswer: 0.2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - (72\/(-12) + 4). Suppose 3*p - 3*y = 0, 5*p - y = 12 - 28. Which is greater: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -19540249\nAnswer: 19540248.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (10 - (-3 + (8 - 1))) + (45 - 5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:28 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24668 = 4*c + 4*r, -228*c + 5*r = -230*c + 12319. What are the prime factors of c?\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 155212, 155211, 155210, 155209, 155208?\n\"Answer: -t + 155213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 22 = 2*s, -3850*f + 3847*f + 53 = -4*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, p: 6}. What is prob of sequence aa?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*h**3 + 45 - 47 - 654*h**2 + 329*h**2 + 325*h**2.\nAnswer: 386*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88080.01 kilometers in micrometers?\nAnswer: 88080010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 71.3.\nAnswer: 213.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5*6*2*sqrt(128) + 2*sqrt(128) + 5 + -3)*3)**2.\nAnswer: -8352*sqrt(2) + 3875337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (99*j - 192*j + 95*j + 44)*(3*j**2 - 2 + 2) to the form n*j**2 + m + p*j**3 + t*j and give n.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 437891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56348036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140094026.\nAnswer: 2, 70047013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5 - 924*y**4 + 140080*y**3 - 6566976*y**2 - 68919552*y + 1214853120 = 0.\nAnswer: -16, 10, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 + 3\/(-3)). Let q(d) be the first derivative of 2 + y*d + 1\/2*d**2. Let s(o) = -o**2. Give q(s(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8077.\nAnswer: 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k - 29. Let m be g(6). Differentiate -21*n + 7*n - m*n + 69 wrt n.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 4. Let r be z(7). Let n(f) = 1 + 6*f - 7*f - r. Determine n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjmajbjajjbwjvmjj. Give prob of picking 1 m, 1 w, and 1 a.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(36) + sqrt(36) + sqrt(36))\/sqrt(12).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 125\/1125 - 184\/36. Let k = 5 - 4.7. What is the third smallest value in 1\/6, 11, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -20, -151, -408, -833, -1468, -2355?\nAnswer: -3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6816 and 6248?\nAnswer: 74976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4399709?\nAnswer: 4399709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54698549.\nAnswer: 19, 757, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 - (-1 - 1). Suppose 0 = -n - 2*b + 7, k*n = n + 3*b - 4. Let a(m) = 33077*m - 1. Let v be a(n). What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*j**3*y**2 - f*j*y**3 - 5*f*j*y - 44*j**3*y**3 + 2*j**3 - j**2*y**3 + 5*j**2*y**2 wrt j?\nAnswer: -18*f*y**2 - 264*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1998.31t?\nAnswer: 1998310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 - 8 + 108)*((5*b - 2*b - 2*b)*(3*b + 2*b - 6*b) + (-1 - b + 1)*(-4 + 4 - 3*b) - 3*b**2 + 0*b**2 + 2*b**2).\nAnswer: 243*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8643111*m**2 - 5618355 with respect to m.\nAnswer: -17286222*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2. Let z(j) = -5*j**2. Let y be 1\/(-6) - 628\/(-24). Let t = y - 17. Let w(v) = -v**2. Let c(g) = t*w(g) - 2*z(g). What is r(c(k))?\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-3 - ((0 - -3) + 1)). Let y be ((-95)\/(-57))\/((-5)\/f). Let j(v) = 8*v - 1. What is j(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*r - 237. Let q(n) = -n**3 + 31*n**2 - 59*n + 50. Let o be q(29). Calculate the highest common divisor of r and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 159. What is the biggest value in -1\/2, -35, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 104. Solve 3*s + d = 3*n + 2*s, 0 = -3*n + 3*s + 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -50.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 2*l + l)*(0 - 1 - 1)*(-1 + 3 - 3).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -379 + 796. Let l = c - 406. Solve 3*x - 2*k = l, 13 = 2*x + 4*k - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 9*h - 6*h)*(-4*h - 3*h + 2*h) - 201 - h**2 + 241 + 174.\nAnswer: -51*h**2 + 214","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -54. Suppose m - 519 - 164 = -2*y, u*m = -2*y + 680. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 62*d + 923. What is a(26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-180)*-20*(-54)\/(-10)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*c + 5547, 3*w + 22218 = 7*w - 5*c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -382947*q + 382. Let g be z(6). Round g to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t = -116*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24051534*c**2 - 12025792*c**2 - 12025732*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57837127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120502 - 127189.9. Let k = t - -6427. Let l = 282 + k. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172.069 + -172. Let l = -0.569 + d. Let k = -1 - 0. What is the second biggest value in k, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 + w - 1. Determine c(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4366 (base 9) in base 7?\nAnswer: -12246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 779.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -1, -500, 8, 3 in descending order.\nAnswer: 8, 3, -1, -32, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 15*p**2 + 28*p + 9. Give l(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.104 - -54.104. Let x = j + -51. Which is the third smallest value? (a) 1 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270456 divided by -6\nAnswer: -45076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -142 (b) 3 (c) -0.02 (d) -4 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28474?\nAnswer: 2, 23, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 23. Let a(n) = 3*n + 225. What is a(j) - 3*g(j)?\nAnswer: 9*j + 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/12*(-50)\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -108*h - 1632. Let d be o(-15). Let c(u) = 4*u**2 + 47*u + 2. Determine c(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6585?\nAnswer: 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1722*p - 80595 - 134298 = 931*p for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-132)*9)\/((-2)\/(176\/99)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -41?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 10:22 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10121*v - 23 = -10122*v - 4*h, v - 17*h = -103 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 15*c**2 + 18*c + 20. Let o be p(-10). Suppose -13*n + 1263 - o = 0. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 102\/(-14). Let t(i) be the second derivative of -i**3\/2 - 5*i**2 + 6*i. Is t(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224082832 by -3.\nAnswer: -224082832\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 t when four letters picked without replacement from {t: 1, p: 8, l: 2, a: 4, e: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**3 - 11\/20*q**5 + 0*q**4 + 0 + 14*q - q**2. What is the first derivative of h(d) wrt d?\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 71620648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(77)*3 + sqrt(77) - sqrt(77)) + sqrt(77))*-2)\/(sqrt(21)\/sqrt(3)*-5 - sqrt(567)*-1).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585022509 to the nearest integer?\nAnswer: 24187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 143. Let r be j(12). Let f be (r*(-3)\/15)\/((-33)\/55). Factor 1\/3*y**3 + 0 - 1\/3*y**2 + 1\/3*y**4 - f*y.\nAnswer: y*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/2*(1 + -3). Suppose 0 = -s + y - 2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 5*m = 612. Let s = 14 - 9. Suppose s*i = 46 + 14. What is the highest common divisor of m and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iru when three letters picked without replacement from {s: 3, d: 3, u: 3, r: 10, i: 1}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 96 - -3539\nAnswer: 3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7935736 is divided by 89?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 + 0*n**4 + 1\/10*n**5 + 1\/2*n**2 + 0*n**3 + 2*n. Differentiate m(l) with respect to l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 21\/6)*4. Suppose 5*r - s = 2*w, 0 = 5*w - 5*r - 7 - 3. Is -2 + w + -1 - -397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 76. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**2 + 83*i**2 - 36*i**2 - 35*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 167 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141948 and 52.\nAnswer: 1845324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041177 minus 0.4?\nAnswer: -0.358823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + -5 + -2 + sqrt(5) + 0)**2 - (sqrt(35)\/sqrt(112) + -3 + sqrt(20)\/sqrt(4)).\nAnswer: -101*sqrt(5)\/4 + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122923 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 + 3*r - 1. Let j = 16 - 11. Suppose 2*t = -4*k + 20, 0*k - k + j*t = -16. Suppose 2*g + f + k = -f, -2*g - 3*f = 5. Calculate b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7529, -30163, -67897, -120731?\n\"Answer: -7550*l**2 + 16*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7179 + -7093. Which is smaller: g or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315900 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: Suppose -5*b + 5 = -0*b. Suppose 0*u - 2*u = 3*f - b, 5*u + f = -4. Put 4, u, 0 in decreasing order.\nAnswer: 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2 - 5*v - 8. What is the units digit of b(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 116054 + 20866 = -3*h, -4*v = 4. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1023315.81 - 0.4.\nAnswer: 1023315.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3875*2 - (1960\/196 - 1*6)?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 649*i + 276?\nAnswer: 649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -339714 times -0.429\nAnswer: 145737.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c + 1525 = -443 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 45*y - 46*y = 68, -5*b + 3*y + 19 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78588*o**2 - 26194*o**2 - 26198*o**2 - 26196*o**2 - o**3 - 14*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117682217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 + sqrt(108) + -3*sqrt(108) + -3*sqrt(108)*-3)**2.\nAnswer: 96*sqrt(3) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-123)\/(-287)*(-6)\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5 and -85\/9368664.\nAnswer: 46843320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.93 + 0.97. Let p = h + -4. Which is the second biggest value? (a) -1\/4 (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 14*q - 51. Suppose z + 25 = q*z. Let u = z + -21. Which is smaller: -17 or u?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1497274*0.047.\nAnswer: -70371.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104198890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 15 (c) -5.939 (d) -6 (e) -4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156666451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1279, -2653, -4027, -5401, -6775, -8149?\nAnswer: -9523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1862, 1885, 1916, 1949, 1978, 1997, 2000, 1981?\n\"Answer: -h**3 + 10*h**2 + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q - 84 = 0. Suppose 0*i + q = 5*n - 2*i, 0 = 3*i + 9. Solve -n*z = 2*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -28. Suppose 0 = -8*b + o*b. Solve f + b = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57844871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 91. Put m, -5, 2\/3, 0.2 in descending order.\nAnswer: m, 2\/3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332476002 = 25*b + 165773998. Round b to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 6*d - 4. Let s be y(3). Let o = s - 3. Let b(v) = -25*v - 171. Let c be b(-7). Solve c = -o*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725630277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.171 + -13.171. Sort -20\/9, -6, o, 4\/7 in ascending order.\nAnswer: -6, -20\/9, 4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8037981 and 113211?\nAnswer: 8037981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 3*f + 151 = 11 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38950?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 + -1?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 3*r**2 + 4. Let m be z(3). Suppose -15 = -m*v - 3*o, -3*v = o - 11 - 4. Solve -4*s = -0*t + 3*t + 11, -t - v = -s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:13 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 46*s**2 + 36 - 78*s - 71*s**3 + 32*s**3 + 37*s**3 - 6*s**4.\nAnswer: -2*(s - 3)*(s - 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17290.00007763 - -17290. What is n rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9110697ml?\nAnswer: 0.0009110697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0. Let i be (-1)\/(-4) + (-21)\/(-60). What is the second smallest value in t, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/8606442 and 71\/1324068?\nAnswer: 17212884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8979164 - 360*u**2 - 48*u - 8979164 + 96*u - 47*u.\nAnswer: -360*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**4 - 93*x**3 + 11. Let w(l) = 7*l**4 + 374*l**3 - 45. Let h(f) = -22*j(f) - 6*w(f). Differentiate h(q) with respect to q.\nAnswer: 8*q**3 - 594*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:43 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/33 + -31\/66. Which is the smallest value? (a) p (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > -2\/521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(4\/((-120)\/(-50))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*t + 2*j, -5 = -5*t + j - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2 - 4*m. Let g(u) = -u**3 - 6*u**2 - 3*u. Determine -3*b(l) + 4*g(l).\nAnswer: -4*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54069*y**5 + 2*y**4 + y**2 + 132490 wrt y?\nAnswer: -3244140*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**10\/6048 - q**9\/1008 + q**7\/126 - 7*q**4\/6 + 2*q. Let m(s) be the third derivative of v(s). Solve m(r) = 0 for r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a + 2. Let n(o) = -24*o - 3. Does 17 divide n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + g + 4*g - 299 = 0, 0 = 2*y + g - 311. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 94. What is the highest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/7 + 1354*n**3\/7 + 5370*n**2\/7 - 9442*n\/7 - 13460\/7 = 0 for n.\nAnswer: -673, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}